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s344n2d4d5 [400]
3 years ago
8

Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Which expression can Mrs. Clements use to find the

area of the table top, in square feet? A (5x3x4) + (4x2) C (4 3 5) 1 1··2(2 3 4) B (9 3 4) 1 (4 3 5) D (4 3 9) 1 1··2(5 3 4) 5 feet 4 feet 2 feet 9 feet
Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

60

Step-by-step explanation:

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During the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this
alex41 [277]

Answer:

Step-by-step explanation:

Given that during  the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.

\frac{dP}{dt} =0.03135P =0.0001489P^2, P(0) = 3.9

a) 1930 population is the population at time t = 40 years taking base year as 40

We can solve the differential equation using separation of variables

\frac{dP}{0.03135P – 0.0001489P^2 } =dt\\\frac{dP}{-P(0.03135 – 0.0001489P } =dt

Resolve into partial fractions

\frac{31.8979}{P} -\frac{0.00474}{0.0001489P-0.03135}

Integrate to get

ln P -0.00474/0.0001489  (ln (0.0001489P-0.03135) = t+C

ln P -31.833  (ln (0.0001489P-0.03135) =t+C

\frac{P}{( ( (0.0001489P-0.03135)^{31.833}  } =Ae^t

Limiting population would be infinity.

6 0
3 years ago
I need help with this exercise on Simplifying Logarithms.
Ainat [17]

Answer:

  e^6 ≈ 403

Step-by-step explanation:

You want the value of e^(4x-2) when x = 2.

<h3>Evaluation</h3>

Put 2 where x is in the expression and do the arithmetic.

  e^(4·2 -2) = e^6 ≈ 403.429

The value of the expression is about 403.

8 0
1 year ago
What is the least common multiple of 10 and 7?​
geniusboy [140]
70

They both can multiply to reach it and it is the lowest one (no multiple of 7 can end on a 10 below that).
5 0
3 years ago
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A bag contains 44 red balls and 55 blue balls. 22 balls are selected at random. find the probability of selecting 22 red balls.
scoundrel [369]
<span># of ways to select 2 red balls: 5C2 = 10
# of random pairs of balls: 12C2 = 66</span>
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3 years ago
Write the translated function. <br> f(x)= 11x + 10 ; shifts 3 units up.
vagabundo [1.1K]

Answer:

f(x)= 11x +10 +3 or 11x +13

Step-by-step explanation:

6 0
3 years ago
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