Acylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for me and round to the nearest hundredth
adius hype your answer...
1

Answers

Answer 1

The radius of the cylinder is 2.25 feet.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume V is 400 cubic feet and the height h is 25 feet, we can substitute these values into the formula and solve for the radius r.

400 = 3.14 r² x 25

Dividing both sides of the equation by (3.14 * 25) to isolate r^2, we have:

r² = 400 / (3.14 x 25)

r² ≈ 5.08

Taking the square root of both sides to solve for r, we get:

r ≈ √5.08

r ≈ 2.25

Therefore, the radius of the cylinder is 2.25 feet.

Learn more about Volume here:

https://brainly.com/question/28058531

#SPJ1


Related Questions

Need the correct answers for this. Can you help me?

Answers

The length of PQ is 3√5 and its slope is -2

The length of SR is 3√5 and its slope is -2

The length of SP is 5√2 and its slope is -7

The length of RQ is 5√2 and its slope is -1

So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of  side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.

Understanding Quadrilateral

To find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:

D = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]  

and the slope formula:

m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

1. Length PQ:

Using the distance formula, the length PQ can be calculated as follows:

PQ = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

  = √((3 - 0)² + (-4 - 2)²)

  = √(3² + (-6)²)

  = √(9 + 36)

  = √45

  = 3√5

2. Length SR:

Using the distance formula, the length SR can be calculated as follows:

SR = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

  = √((1 - (-2))² + (-5 - 1)²)

  = √((1 + 2)² + (-6)²)

  = √(3² + 36)

  = √(9 + 36)

  = √45

  = 3√5

3. Length SP:

Using the distance formula, the length SP can be calculated as follows:

SP = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

  = √((1 - 0)² + (-5 - 2)²)

  = √(1² + (-7)²)

  = √(1 + 49)

  = √50

  = 5√2

4. Length RQ:

Using the distance formula, the length RQ can be calculated as follows:

RQ = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

  = √((-2 - 3)² + (1 - (-4))²)

  = √((-2 - 3)² + (1 + 4)²)

  = √((-5)² + 5²)

  = √(25 + 25)

  = √50

  = 5√2

Now, let's calculate the slopes of the sides:

1. Slope PQ:

The slope of PQ can be calculated using the slope formula:

m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

  = (-4 - 2) / (3 - 0)

  = -6 / 3

  = -2

2. Slope SR:

The slope of SR can be calculated using the slope formula:

m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

  = (-5 - 1) / (1 - (-2))

  = -6 / 3

  = -2

3. Slope SP:

The slope of SP can be calculated using the slope formula:

m =[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

  = (-5 - 2) / (1 - 0)

  = -7 / 1

  = -7

4. Slope RQ:

The slope of RQ can be calculated using the slope formula:

m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

  = (1 - (-4)) / (-2 - 3)

  = 5 / (-5)

  = -1

Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:

Length PQ: 3√5

Length SR: 3√5

Length SP: 5√2

Length RQ: 5√2

Slope PQ: -2

Slope SR: -2

Slope SP: -7

Slope RQ: -1

Learn more about quadrilateral here:

https://brainly.com/question/23935806

#SPJ1

(PLEASE ANSWER ASAP)

Answers

Answer:

alternate interior angles are congruent

A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.

What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?

Answers

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Use an associative law to find an expression equivalent to
s + (r + 75)

Answers

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

For more questions on expressions

https://brainly.com/question/30715930

#SPJ8

Can you factor 5v²-30v+70

Answers

Answer: Unfactorable

Step-by-step explanation:

5v^2-30v+70

5(v^2-6v+14)

You can't factor v^2-6v+14 with rational numbers


What is the value of the expression
226 28

(25)6
-? Show your work.

Answers

The value of the expression 226²⁸ ● (25)⁶ is approximately [tex]4.1406562 \times 10^{119.[/tex]

To evaluate the expression 226²⁸ ● (25)⁶, we can follow the order of operations (also known as PEMDAS/BODMAS) which states that we should perform any calculations inside parentheses, then evaluate any exponents, and finally perform any multiplications or divisions from left to right.

