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4 years ago

20000

Mathematics

2 answers:

yawa3891 [41]4 years ago

7 0

B) because u add all the numbers and then divide them in how many numbers the are

Basile [38]4 years ago

4 0

B i hope I am right sorry if I’m not

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Find the value of x if the arithmetic mean of 3 and 3x+5 is 8?

mina [271]

Answer:

Step-by-step explanation:

3x+5=8

Group like terms

3x=8-5

3x=3

Divide both side by the co-efficient of x which is 3

3x/3=3/3

x=1

8 0

3 years ago

Find the area bounded by the given curves: y=2x−x2,y=2x−4

Andrej [43]

Answer:

$A = [\frac{32}{3}]$

Step-by-step explanation:

Given

$y_1 = 2x - x^2$

$y_2 = 2x - 4$

Required

Determine the area bounded by the curves

First, we need to determine their points of intersection

$2x - x^2 = 2x - 4$

Subtract 2x from both sides

$-x^2 = -4$

Multiply through by -1

$x^2 = 4$

Take square root of both sides

$x = 2$ or $x = -2$

This Area is then calculated as thus

$A = \int\limits^a_b {[y_1 - y_2]} \, dx$

Where a = 2 and b = -2

Substitute values for $y_1$ and $y_2$

$A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx$

Open Brackets

$A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx$

Collect Like Terms

$A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx$

$A = \int\limits^a_b {- x^2 + 4} \, dx$

Integrate

$A = [-\frac{x^{3}}{3} +4x](2,-2)$

$A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]$

$A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]$

$A = [\frac{16}{3}] - [\frac{-16}{3}]$

$A = [\frac{16}{3}] + [\frac{16}{3}]$

$A = [\frac{16 + 16}{3}]$

$A = [\frac{32}{3}]$

Hence, the Area is:

$A = [\frac{32}{3}]$

7 0

4 years ago

You have started keeping track of your spending habits. You have noticed that after 12 days you have

kompoz [17]

Answer:

Time taken to elapse the remaining $861 = 10.25 days

Step-by-step explanation:

Assuming that I am spending at a rate of -x dollars per day

Let initial amount be A

The rate of expenditure = 1281-861/5 = 84 dollars per day

Time taken to elapse the remaining $861 = $861/$84 per day

= 10.25 days

8 0

3 years ago

A diver stands on level ground 50 feet from the base of the 12 foot high dive. What is the approximate measure of the angle of e

love history [14]

Answer:

Step-by-step explanation:

I had the SAME EXACT question, IIT WAS right trust.

7 0

3 years ago

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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP

Kamila [148]

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.9894 × $10^{5}$

8 0

3 years ago