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3 years ago

Halp!! please!!

Mathematics

2 answers:

disa [49]3 years ago

7 0

7 \ 16 might be the answer

Aleksandr [31]3 years ago

5 0

3 1\2 x 1\8 7\2 x 1\8 answer=7\16

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The formula Upper A equals 23.1 e Superscript 0.0152 tA=23.1e0.0152t models the population of a US state, A, in millions, t ye

Wewaii [24]

Answer:

a) $A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1$

b) $t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years$

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

Step-by-step explanation:

For this case we assume the following model:

$A(t)= 23.1 e^{0.0152 t}$

Where t is the number of years after 2000/

Part a

For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:

$A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1$

So then the initial population at year 2000 is 23.1 million of people.

Part b

For this case we want to find the time t whn the population is 28.3 million.

So we need to solve this equation:

$28.3= 23.1 e^{0.0152(t)}$

We can divide both sides by 23.1 and we got:

$\frac{28.3}{23.1}= e^{0.0152t}$

Now we can apply natural log on both sides and we got:

$ln(\frac{28.3}{23.1})= 0.0152 t$

And then for t we got:

$t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years$

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

3 0

3 years ago

Find how many yard are in 1 mild. A mile is 5280 feet, a yard is 3 feet

siniylev [52]

Answer: 1760

Step-by-step explanation:

$\dfrac{5280\ feet}{1\ mile}\times \dfrac{1\ yard}{3\ feet}\quad =\dfrac{5280\ yard}{3\ feet}\quad =\large\boxed{1760\ yard\ per\ mile}$

6 0

3 years ago

Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

horsena [70]

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

Plug in the values