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3 years ago

Is 7 to the 8th power times 7 equivalent to 7 to the the third power times 7 to third power equivalent?

Mathematics

1 answer:

Akimi4 [234]3 years ago

8 0

Answer:

They are not equivalent.

Step-by-step explanation:

Before we solve the question, we need to know that from the laws of indices:

A^x x A^y = A^(x+y).

7 to the power of 8th power means 7^8

7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.

7 to the power of 3rd power means 7^3

7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.

Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.

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How to answer this question ?

drek231 [11]

The sides

12-3a

4(2a-5)=8a-40

so for perimeter we + them

(12-3a)+(12-3a)+(8a-40)

2a-16

6 0

2 years ago

F(x)=1256(1.24)^x Identify the initial value.

Mumz [18]

Answer:

1256

Step-by-step explanation:

Given the function F(x)=1256(1.24)^x, the initial value occurs at x = 0

Substitute x = 0 into the function;

F(0)=1256(1.24)^0

f(0) = 1256(1) (any value raise to sero is 1)

f(0) = 1256

hence the initial value is 1256

8 0

3 years ago

Find Angle C. Please I need this rn for homework

ira [324]

Answer: I believe the answer here would be 52.5 degrees.

Step-by-step explanation: Because an isosceles triangle has two equal sides, their base angles would be the same. The angles of a triangle add up to 180 degrees, so you would subtract 75 from 180 and divide 105 by two in order to find one of the base angles.

7 0

3 years ago

You received a $150 gift certificate to a clothing store. The store sells T-shirts for $17 and dress shirts for $26. You wan

rodikova [14]

Answer:

you could buy 8 t shirst

Step-by-step explanation:

6 0

3 years ago

Statements that are true for a cylinder with radius r and height h.

vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling r quadruples the volume.

Doubling h doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

$\displaystyle V=\pi r^2h$

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2r. Hence, our volume is:

$\displaystyle V=\pi (2r)^2h=4\pi r^2h$

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2h. Hence, our volume is:

$V=\pi r^2(2h)=2\pi r^2h$

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2r and doubling the height results in 2h. Hence, the new volume is:

$V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h$

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0

3 years ago