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AysviL [449]
3 years ago
13

Fred bought 4 L of liquid laundry detergent

Mathematics
1 answer:
love history [14]3 years ago
7 0
That means he had 400 or 4000mm
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Sam ran 63,756 feet in 70 minutes. What is Sam’s rate in miles per hour?
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Answer:

63756/70=910.8 ft per minute

The choice is in order so just make the lines straight

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Can you show that this quadrilateral is a parallelogram?
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The diagonals intersect perpendicularly, two consecutive angled are supplementary, and that opposite angles are equal
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Which statement is true about the relation shown on the graph below?
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b should be the correct one

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The government of the Republic of Lemon Island plans to transform their lemon-based economy into a tourism-based economy. They d
NNADVOKAT [17]

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) First, find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(b) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (a):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(c) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

3 0
3 years ago
A lamp is 36 inches ABOUT how many centimeters tall is the lamp (one inch is about 2.5 centimeters)
Viktor [21]
The lamp is about 90 cm. to get this answer you take 36 and multiply it by 2.5.
7 0
3 years ago
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