3 years ago

1a.) State the domain of the function. 1b.) State the range of the function.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

6 0

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

The graph goes on infinitely both ways.

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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

The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers

zhenek [66]

1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km <==

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3 years ago

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Match the English word or phrase to its math equivalent.

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Sveta_85 [38]

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3 years ago

You have a pickle recipe that requires 24 ounces of sugar. You want to make a triple batch of pickles. How many pounds of sugar

Maksim231197 [3]

Answer:

4.5

Step-by-step explanation:

First, get # of ounces in total:

24*3= 72

Then multiply: (0.0625 equals 1 ounce in pounds)

72* 0.0625= 4.5

Hope this helps!

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2 years ago