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aev [14]
2 years ago
10

Which of the following are mutually exclusive events?

Mathematics
1 answer:
Alexandra [31]2 years ago
6 0

Answer: A

Step-by-step explanation: Ape x

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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
Solve the inequality: 2(4+2x)≥5x+5
MA_775_DIABLO [31]

Answer:  solving for x would be x ≤ 3

Step-by-step explanation:

Hope this helps! have a good day!

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-3/4 x (-12)= I need help please this is hard
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Answer:

9

Step-by-step explanation:

Hope this helps and have a great day : )

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Can you answer mine its above with a red heart
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which statement is true of the function f(x) = -³√x ? check all that apply. a). the function is always increasing. b). the funct
attashe74 [19]

<u>Answers</u>

The function has a domain of all real numbers . True

<em>The cube root of real number is also real. The negative sign is outside he radical so it cannot result to an imaginary number.</em>

The function is a reflection of y =³√x . True

The function is always increasing. False

<em>When getting the cube root of a number the result is alway smaller. So the domain of the function should be decreasing not increasing.</em>

The function has a range of {y|– < y < } . False

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