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Afina-wow [57]
3 years ago
10

A natural history museum surveyed the people visiting the museum for one month and created a circle graph to show the age of the

visitors for that month.
Plzz I need the answers for A
a. Find the number of degrees for each part of the museum visitors graph. (8 points)
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how many visitors were there for each age group? (8 points)
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

A natural history museum surveyed the people visiting the museum for one month and created a circle graph to show the age of the visitors for that month.

Plzz I need the answers for A

a. Find the number of degrees for each part of the museum visitors graph. (8 points)

Age 18 and under:

Age 19 – 44:

Age 45 – 64:

Age 65 and over:

b. If 5000 people visited the museum during the month the survey was taken, how many visitors were there for each age group? (8 points)

Age 18 and under:

Age 19 – 44:

Age 45 – 64:

Age 65 and over:

Step-by-step explanation:

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Each pencil is .1075 cents
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Round 8.96278650871 to the nearest millionth.
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Answer:

The answer is 8.96278<u>7</u> .

Step-by-step explanation:

The number above is :

8 = Ones place

8.9 = Tenth place

8.96 = Hundredth place

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8.9627 = Ten thousandth place

8.96278 = Hundred thousandth place

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8.96278<u>7</u> = Nearest millionth

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4 years ago
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Suppose x=c1e−t+c2e3tx=c1e−t+c2e3t. Verify that x=c1e−t+c2e3tx=c1e−t+c2e3t is a solution to x′′−2x′−3x=0x′′−2x′−3x=0 by substitu
Harrizon [31]

The correct question is:

Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)

Answer:

x = c1e^(-t) + c2e^(3t)

is a solution to the differential equation

x''- 2x' - 3x = 0

Step-by-step explanation:

We need to verify that

x = c1e^(-t) + c2e^(3t)

is a solution to the differential equation

x''- 2x' - 3x = 0

We differentiate

x = c1e^(-t) + c2e^(3t)

twice in succession, and substitute the values of x, x', and x'' into the differential equation

x''- 2x' - 3x = 0

and see if it is satisfied.

Let us do that.

x = c1e^(-t) + c2e^(3t)

x' = -c1e^(-t) + 3c2e^(3t)

x'' = c1e^(-t) + 9c2e^(3t)

Now,

x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]

= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)

= 0

Therefore, the differential equation is satisfied, and hence, x is a solution.

4 0
3 years ago
What is the rate of change between 750 and 1350
telo118 [61]
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Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo
Semmy [17]

Answer:

y =\dfrac{12}{5}x + 22

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3)  ⇒ x₁ = 2 & y₁ = 3  

(-10, 8)  ⇒ x₂ = -10 & y₂ = 8

\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}

          = \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}

\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}

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Equation of the required line: y = mx + b

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The line passes through (-5 , 10). Substitute in the above equaiton,

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 10 + 12 = b

        b   = 22

Equation of the line:

  y =\dfrac{12}{5}x + 22

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