the number of fish in a lake decreasing by 400 every year,as described by the function below. f(1)=8200 f(n+1)=f(n)-400 what will be the value

Answers

Answer 1

The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

Where [tex]\mathbf{f(1) = 8200}[/tex]

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

So, we have:

[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]

Add 1 and 1

[tex]\mathbf{f(2) = f(1) - 400}[/tex]

Substitute 8200 for f(1)

[tex]\mathbf{f(2) = 8200 - 400}[/tex]

Subtract

[tex]\mathbf{f(2) = 7800}[/tex]

Hence, the value of f(2) is 7800

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Related Questions

Mr. discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for second nine weeks he would add 4% to their final test if he determines the score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have a A?

Answers

you would have to do very good on it so try 4 questions

A student must answer at least 35 of the 40 homework assignments correctly to get an A.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.

If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:

2x + 4% × 50 = 100, where x is the number of correct problems.

If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:

2x + 4% × 50 ≥ 90

Substituting 4% for 0.04, we get:

2x + 0.0450 ≥ 90

Solving for x, we find:

x ≥ 35

Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.

Learn more about the inequalities here:

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#SPJ2

Can you help me on this ?

Answers

Answer:

what one?

Step-by-step explanation:

50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
A) 2
B) 4
C) 2k
D) 4k

Answers

Answer:

The greatest common factor of 4k, 18k4, and 12 is 2.

Answer A 2

Hope this helps

expand and simplify 3(x+3) - 2(x+2)

Answers

Step-by-step explanation:

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

3x + 9 - 2x - 4 =

x + 5

always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :

++ = +

+- = -

-+ = -

-- = +

Find the perimeter. Simplify your answer.

Answers

Answer:

16c-6

Step-by-step explanation:

(7c-6)+(6c-10)+(3c+10)=?

7c-6+6c-10+3c+10=?

Collect like terms.

16c-6-10+10

Add and subtract.

16c-6

Hope this helps :)

Find the perimeter. Simplify your answer.

Answers

Answer:

Step-by-step explanation:

let :

a= 8u+1

b=8u+1

c=5

perimeter=a+b+c

perimeter=8u+1+8u+1+5

perimeter=16u+7 units

Answer:

16u+7

Step-by-step explanation:

isosceles triangle has two sides equal. 2(one of the sides)+the base(5)

Help please anyone!!!!!!

Answers

Answer:

[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]

Step-by-step explanation:

The first thing that can help you here is factoring every term.

[tex]p^2-4p-12[/tex]

Factor.

[tex](p-6)(p+2)[/tex]

[tex]6p+12[/tex]

Factor.

[tex]6(p+2)[/tex]

18p

Factor, keeping in mind the denominator of the other term.

[tex]6(3p)[/tex]

[tex]p^2-9p+18[/tex]

Factor.

[tex](p-6)(p-3)[/tex]

Now you have simplified your original problem:

[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]

into:

[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]

Now, after multiplying the numerator and denominator of the fractions:

[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]

Then, you can simplify the fraction by cancelling terms:

[tex]\frac{3p}{p-3}[/tex]

Hope it helps :) and let me know if you want me to elaborate.

PLZZZ HELPPPP MEEEEEEE​

Answers

Step-by-step explanation:

I can help you, but first make me brainliest

xxdrddddfffffdxfddsdddqqwedaqwwssde

Answers

Answer:

B

Step-by-step explanation:

(5x - 2)² + 35x - 14 = - 12 ( factor out 7 from each term in 35x - 14 )

(5x - 2)² + 7(5x - 2) = - 12 ( add 12 to both sides )

(5x - 2)² + 7(5x - 2) + 12 = 0

Substitute m = 5x - 2 into the equation then in terms of m, the equation is

m² + 7m + 12 = 0 → B

Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT​

Answers

Answer:

the answer would be c brainlest if right :0

Step-by-step explanation:

Hello!

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

I presume the answer is Option C.

It's much easier to evaluate this expression than the other ones.

Hope it helps!

~SparklingFlower

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

How do you find the slope of a line.

Answers

Finding the rise and the run

does the point (5 6) satisfy the equation y = 2x - 7

Answers

Answer: No

Step-by-step explanation: To determine this, all we have to is plug our ordered pair into the equation for x and y.

