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

What is the value of x in the figure shown
URGENT PLS

Answers

Answer:

x is 19

Hope it helps!!!

Step-by-step explanation:

How do you solve:

g(x) = x - 2

( I think the answer is 2 but how?!)

Answers

Answer:

x-2 =0

x=2

Step-by-step explanation:

we take -2 to the anther side it becomes 2

Answer:

-2

Step-by-step explanation:

A function is a rule for working out the values y for the given values x

For example, h = 3x and y = x^2 are functions. The notation g(x) is read as g of x. g is the function. g(x) = 3x means the function of x is 3x

So, when solving to find the value of x, you must substitute x for any given value.

For example, f(x) = 10/x. Work out f(5), you must substitute the 5 into the denominatior of the fraction 10/x . This becomes 10/5, which equals to 2.

But for your question, to find the value of x, substitute x with 0

You end up with -2

Hope this helps

BtW. the above statements are just notes. i thought they might help.

Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
y=x+6
y=-2x+8
y=-2x+4
y=1/2x+4

Answers

Answer:

ehhehrjrh4h4hehejejru4u4u

omg I do not understand this

Answers

Answer:

missing length is 8

Step-by-step explanation:

17^2 - 15^2 = 64

square root of 64 is 8

Answer:

8 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a²+b²=c²

15²+b²=17²

225+b²=289

b²=64

b=8

Therefore, the missing side is 8 inches long.

6(x+4)+1= What is the answer to this great math problem

Answers

Answer:

6x+25

Step-by-step explanation:

Answer:

The simplified equation is 6x+25

Step-by-step explanation:

First, you open parentheses or in other words, use distributive property: 6*x+6*4+1. If you simplify that, you get 6x+24+1 which is basically 6x+25. So 6x+25 is your final answer.

The circumference of a circular field is 182.12 yards. What is the radius of the field

Answers

Answer:

Step-by-step explanation:

circumference=2πr

2 π r=184.12

π r=92.06

r=92.06/π≈29.30 yards

pls helppp! tysmmmm!!

Answers

I believe it would be 29 because a supplementary angle is 2 angles that equal 180 so I would think to do 189-151=29

Sophia has already scored 54 points, and she scores 23 more points with every coin she collects. After collecting a total of 2 coins, how many points will sophia have scored in all?

Answers

Answer:

100 points

Step-by-step explanation:

As it is mentioned that she has scored 54 points already and each coin has 23 points.

54+23+23 =100

SORRY IF WRONG

Thisssssssssssssssssssss one

Answers

no it is not a right triangle

Need help with exponential functions for a test!!!!!

The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?

1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24

Answers

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Hi, can someone please help me find the answer? There should be more than one and I would really appreciate it!

Answers

Answer:

A B C and F

Step-by-step explanation:

When one is over an exponent that means the exponent is negative. so then you find two exponents that equal -6 :)

The range of a data set is 14. If the smallest number in the set is 24.

What is the largest number?

Answers

the answer is 38. bc 24 + 14 is 38 which is the largest number. so 38-24 = 14 which is the range.

if (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?

Answers

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

Find the measure of the central angle of the circle if the Area of the sector is 120 square cm. and the radius is 6 cm.

a . ) 135
b . ) 120
c . ) 105
d . ) 85

explanations would be super
appreciated too

Answers

Wjwjjwjwkwoqowkms,skwoowlwlwkskkskskxkx181929292920001103

split 50 into the ratio 9:1 what is the answer​

Answers

Answer:

46

Step-by-step explanation:

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

To split the number 50 into a specific ratio, 9:1. This means we need to divide 50 into two parts, where one part is nine times larger than the other part.

To split 50 into the ratio 9:1, we need to divide the number 50 into two parts, let's call them "x" and "y." The ratio 9:1 tells us that one part is nine times larger than the other. So, we can express this relationship mathematically as:

x = 9y

Now, we know that the sum of the two parts, x and y, should add up to 50:

x + y = 50

Since we have an expression for "x" in terms of "y," we can substitute it into the second equation:

9y + y = 50

Now, let's combine the y terms:

10y = 50

Next, we isolate "y" by dividing both sides of the equation by 10:

y = 50 / 10

y = 5

Now that we've found the value of "y," we can use it to find "x" using the first equation:

x = 9 * 5

x = 45

So, the two parts are x = 45 and y = 5. We can verify that the ratio is indeed 9:1:

x / y = 45 / 5 = 9

And the sum of the two parts is:

45 + 5 = 50

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

In summary, to divide 50 into the ratio 9:1, we found that one part (x) is 45, and the other part (y) is 5. This satisfies the condition that one part is nine times larger than the other, and their sum is 50.

