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3 years ago

8

Please answer this question. FOLLOW ALL OF THE INSTRUCTIONS to get the right anser please. THANK YOU!

1 answer:

Alexus [3.1K]3 years ago

7 0

A) It says in fraction form. y=5/4x +15
b) it says it should be a decimal. If you extend the line, it will reach 15.5 hours.
c) I think your answer was correct

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Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap

gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=15ft^3/min$

We have to find the increasing rate of change of height of pile when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r= $\frac{d}{2}=\frac{h}{2}$

Volume of pile= $\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3$

$\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}$

h=12 ft

Substitute the values

$15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}$

$\frac{dh}{dt}=0.13ft/min$

7 0

3 years ago

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1

Serggg [28]

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

m = $\frac{-1-4}{2-(-3)}$ = $\frac{-5}{2+3}$ = $\frac{-5}{5}$ = - 1 → A

3 0

3 years ago

the length of a rectangle is 5 cm less than 3 time its width. if the perimeter of the rectangle is 54 cm, find the length and wi

castortr0y [4]

$length = 3x - 5 \\ width \: = x \\ p = 2l + 2w \\ 54 = 2(3x - 5) + 2x \\ 54 = 6x - 10 + 2x \\ 54 = 8x - 10 \\ 64 = 8x \\ x = 8 = width \\ 3(8) - 5 = 24 - 5 = 19 \\ length = 19$

6 0

3 years ago

Suppose you roll a number cube. What is the theoretical probability of rolling a 5?

HACTEHA [7]

Answer:

1/6

Step-by-step explanation:

There are 6 possible outcomes when you roll a die

1,2,3,4,5,6

P(5) = number of outcomes with a 5/ total outcomes

=1/6

3 0

3 years ago

Marcellus has a pitcher that contained 5/8 gallon limeade. Marcellus drank 1/4 gallon of the limeade, and Marcy drank 1/8 gallon

mash [69]

Answer:

2/5

Step-by-step explanation:

Given Marcellus drank 1/4 gallon of the limeade and Marcy drank 1/8 gallon of the limeade

Given that only 5/8 portion of the pitcher contains limeade

Total amount drunk = amount drunk by Marcellus + amount drunk by Marcy

Total amount drunk = $\frac{1}{4} +\frac{1}{8}$ = $\frac{3}{8}$

The amount of Limeade remained = The amount initially - the amount drunk

The amount remained = $\frac{5}{8} -\frac{3}{8}$ = $\frac{1}{4}$

Fractional part = amount remained / amount initially = $\frac{\frac{1}{4} }{\frac{5}{8} }$ = $\frac{2}{5}$

8 0

3 years ago