Let's break down the expression :

Evaluate the exponent (25)⁶

[tex](25)^{6} = 25^{(6\times 1)} = 25^6 = 244,140,625[/tex]

Substitute the value into the expression:

226²⁸ ● 244,140,25.

Evaluate the exponent 226²⁸

[tex]226^{28} = 226^{(2\times28) = 226^{56 \\[/tex]

Now, calculating [tex]226^{56}[/tex] might not be feasible manually due to the large exponent.

However, we can use a calculator or a computer program to obtain the result.

[tex]226^{56} \approx 1.6951718 \times 10^{112[/tex]

Substitute the value back into the expression:

[tex]1.6951718 \times 10^{112[/tex] ● 244,140,625

Perform the multiplication:

[tex]1.6951718 \times 10^{112}\times 244,140,625 \approx 4.1406562 \times 10^{119[/tex] .

For similar question on expression.

https://brainly.com/question/25968875

#SPJ8

Fill in the table using this function rule y= - 2x + 3

Answers

Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

using the centriod explain the relationship between point z and the triangle. justify with applicable theorem.
4. if the length of gu is 18 units, what is the length of gz?
5. if the length of zt is 4.8 units, what is the length of ot?
show all work

Answers

Length of gz = 12 units

Length of ot = 14.4 units

Given,

Triangle EGD with centroid at Z .

Now,

As we know that centroid divides the line segment in the ratio 2:1 .

Firstly calculate the length of gz,

gu = 18 unit

gz:zu = 2:1

gz = 2/3  * 18

gz = 12 units .

Secondly calculate the length of ot,

zt = 4.8 units

oz:zt = 2:1

oz = 4.8 * 2

oz = 9.6 units

ot = 9.6+ 4.8

ot = 14.4 units

Hence with the centroid length of ot and gz can be found out .

Know more about triangles,

https://brainly.com/question/30420011

#SPJ1

Help pls i don't understand

Answers

ΔFSH ≅ ΔFSI by the rule of angle-angle-side theorem, or AAS.

What is Angle- Angle - Side theorem?

The angle-angle-side theorem, or AAS, tells us that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

If we consider triangle FSH and triangle FSI, we will observe the following;

angle HFS = angle IFSangle FSH = angle FSIlength HS = length SI

So based on the  angle-angle-side theorem, or AAS, we can see that triangle FSH is congruent to triangle FSI.

Thus, our answer will be; ΔFSH ≅ ΔFSI by the rule of angle-angle-side theorem, or AAS.

Learn more about angle-angle-side theorem here: https://brainly.com/question/3168048

#SPJ1

Choose the equatio
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).

1. 4x − y = −6
2. x + 4y = 7
3. x − 4y = −9
4. 4x + y = 2n that represents a line that passes through points (−1, 2) and (3, 1).

Answers

Answer:

x+4y=7

Step-by-step explanation:

A vet records the weight of all the dogs she has seen in the last week the data is recorded bellow in pounds. 61, 10, 32, 19, 22, 22, 29, 36, 14, 49, 3 What is the mean Median, mode, standard deviation, and the outlier (if any)?

Answers

Answer:

Mean: 27

Median: 22

Mode: 22

Standard deviation: 17

No outlier (61 might be one just check with people you know and see if they have an outlier or not)

Step-by-step explanation: Give a definition of mean, median, mode…and just add your answers.

Part A
Study the two functions shown, A(t) and 12∙J(t). Based on the graph and the data, what kinds of functions are they? Choose among linear, quadratic, and exponential. Describe the features of each function that gave you clues.







15px









Space used (includes formatting): 134 / 15000
Part B
The equation A = Pert describes a bank loan that compounds continuously. The variables in the equation are described in the table:

Variable Definition
A This is the principal and interest on the loan. Principal is the amount of money borrowed. Interest is a graduated fee paid to the bank for the privilege of borrowing its money.
P This is the principal, or the amount of money borrowed. Don’t confuse P in the compounding interest equation with P in the profit equation. One is principal, the other is profit.
e This is Euler’s number, e ≈ 2.7, used in exponential functions that are continuously compounding.
r This is the interest rate expressed as a percentage.
t This is the time allotted, in years, to repay the loan. It’s also called the life of the loan.
For the sake of this activity, assume that you will collect profit from sales for a number of months and then use a portion of that profit to pay off the entire loan in one lump-sum payment once the loan terminates. Based on this assumption, what does the intersection of the 12∙J(t) curve and the A(t) curve represent? Explain using your own words.






