Answer:
The equation is 6(x + 10) = 60, and the answer to the equation is 0
Step-by-step explanation:
Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].
Differentiate y = sin^2x - cos^2x
Using the power and chain rules, the derivative of
y = sin²(x) - cos²(x)
is
dy/dx = 2 sin(x) cos(x) - 2 cos(x) (-sin(x))
dy/dx = 2 sin(x) cos(x) + 2 sin(x) cos(x)
dy/dx = 4 sin(x) cos(x)
and using the double angle identity for sine, this is equivalent to
dy/dx = 2 sin(2x)
Alternatively, we can first simplify y using the double angle identity for cosine:
cos(2x)= cos²(x) - sin²(x)
so that
y = -cos(2x)
and the derivative is
dy/dx = sin(2x) • 2
dy/dx = 2 sin(2x)
PLS HELP
The expression 46(1 + x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Match each description to the correct part of the expression.
Question 3 options:
The original price of the meal before tip was added.
The tip percentage written as a decimal.
1.
(1 + x)
2.
x
3.
46
What is the slope? X 0,1,2,3 y -5,-1,3,7
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]
[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]
whats -2 - 19t if t=-1
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.
Answer:
The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.
Assume that the demand curve D(p) given below is the market demand for widgets:
Q=D(p)=1204−11p, p > 0
Let the market supply of widgets be given by:
Q=S(p)=−3+6p, p > 0
where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.
What is the equilibrium price?
Please round your answer to the nearest hundredth.
What is the equilibrium quantity?
Please round your answer to the nearest integer.
What is the consumer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer
What is the producer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer.
What is the unmet demand at equilibrium?
Please round your answer to the nearest integer.
Answer:
Step-by-step explanation:
I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:
Demand: y=1204−11x
Supply: y = -3 + 6x
==
We want to know the equilibrium price and quantity. The quantities purchased and sold would be equal to the quantities supplied:
1204−11x = -3 + 6x
-17x = - 1207
x = 71 The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium
A price of 71 would lead to a demand and supply of:
y = 1204−11x
y = 1204−11(71)
y = 423 Widgets
We can also plot this to find the point (71,423). See the attachment.
At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium. This is what I did, so please judge if it is correct.
The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0 (I imagine it may no longer be a straight line when the price goes into negative territory. I'd be the first in line to accept a widget and $5 if they were priced at -$5).
At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.
It seems to me that this would also be the unmet demand: Product that could have been sold, but wasn't, due to the price. I'm unsure, however.
How much would you make for the YEAR at $25.02 per hour,
worked 51 hours and do get paid overtime? Round to the nearest
cent.
Answer:
1276.02
Step-by-step explanation:
25.02*51=(25*51)+(.02*51)=1275+1.02=1276.02
Simplify the square root of 5 times the cube root of 5.
I know the answer is, five to the five sixths power but I would like to know the steps to solve it.
Please help me with it, I'm not doing so well right now, and I need help.
Answer:
Step-by-step explanation:
need help with math probelm
[tex]28+24=4(7)+4(6)=4(7+6)[=4(13)=52][/tex]
The answer: 4(7+6)
ok done. Thank to me :>
Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)
Answer: y-(-2)=-2/3(x-5)
Step-by-step explanation:y-y1=m(x-x1)
Plug-in
write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)
HELP ME PLEASEEEE I WILL GIVE BRAINLIEST
Answer: DE, EW WD
Step-by-step explanation:
It looks shortest to longest...i think its the best answer. good luck :>
Classify the following polynomial by its degree value. -x + x26 - 104
[tex] \: \: \: \: \: \: [/tex]
[tex] = 25x - 104[/tex]
Step-by-step explanation:
[tex] - x + x26 - 104[/tex]
use the commutative property to reorder the terms[tex] - x + 26x - 104[/tex]
collect like terms[tex] = 25x - 104[/tex]
hope it helpsA paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall. Show work. Complete sentences.
V = LWH The volume of a rectangular prism / cube is equal to the length times the width times the height.
a. What is the volume of the box?
b. Each notepad is in the shape of a cube with an edge length of 3 inches. What is the volume of each notepad?
c. What is the maximum number of notepads that will fit in 1 closed box
i will give brainliest :)
Answer:
a. 810
b. 27
c. 30
Step-by-step explanation:
Part a.
The volume is 9 * 9 * 10.
9 * 9 = 81, and 81 * 10 = 810.
Part b.
The volume of a cube is x^3, where x is the side length of the cube.
If x = 3, then 3^3 = 27.
Part c.
If each notebook has a volume of 27, then the maximum amount of notebooks that will fit in a box with volume 810 is 810/27 = 30 notebooks
a. The volume of the rectangular box is 810 inch³.
b. The volume of the notepad is 243 inch³.
c. The maximum number of notepads that will fit inside the box is 3.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall.
Therefore, The volume of the box is, = (9×9×10) inch³.
= 810 inch³.
The dimensions of the notepad are 9 inches by 9 inches with an height of 3 inches.
Therefore, The volume of the notepad is = (9×9×3) = 243³ inches.
The maximum number of notepads that will fit inside thebox is,
= (810/243).
= 3.33 but it sholud only be 3 notepads.
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Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 5 mm and 12 mm. Find the perimeter of the piece of jewelry.
Answer:
30 mm.
Step-by-step explanation:
The longest side = sqrt(5^2 + 12^2)
= sqrt169
= 13. (Using Pythagoras).
