Use the function below to find f(4). F(x) = 3x

|8m| = 104 absolute value

DENIUS [597]

Answer:

m=13

Step-by-step explanation:

Ok

l8ml=104

8m=104

⁻⁻⁻ ⁻⁻⁻

8 8

m=13

6 0

4 years ago

A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0

4 years ago

Please help!! Geometry, will mark brainliest!

melisa1 [442]

Answer:

n = 36

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , that is

AB = DC , substitute values

$\frac{2}{3}$ n - 5 = $\frac{1}{3}$ n + 7 ( multiply through by 3 to clear the fractions )

2n - 15 = n + 21 ( subtract n from both sides )

n - 15 = 21 ( add 15 to both sides )

n = 36

8 0

4 years ago

Read 2 more answers

Using complete sentences, explain the key features of the graph of the sine function.

iVinArrow [24]

Check the picture below.

8 0

3 years ago

Cement was poured to make two rectangular prism the prism were stacked as shown 4 feet 3 feet 4 feet 3 feet 2 feet what are leng

Mars2501 [29]

Answer:

V_t = 72 ft^3

Step-by-step explanation:

Solution:-

- The complete question is given in the attachment.

a)

- The length of the smaller rectangular prism ( l ) is the side that runs along horizontal to the page and marked by l = 4 feet.

- The width of the smaller rectangular prism ( w ) is the side that protrudes out of the page, and also share the same dimension as the larger rectangular prism and marked by w = 2 feet.

- The height of the smaller rectangular prism ( h ) is the side that runs vertical to the page and marked by h = 3 feet.

- So the dimensions of the smaller rectangular prism are:

( l , w , h ) = ( 4 , 2 , 3 ) feet

- Similarly, for the larger rectangular prism:

- The length of the larger rectangular prism ( L ) is the side that runs along horizontal to the page and the sum of smaller and upper exposed face length, totaling to L = ( 4 + 4 ) = 8 feet.

- The width of the larger rectangular prism ( W ) is the side that protrudes out of the page, and also share the same dimension as the larger rectangular prism and marked by W = 2 feet.

- The height of the larger rectangular prism ( h ) is the side that runs vertical to the page and marked by H = 3 feet.

- So the dimensions of the larger rectangular prism are:

( L , W , H ) = ( 8 , 2 , 3 ) feet

b)

- The total amount of cement in cubic feet required to make two rectangular prism with dimensions evaluated above is the sum of smaller and larger rectangular prism volumes.

- The volume of a rectangular prism is given by:

V-prism = Length*width*height

- So the total volume V_t would be:

V_t = V_small + V _large

V_t = ( l*w*h ) + ( L*W*H )

V_t = ( 4*2*3 ) + ( 8*2*3 )

V_t = ( 24 ) + ( 48 )

V_t = 72 ft^3

4 0

3 years ago