15px









Space used (includes formatting): 0 / 15000
Part C
Take some time to gradually increase P in increments of $100,000 while keeping r and J(t) constant. What happens to the relationship between the two curves? What does this mean with respect to the bank loan? Why is this a dangerous situation with respect to the financial health of your business? Why would banks put safeguards in place to prevent this from occurring?







15px

Answers

Part A:

A(t) is a linear function, and 12∙J(t) is an exponential function. The straight line nature of A(t) indicates linear growth, while the curve of 12∙J(t) suggests exponential growth.

Part B:

The intersection of the 12∙J(t) curve and the A(t) curve represents the point where the accumulated profit from sales is sufficient to pay off the entire loan in one lump-sum payment.

Part C:

As P increases while keeping r and J(t) constant, the relationship between the two curves shifts, indicating a higher profit requirement to cover the increased loan amount. This is dangerous for business financial health and banks have safeguards to prevent excessive debt and defaults.

Part A:

From the given information, we have two functions: A(t) and 12∙J(t). Let's analyze their features to determine their types.

A(t) is a linear function:

A linear function is characterized by a constant rate of change and forms a straight line on a graph.

In the given graph, A(t) is represented by a straight line, indicating a linear relationship between the variables.

This suggests that A(t) is a linear function.

12∙J(t) is an exponential function:

An exponential function is characterized by a constant ratio or base and shows exponential growth or decay.

In the given graph, 12∙J(t) is represented by a curve that exhibits exponential growth.

The increasing rate of change as time progresses indicates an exponential relationship.

Therefore, 12∙J(t) is an exponential function.

Part B:

The intersection of the 12∙J(t) curve and the A(t) curve represents the point at which the profit generated from sales is sufficient to pay off the entire loan in one lump-sum payment. In other words, it represents the point in time when the accumulated profit matches the amount of the loan.

At this intersection point, the profit generated from sales has reached a level where it can fully cover the principal and interest owed on the loan. This indicates that the business has generated enough funds to repay the loan in its entirety.

Part C:

As the principal (P) is increased while keeping the interest rate (r) and 12∙J(t) constant, the relationship between the two curves changes. Specifically, the intersection point between the curves shifts to the right on the graph.

This change in the relationship between the curves signifies that the business needs a higher level of profit to cover the increased loan amount. It suggests that the business has taken on a larger loan, which requires a higher profit to repay.

This situation is considered dangerous for the financial health of the business because it increases the risk of not generating sufficient profit to repay the loan. If the business fails to generate enough profit to cover the loan payments, it may lead to financial instability and potential default on the loan.

To mitigate such risks, banks put safeguards in place to prevent businesses from taking on excessive debt. These safeguards include conducting thorough evaluations of the business's financial health, setting limits on loan amounts based on the business's income and creditworthiness, and assessing the repayment capacity of the borrower. These measures aim to minimize the risk of defaults and protect both the borrower and the lender.

for such more question on linear function

brainly.com/question/9753782

#SPJ8

5. If a triangular figure is in the shape of an
isosceles right triangle, what is the measure
of each base angle?

Answers

Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Find the radius and height of this cylinder. Calculate the area (A] of the base of the cylinder.
Then, use the area of the base to calculate the volume (VI of the cylinder.
r=
10 cm
h = 30 cm
- 20 gm
ABase
= 3.14 - (30 cm)?
- 9,420 cm?
V = ABase
• h
cm
cm?

Answers

Given statement solution is :- The area (A) of the base of the cylinder, you need to use the formula for the area of a circle, which is A = [tex]πr^2[/tex], where π is approximately 3.14 and r is the radius of the base.

