What is an expression that equals 24 that includes an exponent

PLEASE EXPLAIN...WILL MARK BRAINLIEST FOR BEST ANSWER

Ira Lisetskai [31]

Answer:

a(x) = 20 + 0.60x
domain [0, 50]; range [20, 50]
maybe

Step-by-step explanation:

a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...

0.40 × (50 -x)

The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...

1.00 × (x)

Then after the remove/replace operation, the total amount of acid in the container is ...

a(x) = 0.40(50 -x) +1.00(x)

a(x) = 20 +0.60x . . . . . liters of acid in the final mixture

__

b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)

The associated range is 20 ≤ a ≤ 50. (liters)

__

c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.

5 0

2 years ago

How do I solve (21/12)/(7/12) ?<br>Is the answer 3?

alukav5142 [94]

It is! When you're doing a fraction specifically like that, the denominators cancel out. Therefore you can get rid of the 12. It just becomes 21/7, which as you know is 3.

Hope that helps :)

5 0

2 years ago

Bouncing Baby Company sells their cribs for the following amounts to stores

xz_007 [3.2K]

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

= $10560

False

Option F

For N = 250

P = 132(250)

= $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

4 0

2 years ago

Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by

ivanzaharov [21]

Step-by-step explanation:

$T=2\pi\sqrt{\frac{l}{g}}$

$T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))$