All categories

3 years ago

Find the product. (a^3b)^2 • 4ab3

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3

You might be interested in

Calculate the surface area of the aquarium, without the top.<br>24 cm<br>80 cm<br>16 cm

larisa86 [58]

Well you never sent a picture but the most logical answer is 80 cm

3 0

2 years ago

How who I complete the table?

Natalka [10]

Answer:

Step-by-step explanation:

you have to remove // to calculate

5 0

3 years ago

Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who travel

r-ruslan [8.4K]

Answer:

Austin and Devyn.

Step-by-step explanation:

1/3 and 2/6 are equal fractions.

7 0

2 years ago

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

What number is midway between 2/5 and 1?

jeka57 [31]

4/10 and 10/10:

7/10.

5 0

3 years ago

Read 2 more answers