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stira [4]
3 years ago
5

The volume of a cube can be found using the formula V=s^3, where s represents the length of each side of a cube. Find the volume

of a cube if each side is 4a^2b^4.
Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

Step-by-step explanation:

V=s³ =(4a²b^{4})³

use the power rule to distribute the power to all inside the pharentahesis

V=4³a^{2*3}b^{4*3}=64a^{6}b^{12}

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A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage in
klemol [59]

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

6 0
2 years ago
In the smoky mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by P = 10.0 ln
Mars2501 [29]

Answer:

  A. About 4,900 ft

Step-by-step explanation:

We want h such that ...

  5 = 10·ln(h) -80

  8.5 = ln(h) . . . . . . . add 80, divide by 10

  e^8.5 = h ≈ 4914.8 . . . . take the antilog

  h ≈ 4900 . . . . feet

7 0
3 years ago
A Chemist needs to mix a 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters
Nuetrik [128]

8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)

<u>Step-by-step explanation:</u>

Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,

                         20% in x + 50% in (15 – x) = 15 litres of 34%

Convert percentage values, we get

                              0.20(x) + 0.50 (15 – x) = 15 (0.34)

                              0.20 x + 7.5 – 0.50 x = 5.1

                              -0.3 x + 7.5 = 5.1

                              0.3 x = 7.5 – 5.1

                              0.3 x = 2.4

x = \frac{2.4}{0.3} = 8 litres (amount of 20 \% solution needed)

Apply ‘x = 8’ value in (15 – x) we get,

                         15 – 8 = 7 litres

The value of 7 litres for (amount of 50% solution needed)

8 0
3 years ago
What is the formula of 2AB=2AB
MAVERICK [17]

The only other possible meaning I can see is that a2 + b2 means a^2 + b^2. In the case that is a formula that cannot be simplified further, although it could be written as (a + b)^2 - 2ab or (a - b)^2 + 2ab. ... Originally Answered: What is the formula of a2+b2?

6 0
3 years ago
$1000 is invested at 2.9% annual interest for 6 months.<br> a. Simple Interest b. Compound Interest
kirza4 [7]

Answer:

a. Simple interest = $174

b. Compund interest = $1187.1

Step-by-step explanation:

Given the following data;

Principal, P = $1000

Interest, R = 2.9%

Time, T = 6 months

a. To find the simple interest;

S.I = (PRT)/100

S.I = (1000*2.9*6)/100

S.I = 17400/100

S.I = $174

b. To find the compound interest;

A = P(1 + \frac{r}{100})^{t}

Substituting into the formula, we have;

A = 1000(1 + \frac{2.9}{100})^{6}

A = 1000(1 + 0.029)^{6}

A = 1000(1.029)^{6}

A = 1000(1.1871)

A = $1187.1

8 0
3 years ago
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