Find the equation of the exponential function that passes through the points (- 1, 1/6) and (1, 2/3) and Use the form y = c * a ^ x and show how you find the values of and a. Show all work , not just the final equation.

Will give Brainliest to the right answer with steps

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

9514 1404 393

Answer:

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°

Answer:

2)

[tex]2x + 6x + 8 = 32[/tex]

collect like terms

[tex]8x + 8 = 32[/tex]

move the constant to the right hand side and change its sign.

[tex]8x = 32 - 8[/tex]

Subtract the numbers

[tex]8x = 24[/tex]

Divide both sides of the equation by 8

[tex]x = 3[/tex]

Answer:

8% per year

Step-by-step explanation:

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

Answer:

6-18y-9x

Step-by-step explanation:

Answer:(6, 5)

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Answer: 2 2/5 is answer decimal answer is 2.4

Step-by-step explanation:

hope this helpss!!

Answer:So you would start with 40/n because quotient means division and then it would be (40/n) - 13  (40 divided by n then minus 13) because the answer is thirteen less than the quotient of those numbers. since it wants you to evaluate for n=2 you would do 40/2 which is 20 then subtract 13 which is 7.

So write the expression as (40/n) -13 and when you evaluate just stick the 2 where the n is for (40/2) - 13

                               20 - 13

                                  = 7

Step-by-step explanation: HOPE THAT THIS WILL HELP YOU ❤️

Answer:

Here's an answer I used <3

Explanation:

You would then get to 40/n because quotient means division, then 40/n-13 because the outcome is 13 below the quotient. You can divide 40 by 20 to get 20, then 13 to get 7 because it asks you to test n=2.

Answer:

x=79,y=63 I have solve it in above picture

Answer:

Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.

Step-by-step explanation:

Answer:

1. you use it to calculate time (managing your day)

2. you use it while driving (use in angles and degrees)

3. you use it while drawing (again, use in angles and degrees)

4. you use it while cooking

5. you use it while banking (financial help)

Step-by-step explanation:

hope this helps:) please mark brainliest

Answer:

true

Step-by-step explanation:

Answer: 2n > -15

Step-by-step explanation:

We can use the variable n to show the unknown number.

It says that there is twice a number, meaning two of an unknown number. We can show it by using the term 2n.

It also states that 2n is greater than -15. Because of that, we can use the equation 2n > -15, to show that 2n is greater than -15.

(Quick note: The variable n just represents the unknown number, you can subsitutue any variable into its place.)

The Inequality that shows seven more than twice a number is greater than negative fifteen is; 2n > -15

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We can consider the variable n to show the unknown number.

That says, there is twice a number, meaning two of an unknown number. We can show it by using the term "2n".

It states that seven more than twice a number is greater than negative fifteen

MEans 2n is greater than -15.

we can use the equation 2n > -15, to show that 2n is greater than -15.

Learn more about inequality ;

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2× - sin (×), √2xtg × ≈ 1 =

Multiply on the right by the transpose of the matrix on the left side:

[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}[/tex]

[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top[/tex]

The transpose is just the same matrix with the entries reflected along the main diagonal:

[tex]\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]

So

[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]

[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}[/tex]

Now multiply on the right by the inverse of the matrix on the left side:

[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]

[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]

The inverse is

[tex]\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\frac1{60-25}\begin{bmatrix}10&-5\\-5&6\end{bmatrix}=\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}[/tex]

So

[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}=\boxed{\begin{bmatrix}1&-2\\2&1\end{bmatrix}}[/tex]

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

Answer:

32

Step-by-step explanation:

4 to the third power is 64

(7-3) = 4

*2

64/4*2 = 32

Hope this helps

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

Answer:

0.5

planation:

9/18  = 0.5

If you write the problem out x will represent the missing number

9 ÷ x = 18

You can write it as 9 ÷ 18

which is 0.5

The problem is asking what is 9 divided by to get 18

162 . . . . . . . . . . . . . . . . . .

Answer:

La D

Step-by-step explanation:

porque la variable de divide

Answer:

Step-by-step explanation:

An equation is like a sentence, just using a different language. Mathematical equations are telling you to do something, giving you information on how to respond, or come up with an answer. It's up to you to learn this language. However, once you know it, you can write in this language! You, too, can write algebraic equations.

Parts of a Mathematical Equation

A mathematical equation, also known as a statement, shows that two separate expressions are equal. The two expressions are usually connected by the "equal-to" (=) sign. You can find the expressions in a mathematical statement by looking at the left-hand side and the right-hand side of the equation, using the = sign as the point of reference.

Example: 2x + 3 = 11

It can be helpful to view equations as a scale in which weights are used to keep it balanced. The scale is balanced when what is placed on the right-hand side is equal in weight to what is on the left-hand side. Solving an equation can also be thought of in terms of adding weight to the left or right-hand side of the scale to balance it out.

Finding the solution to the equation involves manipulating the weights. Whatever is done on the right-hand side of the scale must also be done on the left-hand side to keep the scale balanced.

Your tools for this happen to be, most commonly, addition, subtraction, multiplication, or division.

Answer:

An equation uses symbols and numbers there are SO many equations you could make for example an easy one 6 x 5 = 30 there are two numbers you multiply to get a product. Whenever you write an equation you always put an equal sign which is this: = . This shows what you get from the equation. There are main parts the =, +, -, x, ÷ . All represent what you do to the two numbers you put on both sides of it.

Answer:

7/4!

Step-by-step explanation:

I think?

Answer:

0.7

Step-by-step explanation:

49 out of 63 so it is 49/63 which is 0.7777 inf

Answer:

6.8

Step-by-step explanation:

(2/5)*17

=6.8

Answer:

the answer is 6.8

Step-by-step explanation:

2                  17

---     x          -------- =      34

5                      1               ------  

                                            5

34 divided by 5 = 6.8

hope this helped have a great day.

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

Answer:

15 hope this helps!!!!

Step-by-step explanation:

Answer:

16 boxes will be needed for 122 books.

Step-by-step explanation:

Given that,

Each box can hold 8 books.

We need to find the number of boxes needed for 122 books. It can be calculated as follows :

[tex]\dfrac{122}{8}[/tex] = 15.25

It means 15 boxes can be filled and 16 boxes will be needed for 122 books.