In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?

Answers

Answer 1

Answer:

Here plz give brainliest not easy to explain in detail like this

Step-by-step explanation:

We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph:  (4, 4290) and (8, 3850)

Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)                 Slope formula

m = (3850 - 4290)/(8 - 4)          Substitution

m = -440/4                               Solve the subtraction problems in the parenthesis

m = -110                                  Reduce the fraction

Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line.  I will use the first point, but either point will produce the same answer.

y - y1 = m(x - x1)                                     Point-slop e formula

y - 4290 = -110(x - 4)                              Substitution

y - 4290 = -110x + 440                            Distribute the -110

y - 4290 + 4290 = -110x + 440 + 4290      Add 4290 to each side

y = -110x + 4730                                     Simplify

Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we need to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970


Related Questions

what is the right answer

Answers

Answer:

C. The third option

Step-by-step explanation:

square root of 3 = 1.73

2/6 = 0.333

254% = 2.54

I hope that this helps!

what is f (x) = (3x^4 +1) ^2

Answers

Answer:

Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2

Step-by-step explanation:

which of the following has factor of (× - 4) (× - 3)?​

Answers

Answer:

Hello!

After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:

x²-7x+12

Step-by-step explanation:

This is my work:

For what value of the variable will the expression 8b-27 be equal to the following? -11
100 POINTS
BRAINLIEST IF CORRECT

Answers

Answer:

2

Step-by-step explanation:

8b - 27 = -11

8b = 16

b = 2

The variable b will equal 2

Let's check

8b-27=-118b=-11+278b=16b=2

Amy drove to her mother's house, which is
204 miles away. If it took her 3 hours, what was
her average speed

Answers

Answer:  68 miles per hour 2

204 miles/3 hours = 68 miles per hour

i hope this helps you ok :)

Answer:

68 Miles Per Hour

Step-by-step explanation:

[tex]\frac{204}{3} =68[/tex]

soryy the last time i ask i forgot part b. a.The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?

b. The flywheel on a steam engine rotates 60 revolutions every 15 seconds. Identify the unit RATE.

Answers

Answer:

A is 4 revolutions per second

B is 4 as the unitrate since 4 it the amount of revolutions it is going per a second.

Step-by-step explanation:

pls brainliest.

5^-3/6^-2 Do not Change answer to Decimal Form.
A: 36/125


B: 125/36


C: 5/9


D: 9/5

Answers

[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]

whats the x and y-intercepts? y=5x−13,

Answers

Step-by-step explanation:

So in a linear function, it follows the form of y=mx+b where m is the slope of the graph (rise/run) and b is the y-intercept.  

Since b is (-13) that is the y-intercept.

This can also be confirmed by making x=0 since that is where the y-intercept occurs.

y=5x-13

y=5(0)-13

y=-13

To find the x-intercept, we need to make y equal zero since that is where x-intercepts are found.

0=5x-13

(now solve using algebra to isolate x)

(add 13 to both sides)

13=5x

(divide 5 from both sides)

13/5 = x

2.6=x

Your y-intercept is -13 and the x-intercept is 13/5.

Hope this Helps :D

Answer:

x-intercept: (2.6, 0) or  [tex](\frac{13}{5},0)[/tex]

y-intercept: (0, -13)

Step-by-step explanation:

Because the equation is written in slope-intercept form using the formula

[tex]y=mx+b[/tex]

b = y-intercept

y-intercept will be (0, -13)

To find x-intercept basically substitute 0 for y and solve for x

so x-intercept will be [tex](\frac{13}{5},0)[/tex] or simplified (2.6, 0)

Answer ASAP: log base 4 of 405

Answers

It is

4.330889048886

Given m∥n, find the value of x and y.(9x+19), (5x-7), (y-1)

Answers

Answer: Your x value would be 12 and your y value would be 128

X = 12

Y = 128

Lesson 6 Practice Problems
1. A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint.
The table shows different quantities of red
and white paint for the same shade of pink.
Complete the table.
white paint
(cups)
red paint
(cups)
4
3
1
1
4
5

Answers

Answer:

                               WHITE PAINT                                    PINK PAINT

                                       (CUPS)                                              (CUPS)

                                             4                                                         3        

                                            4/3                                                       1

                                            1                                                         3/4

                                            16/3                                                     4

                                             5                                                         15/4

-Lexi

terrell is going to the salem fair. it costs $5 to get into the fair and $.75 per ride. if he only has $20, how many rides can terrell ride?

Answers

After subtracting 5. We are left with 15 and if we divide 15 by 0.75 then we get 20 which should also be the amount of times he can ride.

solve for E, in S=E^2/Z

Answers

Answer:

E = √(SZ).

