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3 years ago

Write and inequality or this statement ; To watch this movie you must be at least 17 years old ?

Mathematics

1 answer:

julia-pushkina [17]3 years ago

5 0

Answer:

x<u>></u>17

Step-by-step explanation:

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Diane deposits $7000 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in t

Mars2501 [29]

Answer:

1,260

Step-by-step explanation:

6x3=18 7000÷18=1,260

8 0

3 years ago

Read 2 more answers

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$

The minimum cost occurs at the point where the derivative equals zero.

$C^{'}=\frac{-27840+32\pi r^3}{3r^2}$

$When \:C^{'}=0$

$-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518$

Recall:

$h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet$

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0

3 years ago

PLEASE HELP ME BY ANSWERING AT LEAST 2 QUESTIONS MY WORK IS DUE IN LESS THAN AN HOUR!

levacccp [35]

nononononon nonononononno

Step-by-step explanation:

nonononononomonjknonkkom

8 0

3 years ago

5. Use the law of Cosines to find each missing sides. Round to the nearest tenth

stellarik [79]

The measure of angle x will be 88 degrees. Then the correct option is C.

The complete question is attached below.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

2ab cos θ = a² + b² – c²

The triangle is shown below.

Then the value of the variable x will be

2 · 7 · 10 · cos x = 7² + 10² – 12²

140 · cos x = 49 + 100 – 144

cos x = (149 – 144) / 140

x = 87.95 ≈ 88°

Then the correct option is C.

Learn more about law of cosines here:

brainly.com/question/17289163

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2 years ago

Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 Bowes of carrots and 71 boxes of potatoes how m

kirill115 [55]

75 minus 68 equal 7 80 minus 71 equal 9. 7 plus 9 equal 16 boxes

3 0

3 years ago