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Effectus [21]
2 years ago
9

Simplify give ur answer in index form.​

Mathematics
1 answer:
kherson [118]2 years ago
3 0

\frac{( {j}^{4} \:  \times  \:  {j}^{8}) ^{3}  }{( {j}^{9} \:  \div  \:  {j}^{2}) ^{2}   }

  • First we calculate the product of the denominator.

\frac{( {j}^{12}) ^{3}  }{( {j}^{9} \:  \div  \:  {j}^{2}) ^{2}   }

  • Then we calculate the quotient of the numerator.

\frac{( {j}^{12}) ^{3}  }{( {j}^{7}) ^{2}   }

  • We multiply the exponents of the expression.

\frac{ {j}^{36} }{ {j}^{14} }

  • We divide.

\boxed{ \bold{ {j}^{22} }}

<h3><em><u>MissSpanish</u></em></h3>

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Multiply out (expand) the following bracket<br> 5(x - 3)
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Step-by-step explanation:

5x - 15 we multiply the barclet value by 5

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An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research de
sertanlavr [38]

Answer:

a)

Price=150.414-16.626 Age

b)

$34.032

c)

We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model

Step-by-step explanation:

Age(X)   Price(Y)

8              18

3              94

6              50

9              21

2              145

5              42

6              36

3              99

a)

The regression equation can be written as

y=a+bx

b=\frac{sum(x-xbar)(y-ybar)}{sum(x-xbar)^{2} }

a=ybar-bxbar

xbar=sumx/n

xbar=(8+3+6+9+2+5+6+3)/8=5.25

ybar=sumy/n

ybar=(18+94+50+21+145+42+36+99)/8=63.125

x y x-xbar y-ybar (x-xbar)^2 (x-xbar)(y-ybar)

8 18 2.75  -45.125 7.5625        -124.09375

3 94 -2.25 30.875 5.0625        -69.46875

6 50 0.75 -13.125 0.5625        -9.84375

9 21 3.75  -42.125 14.0625        -157.96875

2 145 -3.25 81.875 10.5625        -266.09375

5 42 -0.25 -21.125 0.0625         5.28125

6 36 0.75 -27.125 0.5625        -20.34375

3 99 -2.25 35.875 5.0625        -80.71875

Total             43.5        -723.25

b=\frac{sum(x-xbar)(y-ybar)}{sum(x-xbar)^{2} }

b=-723.25/43.5

b=-16.626

a=ybar-bxbar

a=63.125-(16.626)*5.25

a=150.414

Thus, the required regression equation is

y=150.414-16.626 x

Price=150.414-16.626 Age

b)

For predicting price of 7 years old car we put x=7 in the estimated regression equation

y=150.414-16.626 x

y=150.414-16.626(7)

y=150.414-116.382

y=34.032

The predicted price of a 7 year old car is $34.032.

c)

We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model. The estimate of price is only valid for 2 to 9 year old car.

8 0
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May someone please help me with this question
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Answer:

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Step-by-step explanation:

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a=1

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The square root of -4 is 2i.  i=√-1.  Therefore 2i= 2√-1 .If you simplify that, it becomes  √-4i.  

X= (4+/- 2i)/2

X= 2+/-i

X= 2+i or 2-i

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Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

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