1 year ago

Reduce 18/45 to simplest form

Mathematics

1 answer:

nadya68 [22]1 year ago

7 0

Answer:

2/5

Step-by-step explanation:

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A motor is 85.4 % efficient: that is, the output is 85.4 % of the input. What is the input if the motor delivers 10.75 hp. ( Rou

Ludmilka [50]

Answer:

12.6 hp

Step-by-step explanation:

Represent the input by n. 10.75 hp

Then 0.85n = 10.75 hp, and n (the input) is --------------- = 12.6 hp

0.85

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3 years ago

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

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3 years ago

Find an equation in slope-intercept form for the line with a zero slope and passes through (12, -9).

Virty [35]

If the slope is 0, then x does not change at all.

take the given y coordinate, and make that the equation.

so y=-9, since the line will never change.

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3 years ago

At a New Car Dealership, a particular model comes in 3 different trim levels (CX, DX,

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Answer:

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Step-by-step explanation:

Multiply all the numbers of choices together.

trim levels: 3

colors: 4

interior: 4

number of combinations = 3 * 4 * 4 = 48

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3 years ago

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Assessment timer and count Assessment items Item 5 Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds o

nikklg [1K]

Answer:

228+318=556

Step-by-step explanation: in conclusion that's alot of meat

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2 years ago

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