Mathematics College



In 2010 there were 2000 American lions in a conservation park in Wisconsin. The lion population is decreasing
by 8% every year. Which of the following functions models the lion population after x years?

In 2010 There Were 2000 American Lions In A Conservation Park In Wisconsin. The Lion Population Is Decreasingby

Answers

Answer 1

Step-by-step explanation:

After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.

Hence our exponential base should be 0.92, indicating exponential decay. (A)

Answer 2

Answer:

after each year the new population of the lions

is 100% - 8% is equals to 92% of the population of the lion year before

Hence our exponential base should be 0.92 (A)

Related Questions

Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Answers

Answer:

1,2,4

Step-by-step explanation:

I just took the test and got it right and its the only logical answer.

If ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Dilation of ShapesWhen a shape is dilated, the new image formed is similar to the original shape.Similar shapes have proportional side but congruent corresponding angles.

Thus, if ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Learn more about dilation on:

https://brainly.com/question/10253650

11.45 x 3.7 =
(step by step explanation pls) ​

Answers

11.45 x 3.7

= 42.365


11.45
x 3.7
—————
34350
8015
—————
42.365

Find what the value of x.
60
15
30
45

Answers

Answer:

ANS;;;; 45 ...........................

The answer is 45
Explanation: because the angle is a 90 degree angle and the line goes directly through the angle so you would divide 90 by 2 therefore getting 45

Snack Packets
Number
Cost
($)
2
1.60
3
2.40
5
4.00
8
6.40

Answers

One snack packet will cost 80 cents

Solve:
-11 2/3 x (-4 1/5)

Answers

Answer: 44 2/15

Step-by-step explanation:

Simplify the expression.
(-0.75x + 6 ) + (5.5x + 7.4)

Answers

answer: 4.75x + 13.4

LOOK AT PIC, ASAP, ROGHT ANSWER GETS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

The teacher has 7/8 pounds of clay given.

gives out 1/16 per station

7/8= 0.875 pound

7/8 / 1/16 pound= 14 maximum stations

14 stations divided by 2 classes = 7 in each room

Help Please!!! Find the slope.

Answers

Answer:

(-1,-1),(1,-4)

Step-by-step explanation:

it is the wright answer

Please Help! Very Urgent, i only have like half a hour. 20 points and brainiliest.

Answers

1; they are similar cause they both have right angles. 2; the same distance as DE.

Answer:

Yes, they are similar.

[tex]AB\approx 127.3947[/tex]

Step-by-step explanation:

Part 1)

Yes.

First, ∠D and ∠B are both right angles, so they are congruent.

Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.

Then by Angle-Angle Similarity, we acquire:

[tex]\Delta EDC\sim \Delta ABC[/tex]

Part 2)

The corresponding sides of similar triangles are proportional.

Therefore:

[tex]\displaystyle \frac{DE}{DC}=\frac{AB}{BC}[/tex]

By substitution:

[tex]\displaystyle \frac{103}{76}=\frac{AB}{94}[/tex]

Cross-multiply:

[tex]76AB=9682[/tex]

So:

[tex]AB=9682/76\approx127.3947[/tex]


Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 8?

Answers

Answer:

The function [tex]y = x[/tex] is shifted downwards by 8 units

Step-by-step explanation:

Given

[tex]y = x[/tex]

Required

Determine the transformation that gives: [tex]y = x-8[/tex]

When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b

In this case:

[tex]y = x[/tex]

[tex]b = 8[/tex]

So, the new function is:

[tex]y = x - b[/tex]

Substitute 8 for b

[tex]y = x - 8[/tex]

Hence, the function is shifted 8 units downward

What are the simplest polynomial and rational function you can imagine?

Answers

f(x) = 1/x

for rational function

PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST

Answers

Answer:

.

Step-by-step explanation:

5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?

Answers

Answer:

1:4:1.5

Step-by-step explanation:

Write 44% as a fraction in simplist form

Answers

Answer:

11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

44/100  →   22/50→   11/25

(-12/45)+15/35-12/45+15/35 slove step vise​

Answers

Answer:

[tex]\frac{35}{105}[/tex]

Step-by-step explanation:

Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.

Answers

A is your answer bc the -2 directly affects the x value and since its negative it will move left

Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

Please help me with this thank you!

