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2 years ago

Help I can’t figure out how to do zero exponents

Mathematics

1 answer:

Orlov [11]2 years ago

4 0

Anything (except 0) to the 0 power is equal to 1.

8^0 = 1

(-8)^0 = 1

24781297429879741^0 = 1

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The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

6 0

3 years ago

Alexa is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What shoul

avanturin [10]

I think the correct answer among the choices listed above is option C. Alexa is constructing a circle inscribed in a triangle. She has partially completed the construction. Her next step is to use the arc markings to determine the radius to construct the circle.

6 0

3 years ago

Read 2 more answers

What is 1/8+1/4-14 equal what

Bingel [31]

= 3/8-14

-109/8

I hope that's help !

5 0

2 years ago

Sam manages a clothing boutique and has an annual salary of $23600. Doug works in a shoe store and is paid 9.40/h each week. Who

just olya [345]

Answer:

Sam earns more money than Doug in an year

Step-by-step explanation:

The complete question is -

Sam manages a clothing boutique and has an annual salary of $23600. Doug works in a shoe store and is paid 9.40/h for 40 hours each week. Who has the higher gross income each month?

Solution -

Sum of money (in dollars) earned by Doug in one week is equal to

$= 9.40 *40\\= 376$

Sum of money (in dollars) earned by Doug in one year is equal to

$= 376 * 52 \\= 19552$

Hence, Sam earns more money than Doug in an year

3 0

3 years ago

30 points ! complete the folllowing problems. don't answer if you dont know.

s344n2d4d5 [400]

Answer:

false

Step-by-step explanation:

3×-8=-24

-171+9=-162

so -24 is not equal to-162

3 0

3 years ago