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nevsk [136]
3 years ago
13

I would appreciate it a lot

Mathematics
2 answers:
stich3 [128]3 years ago
5 0
The answer is C
I hope this helps you
Volgvan3 years ago
3 0

Answer:

C

Step-by-step explanation:

f(x) = Price

2.00 = Price of one ride

x = number of times ridden

f(x) = 2x

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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
2 years ago
I'd really appreciate your help, please no joke answers
Lerok [7]

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       \sqrt{3^{2} } + (-1)^{2}

d = | 20 | / \sqrt{10}

d = 20 / \sqrt{10}

d = 2\sqrt{10}

3 0
3 years ago
At a supermarket, every can of tomatoes weighs at least 15 ounces.
disa [49]

w ≥ 15 !!!!!!!!!!!!!

7 0
3 years ago
Read 2 more answers
Please help please help please help please help please help please help please help please help
german

Answer:

11x + y = 25

Step-by-step explanation:

Start with y = mx + b

Slope is -11, so m = -11

Point is (2, 3), so we plug that back in to get the intercept.

3 = -11 * 2 + b

3 = -22 + b

b = 25

y = -11x + 25

11x + y = 25 in standard form.

3 0
3 years ago
A baker is selling a ton of pies. She puts them in crates and boxes. There are 65 crates and 121 boxy. Each crate contains 43 ap
marta [7]

Let's first find the number of apple pies.

apple pies = 65 crates x 43 apple pies per crate = 2795 apples pies

If each apple pie cost $12 then...

money from apple pies = 2795 apple pies x $12 = $33540

total pies sold = 2795 apple pie + 121 boxes x 76 sweet potato pies = 11991 pies

4 0
2 years ago
Read 2 more answers
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