All categories

3 years ago

Find the surface area of a sphere with a diameter of 14 cm. Leave your answer in terms of pi.

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer:

196 pi

Step-by-step explanation:

Equation for Surface Area = 4 pi r^2

r = 14/2 = 7

4(7^2)pi

(4)(49)pi

196pi

You might be interested in

Which vector matrix represents the reflection of the vector <-1,5> across the line x = y

Arturiano [62]

Answer:

$V = \left[\begin{array}{ccc}5&-1\end{array}\right]$

Step-by-step explanation:

We want to reflect this 2x1 vector on the line y = x.

To make this reflection we must use the following matrix:

$R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]$

Where R is known as the reflection matrix on the line x = y

Now perform the product of the vector <-1,5> x R.

$\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]$

The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:

$V = \left[\begin{array}{ccc}5&-1\end{array}\right]$

6 0

3 years ago

Madeline drew a grid of 5 cells in a row.

masha68 [24]

Answer:d

Step-by-step explanation:

7 0

3 years ago

-1(t+8)=-7.1 solve for t

Darina [25.2K]

Answer:

t = -0.9

Step-by-step explanation:

-1(t+8) = -7.1

(t+8) = 7.1

t = -0.9

7 0

3 years ago

Read 2 more answers

Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients

pickupchik [31]

Answer:

The answer is "789.03 and 806.16".

Step-by-step explanation:

$y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)$

For point a:

Calculating the value for $y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0$

$y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)$

$= -0.45 + 801.36 -11.88 + 0\\\\= 789.03$

For point b:

Calculating the value of $y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1$

$y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)$

$= -0.45 + 801.36 -0 + 5.25\\\\= 806.16$

3 0

3 years ago

A clothes inspector examines 75 randomly chosen garments a day. If 10 of them have a defect, about how many garments are defecti

Nookie1986 [14]

950 garments would be defective

8 0

3 years ago