To calculate the area (A) of the base of the cylinder, you need to use the formula for the area of a circle, which is A = [tex]πr^2[/tex], where π is approximately 3.14 and r is the radius of the base.

Given that the radius (r) is 10 cm, the area of the base (ABase) can be calculated as follows:

ABase =[tex]πr^2[/tex]

ABase = 3.14 * [tex](10 cm)^2[/tex]

ABase = 3.14 * [tex]100 cm^2[/tex]

ABase = 314 [tex]cm^2[/tex]

The area of the base is [tex]314 cm^2.[/tex]

To calculate the volume (V) of the cylinder, you need to multiply the area of the base (ABase) by the height (h):

V = ABase * h

V = 314 [tex]cm^2[/tex] * 30 cm

V = 9420 [tex]cm^3[/tex]

The volume of the cylinder is 9420 [tex]cm^3.[/tex]

However, there seems to be some confusion in the provided information. The given values for the area of the base (ABase) and the volume (V) are not clear. The values "- 20 gm" and "cm cm?" are not meaningful units for area or volume.

For such more questions on Cylinder dimensions and calculations.

https://brainly.com/question/27863529

#SPJ8

1/27^{4-x}=9^{2x-1}

Please if you could explain how you get your answer, that would be great.

Answers

The solution of the given equation is x = -10.

We are given that;

The equation 1/27^{4-x}=9^{2x-1}

Now,

This is an exponential equation that can be solved by using the properties of exponents and logarithms. Here are the steps to solve it:

Rewrite both sides of the equation using the same base. Since 27 and 9 are both powers of 3, we can use 3 as the base. We have:

(3(-3))(4-x) = (32)(2x-1)

Apply the power rule of exponents to simplify the expressions. The power rule states that (ab)c = a^(bc). We have:

3^(-12+3x) = 3^(4x-2)

Since the bases are equal, we can set the exponents equal to each other and solve for x. We have:

-12 + 3x = 4x - 2 -10 = x

Therefore, by the given equation the answer will be x = -10.

Learn more about equations;

https://brainly.com/question/10413253

#SPJ1

a sine function has an amplitude of 6, a period of pi, and a phase shift of pi/4 . what is the y intercept of the function?

Answers

y intercept will be 0,-6 .

Given,

Amplitude = 6

Time period = pi

Phase shift = pi/4

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side(perpendicular) to that of the hypotenuse in a right-angled triangle.

The sine function is used to find the unknown angle or sides of a right angled triangle.

Mathematically,

sinФ = p/h

Now ,

Let us assume the phase shift to be on right side.

So the graph will be at negative y axis.

Thus the points will be 0 , -6 .

Know more about sine graph,

https://brainly.com/question/12015707

#SPJ1

PLS HELP, BRAINLEST ANSWER GIVEN

This fraction is equivalent to

Answers

Answer:  A    -6x² + 2x -4

Step-by-step explanation:

[tex]\frac{-12x^{3}+ 4x^{2} -8x}{2x}[/tex]                             >Divide each of the top terms by 2x[tex]=\frac{-12x^{3}}{2x} +\frac{4x^{2} }{2x} -\frac{8x}{2x}[/tex]

= -6x² + 2x -4

4. In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 12 hours. Write a function showing the number of bacteria after t hours, where the hourly growth rate can be found from a constant in the function.
Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per hour, to the nearest hundredth of a percent.

Answers

The function representing the number of bacteria after t hours is N(t) = 5300 * (1 + 0.0592)^t, and the growth rate per hour is approximately 5.92%.

To represent the number of bacteria after t hours, we can use the exponential growth formula:

N(t) = N₀ * (1 + r)^t,

where N(t) is the number of bacteria after t hours, N₀ is the initial number of bacteria, r is the hourly growth rate, and t is the time in hours.

In this case, the initial number of bacteria is 5300, and the hourly growth rate can be determined from the doubling time of 12 hours. The growth rate can be calculated using the formula:

r = 2^(1/t_double) - 1,

where t_double is the doubling time in hours.

Substituting the given values, we have:

r = 2^(1/12) - 1 ≈ 0.0592.

