In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t , the years since 1990. P = What does your model predict the moose population to be in 2007?

Answers

Answer 1

Answer:

Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)

The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.

Step-by-step explanation:

.


Related Questions

Find the value of b if ∛b = 2.
Question 17 options:
A) 4 B) 27 C) 16 D) 8

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) 8

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'b'...}}\\\\\sqrt[3]{b} =2\\--------------\\\rightarrow ( \sqrt[3]{b} )^3= 2^3\\\\\boxed{b = 8}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.

Answers

Answer: See the diagram below

Explanation:

In the LS column, you'll have these steps

3x - 1

3*4 - 1

12 - 1

11

Effectively, we replaced x with 4 and then simplified using PEMDAS.

And in the RS column, you'll have these steps

x + 7

4 + 7

11

We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7

Instructions: Find the missing side of the triangle.
25
20
х
X =

Answers

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 20² = 25²

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Tính nhẩm:
a, 138^2-38^2 b, (10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)
PLZZZ, giúp vs

Answers

Answer:

is there a question?

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(4, 2) \text{ and } (7, 6)
(4,2) and (7,6)

Answers

Answer:

( 5.5 , 4 )

Step-by-step explanation:

Use mid point formula shown in image

first x= (X+X)/2

x=(4+7)/2

x=11/2

x=5.5

y=(Y+Y)/2

y=(2+6)/2

y=8/2

y=4

(5.5,4)

Help asap struggling

Answers

Answer:

..D).... x = 8..

Step-by-step explanation:

..x = 8..

5k - 4p + 3k +2p
Please show working ​

Answers

Answer:

here

5k - 4p + 3k + 2p

=5k + 3k - 4p + 2p

=8k - 2p ans.

Answer: 8k -2p

Working:

= 5k - 4p + 3k + 2p

= 5k + 3k + 2p - 4p

= 8k - 2p

Answered by Gauthmath must click thanks and mark brainliest

Solid #1
SA= 539 cm?
V = 2058 cm
Solid #2
SA = 704 cm?
V?

Answers

Answer:

2688 cm³

Step-by-step explanation:

2058×704/539 = 2688 cm³

Factor the polynomial

Answers

Answer:

(x+8)(x+7)

Step-by-step explanation:

Find two numbers that add to

b

and mulitply to

a*c

so find two numbers that add to

15

and mulitply to

56

Those two numbers are 8 and 7

therefore the answer is

(x+8)(x+7)

(X + 7) (x + 8). You just take the multiples of 56 that equal 15

Solve for x 3x -y =12

Answers

Answer:

[tex]\displaystyle x= \frac{y + 12}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 3x - y = 12[/tex]

Step 2: Solve for x

[Addition Property of Equality] Add y on both sides:                                     [tex]\displaystyle 3x = 12 + y[/tex][Division Property of Equality] Divide 3 on both sides:                                  [tex]\displaystyle x = \frac{12 + y}{3}[/tex]

Answer:

x =  y + 12 / 3

Step-by-step explanation:

3x - y =12

3x = y + 12

x = y + 12 / 3

What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a

Answers

a=10 l=14total surface area of square pyramid = a^+2al =(10)^+2(10)(14) =100+20(14) =100+280 =380 cm^

last option is the correct one

the difference between 0.48 and 2.1​

Answers

Jzhzhsonvjsngosnvjsinf
Jzgusnnzoabuingjzbfsiib

Answer:

0.48 is ......

[tex]0.48 < 2.1[/tex]

HELP ME WITH THIS PLS IM FAILING REALLY BAD ITS PYTHAGOREAN THEOREM

Answers

Answer:

50 km

Step-by-step explanation:

c = √a^2+b^2

=√30^2+40^2

= √900 + 1600

=√2500

= 50 km

Answer:

50km

Step-by-step explanation:

Chen I’d bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cat fruit. The food cost is molded by the equation 5v + 7f = 28.70, where V represents the cost of 1 pint of cut veggies and F represents the cost of one pint of grapefruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent, as needed)

Answers

Answer:

answer to that is A 1.75 per pint

find A={a,b,c} then find A*A.​

Answers

Assuming you want to do a cartesian product, then you basically form items (x,y)  such that x is in set A, and y is in set A

More generally, A * B will consist of items of the form (x,y) such that x is in A and y is in B. However, we have B = A.

So,

A * A = {

(a,a), (a,b), (a,c)

(b,a), (b,b), (b,c)

(c,a), (c,b), (c,c)

}

I broke things up into separate rows to show that we can form a 3x3 table. Each row is a different x value from the set {a,b,c}. Each column is a different y value from the set {a,b,c}

In my opinion, this helps organize things much better than rather have it all on one single line like this

A * A = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c), (c,a), (c,b), (c,c) }

which in all honesty looks like a bit of a cluttered mess.

Answer:

Step-by-step explanation:

A={a,b,c}

A×A={a×a,a×b,a×c,b×a,b×b,b×c,c×a,c×b,c×c}

find the area of the circle pi equals 3.14 and there's a radius of 16.
[tex]a = nr^{2} [/tex]
Radius is 16. DO NOT ROUND​

Answers

Answer:

A = 803.84

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Circle Formula: A = πr²

r is radius

Step-by-step explanation:

Step 1: Define

Identify

r = 16

Step 2: Find Area

Substitute in variables [Area of a Circle Formula]:                                         A = (3.14)(16)²Evaluate:                                                                                                           A = 803.84

will mark brainliest!!

picture included ^^^^

please and THANK YOU


^^!!

