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2 years ago

Math multiple choice

Mathematics

1 answer:

eduard2 years ago

7 0

Answer:

D: It did not rain exactly 6.0 inches during a single month in either city

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A jar contains 5 black and 9 white marbles priscilla draws a marble from the jar what is the probability that she drew a black m

Vanyuwa [196]

The probability of the black marble will be 35.7% because 100/(9+5) is 7.14 and you multiply that by 5 to get 35.7%.

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3 years ago

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What is the slope of the line passing through the points (2,7) and (-1,3)?

e-lub [12.9K]

The slope of the line is 4/3

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3 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

Melissa walked at a rate of 88 feet per minute. What was her approximate speed to the nearest tenth of a mile

Illusion [34]

88x60=5280

I believe it's 1 mile.

7 0

3 years ago

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a group of five people can do a piece of work in 6 hours calculate the time a group of 8 people will take to complete the same w

frosja888 [35]

Answer:

3.75 hours

Step-by-step explanation:

Total time needed

5 * 6 = 30 hours

with 8 people

30/8 = 3.75 hours

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3 years ago

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