4 A group of 40 mountain goats has just been
transplanted to an area with the expectation
their population will increase exponentially by
30% each year. If f(x) represents their total
population and x is the number of years in the
future, which function models the situation?

Answers

Answer 1

Answer:

f(x) = 40 × (1.3)ˣ

Step-by-step explanation:

4. The given parameters of the population of mountain goats are;

The initial number of mountain goats, a = 40

The rate at which their population will increase, r = 30% = 0.3 exponentially

The total population after 'x' years is given by f(x)

For exponential growth, we have;

f(x) = a·(1 + r)ˣ

Plugging in the values, we get;

f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ


Related Questions

Write the equation of the line passing through
(4,9) and (1, 18)

Answers

Answer:.

Step-by-step explanation:

Answer:

Im guessing this is for a coordinate plane

Tommy was at school which is located at (4,9) how many square units or blocks does he need to walk to get home?(his home is located at 1,18)

Step-by-step explanation:

Hope this help and have a great day! <3

Math help help please

Answers

Answer is 5,004,300

Answer:

5,000,000+4,000+300=5,004,300

Step-by-step explanation:

hope this helps

An emergency fund is defined as a savings account that has a balance equal to at least two months' living
expenses. An article in a financial magazine claims that 80% of American adults do not have an emergency fund.
To investigate this claim, a financial advisor selects a random sample of 150 American adults and finds that 112 do
not have an emergency fund. The financial advisor would like to know if the data provide convincing evidence that
the true proportion of Americans who do not have an emergency fund is less than 80%. What are the appropriate
hypotheses for this test?

Answers

Answer:

a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund

The appropriate hypotheses for this test are:

H0: p ≥ 0.80

Ha: p < 0.80

We have,

The appropriate hypotheses for this test are:

Null Hypothesis (H0):

The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.

Alternative Hypothesis (Ha):

The true proportion of Americans who do not have an emergency fund is less than 80%.

Symbolically, the hypotheses can be represented as:

H0: p ≥ 0.80

Ha: p < 0.80

Where p is the true proportion of American adults who do not have an emergency fund.

To determine whether the data provide convincing evidence against the null hypothesis,

We can conduct a hypothesis test using a significance level (alpha) of 0.05.

If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.

Thus,

H0: p ≥ 0.80

Ha: p < 0.80 are the appropriate hypotheses for this test.

Learn more about hypotheses here:

https://brainly.com/question/28331914

#SPJ2

Destiny has a bag with 3 green, 4 red, and 5 blue marbles. Destiny will pick 2 marbles from the bag, one at a time without looking. She will not replace a marble before picking the next marble. What is the probability of Destiny picking a red marble, followed by a green marble?

A. 1/12
B. 1/11
C. 7/12
D. 1/2

Answers

There are 4+3+5=12 marbles in the bag.
Let’s find how many green and red balls are in the bag. 4+3=7
So that means the probability of picking a red marble followed by a green marble is 7/12 (C)

Sharon skated for 6 2/3 hours last month and 2 2/3 hours this month. How many hours did Sharon skate in all?

Answers

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).​

Answers

Answer: (-3,-6)

Step-by-step explanation:

prove that underroot 3-underroot 5 is irrational.​
Please quickly I need this answer

Answers

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

The measure of c is _____

3 squared 5
9 squared 5
3 squared 13
5 squared 3

Answers

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?

(Complex fractions)

Answers

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

2 miles in one hour

Please help with graphing please

Answers

The solution is (3,4). It’s where the lines intersect

Which one would it be?

Answers

Answer:

424

Step-by-step explanation:

If y = 424

and x is the number that exists as x already

y would equal to: 424

y equals to 424, so therefore the answer should be 424

Can someone help me with this and explain it?

Answers

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Mhanifa please help this is my last one !