Answers

Answer:   choice D) 11.7

============================================

Work Shown:

Apply the Law of Sines to get the following. Make sure your calculator is in degree mode.

[tex]\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a}=\frac{\sin(C)}{c}\\\\\frac{\sin(20)}{4}=\frac{\sin(87)}{c}\\\\c*\sin(20)=4*\sin(87)\\\\c=\frac{4*\sin(87)}{\sin(20)}\\\\c\approx 11.6791897\\\\c\approx 11.7\\\\[/tex]

So that's why the answer is choice D) 11.7

Determine the LCM of the following monomials listed below.

Answers

[tex]\boxed{\sf 60x^6y^4}[/tex]

Option d is correct

4. Find the center and radius of the circle given by this equation: x2 – 8x + y2 + 4y - 16 = 0

Answers

Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x  + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

Help anyone can help me do this question,I will mark brainlest.​

Answers

Step-by-step explanation:

we first find area of the whole shape outer core which is

we use the fomulae of a circle 22/7 represent pie

=1/2 *22/7*8,5

=13,36

then we find the inner core of the shape which is

1/2*22/7*5,5

=8,64

then we substracte to get the shaded part 13,36-8,64

=4,72cm

Answer:

≈ 16.5 cm²

Step-by-step explanation:

The area of the bar (A) is

(area of outer circle - area of inner circle) ÷ 2

r₂ = 8.5 ÷ 2 = 4.25 , r₁ = 5.5 ÷ 2 = 2.75 , then

A = (πr₂² - πr₁²) ÷ 2

   = (π(r₂² - r₁²) ) ÷ 2

   = (π(4.25² - 2.75²) ) ÷ 2

   = (π(18.0625 - 7.5625) ) ÷ 2

   = (10.5π)÷ 2

   ≈ 16.5 cm² ( to the nearest tenth )

Which of the following should be the y-coordinate of left parenthesis (5,__) so that the ordered pair is a solution of 4x - y= -10

Answers

Answer:

y = 30

Step-by-step explanation:

Substitute x = 5 into the equation and solve for y

4(5) - y = - 10

20 - y = - 10 ( subtract 20 from both sides )

- y = - 30 ( multiply both sides by - 1 )

y = 30

Then (5, 30 ) is a solution of the equation

Rewrite in simplest terms (-9x-2y)+(4x-5y)

Answers

Answer:

-5x - 7y

Step-by-step explanation:

-5x - 7y is the simplified answer to this question. Pls leave a thanks!

Solve the following for the value of the pro-numeral:
(c - 7) / 2 = -5

Answers

Answer:

[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]

I hope I helped you^_^

1.Evaluate

a.(243/32)^-0.4​

Answers

Answer:

4/9

Step-by-step explanation:

negative exponent means 1/...

so, this is

(32/243)^(4/10) = (32/243)^(2/5)

that means to the power of 2 and then pulling the 5th root.

so, let's pull the 5th root first, and then we square

(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9


1. Find the probability of picking a yellow marble and an orange
marble when 2 marbles are picked (without replacement)
from a bag containing 2 yellow and 4 orange marbles

Answers

Answer:

4/15

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the bag contains 2 yellow and 4 orange marbles, the probability of picking a

Yellow marble = 2/(2+4) = 2/6

Orange marble = 4/(2+4) = 4/6

The probability of picking a yellow marble and an orange  marble without replacement

= 2/6 * 4/5

= 8/30

= 4/15

Find the value of 4 tenths x hundreds.
4000
400
40
4

Answers

the value of 4 tenths x hundreds.

4000

Answer:

40

Step-by-step explanation:

4/10 x 100 = 40

What is equivalent to 1/6

Answers

Answer:

0.16666...

6/36

2/12

3/18

4/24

5/30

There's a lot of things.

solve for x.
solve for x.
solve for x.

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ([tex]inside[/tex]) refer to the part of the secant that is inside the circle, and ([tex]outside[/tex]) refer to the part that is outside of it. ([tex]total[/tex]) will refer to the entirety of the secant or ([tex]inside+outside[/tex]). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.

[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]

Substitute,

[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]

[tex](outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)[/tex]

[tex](6)(6+x+5)=(7)(7+x+1)[/tex]

Simplify,

[tex](6)(6+x+5)=(7)(7+x+1)[/tex]

[tex]6(x+11)=7(x+8)[/tex]

[tex]6x+66=7x+56[/tex]

Inverse operations,

[tex]6x+66=7x+56[/tex]

[tex]66=x+56[/tex]

[tex]10=x[/tex]

43. Para determinar la altura de un árbol nos apoyamos en los siguientes triángulos semejantes que se forman entre el árbol y

una lámpara

00

D

*ACB= 30°

3m

E

20 m

5 m

¿Cuál es la altura del árbol?

ООО

A. BA = 12 m

B. BA = 15 m

C. BA = 33.33 m

D. BA = 60 m

O

Answers

Respuesta:

A.) BA = 12 m

Explicación paso a paso:

Usando triángulos similares:

BA / AC = DE / EC

BA = x; AC = 20; DE = 3; EC = 5

POR ESO ; TENEMOS :

x / 20 = 3/5

Multiplicar en cruz:

5 * x = 20 * 3

5 veces = 60

5x / 5 = 60/5

x = 12

Which polynomial is a binomial?

Answers

A is a binomial since it has only 2 values
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