To know more about Ratio here

https://brainly.com/question/70116

#SPJ2

This quote came from _________. "He brought the cup to his lips and drank off the poison"

Answers

Answer:

Socrates

Step-by-step explanation:

−2.78 written as a mixed number?

Answers

Answer:

-2 39/50

Step-by-step explanation:

Have a good day

-2 78/100 or -2 39/50

James has a board that is 3/4 foot long he wants to cut the board into pieces that are each 1/8 foot long long division

Answers

Answer:

6 pieces can be cut out of the board

Step-by-step explanation:

The complete question is

James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can James cut from the board?

Solution

Given,

The total length of the board is equal to [tex]\frac{3}{4}[/tex] feet

Total number of pieces to made = X

Size of each piece that is cut from the board is [tex]\frac{1}{8}[/tex] feet long

Total number of pieces that can be cut from the board is equal to total size of board divided by size of each sub part

[tex]X = \frac{\frac{3}{4} }{\frac{1}{8} } \\X = \frac{3}{4} * \frac{8}{1} \\X = 3 * 2 \\X = 6[/tex]

Hence, 6 pieces can be cut out of the board

HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)

Answers

Answer:

should be A sorry if I'm wrong

PLEASE PLEASE PLEASE TELL ME HELP HELP

Answers

Answer:

78%

Step-by-step explanation:

Ok to solve this we can write this as

80 = [tex]\frac{73+82+85+83+x}{5}[/tex]

We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%

Your grade is the average of all of your scores hence the divided by 5

We next multiply both sides of the equation by 5 to get

400 = 72+82+85+83+x

400=  322+ x

78 = x

He must get a 78% minimum on his next test to get 80%

Hope that helps!

Need help with this question

2 + (4h- 1) = 13h

Need All Steps Plz

Answers

Answer and Step-by-step explanation:

For this equation, we are solving for h.

We are given the equation:

2 + 4h - 1 = 13h

First, we need to Simplify the equation.

2 - 1 + 4h = 13h

1 + 4h = 13h

Now, we need to Subtract 4h from both sides of the equation.

1 + 4h - 4h = 13h - 4h

1 = 9h

Finally, we Divide both sides by 9 to get h.

[tex]\frac{1}{9} = h[/tex]

h is equal to [tex]\frac{1}{9}[/tex].

To check your answer, we plug [tex]\frac{1}{9}[/tex] back into the given equation.

[tex]2 + 4(\frac{1}{9} ) - 1 = 13(\frac{1}{9} )\\\\\\\\2 + \frac{4}{9} -1 = \frac{13}{9} \\\\\\1 = \frac{9}{9} \\\\1 = 1[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

solve: log3(x)+log3(x-2)=log3(x+10)​

Answers

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

11.
Given that sin θ= √3 / 2, we want to find the value of cos θ.
First, find the value of θ.

Answers

See attachment for reply and answer.

Item 16 The solids are similar. Find the surface area S of the red solid. Round your answer to the nearest tenth.

Answers

reertttAnswer:

treryeryutruytruw

Step-by-step explanation:

tryutrytry

Sonny has $75 to spend the night the new Nintendo switch game that he wants to buy requires $93 his parents had they will lend him the money if he can figure out how much he needs which integer below represents how much more money does he need to borrow
-18
+168
+18
+75​

Answers

Answer:

he needs 18 more dollars from his parents

Step-by-step explanation:

93-75=18 therefore he is missing 18 dollars

HELP PLEASE!!!!
what is the midpoint of (-5,-5) and (-1, -1)

Answers

(-3,-3) is your answer please give brainliest!

Answer:

(-3,-3)

Step-by-step explanation:

Find the value of x.
10
11
12
13

Answers

Answer:

11=x

Step-by-step explanation:

Lines L and M are parallel find : m<2

Answers

Answer:

38 I believe let me know if I'm right

Step-by-step explanation:

...

Im pretty sure 38 is the answer

930-7.94*101+7.94
With Steps

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{930-7.94\times101+7.94}[/tex]

[tex]\mathsf{-7.94\times101 = \bf -801.94}[/tex]

[tex]\mathsf{= 930-801.94+7.94}[/tex]

[tex]\mathsf{930 - 801.94= \bf 128.06}[/tex]

[tex]\mathsf{= 128.06+7.94}[/tex]

[tex]\mathsf{= \bf 136}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 136}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Please help me,.........

Answers

Answer

19?

Step-by-step explanation:

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