All categories

3 years ago

Last question and then I’ll take care of the rest on my own ^^^^

Mathematics

1 answer:

Bond [772]3 years ago

6 0

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

Using these rules, we can simplify the expression as follows:

(5^-3)(2^2)(5^6)/((2^3)(5^2)) = (5^(-3+6-2))(2^(2-3)) = (5^1)(2^-1)

= 5/2

You might be interested in

The lateral surface area of cone A is equal to the lateral surface area of cylinder B.

Inessa05 [86]

Answer:

True.

Step-by-step explanation:

Lateral Surface area of cone=πrl=πr×2h=2πrh

Lateral surface area of cylinder=2πrh

4 0

2 years ago

A rocket is launched from a tower. The height of the rocket, y in feet is related to the time after launch, x in seconds, by the

gizmo_the_mogwai [7]

Step-by-step explanation:

The height of the rocket y in feet is related to the time after launch, x in seconds, by the given equation i.e.

$y=-16x^2+165x+78$ ......(1)

It is required to find the maximum height reached by the rocket. For maximum height put $\dfrac{dy}{dx}=0$ .

So,

$\dfrac{d(-16x^2+165x+78)}{dx}=0\\\\-32x+165=0\\\\32x=165\\\\x=5.15\ s$

Put x = 5.15 in equation (1).

$y=-16(5.15)^2+165(5.15)+78\\\\y=503.39\ m$

So, the maximum height reached by the rocket is 503.39 m.

5 0

4 years ago

6x + 1 = 3x -11<br> What is x? And how would I solve this?

sammy [17]

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

7 0

4 years ago

Read 2 more answers

Find the sum of these polynomials

Nuetrik [128]

Hi there! The answer is B.

$( {x}^{2} - x + 7) + (9 {x}^{2} + 6)$
First we work out the parenthesis, which is easy because we can just remove them.

${x}^{2} - x + 7 + 9 {x}^{2} + 6$
Now rearrange our expression (in order to collect terms later).

${x}^{2} + 9 {x}^{2} - x + 7 + 6$
Next up is collecting the terms.

$10 {x}^{2} - x + 13$
The answer is B.

~ Hope this helps you!

7 0

3 years ago

The farmer's market sells fruit baskets. Each basket contains 12 apples and 4 pears. Use a to represent the cost of each apple a

romanna [79]

Answer:

a) a x 12

b) p x 4

c) (a x 12) + (p x 4)

Step-by-step explanation:

These are the answers because:

1) Since a is representing the cost of each apple, we have to multiply the a with 12.

2) Since p is representing the cost of each pear, we have to multiply the p with 4.

3) Finally, for c, each basket contains 12 apples and 4 pears. Therefore, we just use our eautions from before and add them which will give you the total cost of one basket.

Hope this helps! :D

7 0

3 years ago