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Svetach [21]
3 years ago
7

What is the value of this expression when a = 2 and b = -3 ? a^3 - b^3 / 5

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

13 2/5

Step-by-step explanation:

a = 2 and b = -3

so the question asks whats.... a^3 - b^3/5

First we plug in the values of a and b

(2)^3 - (-3)^3 /5

Now we solve the ones in paranthesis first

(2)^3 = 8 because 2×2×2 and

-(-3)^3 forget about the - outside the parenthesis so

(-3)^3 = (-27) because (-3)×(-3)×(-3)

now we put it back together

8 -(-27)/5

the two minus become plus so

8 + 27/5

Now we solve it like fractions

8 and 27/5

simplify

13 and 2/5

Hope that helps!

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Find the mean and median of these data: 2, 5, 13, 15, 19, 21.
Maru [420]

The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

<h3>What is Arithmetic mean?</h3>

Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.

Mean = Sum total of the number ÷ n

Where n is number of numbers

Median is the middle number in the data set.

Given the sets;

  • 2, 5, 13, 15, 19, 21
  • n = 6

Mean = Sum total of the number ÷ n

Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6

Mean = 75 ÷ 6

Mean = 12.5

Median is the middle number in the data set.

Median = ( 13 + 15 ) ÷ 2

Median = 14

Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

Learn more about arithmetic mean here: brainly.com/question/13000783

#SPJ1

3 0
2 years ago
Which of the following represents an arithmetic sequence?
kicyunya [14]

Answer:

5=3+2

7=5+2

9=7+2

so this is 3,5,7,9

Step-by-step explanation:

6 0
3 years ago
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
ioda

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

8 0
2 years ago
Use the table below to determine whether f(x) could represent a linear function If it could write f(x) in the form f(x)=mx+b
Elodia [21]

Answer:

  • f(x) = 6x - 5

Step-by-step explanation:

We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)

<u>So the function is:</u>

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3 0
3 years ago
3.5^1.6 <br>round answer to nearest thousandth​
Dmitriy789 [7]

The answer would be 7.42

Use desmos online calculator

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