Remeber that the first number is our x-coordinate and our second

number is our y-coordinate so we plug a 5 in for x and a 6 in for y.

So we have (6) = 2(5) + 7 or 6 = 10 + 7 or 6 = 17.

Since this is not a true statement, this point doesn’t satisfy the equation.

Philip currently has $450 in his checking account. Each month Netflix withdraws $15 for dues. Which equation can be used to find y, the current amount in Philip's checking account after x number of months?

Answers

The answer is 30 I’m 100% right

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,10,13,...

Find the 33rd term.

Answers

The 33rd term of the arithmetic sequence, 7,10,13.... is: 103

Recall:

An arithmetic sequence has a common difference, d, which is the difference between consecutive terms.nth term of an arithmetic sequence is found using: an = a + (n - 1)d, where, a is the first term and  d is the common difference.

The sequence, 7,10,13,... is an arithmetic sequence because:

13 - 10 = 10 - 7 = 3

Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.

Thus:

[tex]a_{33[/tex] = 7 + (33 - 1)3

[tex]a_{33[/tex] = 7 + (32)3

[tex]a_{33[/tex] = 103.

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pls help me with these 2 questions​

Answers

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

Solve for b: A = 1 2 (a + b)h.

Answers

Answer:UwU

Step-by-step explanation:


2) State the area of the given triangle.
9
4
5
12
A) 24 square units
B) 36 square units
48 square units
D) 60 square units

Answers

Answer:

i'm pretty sure its 36 aka b

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

took on k12

A chest shaped as a rectangular prism can hold 432 wooden cube blocks with edge lengths of 13 ft. What is the volume of the chest? Enter your answer in the box.

Answers

Not too sure but I think you need to find the volume of each cube and the times it by 432
So
13 x 13 x 13 and then that X by 432

Answer:

i believe it is 16

Step-by-step explanation:

help me brain pt Part 5

Answers

Answer is A. Adjacent

Find the area of the surface generated by revolving x = t y = t^2 1 ≤ t ≤ 2 around the y-axis

Answers

Answer:

4^22x

Step-by-step explanation:

answer is 4^22x (sorry it’s late)

A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is

Answers

Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into  [tex]K(x)= 2x^2 -5x +3[/tex].

Thus, substitute:

[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]

Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Learn more here:

https://brainly.com/question/19027807

Find the perimeter. Simplify your answer.

Answers

Answer:

The perimeter of the Parallelogram is 20z + 16

Step-by-step explanation:

For a Parallelogram

Perimeter = sum of all sides

P = (7z + 3) + (7z + 3) + (3z + 5) + (3z + 5)

P = 7z + 7z + 3z + 3z + 3 + 3 + 5 + 5

P = 20z + 16

Thus, The perimeter of the Parallelogram is 20z + 16

-TheUnknownScientist 72

Please help! It's a quiz and I can't check the answer so it needs to be correct!!!

Answers

Answer:

the answer is jesus asdlkfjsfs

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

HELP PLEASE ITS HARD

Answers

Answer:

the answer to your question is 9cm² for the Area

the answer is 9 cm square

what is a two way frequency table

Answers

Answer:

A two-way table is a way to display frequencies for two different categories gathered from a one group of people.

Step-by-step explanation:

Answer:

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Step-by-step explanation:

the decimal equivalent of 14/26

Answers

Step-by-step explanation:

14/26

Cancel numerator and denominator with 2 ,

7/13 = 0.5384

Answer:

0.538

Step-by-step explanation:

14/26 is basically 14 into 26

HELP ASAP PLEASE!!!!!!

Answers

Answer:

B

Step-by-step explanation:

In a function, every x-coordinate must be a different number.

If the same number appears more than once as an x-coordinate, it is not a function.

Answer: B

Sally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?

Answers

Answer:

0.8 pounds

Step-by-step explanation:

7.8 - 7 is 0.8


[tex] \frac{8}{ax} - 5 = - 3[/tex]
Solve for x. Assume a doesn't equal 0.​

Answers

Answer:

x=4/a

Step-by-step explanation:

8/ax - 5= -3

          +5    +5

8/ax=2

* ax     *ax

    8=2ax

  /2a     /2a

8/2a=x

simplify

4/a=x

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