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SpyIntel [72]
3 years ago
15

How to simplify (16/9x^4) ^-(3/2)​

Mathematics
1 answer:
Tema [17]3 years ago
8 0

Answer:

(\frac{16}{9}x^4)^-\frac{3}{2}

=(\frac{16}{9})^\frac{-3}{2}(x^4)^\frac{-3}{2}

=\frac{27}{64}x^{-6}

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I need help on #9. The help would be grateful appreciated.
ELEN [110]
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750

New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6

The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6

Answer: if you divide the old volume by 125, then you get the new volume

Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume

The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3

8 0
3 years ago
Determine the slope of a line with the equation 6x+2y-4=0​
Brums [2.3K]
5
Is the answer to the craziest answer
5 0
3 years ago
the sunshine rental company rents cars for $17 per day plus 50 cents per mole driven the rent me company rents cars for $20 per
forsale [732]

Answer:

21.43 miles

Step-by-step explanation:

Let

x ---> the number of miles

y ---> the total cost of rent a car per day

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

<em>sunshine rental company</em>

The slope is equal to

m=\$0.50\ per\ mile

The y-intercept is equal to

b=\$17

substitute

y=0.50x+17 ----> equation A

<em> rent me company</em>

The slope is equal to

m=\$0.36\ per\ mile

The y-intercept is equal to

b=\$20

substitute

y=0.36x+20 ----> equation B

equate equation A and equation B

0.50x+17=0.36x+20

solve for x

0.50x-0.36x=20-17\\0.14x=3\\x=21.43\ miles

7 0
4 years ago
A softball coach has ordered softballs for two different leagues. The Junior League uses
dedylja [7]

The number of 11-inch softball is 70 and the number of 12-inch softball is 50.

<u>Step-by-step explanation</u>:

<u>Given that,</u>

  • The cost of 11-inch softball = $2.50
  • The cost of 12-inch softball = $3.50

<u>Let us assume,</u>

  • The number of 11-inch softball be 'x'.
  • The number of 12-inch softball be 'y'.

<u>Forming the equation to solve x and y values :</u>

  • The total number of softball ordered = 120
  • The total cost for 120 softballs = $350

x + y = 120  -------(1)

2.5x + 3.5y = 350   --------(2)

<u>Multiply eq(1) by 2.5 and subtract eq(2) from eq(1)</u>,

 2.5x +2.5y = 300

-<u>(2.5x +3.5y = 350)</u>

  <u>        -1y     =  -50</u>

Therefore the value of y = 50.

The number of 12-inch softball is 50.

<u>Substitute y=50 in eq(1),</u>

x+50 = 120

x = 120-50

x = 70

The number of 11-inch softball is 70.

5 0
3 years ago
Wich properly is illustrated by the following statement 3+x=x+3
Ugo [173]
Commutative property I hope this helps

6 0
4 years ago
Read 2 more answers
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