Calculate the volume of this cylinder, giving your answer to 1 decimal place.<br>9 cm<br>20 cm

Line parallel to y-1=4(x+3) and passes through (4,32)

Lady_Fox [76]

Answer:

y - 32 = 4(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 1 = 4(x + 3) ← is in point- slope form

with slope m = 4

Parallel lines have equal slopes.

Using m = 4 and (a, b) = (4, 32), then

y - 32 = 4(x - 4) ← equation of parallel line

6 0

2 years ago

Heights of men on a baseball team have a? bell-shaped distribution with a mean of 177 cm177 cm and a standard deviation of 8 cm8

Assoli18 [71]

I don't think there is a way to answer your question.

8 0

3 years ago

Which is bigger: 17.5% or 1/6

elena-s [515]

In order to find this out, let's convert both of them into percents. Since 17.5 is already a percent, we only have to convert 1/6 into a percent. To convert 1/6 into a percent, you have to divide the numerator by the denominator. If you do that, you will get 0.1666..... as a repeating decimal. Now, multiply the decimal by 100 or just move the decimal 2 spaces to the right to get the percent. If you do that, you will get 16.6%. Since it is a repeating decimal, you can round it to 16.7%. So, 17.5% is larger than 1/6.

Hope it helps :)

6 0

2 years ago

Read 2 more answers

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

How to find the mean of 2, 7, 6, 1, 9, 2, 4, 9

Lady_Fox [76]

Answer:

5

Step-by-step explanation:

Add the numbers together, then divide that by the amount of numbers

(2 + 7 + 6 + 1 + 9 + 2 + 4 + 9)/8

40/8 = 5

6 0

2 years ago

Calculate the volume of this cylinder, giving your answer to 1 decimal place.9 cm20 cm​

Calculate the volume of this cylinder, giving your answer to 1 decimal place.9 cm20 cm