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ExtremeBDS [4]
3 years ago
12

Rewrite the expression in the form of 4 π 4 to the 8th power over 4 to the 3rd power

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

  4^5

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

__

Then you have ...

  (4^8)/(4^3) = (4^8)(4^-3) = 4^(8-3) = 4^5

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If 4 is subtracted from twice a number the result is 10 less than the number
Sveta_85 [38]
This question is just a question targeted towards puzzling the solver. It is infact a very easy problem. In the given question the information's provided should be very minutely watched. First information says that there is an unknown number. The problem revolves around this unknown number and various information's show that this number is always connected with the majority information's provided.
Let us assume the unknown number = x
Then
2x -4 = x - 10
2x - x = - 10 + 4
x = - 6
So the unknown number is -6.
8 0
3 years ago
Factored Form:<br><br> y=2(x+5)(x+4)<br><br> What are the x- intercepts, y-intercepts, and vertex?
geniusboy [140]
X=-5,-4
Vertex = -b/2a= -9/2
Y intercept= 40


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6 0
2 years ago
Hazel traveled 796 meters by foot. She traveled 3,486 meters by car and 56,975 meters by hot air balloon. How many meters did Ha
Marina CMI [18]

Answer:

61,257

Step-by-step explanation:

796+56,975+3,486

6 0
3 years ago
Read 2 more answers
Some scientists say, happiness, when measured on a scale of 0 (super unhappy) to 100 (super happy), is a function of the number
ololo11 [35]

Answer:

f(x) = 60-2x

Step-by-step explanation:

Suppose that f(x) = y is a happiness function. It is a function of the number of hours you spend on Instagram per day. That means that the output of the function will be a "happiness score",i.e. the value between 0 and 100, and the variable <em>x </em>will be an output value, the hours spent on Instagram daily.

We know that if we spend 0 hours on Instagram per day the happiness score will be 60, which means that:

f(0) = 60

If we spend 1 hour per day on Instagram our level of happiness will be decreased by 2, i.e. 60-2 = 58. Therefore,

f(1) = 58

If we spend 2 hours on Instagram per day our level of happiness will be decreased even more, i.e. 58-2 = 56. Therefore,

f(2) = 56

Notice that 56 = 60-4 = 60-2*2

If we spend 3 hours on Instagram per day our level of happiness will be decreased even more, i.e. 56-2 = 54. Therefore,

f(3) = 54

Notice that 54 = 60-6 = 60-3*2

Now we can see the pattern from which the level of happiness can be calculated. It is 60 decreased by the number of hours multiplied by 2.

Hence, the "happiness function" is:

f(x) = 60-x*2 = 60-2x, where x is a number of hours spent on Instagram.

7 0
3 years ago
A fish population in a lake decreases by 2% each year. What is the common ratio? (Write your answer as a decimal)
galina1969 [7]

Answer:

the common ratio is 0.98.

Step-by-step explanation:

A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.

The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%

Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,

98% = \frac{98}{100}=0.98

Therefore, the common ratio or decay factor is 0.98.

8 0
3 years ago
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