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hammer [34]
3 years ago
13

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

<u>Step-by-step explanation:</u>

\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]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 3/2x + 7/2}

-------------------------------------------------------------------------------------------------------------

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.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 2 = 3/2(x - (-1))}

<u>Simplify and distribute</u>

  • \textsf{y - 2 = 3/2(x + 1)}
  • \textsf{y - 2 = (3/2 * x) + (3/2 * 1)}
  • \textsf{y - 2 = 3/2x + 3/2}

<u>Add 2 to both sides</u>

  • \textsf{y - 2 + 2 = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 7/2}

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

4 0
1 year ago
A rectangular yard has a total perimeter of 220 feet. The widths of the yard are each 30 feet shorter than the lengths of the ya
ziro4ka [17]

Answer:

L = 70   W = 40

Step-by-step explanation:

P = 220 ft

W = L - 30

I started guessing numbers for L that would work. When I did this, I made sure that all of the sides added up to 220 ft.

5 0
3 years ago
Solve for x
Tems11 [23]

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

8 0
2 years ago
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