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Lina20 [59]
1 year ago
14

The amount of time needed to Stuff and address envelopes for the local high schools followers in campaign varies inversely with

the number of parent and student volunteers that attend the envelope stuffing event last year It took 20 people 3 hours to stuff in the dress the envelopes select the equation that could be used to estimate the amount of time Y, it will take the X number of volunteers to stuff and address the same number of envelopes.

Mathematics
1 answer:
azamat1 year ago
8 0

This is a proportion question. In this case, it states that the time, y, and the number of volunteers, x, are inversely proportion. So:

20 -- 3

x -- y

Because the proportion is inverse, we inverse one of them to write the equation:

\begin{gathered} \frac{20}{x}=\frac{y}{3} \\ y=\frac{60}{x} \end{gathered}

The equation asked is:

y=\frac{60}{x}

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Which interval for the graphed function contams the local<br> maximum?
Natasha2012 [34]

Answer:

[0,2]

Step-by-step explanation:

A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.

The crest of a wave is local maximum and the trough of wave is local minimum.

Here, in the graph, there are 2 troughs and 1 crest.

The crest is at (1.55,10.8). So, the local maximum is at (1.55,10.8).

The interval of the local maximum is between x = 0 and x = 3.

So, the option that matches with the above interval is [0,2].

6 0
3 years ago
After 1 month your $120 becomes $121.20. what is the yearly interest rate? ​
Rasek [7]
Answer $14.40 hope this helps
5 0
4 years ago
PLZZZZZZZZZZZZZ HELP I NEED HELP QUICK :(
QveST [7]

Step-by-step explanation:

it's gonna either be B or D

7 0
3 years ago
Its operations with complex number " find the difference of 13 - 7i and -4 + 4i
irina [24]
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5 0
3 years ago
A student in Greece discovers a pottery bowl that contains 28% of its original amount of C-14 find the age of the pottery bowl t
Andreyy89

Answer:

The age of the pottery bowl is 10523 years.

Step-by-step explanation:

Amount of substance:

The amount of a substance after t years is given by the following equation:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate.

Half-life of C14.

Researching, the half-life of c-14 is 5730 years.

This means that:

A(5730) = 0.5A(0)

We use this to find r. So

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{5730}

(1-r)^{5730} = 0.5

\sqrt[5730]{(1-r)^{5730}} = \sqrt[5730]{0.5}

1 - r = 0.5^{\frac{1}{5730}}

1 - r = 0.99987903922

So

A(t) = A(0)(0.99987903922)^t

Age of the pottery bowl:

We have that:

A(t) = 0.28A(0)

We have to find t. So

A(t) = A(0)(0.99987903922)^t

0.28A(0) = A(0)(0.99987903922)^t

(0.99987903922)^t = 0.28

\log{(0.99987903922)^t} = \log{0.28}

t\log{0.99987903922} = \log{0.28}

t = \frac{\log{0.28}}{\log{0.99987903922}}

t = 10523.1

So

The age of the pottery bowl is 10523 years.

6 0
3 years ago
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