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3 years ago

PLS HELP DUE SOON SHOW YOUR WORK!

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

9514 1404 393

Answer:

615.8 square feet
9 truckloads

Step-by-step explanation:

The area of the circular ring is given by the formula ...

A = πr²

where r is the radius, or half the diameter.

A = π(14 ft)² = 196π ft² ≈ 615.752 ft²

The area of the training area is about 615.8 square feet.

The number of truckloads of dirt required for coverage will be ...

(615.8 ft²)/(75 ft²/truckload) ≈ 8.21 truckloads

Since the dirt comes only in whole truckloads, Hilary needs 9 truckloads.

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Carlos harvests cassavas at a constant rate. He needs 35 minutes to harvest a total of 15cassavas. Write an equation to describe

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the ans is c=15/35t

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3 years ago

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A New York taxi service charges a $3.25 boarding rate in addition to its meter which is $2 for every mile. How much does it cost

IgorC [24]

Answer:

Hey there!

This can be modelled by an equation, y=2x+3.25

For one mile: y=2(1)+3.25, or y=5.25

For twenty miles: y=2(20)+3.25, or y=43.25

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3 years ago

Which measurement is not equivalent to the others?<br><br> 500 cm<br> 5 m<br> 0.5 km<br> 5,000 mm

morpeh [17]

0.5 km

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4 years ago

A biologist observed that a certain bacterial colony obeys the population growth law and that the colony triples every 4 hours.

MrRa [10]

Answer:

a) $P(t) = 2e^{0.275t}$

b) 54.225 square centimeters.

c) 2.52 hours

Step-by-step explanation:

The population growth law is:

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

In which P(t) is the population after t hours, $P_{0}$ is the initial population and r is the growth rate, as a decimal.

In this problem, we have that:

The colony occupied 2 square centimeters initially, so $P_{0} = 2$

The colony triples every 4 hours. So

$P(4) = 3P_{0} = 6$

(a) An expression for the size P(t) of the colony at any time t.

We have to find the value of r. We can do this by using the P(4) equation.

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

$6 = 2e^{4r}$

$e^{4r} = 3$

Applying ln to both sides, we get:

$4r = 1.1$

$r = 0.275$

$P(t) = 2e^{0.275t}$

(b) The area occupied by the colony after 12 hours.

$P(t) = 2e^{0.275t}$

$P(12) = 2e^{0.275*12}$

$P(12) = 54.225$

(c) The doubling time for the colony?

t when $P(t) = 2P_{0} = 2*2 = 4$ .

$P(t) = 2e^{0.275t}$

$4 = 2e^{0.275t}$

$e^{0.275t} = 2$

Applying ln to both sides

$0.275t = 0.6931$

$t = 2.52$

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3 years ago

A Cepheid star is a type of variable star, which means that its brightness is not constant.

LekaFEV [45]

A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by

M = − 2.78 (log P) − 1.35,

Given the absolute magnitude of a star that has a period of 62 days is,

M = − 2.78 (log 62) − 1.35

M = -6.3328

Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.

Learn more about Function:

brainly.com/question/5245372

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