Now we can write the function for the number of bacteria after t hours:

N(t) = 5300 * (1 + 0.0592)^t.

To determine the percentage of growth per hour, we can calculate the relative growth rate as a percentage:

percentage_growth = r * 100 ≈ 5.92%.

For more such questions on growth rate

https://brainly.com/question/29334875

#SPJ8


One of the advantages to an employer of paying employees piece rate or commission is that the employee is paid based solely on their performance. What is one disadvantage of this type of pay?

Answers

One main disadvantage of piece rate or commission pay is low quality.

Piece rate pay

Piece rate or commision pay involves paying workers based on coverage or performance. This way the company is able to cut short excess salary especially for low performing workers.

However, a notable disadvantage of piece-rate pay is that it can lead to employees sacrificing quality for quantity. When employees are paid based on the number of units they produce, they may be tempted to produce low-quality products in order to meet their quotas. This can damage the company's reputation and lead to customer dissatisfaction.

Therefore, piece rate pay will often lead to quality reduction.

Learn more on commision ; https://brainly.com/question/1024047

#SPJ1

the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone ​

Answers

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

What is the instantaneous rate of change y=sqrtx of at x = 2? Responses negative 1 over 2 negative 1 over 4 negative 1 none of these none of these

Answers

The instantaneous rate of change of y = √x at x = 2 is √2 / 2.

To find the instantaneous rate of change of y = √x at x = 2, we need to calculate the derivative of the function with respect to x and evaluate it at x = 2.

Taking the derivative of y = √x using the power rule for differentiation, we have:

dy/dx = (1/2) × x^(-1/2)

Now, substituting x = 2 into the derivative expression:

dy/dx = (1/2) × 2^(-1/2)

= (1/2) × √2

= √2 / 2

Therefore, the instantaneous rate of change of y = √x at x = 2 is √2 / 2.

None of the provided options (-1/2, -1/4, -1) are the correct instantaneous rate of change at x = 2.

for such more question on instantaneous rate

https://brainly.com/question/23377525

#SPJ8

What is the meaning of "definition of finiteness uses the notion of a natural number"?

Answers

Answer:

Look Below

Step-by-step explanation:

The statement "definition of finiteness uses the notion of a natural number" means that when defining what it means for a set or collection to be finite, the concept of a natural number is employed.

In mathematics, a set is said to be finite if it can be put into a one-to-one correspondence with a specific subset of the natural numbers. This subset typically starts with the number 1 and includes a finite sequence of consecutive natural numbers, depending on the size of the set.

For example, consider a set A with three elements: A = {a, b, c}. To show that A is finite, we can establish a one-to-one correspondence between the elements of A and the set {1, 2, 3} as follows: a ↔ 1, b ↔ 2, c ↔ 3. This mapping shows that each element of A corresponds to a unique natural number, and vice versa. Since there is a bijection (a one-to-one correspondence) between the elements of A and a subset of the natural numbers, we conclude that A is finite.

Thus, in the definition of finiteness, the notion of a natural number is used to provide a precise and rigorous characterization of what it means for a set to be finite. It allows us to establish a clear distinction between finite sets and infinite sets, which do not have a one-to-one correspondence with any subset of the natural numbers.

Round to the nearest hundredth place.
7.2 ft
15.1 ft

Answers

The volume of the tarp shelter is 65.37 ft³ .

Given,

Conic tarp shelter with radius 5.1 ft and height 7.2 ft .

Now,

Volume of cone = 1/3 × π × r² × h

Substitute the values in the formula,

Volume of cone = 1/3 ×3.14 × (5.1)² × 7.2

Volume of cone = 65.37 ft³ .

Hence volume of tarp shelter will be 65.37 ft³ .

Learn more about cones,

https://brainly.com/question/8103864

#SPJ1

How many of which types of roots does f(x) = 7x5 - 3x³ + 5x + 2 have?​

Answers

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x = 5/7,−3,3

Step-by-step explanation:

Translate this sentence into an equation. 42 is the sum of 23 and Janelle's age. Use the variable j to represent Janelle's age.

