5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(c^b) = (ac)^b

  (a^b)(a^c) = a^(b+c)

__

1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal

2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal

3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)

  = 15^5 × 5^-2 < 15^15 . . . . less than

_____

Additional comment

Your calculator can evaluate these expressions so you can see their relationships.

Step-by-step explanation:

# easy learning

good luck and god Blees

Answer:Nooo please don’t put B. It’s A,C, and D

Step-by-step explanation:

Answer:<JGI

Explanation:

Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH

Hope this helps.

The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.

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Answer:

15,000 liters

Step-by-step explanation:

First, find the volume in meters. 5*3*1=15 meters

1 meter = 1000 liters

(x15)

15 meters = 15000 liters

Hope this helped :D

Answer:

no of girls - 300

no of boys - 450

no of girls - 6

no of boys - 9

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let boys be x and girls y

x = 2y-3

x - 2y = -3 ------(i)

x = 60/100(x+y)

10x = 6x + 6y

4x = 6y

2x = 3y

2x - 3y =0------(ii)

Subtract (ii) from (i)*2

no of girls - 6

no of boys - 9

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The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:

1, 2, 4, 8, and 16

We notice that 8 can be factored out of 16 and becomes:

16 / 8 = 2

If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:

3 x 3 = 9

5 x 3 = 15

So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

Answer:

[tex]5\frac{1}{4}[/tex]

Step-by-step explanation:

Catherine walks her dog 3/4 a mile everyday.

We want to find how far she walks each week.

There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5  1/4 mile a week.

Answer:

B) SAS

Step-by-step explanation:

Explanation:

SAS = side angle side

The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".

The marked angles are congruent, and they refer to the "A" in "SAS".

Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".

Notice how the angles are between the sides mentioned. The order is important.

Answer:

(-3,6)

Step-by-step explanation:

There's a formula for this, but it's just reflecting it across the y-axis.

Hope this helped! :)

Answer:

d > -39

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

I think its 21 But if its times then its 240

Step-by-step explanation:

Hope this helped

Answer:

120

Step-by-step explanation:

formula for volume is area×height

so

v=1 /2b×h×l

v=1/2×5×4×12

v=2.5×4×12

v=10×12

[tex]v= {120cm}^{3} [/tex]

Answer:

y=1x-6

Step-by-step explanation:

y=mx+c

c = -6

m = 1

therefore

y= mx+c

y = 1x-6

Answer:

y = 5 + 7x

Step-by-step explanation:

So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.

So the total cost Y equal the constant 5 and 7x

Y = 5 + 7x

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

y=18-2x

y=-2x+18

Answer:

Slope = -2

Step-by-step explanation:

Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.

the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be

m=-2/1 rise/run

Answer:

-2

Step-by-step explanation:

f(x)≈ -0.86x+13.5

  putting x=18 in f(x), we get

    f(x)≈ -0.86×18+13.5

 ⇒      f(x)≈ -15.48+13.5

 ⇒      f(x)≈ -1.98

 ⇒      f(x)≈ -2

Answer:B

Step-by-step explanation:

The answer is B also known as -2

==================================================

Explanation:

Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.

For any quadrilateral, the four angles always add to 360 degrees.

L+M+O+P = 360

L+90+165+90 = 360

L+345 = 360

L = 360-345

L = 15

Another route you can use is the fact that opposite angles L and O are supplementary

L+O = 180

L+165 = 180

L = 180-165

L = 15

[tex]\text{Given that,}~3x-y = 12\\\\\\\dfrac{8^x}{2^y} =\dfrac{(2^3)^x}{2^y } = \dfrac{2^{3x}}{2^y} = 2^{3x-y} = 2^{12}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve ~

now, evaluate the value of given expression ~

Now, plug the value of 3x from the previous equation ~

Therefore , the required expression is ~ 2¹²

The design of the experiment was done to quantify induced variability.

Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.

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The reason why the given graph relation is considered to be a function is because;

A. Yes, because every x-value corresponds with a single y-value.

From the given graph, we see the (x, y) coordinates as;

(5, 4)

(7, 2)

(6, 9)

(3, 10)

Now, we see that none of the x-values are the same and likewise none of the y-values are the same.

This means that each of the x-values have a unique y-value.

Thus, it can be said to be a function

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wait im wrong i didnt even read that correctly

Answer:

Sry but I don't understand what you wrote

Step-by-step explanation:

x = 9

Scale size is 3 so multiply all terms in ABC by 3.

Answer:

Kim is younger than 6 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

f(x)= .5x + 2

Step-by-step explanation:

Now this is not to complicated

first the constant is 2

after each day she gains .5 miles

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Let the distance travelled by Susie in any week,x be represented by y.

Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,

Initial distance =  y-intercept = c = 2

Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,

Slope, m = Change in the distance = 0.5

Now, if the equation represents the nth term of the sequence, then we can write,

y = mx + c

y = 0.5x + 2

Hence, the equation to represent the nth term of the sequence is y=0.5x+2.

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Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

Answer:

y = 2

Step-by-step explanation: