An animal reserve has 20,000 elk. The
population is increasing at a rate of 8% per
year. There is a concern that the food will be
scarce when the population doubles. How
long will it take for the population to reach
40,000. Show and explain your work.

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

Answer:

17 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

33 is the highest subtracted by 16 which is the lowest to get 17

Answer:

The mode is 75

Step-by-step explanation:

75

Hope this helped you !

Answer:

1 / 2704

Step-by-step explanation:

Number of cards in a deck = 52

9 of clubs in a deck = 1

10 of clubs in a deck = 1

Probability = required outcome / Total possible outcomes

P(9 of club) = 1 / 52

With replacement ;

Then ;

P(10 of club) = 1 / 52

Hence,

P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704

Answer:

339.290

Step-by-step explanation:

by using the formula for surface area of cylinder that is 2πrh+2πr^2

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

Answer: A^2

Step-by-step explanation:

Angle C + Angle B = Angle A

Answer:

in the middle of 2011 and 2012

Step-by-step explanation:

but I'm pretty sure you still picked mathematics instead of English

Answer:

Competitions and 20ll

Step-by-step explanation:

Always put a comma before anything starting with and, so, but, yet etc.

Answer:

27.04 per dress

Step-by-step explanation:

120 - 11.84 = 108.16

108.16 ÷ 4 = 27.04

Answer:

13

Step-by-step explanation:

Angles ( 12x - 29 ) and ( 4x + 1 ) are co - interior angles.

Sum of co - interior angles is supplementary.

12x - 29 + 4x + 1 = 180

12x + 4x - 29 + 1 = 180

16x - 28 = 180

16x = 180 + 28

16x = 208

x = 208 / 16

x = 13

Answer:

m = 3/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point G(-2, 3)

Point H(1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Line GH

Perpendicular line

Answer:

2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

good luck you got this

Step-by-step explanation:

60+5x+5=180 (being angle of straight line)

5x+65=180

5x=180-65

5x=115

x=23

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

[tex]T_n=a_1(r)^{n-1}[/tex]

Here, [tex]a_1=[/tex] First term

[tex]r=[/tex] common ratio

[tex]n=[/tex] number of terms

If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]

Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]

[tex]r=\frac{9}{18}[/tex]

[tex]r=\frac{1}{2}[/tex]

By substituting these values in the formula,

[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]

Therefore, Option E is the answer.

the triangles are similar because of SSS

Answer:

11 and -11

Step-by-step explanation:

Answer:

[tex]19.5\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex], where [tex]s[/tex] is the base edge and [tex]h[/tex] is the height. Since the base area ([tex]s^2[/tex]) is already given to us, we can substitute directly in to our equation.

Solving for [tex]V[/tex]:

[tex]V=\frac{1}{3}\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}[/tex]

The answer on deltamath is

19.5m^3

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

-x +2y= 3 -----(2)

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

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

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

Answer:

3.85×10³ in ordinary form

= 3850​

Step-by-step explanation:

Answer:

3850

Step-by-step explanation:

.......................

...

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

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

Explanation:

He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards

We can think of it like this:

So that's another way to see where the 25w comes from.

The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.

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

Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.

That's how we get to the answer of 25w+200 > 750

Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.

Answer:

255   as written

200   if as intended

Step-by-step explanation:

As written

56 + 7 + 3y³

63 + 3(4³)

63 + 3(64)

63 + 192

255

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

If you intended

56 / 7 + 3y³

8 + 192

200

Answer:

8÷4+7-3 =6

8÷4+2-1 =3

6÷2+5-1 = 7

5÷1+6-2= 9

0÷5+4+3= 1

(1) The missing numbers are 2 and 5

(2) The missing numbers are 4 and 0

(3) The missing numbers are 6 and 8

(4) The missing numbers are 1 and 9

(5) The missing numbers are 7 and 3

The solution to the given problem is as follows;

In order of mathematical operation, we resolve division first before addition and finally subtraction.

In this problem we are to choose numbers from 0 to 9 and assume that no number will be repeated.

(1) (8 ÷ 2) + (5 - 3) = 6

⇒  4 + 2 = 6

so the missing numbers are 2 and 5

(2) (4 ÷ 4) + (2 - 0)= 3

⇒  1   +  2  = 3

so the missing numbers are 4 and 0

(3) (6 ÷ 2) + (6 - 1) = 8

⇒ 3 + 5 = 8

so the missing numbers are 6 and 8

(4) (5 ÷ 1) + (6 - 1) = 9

so the missing numbers are 1 and 9

(5)  (0 ÷ 7) + (4 - 3) = 1

so the missing numbers are 7 and 3

Thus, all the numbers from 0 to 9 have been used and non was repeated.

Learn more here: https://brainly.com/question/1871940

the answer is- I can't even. I think lol

As solving more complex problems involves a degree of planning as to how you will arrive at the answer, dyspraxic learners may find it difficult to get started. They can also struggle with the sequence of steps and correct order of operations in math. Attention difficulties can affect math skills in a number of ways.

Answer:

31

Step-by-step explanation:

Answer:

Becuse thats what my calculator says

Step-by-step explanation:

Answer:

-21 is behind zero and 21 is above zero when adding the -21 tot he 21 you get 0 in other words they are equivalent numbers it would be the same it it were -19 and 19

Answer:

height

Step-by-step explanation:

you can just look these questions up

Answer:

50%

Step-by-step explanation:

ok so

leave y^2 alone

so you need to get 2 factors that when added equal 11 so 9x2=18

and 9+2=11

so it would be (y+9)(y+2)

hope this helps

Answer:

Step-by-step explanation:

(x + 9 ) ( x + 2 )