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gtnhenbr [62]
4 years ago
9

Prove that (81/16)^-3/4 ×[(25/9)^-3/2 ÷ (5/2)^-3]=1​

Mathematics
1 answer:
andreev551 [17]4 years ago
8 0

Answer:

First write them in positive exponent form

(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]

(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)

Simplify the terms

2³/3³ × ( 3³ / 5³ ÷ 2³/5³)

Solve the terms in the bracket

2³/3³ × (3³/5³×5³/2³)

You will get

2³/3³ × 3³/2³ = 1

They will cancel each other so the answer will be 1

Hope this helps.

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A bee flies 25 m north of the hive then 10 m east 5 m west and 10 m south. How far north and east of the hive is it now? Explain
mafiozo [28]

Answer:

20 meters north.

Step-by-step explanation:

(I did it on a paper not to lose track.) First we go 25 north. Then ten east. Five south. And 10 west again. So in East/West we didn't move but we moved 5 down/south so we are still at twenty. If you don't understand still draw it on a paper.

5 0
3 years ago
I have no idea what to do
tekilochka [14]

Answer: Y=-5x+30

Step-by-step explanation:

First, you have to find the slope of graph so you find the rise over run Y/X. Since the X values are being measured by 1’s, and the Y values are being measure by 5’s, your slope would be -5 (not 5 as the graph line is decreasing therefore it is negative). To find b, you find the Y intercept of the graph (where Y is when X=0) and in this case, the y intercept is 30. So the equation that describes what is occurring in the graph is Y=-5x+30 as a linear equation is written as Y=mx+b. You can check If the equation is correct by substituting the x and y values of a specific coordinate point on the graph. For example: 25= -5(1)+30. This gives you 25=25 so the equation is correct.

8 0
4 years ago
There is a negative correlation between the number of years in college and earnings.
n200080 [17]
It is false that there is a <span>negative correlation between the number of years in college and earnings.</span>
8 0
3 years ago
Read 2 more answers
The area of a rectangle is 42 m2, and the length is
MrRissso [65]

Answer:

length = 14 m

width = 7 m

Step-by-step explanation:

l = length

w = width

l = 2w - 8

w(2w - 8) = 42

2w² - 8w - 42 = 0

you can factor out a 2 to work with smaller numbers:

w² - 4w - 21 = 0

(w - 7)(w + 3) = 0

w = 7

'w' cannot equal a negative so we discount it as an answer

find length:

l = 2(7) - 8

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3 years ago
A 12 foot ladder is leaning against the side of a building. The top of the ladder reaches 10 feet up the side of the building. A
Soloha48 [4]
√135=3√15.....................

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4 years ago
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