Answers

Answer:

42 = 23 + j

Step-by-step explanation:

The equation representing the given sentence would be:

42 = 23 + j

Here, the variable "j" represents Janelle's age.

Given f(x) = log2 (x+2), complete the table of values for the function -f(x) - 3. Show your work.

Answers

Answer:

Step-by-step explanation:

what three costs contribute to the total cost of a mortage?

Answers

Answer:

The three costs that contribute to the total cost of a mortgage are the down payment, mortgage tax and monthly interest.

Step-by-step explanation:

Learn more about it with this link down below;

https://brainly.com/question/15136793

Desperate Need Of Help

Answers

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

What is a domain?

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

Read more on domain here: brainly.com/question/9765637

#SPJ1

1) Complete one drawing of each regular polygon: equilateral triangle, square, and regular hexagon, following the animations.

2) Create a design based on one of the 3 polygons.

3) Write a description of your design. Include the following information:

How many lines of symmetry does the design have?
How many degrees does the design need to be rotated to match itself? (Hint: See the polygons at the start of the lesson.)
How did you decide to color your design?
What patterns do you see in your design?

Answers

The description of the image is one that has a four-horned star. The description is as follows:

It comprises of four equilateral triangles and One Square.

Next,

The image or shape has twelve (12) symmetrical lines.

Next,

It must be rotated 90° (clockwise or anticlockwise) in order for the image to match itself.

Learn more about Regular Polygons,

brainly.com/question/1592456

#SPJ1

A cheetah's speed was timed over a 50-yard distance. The cheetah was clocked running 60 miles per hour. Write an equation to represent this situation. (If your answering please show how you solved this)

Answers

An equation to represent this situation is y = 60x

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Based on the information provided above, we can logically deduce that the cheetah was clocked running 60 miles per hour over a 50-yard distance. This ultimately implies that, an equation that models this situation is given by:

y = 60x

Where:

y represents the distance.x represents the time in hours.

