What is the negative reciprocal of 3/4 or three over 4

EastWind [94]

28.) -3 | r + 4| = -21...divide both sides by -3
| r + 4 | = -21/-3
| r + 4 | = 7

r + 4 = 7 -(r + 4) = 7
r = 7 - 4 -r - 4 = 7
r = 3 -r = 7 + 4
-r = 11
r = -11

solution is : r = 3 or r = -11
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32. ) 4| 7y + 2 | - 8 = -7....add 8 to both sides
4 | 7y + 2 | = -7 + 8
4| 7y + 2 | = 1 ...divide both sides by 4
| 7y + 2 | = 1/4

7y + 2 = 1/4 -(7y + 2) = 1/4
7y = 1/4 - 2 -7y - 2 = 1/4
7y = 1/4 - 8/4 -7y = 1/4 + 2
7y = -7/4 -7y = 1/4 + 8/4
y = -7/4 * 1/7 - 7y = 9/4
y = - 7/28 reduces to - 1/4 y = 9/4 * -1/7
y = - 9/28

solution is : y = -1/4 or y = -9/28
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34.) I cant see this one

4 0

3 years ago

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

$\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}$

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.

4 0

3 years ago

After a battle six people were killed and 45 were injured. There were 467 people involved in all. What percent of the total peop

fredd [130]

Answer:

11%

Step-by-step explanation:

6 0

3 years ago

Must a function that is decreasing over a given interval always be negative over that same interval? Explain.

jarptica [38.1K]

The correct answer is: 
no.

Explanation: 
For a function to be decreasing over an interval, the value of the function, f(x), must decrease as x increases. This does not, however, mean that the values of the function are negative. The function could have a positive range while still decreasing (becoming smaller positive numbers as x increase).

8 0

3 years ago

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How do i do thiss im confused!!!!!!!!!!!11

pychu [463]

Answer: 1.5?

Step-by-step explanation:

That would be the only thing I would think? Perhaps ask the teacher or someone smarter then me lol. sorry I couldn’t help

5 0

3 years ago

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