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77julia77 [94]
3 years ago
11

What is the answer to -6 2/3 - -8 1/5

Mathematics
2 answers:
Dima020 [189]3 years ago
5 0
The answer is 1 8/15
irga5000 [103]3 years ago
5 0
-4/3 = -1 1/3 = 1.333333
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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
Rename 4/5 and 5/7 using the least common denominator
svlad2 [7]

Answer:

wh

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What kind of correlation would you expect to find between the number of computers per school and the number of student per compu
nasty-shy [4]

Answer:

negative correlation on Edg

Step-by-step explanation:

3 0
2 years ago
A cheetah ran 275 feet in 3.23 seconds. How fast did the cheetah run in miles per hour? Round your answer to the nearest whole m
yawa3891 [41]
First we convert feet into meters, since 1 feet is 0.3048 m: 275 feet * 0.3048 = 83.82m.

Then we do: 83.82m / 3.23s =  <span>25.9504644 m/s.

Then we convert that into miles per hour by </span>2.23694, so we do:

25.9504644 * 2.23694 = <span>58.0496318.

Then we round it to 58 mph.

So the answer is: The cheetah was running at 58 mph.

Hope this helped! c:</span>
6 0
3 years ago
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 2 ft. By how many
Usimov [2.4K]
You should draw a picture to visualize the problem easier.

The circumference of inner circle = 44 ft
That means the radius of the inner circle:

2*pi*r = 44
r = 44/(2pi) = 22/pi

Using the picture you hopefully drew, we see that the radius of the outer circle:
22/pi + 2

To figure out the circumference of the outer circle:
2pi*(22/pi + 2) = 44 + 4pi

So how much bigger is the the circumference of the outer circle than the inner circle?

44 + 4pi - 44 = 4pi

It is 4pi bigger or 4 * (3.14) = 12.56 feet
4 0
3 years ago
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