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3 years ago

Choose the correct simplification of the expression (a^4/b^2)^3

1 answer:

4 0

The answer is B: a^12/b^6

Proof:

Simplify the following:
(a^4/b^2)^3

Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)

3×4 = 12:
a^12/(b^2)^3

Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6

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HELP ME PLEASE I SUCK AT MATH I need work shown on this and I only need 3of Them Done Or Two So I Can Do the last one or soo I T

sineoko [7]

Simple 200 is the answer

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3 years ago

Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter

zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

$V(t)=5200(1.014)^{3t}$

The general formula for compound interest is given by

$V(t)=P(1+\frac{r}{n})^{nt}$

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

$\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}$

Therefore, the final amount is approximately $16,543.5

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1 year ago

Which is longer 2 meters or 200 cent a meters or 2.05 meters

Yuri [45]

Solving this requires use of conversions

we already know that
2.05 m > 2 m

all that's left is the question
200 cm vs. 2.05 meters

I we know our equivalencies, we know that
100 cm = 1 m

if this is so then
200 cm = 2 m

we already know that
2.05 m > 2 m

so it must also be that
2.05 m > 200 cm

$2.05 \: meters$

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3 years ago

A dinner plate has a circumference of 106.76 cm. What is the area of the dinner plate? Use = 3.14.

Sphinxa [80]

C=2pr, r=c/(2p)

a=pr^2, using r found above we get:

a=p(c^2/(4p^2))

a=(c^2)/(4p), since c=106.76 and we approximate pi as 3.14

a=(106.76^2)/(4*3.14)

a=11612.2176/12.56 cm^2

a≈924.54 cm^2 (to nearest one-hundredth of a square cm)

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2 years ago

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Kipish [7]

Option 2 

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2 years ago

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