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Alina [70]
3 years ago
8

Express in simplified exponential notation. x3 • x5 =

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

  x^8

Step-by-step explanation:

The applicable rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

Here you have ...

  (x^3)(x^5) = x^(3+5) = x^8

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The questions are in the picture <br> (I’LL GIVE BRAINLEST)
saul85 [17]

Answer:

130 total people

Step-by-step explanation:

This is because the ratio of woman to men is 8 to 5, and there are 50 men, so you do 50 divided by 5 to get you 10, then multiply 10 by 8 which gets you 80 women, 50+80=130. :)

6 0
3 years ago
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F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

-------------

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

------------

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

------------

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

7 0
2 years ago
A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?
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8 0
3 years ago
Determine the intercepts of the line. <br> x-intercept ( , ) <br> y-intercept ( , )
aliya0001 [1]

Answer:

y-100

x-250

Step-by-step explanation:

because the lines are insecting the other lines on that line

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3 years ago
PLZ HELP ME:Evaluate: What is the value of the expression -5(3 + 4)?
almond37 [142]

Answer:

-35

Step-by-step explanation:

PEMDAS

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3 years ago
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