Step-by-step explanation:

S=E^2/Z

Multiply both sides by Z:

SZ = E^2

E = √(SZ)

In order to select new board members, the French club held an election. 70% of the 90 members of the club voted. How many members voted?

Answers

Answer:

63 members.

Step-by-step explanation:

70% of the votes means that every 100 people, 70 went to cast their ballot, or 7 every 10. Now in the club there are 9 groups of 10 people, so 9x7 = 63 people

tim drives at an average of 80km

Answers

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

HELP HELP HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

y is 3,hmmmmmmmmmmmmmmm......aha! x= 46! hope this helps!

Step-by-step explanation:

If you divied 5,500,000 divied by 8,800,000 what is the answer??

Answers

Answer:

0.625

Step-by-step explanation:

Just do, 5500000/8800000

Answer:

0.625

Step-by-step explanation:

Because I simplified the fraction

Jace wants to ride his bicycle 27.1 miles this week. He has already ridden 16 miles. If he rides for 3 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

Answers

Answer:

3.7 mi/day

Step-by-step explanation:

Subtracting 16 mi from 27.1 mi yields 11.1 mi to be covered in 3 additional  days.  The unit rate (number of miles per day) necessary for Jace to have ridden 27.1 miles total is 11.1 mi / 3 days = 3.7 mi/day

Riding 3.7 mi/day on each of the remaining 3 days would bring Jace's total miles up to 27.1 mi.

Determine whether the lines are parallel, intersect, or coincide y=-7x-+1 y=-7x-3

Answers

Answer:

Parallel

Step-by-step explanation:

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

Answers

Answer:

independent variable: the number of children

dependent variable: the cost of admission

rate of change: 11

Step-by-step explanation:

independent variable is what changes which in this case is the amount of children

dependent variable is the factor that changes because of the independent variable which in this case is the cost of admission

the rate of change is 11 because the cost of one kid would be $11

Plzzzz help meeee plzzzz

Answers

Answer:

i. 2040  ii.1632

Step-by-step explanation:

I think i did this right..

which ordered pair is a solution to the equation?

Answers

B bc I need points !
If you have the time, it is easiest to just plug in the first part of the coordinate pair (the x value) into the x variable into the equation,
and the y value into the y variable.
A. 10 = (-2/3)(-3/2) + 9
10 = (6/6) + 9
10 = 1 + 9
10 = 10
choice a is correct

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)











































(cAt)

Answers

Answer:

X = 2

equation x [tex]\leq[/tex] 2

Step-by-step explanation:

You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]

You do this because if you multiply 2*2x and 2*1 you will get 4x+2

Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]

So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like            [tex]2(2x+1)\leq 10[/tex]

So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]

you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5.         [tex]2x+1\leq 5[/tex]  

Now you subtract one from both sides    [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]

you'll get 2x=4

divide both sides by 2 to get x=2

To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]

[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]

since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation

Is 8 a unique solution to the equation 3(x-6) =

3x/4

Answers

Answer:

yes

Step-by-step explanation:

3(x - 6) = [tex]\frac{3x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

12(x - 6) = 3x , distribute left side

12x - 72 = 3x ( subtract 3x from both sides )

9x - 72 = 0 ( add 72 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

x = 8 is the only solution and is therefore unique

Answer:

8

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

y = 3x + 7.

Step-by-step explanation:

The slope = 6/2 = 3

y-intercept = 7.

Answer:

y = 3x + 7

Step-by-step explanation:

y-intercept = 7    {where the line intersect at y-axis (0,7)}

Plot a point:  (-1 ,4 )

Slope intercept form: y = mx + b

y = mx + 7

4 = m*(-1) + 7

4 = -m + 7

4 - 7 = -m

-m = -3

m = 3

y = 3x + 7

15
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
–3p +1/8 = -1/4
p=
Reset
Next

Answers

Answer:

[tex]p=\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]

Subtract [tex]\frac{1}{8}[/tex] from both sides:

[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:

[tex]-3p=-\frac{3}{8}[/tex]

Divide both sides by -3:

[tex]p=\frac{3}{24}[/tex]

Simplify:

[tex]p=\frac{1}{8}[/tex]

Find the measure of ∠3.





26°



64°



90°



116°

Answers

Answer:

90

Step-by-step explanation:

Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.

Answers

Answer:

Bridget was thinking of the number 592

correct??

Step-by-step explanation:

Please, If you can help i will be grateful and give brainliest.

Answers

Answer:

To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

[tex]y=x^2-x+1[/tex]

[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]

[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]

[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]

Nadia charges $7.00 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.70 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?​

Answers

Answer:

35

Step-by-step explanation:

19+19.50=38.5

38.5×7=269.5

269.5÷7.70=35