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3 years ago

The following is an example of 5x2

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

jek_recluse [69]3 years ago

4 0

Monomial. Fhjdjhfjjgfghjhfdfff

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet

vodka [1.7K]

Answer:

9 feet

Step-by-step explanation:

The height of the ball in feet is given by the polynomial:

$h(t) = -16t^2+50t+3$

where t is the time in seconds.

After 3 seconds, t = 3:

$h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet$

The height of the ball after 3 seconds is 9 feet.

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3 years ago

Boden's account has a principal of $800 and a simple interest rate of 3.2%. Complete the number line. How much money will be

Phantasy [73]

Answer:

its probably 10 i think that what it is.

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3 years ago

Find the equation of the linear function. In slope intercept form

PSYCHO15rus [73]

Good job oh my God you are so smart oh my God a good job bro

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2 years ago

If y = -2, what is the value of x? x+2/3 ; x =

Bas_tet [7]

Answer:

Step-by-step explanation:

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3 years ago

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