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2 years ago

Which expression iS equivalent to (a^8)^4

Mathematics

2 answers:

mario62 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

What are the nasser choices

disa [49]2 years ago

7 0

Answer:

a^32.

Step-by-step explanation:

Using one of the laws indices:

(a^8)^4

= a^(8*4)

= a^32.

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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

Every month Miss Thomas pays her car loan through automatic payments from her savings account. she pays the same car loan each m

ivann1987 [24]

Im pretty sure the answer is 244.25

8 0

3 years ago

Given: AABC is a right triangle.

IgorLugansk [536]

Answer:

19.365

Step-by-step explanation:

The Pythagoreum Theorum tells us that:

a² + b² = c²

where a and b are the legs and c is the hypotenuse.

BC is a leg; we'll lable it a.

AC is the hypotenuse thus labled c.

Plugging their lengths into the above formula will solve for the missing leg length.

5² + x² = 20²

25 + x² = 400

x² = 375

✓x = ✓3 x (5 x 5) x 5

x = 5✓15

x = 19.365

5 0

2 years ago

How to find out L C M of common division method

stealth61 [152]

$\huge\bigstar\:$ $\Huge\tt\underline\blue{ANSWER}$

To find Least Common Multiple by using Division Method we need to follow the following steps.

Step 1: Write the given numbers in a horizontal line, separating them by commas.

Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.

<h3>HOPE IT HELPS YOU...</h3>

4 0

3 years ago

Read 2 more answers

[28-(-3)+6]×(-3) please show your work

m_a_m_a [10]

Answer:

-111

Explanation:

[31+6](-3)

[37](-3) = -111

5 0

3 years ago