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abruzzese [7]
3 years ago
14

Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

(\frac{10^4*5^2}{10^3*5^3})^3

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top.  And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom.  Now that looks like this:

(\frac{10}{5})^3

10 divided by 5 is 2, and 2 cubed is 8

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Answer:

13

Step-by-step explanation:

78 + b = 91            Equation: Subtract 78 from both sides.

b = 91 - 78            

b = 13

You don't need her position in the game or the fact that 91 placed her second.  

6 0
3 years ago
What is the function written in vertex form?
lys-0071 [83]

Answer:

The answer in the procedure

Step-by-step explanation:

The question does not present the graph, however it can be answered to help the student solve similar problems.

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

If the coefficient a is positive then the parabola open up and the vertex is a minimum

If the coefficient a is negative then the parabola open down and the vertex is a maximum

case A) we have

f(x)=3(x+4)^{2}-6

The vertex is the point (-4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case B) we have

f(x)=3(x+4)^{2}-38

The vertex is the point (-4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

case C) we have

f(x)=3(x-4)^{2}-6

The vertex is the point (4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case D) we have

f(x)=3(x-4)^{2}-38

The vertex is the point (4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

4 0
3 years ago
Explain how you can use a grid to subtract 1.65 - 0.98.
FrozenT [24]
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3 years ago
A human body that is performing light work generates about 650 BTUs of body heat per hour. If a storage room that is 20 ft × 25
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in case your wodering its 2.1 BTUs/ft^3

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3 years ago
Susan has purchased a whole life policy with a death benefit of $200,000. Assuming that she dies in 10 years and the average inf
Anika [276]

Answer:

Answer is: $148,809.52

Step-by-step explanation:

Susan has purchased a whole life policy with a death benefit of $200,000.

Assuming that she dies in 10 years.

Rate = 3% or 0.03

Future value after 10 years = (1+r)^{n} = (1.03)^{10} = 1.344

Purchasing power of proceeds = \frac{200000}{1.344}= $148,809.52

5 0
3 years ago
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