Answers

Answer:

y = -x + 1

Step-by-step explanation:

y=mx+b

m:slope= rise/run, the line goes down 1 and over 1 so it would be -1/1 which is -1

b:y-intercept: the line crosses the y-axis at 1

plug in m=-1 and b=1 into y=mx+b

y=-1x+1

y=-x+1

PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n≠0
A) −m/n
B) m/−n
C) −m/−n
D) −(−m/−n)

Answers

The answer D seems to be correct
I was on Brainly and it is b

Find the value of x in this triangle​

Answers

Answer:

No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36

Guys help me please.
How to solve it?

Answers

i don’t have a calculator right now but a triangle always adds up to 180 degrees so yeah

Answer:

16.21 degrees

Please help me.
And explain how you got your answer please.

Answers

Percent error is found by (actual value-experimental value)/(actual value) and then multiplying by 100% to get the legend tags. So (206-195)/206=.05339=5.3%

so you would earn 1 point.

The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
equation represents how to find the length and the width?

Answers

Answer:

Length is 45cm and Breadth is 33cm

Step-by-step explanation:

Perimeter = 156cm

Let the length be x

Breadth = x-12

Perimter = 2(l+b)

156 = 2(x-12+x)

156 = 2(2x-12)

156 = 4x-24

156+25 = 4x

180 = 4x

180÷4 = x

45 = x

Therefore, length is x = 45cm and breadth is x-12 = 45-12 = 33cm

OUR EQUATIONS

LENGTH = x

BREADTH = x-12

PLZ MARK ME AS BRAINLIEST★

what is the value of (3.9*0.27)+/0.6724

Answers

Answer:

1.7254

Step-by-step explanation:

(3.9)(0.27)+0.6724

= 1.053+0.6724

= 1.7254

hope I helped!!

g(x)=1/6(8)^x-5. x=9​

Answers

Answer:

[tex]g(9) = \frac{2048}{3}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]x = 9[/tex]

Required

Solve

Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]

Remove bracket

[tex]g(9) = \frac{1}{6}* 8^4[/tex]

[tex]g(9) = \frac{1}{6}* 4096[/tex]

[tex]g(9) = \frac{1* 4096}{6}[/tex]

[tex]g(9) = \frac{4096}{6}[/tex]

Simplify fraction

[tex]g(9) = \frac{2048}{3}[/tex]

If the water flows at 3 gallons per minute.
how much water would be used in 30
minutes?

Answers

Answer:

90 gallons

Step-by-step explanation:

Answer:

90 gallons

Step-by-step explanation:

Helpp me pleaseee I need it?

Answers

Answer:

112 ft.

Step-by-step explanation:

This shape is a trapezoid. To find the area of a trapezoid, use the formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First find base one. The shape in the middle is a square, so the top side of the trapezoid will be worth 8 ft as well. Now add the two bases 8 + 20 to get 28 and then divide by 2 to get 14. Now multiply 14 by the height (8). 14 x 8 is 112 ft.

Hope it helps and is correct!

two actions that are inverses of each other and explain how one action "undoes" the other.

Answers

Answer:

jayfeather friend me

Step-by-step explanation:

The inverse functions “undo” each other, You can use composition of functions to verify that 2 functions are inverses. When you compose two inverses… the result is the input value of x. 3 3 g x x = Because f(g(x)) = g(f(x)) = x, they are inverses.

Find a, please do not guess or if your not sure. i need help not guesses for points. (it’s geometry)

Answers

Answer:

[tex]\huge\boxed{\boxed{a=6}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASequationtips and formulas:sin(30°)=½sin(x)=opp/hypolet's solve:

[tex] step - 1 : define[/tex]

[tex] \sin( {30}^{o} ) = \frac{a}{12} [/tex]

[tex] step - 2 : solve[/tex]

[tex] \tt substitute \: the \: value \: of \: \sin( {30}^{o} ) \\ \tt \frac{1}{2} = \frac{a}{12} [/tex][tex] \tt cross \: multiplication : \\ \tt2a = 12 [/tex][tex] \tt divide \: both \: sides \: by \: 2 : \\ \tt \frac{2a}{2} = \frac{12}{2} \\ \therefore a = 6[/tex]
a = 6 (making this longer lol)

8 4/5-2/3-______=3 1/10

Answers

Answer:

4 6/15

Step-by-step explanation:

The picture will give the explanation of why I see 4 6/15

Find the coordinate of the x intercept

Answers

Uhhhhhhhhhhhh you got a graph? You can also go on photo math and it should find it or go on desmos and find where it is or if it’s an equation you can plug it into desmos and it will find it for you
Just use Photomath. It will make your life easier
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