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3 years ago

There are 37 ants, 39 worms, 12 moths, and 11 beetles living in a big garden. Find the sum. Explain your work.

Mathematics

1 answer:

Bas_tet [7]3 years ago

8 0

Answer: 99 insects altogether.

Step-by-step explanation:

Adding two numbers add a time is easiest, rather than adding all four numbers together.

First, add 37 + 39 =. 76

add 12 to that sum, which equals 88.

76+12=88

to that sum, add the final number, 11.

88+11=99

so there are 99 bugs altogether.

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2 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

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

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

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

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

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

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3 years ago

A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Gr

Zina [86]

Answer:

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Step-by-step explanation:

The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."

Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.

Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.

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2 years ago