All categories

2 years ago

The surface area of this cylinder to the nearest integer is

Mathematics

1 answer:

Nutka1998 [239]2 years ago

6 0

Answer:

Option C. $132\ in^{2}$

Step-by-step explanation:

we know that

The surface area of cylinder is equal to

$SA=2\pi r^{2} +\pi Dh$

we have

$D=6\ in$

$r=6/2=3\ in$

$h=4\ in$

substitute

$SA=2\pi (3^{2}) +\pi (6*4)=42\pi\ in^{2}=132\ in^{2}$

You might be interested in

Sam runs for 10 minutes The graph shows his puse, in beats per minute. 100- (beats per min) 80- 1 2 3 5 6 7 8 9 10 Time (min) By

Inessa05 [86]

The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute

<h3>How to determine the beat rate after 3 minutes?</h3>

The given graph shows the curve and the tangent.

From tangent line, we have the following points:

(x,y) = (3,119) and (1,100)

The beat rate (m) at this point is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{100 - 119}{1 - 3}$

Evaluate the differences

$m = \frac{-19}{-2}$

Evaluate the quotient

m = 9.5

Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute

Read more about rates of tangent lines at:

brainly.com/question/6617153

#SPJ1

5 0

2 years ago

I need help pls pls pls pls

svetoff [14.1K]

Answer:

1. -18x+6

multiply everything inside with the number outside the bracket

2. -18x-6

same as number one

3. 18x-12

same as number one

4. -18x-6

same as number one

for 5 I can't see it well but it should be similar

you just need to substitute what's outside the bracket to what Is inside the bracket

6 0

2 years ago

Read 2 more answers

In the formula I=PRT, what is the value of T?

OverLord2011 [107]

The answers would be letter b

6 0

2 years ago

A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running

Alborosie

Answer:

$x_1 =2 , x_2=7$

Step-by-step explanation:

Consider the revenue function given by $R(x_1,x_2) = -5x_1^2-8x_2^2 -2x_1x_2+34x_1+116x_2$ . We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).

$\frac{dR}{dx_1} = -10x_1-2x_2+34 =0$

$\frac{dR}{dx_2} = -16x_2-2x_1+116 =0$

From the first equation, we get, $x_2 = \frac{-10x_1+34}{2}$ .If we replace that in the second equation, we get

$-16\frac{-10x_1+34}{2} -2x_1+116=0= 80x_1-2x_1+116-272= 78x_1-156$

From where we get that $x_1 = \frac{156}{78}=2$ . If we replace that in the first equation, we get

$x_2 = \frac{-10\cdot 2 +34}{2}=\frac{14}{2} = 7$

So, the critical point is $(x_1,x_2) = (2,7)$ . We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives and check if the criteria is fulfilled in order for it to be a maximum. We get that

$\frac{d^2R}{dx_1dx_2}= -2 = \frac{d^2R}{dx_2dx_1}$

$\frac{d^2R}{dx_{1}^2}=-10, \frac{d^2R}{dx_{2}^2}=-16$

We have the following matrix,

$\left[\begin{matrix} -10 & -2 \\ -2 & -16\end{matrix}\right]$ .

Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is $(-10)\cdot (-16) - (-2)(-2) = 156>0$ and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum

8 0

3 years ago

Read 2 more answers

I can’t tell if 3 is a dilation or not!

S_A_V [24]

Answer:

No, its not

Step-by-step explanation:

The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.

3 0

2 years ago