Read more on equation here: https://brainly.com/question/1382184

#SPJ1

Other Questions
For each of the following scenarios, indicate whether oxygen would be added or removed from seawater: a. Phytoplankton grow and reproduce b. Summer sun warms the surface water. c. Wind produces whitecaps on sea surface. d. Sewage spill produces rapid bloom of algae. (circle one add Oemove O (circle one): add Oremove 0: (circle one add Oremove 0 (circle one): add O: remove O 2. Current Attempt in Progress Vilas Company is considering a capital investment of $192,700 in additional productive facilities. The new machinery is expected to have a useful life of 5 years with no salvage value. Depreciation is by the straight-line method. During the life of the investment, annual net income and net annual cash flows are expected to be $11,562 and $47,000, respectively. Vilas has a 12% cost of capital rate, which is the required rate of return on the investment. Click here to view PV table. (a) Compute the cash payback period. (Round answer to 1 decimal place, e.g. 10.5.) Cash payback period years Compute the annual rate of return on the proposed capital expenditure. (Round answer to 2 decimal places, e.g. 10.52%) Annual rate of return % (b) Using the discounted cash flow technique, compute the net present value. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round answer for present value to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Net present value pick the single-step reaction that, according to collision theory, has the smallest orientation factor. Solve in Matlab: (I need the code implementation please,not the graph)1. draw the graph of y(t)=sin(-2t-1),-2 x 22.(i) draw the graph of y(t) =3 sin(2t) + 2 cos(4t), -2 x 2(ii) draw the graph of y(t) =3 sin(2t) - 2 cos(4t), -2 x 2(iii) draw the graph of y(t) =3 sin(2t) *2 cos(4t), -2 x 2 GNMENT S: CIVIL RESISTANCE, 1970s TO 1980s: SOUTH AFRICA: THE CHALLENGES OF BLACK CONSCIOUSNESS TO THE TO THE APARTHEID STATE find f(a), f(a h), and the difference quotient f(a h) f(a) h , where h 0. f(x) = 7 2x 6x2 f(a) = 6a22a 7 f(a h) = 6a2 2ah2a 6h22h 7 f(a h) f(a) h Given the point (5, 12), apply the rule and tell the image after the translation as an ordered pair with no spaces. (x,y) --> (x + 2, y - 7) On January 1, 2019, ABC Co. took out a four-year, $400,000 loan from the bank. The loan is payable in equal annual installments. How should this loan be reported on a classified balance sheet as at January 1, 2019? Select one: a. $300,000 current liability; $100,000 long-term liability b. $100,000 current liability; $300,000 long-term liability c. $400,000 current liability. d. $400,000 long-term liability what type of franchise would a car dealership typically belong to 12. How do we know if a confidence interval contains the truemean?a. It isn't possible to knowb. The alpha level indicates thisc. By checking the standard deviationd. By using hypothesis testing Everyone marveled at the With the which banana told the story. A.hesitation B.precision C. Falsehood D.transparent. What is the answer Evaluate the definite integral a) Find an anti-derivative le 2 b) Evaluate La = -dx -2x 1 e6 If needed, round part b to 4 decimal places. 2 x 1 e6-21 x dx e6-2z -dx 0/1 pt 398 Details +C n2(g) 3h2(g)2nh3(g) using the standard thermodynamic data in the tables linked above, calculate the equilibrium constant for this reaction at 298.15k. 4- How many months will it take to pay off a $705 debt, with monthly payments of $25 at the end of each month, if the interest rate is 15%, compounded monthly? 12Make sure that you are drawing the Cash Flow Diagrams as well as listing out the factors used, then the inputs to those factors. answ 35 months If an object has position s(t) = t4 +t + 3t with s in feet and / in minutes, a) Find the average velocity from t=0 to t=2 minutes. b) Find the velocity function v(t). c) Find the acceleration at time t = 3. A patient goes to her doctor complaining of a variety of symptoms including fatigue, nausea, and fluid retention leading to swelling in her legs and feet. Though she has been drinking plenty of fluids, her urine output is less than normal. The doctor runs blood tests which reveal a build-up of metabolic waste products in her blood. A. What organ is likely malfunctioning leading to these symptoms? ________B. What system is this organ part of? __________C. What is the function of this system____________ PLEASE ANSWER THE QUESTION ASAP.2. Sketch the graph of the function: (plot at least 4 points on the graph) [-5x +2 x Find and classify the critical and inflection points of y = 2x3 +9x2 + 1, and sketch the graph. Gilden Company identifies the following items for possible inclusion when taking a physical inventory at the end of the period. Indicate whether each item should be included or excluded in the inventory count. (a) Goods shipped on consignment by Gilden to another company. (b) Goods sold but held for customer pickup. (c) Goods purchased FOB destination have been received. (d) If in c) the appropriate company paid the freight costs, would the freight costs be included or excluded in the cost of inventory for Gilden Co.? (e) Goods in transit from a supplier shipped FOB destination but not yet received. (f) Goods sold to a customer FOB shipping point which were shipped but not yet received by the customer. Ex 2 In its first month of operations, Walden Company made three purchases of identical merchandise in the following sequence: (1) 200 units at $6, (2) 500 units at $8, (3) 300 at $9. If the company uses the periodic inventory system and there are 390 units on hand at the end of the period, what is the amount of the ending inventory and the resulting cost of merchandise sold under the FIFO system? the LIFO system? the Weighted-Average system? Periodic System Ending Inv. CMS FIFO LIFO Weighted Average Ex 3 The management of Clements Co. is considering the effects of various inventory-costing methods on its financial statements and its tax expense. Assuming that the price the company pays for Inventory is increasing, which method will: (a) provide the highest net income? (b) provide the highest ending inventory? (c) result in the lowest income tax expense? (d) result in the most stable earnings over a number of years? (e) be used for the financial statements if LIFO is used on the tax return? Ex 4 Ally Appliance Center accumulates the following cost and market data for their Ending Inventories as of the last day of the period. Inventory Categories COST MARKET Cameras $12,000 $12,100 Camcorders 9,700 9,500 Computers 14,000 12,800 Compute the lower-of-cost-or-market (LCM) valuation for the company's Total Inventory. Describe your biblical and theological rationale for whydiversity and inclusion truly matter in how we live asChristians.