Answers

Answer:

9)

7.7/3.6 = 2.3/b b = 2.3*3.6/7.7b = 1.08

10)

v/4.9 = 5.4/6.1v = 4.9*5.4/6.1v = 4.34

11)

6.3/x = 2.56/9.3x = 6.3*9.3/2.56x = 22.89

12)

3.4/x = 2.17/7.7x = 3.4*7.7/2.17x = 12.06

Use the following numbers, 4, 30, and 21 to create an equation equal to 1. You may only use each number once. You can use any operation you want to.

Answers

Answer:

sqrt(30-21)-sqrt(4)=1

Step-by-step explanation:

I found that sqrt(30-21)-sqrt(4)=1 since sqrt(30-21)=sqrt(9)=3 and sqrt(4)=2 so 3-2=1

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

Answers

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

Please stop scrolling help please

Answers

Answer:

Yellow

Step-by-step explanation:

The answer would be yellow since there are 45 yellow and thats the most so that will be the best chance

Help plz and the first and second options are.
First : any side,any two side,any three side
Second: less the. 90 degrees,greater then 90 and exactly 90

Answers

First: Two Sides
Second: Exactly 90°

josh put some water into his empty swimming pool on Monday then he put an equal amount of water in the pool on Tuesday the pool was then 3/4 full of water how fuel was the swimming pool after josh put the water in on Monday

Answers

Answer:

3/8

Step-by-step explanation:

since you can't have 1.5/4, which was how much he Josh put on each day, you have to multiply the denominator and the numerator for a more complex fraction. So 1.5/4 x 2 for both = 3/8.

Which diagram is not show as a function​

Answers

9514 1404 393

Answer:

  d

Step-by-step explanation:

A relation is NOT a function if the same input value maps to multiple output values.

Any relation that has an input with multiple arrows from it is not a functional relation. The diagram below is NOT a function.

Please helpp ASAP

100 points extra and brainleist

Answers

Step-by-step explanation:

C and D are the correct objectives

What is the height of the token?

A.
B.
C.
D.

Answers

Answer:

c. 5cm

Step-by-step explanation:

25=½(3+7)*h

25*2=10*h

50/10=h

5cm =h

need help pls and thank you​

Answers

Answer:

[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

ercise 5d
lve the following
lutions.
13 - 6a = 1


Answers

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Based on the given information, which of these are true? Choose ALL that are correct

Answers

Cos Y= e/f and Sin B= n/p

How do you solve this ? ​

Answers

Angles D and E are equal to 80.
Angles B and C are equal to 80.
The shape is equal to 360 degrees.
We have D is 153 to find E subtract 180 from 153 to get 27.
To find C subtract 180 from 97 to get 83.

The prices of different brands of eggs are given below.

Brand Price
A $1.99
B $1.79
C $1.89
D $3.59
E $1.89
F $1.89

Mrs. Silvio decided that she is most likely to spend $2.17 on eggs because this is the mean. Is Mrs. Silvio's reasoning correct?
A. No, Mrs. Silvio should have used $3.59 because it is the highest value given.
B. No, Mrs. Silvio should have used $1.80 because it is the range of the prices and is not affect by Brand D.
C. No, Mrs. Silvio should have used $1.89 because it is the mode and is not affected
by Brand D.
D. Yes, Mrs. Silvio is correct.

Answers

Answer:

C. No, Mrs. Silvio should have used $1.89 because it is the mode and is not affected by Brand D.

Step-by-step explanation:

The mode in a set of numbers is the most common, so If you bought eggs, the most common would be $1.89

what is the circumfrence of a circle with a radius of 4 inches. Use 3.14 for pi.

Answers

Answer:

25.12 in.

Step-by-step explanation:

Circumference formula: pi*2*radius

radius=4, so

3.14*2*4=25.12

PLEASE HELP!! ILL MARK BRAINLYEST!!

Evaluate 6C2 .

120
15
720
30

Answers

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT


through: (-5, 4), slope =-3/5

Answers

Answer:

y - 4 = (-3/5)(x + 5)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h)

Here, y - 4 = (-3/5)(x + 5)

i wish i knew this problem

classify the type polynomial 11x+20​

Answers

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Hmm I’m almost done it for you hold up
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