2 years ago

Ashton plays three games of checkers with his grandmother. Identify the

Mathematics

2 answers:

Marizza181 [45]2 years ago

8 0

Answer:

Step-by-step explanation:

o-na [289]2 years ago

4 0

Answer:

Step-by-step explanation:

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Amber determined that the expression -1/2 divided by -41/15 is equivalent to 15/82. Which statement describes the process Amber

ddd [48]

Amber could have used cross multiplication.

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3 years ago

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A marble factory makes single marbles, then put them in boxes of 10, cartons of 100 and crates of 1,000. How can the marble fact

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21 crates, 6 cartons, 5 boxes

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3 years ago

Quadrilateral ABCD is translated up and to the right and then rotated about point Q. Which congruency statement is correct?

valentina_108 [34]

Answer:ABCD = ZYXW

Step-by-step explanation:

ABCD = WXYZ

ABCD = ZYXW

ABCD WZYX

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3 years ago

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:

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

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2 years ago

SungHee empties her piggy bank and finds that that she has 200 quarters 150 dimes and 300 pennies. How much money does she have

gayaneshka [121]

A quarter = 0.25......200 quarters = 200(0.25) = $ 50
a dime = 0.10...150 dimes = 150(0.10) = $ 15
a penny = 0.01....300 pennies = 300(0.01) = $ 3

for a total of : 50 + 15 + 3 = $ 68

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2 years ago