So the perimeter = 5+12+13
= 30 mm.
Perimeter of the piece of jewelry = 30mm
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".
Given,
Shape of jewelry is right angle triangle ABC
length of shorter sides,
AB = 5mm
BC = 12mm
By Pythagoras theorem,
AC² = AB²+BC²
AC = √(5² + 12²)
AC = √169
AC = 13 mm
Perimeter of Triangle = AB + BC + AC
= 5 + 12 + 13
Perimeter of Triangle = 30
Hence, 30 mm is the perimeter of jewelry.
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Add. 34.700 + 98.428 98.775 132.435 132.980 133.128
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
DIRECTION: Solve each proportion.
1. 6/15 = n/25
2. 3/5 = 21/n
3. n/12 = 15/30
4.3/n = 12/24n
5. 6/12 = n/72
plss help me :(
Answer:
1. n=10
2. n=35
3. n=6
4. n=0 ? not sure for this one. two variables in the proportion
5. n=36
Step-by-step explanation:
set each set of proportion equal to each other and do cross multiplication
hope this helps !
how are you ?
Answer:
10356636Step-by-step explanation:
Please take a look of the attached photo for the solution.
X^3+3x^2-19/x-2
Find the quotient and remainder using synthetic division:
The quotient is
The remainder is
Submit Question
Step-by-step explanation:
x³ + 3x² - 19 ÷ x - 2 = x² + 5x + 10 rem 1
x³ - 2x²
5x² - 19
5x² - 10x
10x - 19
10x - 20
1
The quotient is ⇒ x² + 5x + 10 The remainder is ⇒ 1Answer:
quickly:
x-2=0 x^3+3x^2-19
x=0+2 = 2^3+3(2)^2-19
x=2 = 8+6^2-19
=8+36-19
=42-19
=23
The remainder is 23
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
Paula's Pies is famous
for their apple pie. At
Thanksgiving, they receive
orders for 296 pies. If
Paula can prepare 8 pies
in 3 hours, then how many
hours will it take her
prepare the order?
(PLEASE MAKE THE WORK A RATIO TABLE!)
Sets of 8pies
296/8=37No if time for 8pies=3h
No of time for 37 sets of 8pies:-
3(37)=111hUse the numbers from the item bank down below to write the value of each expression
1. Value=206
2. Value=205
3. Value= 208
4. Value=207
what are the subsets of set B =(a. b. c. d)?
Answer:
{},{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}
Step-by-step explanation:
10 minus one third of a number is 4
Answer:
x = 18
Step-by-step explanation:
10 - x/3 = 4
=> - x/3 = -6
=> -x = -18
=> x = 18
Hoped this helped.
Answer: 18
Step-by-step explanation:
10 -1/3y = 4
1/3y = 10 - 4
1/3y = 6
y = 6 x 3 = 18
What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)? 3
Answer:
-5/3
Step-by-step explanation:
lmk if you want an explanation
What is the value of x? Enter your answer in the
box.
Answer:
70⁰ + 30⁰ + x = 180 ( angle sum property (
100⁰ + x = 180
x = 80⁰
What location on the line would you find the constant of proportionality?
Answer:
2.4
Step-by-step explanation:
The constant of proportionality is y=kx which should 2.4
PLSS Someone plss help plss helppp plllsss Will mark brainliest!!!
Answer:
( 6 , 8 )
Step-by-step explanation:
y = kx
k = [tex]\frac{y}{x}[/tex]
( 3 , 4 )
k = [tex]\frac{4}{3}[/tex]
[tex]\frac{4}{3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{12}{9}[/tex] = ....
( 6 , 8 )
A principle at a certain high school claims that the students in her school are above average in SAT. She collects a random sample of 50 students and given an SAT test that provided with a mean score of 541. Is there sufficient evidence statistically to support the principal’s claim? The mean population SAT score is 500 with a standard deviation of 100. SAT scores are normally distributed. Please show all the steps involved in a hypothesis testing including proper statistical symbols, formula used, and report/interpret results in complete sentences.
Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:
[tex]H_0: \mu \leq 500[/tex]
At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:
[tex]H_1: \mu > 500[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]
[tex]z = 2.9[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].
Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
A similar problem is given at https://brainly.com/question/25728144
15/4= simplify it please
Answer:
[tex]The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .[/tex]
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction [tex]3 \frac{3}{4} [/tex]
The fraction [tex] \frac{15}{4} [/tex]
is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
The fraction 15/4 is equivalent to 3 3/4.
Here, we have,
To simplify the fraction 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.
The GCD of 15 and 4 is 1 since there are no common factors other than 1.
Dividing both the numerator and denominator by 1, we get:
(15 ÷ 1) / (4 ÷ 1) = 15/4
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).
So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction 3 3/4.
The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
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What happens to the median of the data set below if the number 10 is added?
{2, 4, 8, 2, 7, 6, 18, 20, 24}
Answer:
The median goes up 0.5
Step-by-step explanation:
Before the number 10.
Mean x¯¯¯ 10.111111111111
Median x˜ 7
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 9
Sum 91
Quartiles Quartiles:
Q1 --> 3
Q2 --> 7
Q3 --> 19
Interquartile
Range IQR 16
Outliers none
After 10 is added.
Mean x¯¯¯ 10.1
Median x˜ 7.5
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 10
Sum 101
Quartiles Quartiles:
Q1 --> 4
Q2 --> 7.5
Q3 --> 18
Interquartile
Range IQR 14
Outliers none
It goes up .5.