Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
The answer to this question would be: <span>The new survey’s margin of error will be between 50% and 100% the size of the original survey’s margin of error.
A bigger sample will result in a narrower margin of error which is a good thing because your data will become more accurate. But twice size will not improve the margin into the half. It definitely became lower than 100% though
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Step-by-step explanation:
-7(-3r+2)=3r-6
Distribute the - 7
21r-14=3r-6
Add 14
21r=3r+8
Subtract 3r
18r=8
Divide 18r by 8
2.25 should be the answer to r.
Answer:
49.6 square meters
Step-by-step explanation:
first, circumference is 2*pi*r, so we want to find r. so we take 2*pi*r=24.8 and solve for r which is 4.
Now, area is pi*r^2 so pi*4^2 = pi*16 = 49.6
It will take the first car 5.5 hours to catch up to the second car.
Step-by-step explanation:
Speed of second car = 55 miles per hour
As the car has started one hour before; it has already traveled
Distance = Speed * Time
Distance = 55*1 = 55 miles
Let,
x be the number of hours.
Distance covered in x hours = 55x
S(x) = 55x+55
Speed of first car = 65 miles per hour
Distance covered in x hours = 65x
F(x) = 65x
For catching up;
F(x) = S(x)
Dividing both sides by 10
It will take the first car 5.5 hours to catch up to the second car.
Keywords: speed, distance
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