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igor_vitrenko [27]
3 years ago
15

A construction company is moving large rocks. It takes 3/4 hour to move 12 rocks. The construction company has already moved 60

of the 144 rocks that need to be moved. How long, in hours, will it take the construction company to move the remaining rocks? *

Mathematics
1 answer:
Luden [163]3 years ago
3 0
First divide the rocks per 3/4 of an hour by 3 and multiply by 4 to get the production per hour. then subtract the already moved rocks from the total job and divide the answer by 16 (the rocks moved per hour) getting the time needed to move the rest

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For the parent function y=√x what effect does a value of k = -3 have on the graph?
luda_lava [24]

Answer:

Vertical shift of 3 units down ⇒ last answer

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Lets solve the problem

∵ The parent function y = √x

∵ There is a translation by k = -3

- From the rules above k is for the vertical translation

∵ k = -3

- That means the parent function translated 3 units down

∴ The value of k = -3 makes the graph of the parent function translated

   3 units down

- For more understand look to the attached graph

# y = √x ⇒ the red graph

# y = √x - 3 ⇒ the blue graph

4 0
2 years ago
A stack of 5 books welghs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?​
Dafna11 [192]
9.5/5 = 1.9 lbs each
6 0
3 years ago
How do you factor 6x+15
Vesnalui [34]

Answer:x=15/6

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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MakcuM [25]
First problem:

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Second problem:

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Third problem:

The Science students seem to have a higher average score because the average score of Math students are:
(32+33+34+34+35+37+39+40+40)/9=36
average score of Science students are:
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7 0
3 years ago
Make s, u subject of the formula<br><img src="https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%20u%20%7B%7D%5E%7B2%7D%20%2B%202as" id="
Romashka [77]

Answer:

s = \frac{v^2-u^2}{2a}

Step-by-step explanation:

Given

v² = u² + 2as ( subtract u² from both sides )

v² - u² = 2as ( divide both sides by 2a )

\frac{v^2-u^2}{2a} = s

Given

v² = u² + 2as ( subtract 2as from both sides )

v² - 2as = u² ( take the square root of both sides )

± \sqrt{v^2-2as} = u

6 0
3 years ago
Read 2 more answers
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