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tatiyna
2 years ago
15

Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?

Mathematics
1 answer:
DENIUS [597]2 years ago
4 0

Answer:

I THINK its the last one (8 root 10 to the power of 3x)

Step-by-step explanation:

A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.

Due to exponent rules we can multiply to get

10^3/8x which is the same thing as 10^3x/8

The 8 goes to the root and the 3x becomes the exponent

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ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true?
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Rotation is a type of transformation refered to a in which the shape of the original object is preserved and the angle of rotation is constanf for all the parts of the body.

Thus, when <span>ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.

</span><span>m∠EAE ' = m∠FAF '</span>
7 0
2 years ago
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Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the res
jolli1 [7]

N = original number = 6
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2 years ago
Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio
arlik [135]

Answer: For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

y=4+0.75(m-5) such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

7 0
2 years ago
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Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing
andreyandreev [35.5K]

Answer:

A bag of pop corn costs $8, and each Pretzel costs $4.25.

Step-by-step explanation:

Let b be the price of popcorn, and p the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation

2b+5p=37.25  <em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .

And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation

8b+9p=102.25<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>

Thus, we have two equations

1. 2b+5p=37.25

2. 8b+9p=102.25

and we solve them by first multiplying equation (1) by 4:

4(2b+5p=37.25 )\rightarrow (8b+20p=149),

and then subtracting it from equation (2):

\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}

Now we put this value of p into equation (1) and get:

2b+5(4.25)=37.25

and we solve for b to get:

2b=37.25-21.5

\boxed{ b=8}

Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.

8 0
2 years ago
A certain financial institution declared Php 57.00 dividend per share for its common stock. The market value of the stock is Php
Darina [25.2K]

Answer:

28.79

Step-by-step explanation:

The dividend share is Php 57

The Market value for the stock is Php 198

Therefore the stock yield ratio can be calculated as follows

= 58/198

= 0.2879 × 100

= 28.79

Hence the dividend stock yield ratio is 28.79

7 0
1 year ago
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