Consider the sequence 100, 95, 90, 85, 80, 75 ...
What is the value of f(8)?

Answers

Answer 1

Answer:

f(8) = 65

Step-by-step explanation:

Find a pattern in the sequence. It might be an arithmetic sequence (always adds or subtract by a certain number), or a geometric sequence (always multiplies or divides by a certain number).

To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.

• 100 - 95 = 5

• 95 - 90 = 5

• 90 - 85 = 5

• 85 - 80 = 5

• 80 - 75 = 5

Now, we know that this is an arithmetic sequence, and the common difference is 5.

To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.

• f(1) = 100

• f(2) = 95

• f(3) = 90

     ......

• f(7) = 70

f(8) = 65


Related Questions

Show and explain how you found the answer to this problem. Carla has 152 pictures to put in a scrapbook. If she can fit 12 pictures on a page, how many pages will she need to use?

Someone explain how did it in there answer :)
I’ll also mark as you know that

Answers



Explanation:

You make the equation. If she can put 12 on each page then you would multiply 12 by p (pages) and have it equal to 152

152=12p


To solve this, you would divide 12 from both sides

152/12=12.666

Therefore, 12.6=pages but since there aren’t 12.6 pages and you need to keep it a whole number you would round up to 13 because if you kept it at twelve pages you would have those pictures left over.

Answer:

13 pages

Step-by-step explanation:

what is the best answer for the equation -15=-6r+r

Answers

Answer:

r = 3

Step-by-step explanation:

First, add r to -6r, then divide both sides by -5.

~theLocoCoco

SOMEONE HELP!!!! ASAP

I’ll give brainliest!! Please and ty !


Last answe choice is 37 !!

Answers

Answer:

65

Step-by-step explanation:

Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

I have a different one but it was supposed to be 1/4

Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%

Answers

Answer:

Step-by-step explanation:

jordan traveled 255 miles out of 340 miles

340 miles.........................100 %

255 miles..........................   ?

255*100=2500/340=73%

See attachment for math work and answer.

Please help! Based on the picture above, select the correct angle pair for 3 and 5

Answers

i believe it would be between A and E but i think it’s A maybeee

Answer:

it e

Step-by-step explanation:

thats a tranversal and alternative exterior angles are angles on the opposite sides if a tranversal.

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!

Solve -2t + 5 ≥ -7.


t ≤ 6
t ≤ -6
t ≥ 6
t ≥ -6

Answers

Hope that helped! The answer is t is less than or equal to 6

The value of t will be  t ≥ 6 or t ∈ [ 6 , α ) .

Given,

-2t + 5 ≥ -7

Now,

Solving the inequality,

-2t + 5 ≥ -7

Take 5 from LHS of inequality to RHS of inequality .

-2t ≥ -12

The negative signs from both sides are eliminated .

2t ≥ 12

t≥ 12/2

t≥ 6 .

Thus the value of inequality will be t ≥ 6 .

Thus option C will be correct .

Learn more about inequality,

https://brainly.com/question/28984017

#SPJ6

Please help me please

Answers

Im blind SKDJFJNEDKODNANSRNFIS

Answer:

I think this AB would equal 12! Let me know if its right or wrong :3

Step-by-step explanation:

Math problem. I not smort

Answers

Answer:

first answer

Step-by-step explanation:

doesnt pass vertical line test, not a function

I need help solving this problem. ​

Answers

Answer:

about $342 or $171 per airpod

Step-by-step explanation:

the airpods cost about $171 each

1,200 ÷ 7 = 171 x 2 = 342

glad to help :)

CAN SOMEONE PLEASE HELP ME ASAP

Answers

Answer:

G

Step-by-step explanation:

difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)

i need help on this question please hurrrrrrryyy

Answers

Answer:

0

Step-by-step explanation:

They all seem to be plotted correctly in accordance with the graph

Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answers

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

Please help me thanks please

Answers

Answer:

Missing side is 15 in

area 150 in^2

Step-by-step explanation:

x = √ (25^2 - 20^2)

x = √ 625 - 400

x = √ 225

x = 15

area = bh/2

area = (20 * 15) /2

area = 300 / 2

area = 150

I think it's 500 but maybe Im wrong bc I keep editing my answer

Dad is 3 times as old as his son Jim. In 20 years, Dad's age will be 12 years less than twice Jim's age. How old is Jim?

14 years old
16 years old
18 years old
20 years old

Answers

18
The answer is 18 hope you get it right

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?

Answers

Kevin's age = 24
Daniel's age = 8

One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:

or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:

x, y = variable
In the statement of the task:
Kevin is 3 times as old as Daniel.
Let Kevin = K, Daniel = D
then the age comparison :
K = 3D ⇒ equation 1
4 years ago, Kevin was 5 times as old as Daniel
then the equation becomes
K-4 = 5 (D-4)
K-4 = 5D-20
K = 5D-16 ⇒ equation 2
Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:
1. graph system
the solution is the intersection point of the two equations / lines.
2. substitution
the solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation
3. elimination
the solution is to eliminate one variable from the equation system.
to determine the variable x we ​​eliminate the variable y first, or vice versa.
We use the second method: substitution


kev= 24 years old
dan = 8 years old

Which will help you when you file a claim for home insurance?
A. home loan
B. home budget
C. home inventory

Answers

Answer:

C. Home inventory

Step-by-step explanation:

Brenda took her dog to the veterinarian for an exam. The doctor told Brenda her dog needed to lose weight. Her dog weighed 55 pounds during this visit. The doctor suggested that her dog 45 pounds by their next visit. What is this weight decrease represented as a percent?

Answers

Answer:

18%

Step-by-step explanation:

Step one;

given

initial weight = 55 pounds

final weight= 45 pounds

Step two:

Required

the % weight decrease

% decrease= initial-final/initial *100

% decrease= 55-45/55 *100

% decrease= 10/55 *100

% decrease= 0.18 *100

% decrease= 18%

Eight more then seventimes a number (x) is atleast twenty nine

Answers

Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73

Some number decreased by seven is thirty-three. x - 7 = 33

A number increased by twelve is forty. x + 12 = 40

A number increased by fifteen is sixty-two. x + 15 = 62

Eight less than a number is nine. x - 8 = 9

A number divided by 11 is 4. x/11 = 4

Seven more than three times a number is 19. 3x + 7 = 19

Four more than five times a number is thirty-six. 5x + 4 = 35

Eight less than nine times a number is eleven. 9x - 8 = 11

Twelve more than four times a number is seven. 4x + 12 = 7

Seven more than triple a number is fifteen. 3x + 7 = 15

Seven times a number increased by eight equals twenty-three. 7x + 8 = 23

Eight more than six times a numbers is eleven. 6x + 8 = 11

Nine times a number increased by thirteen is twelve. 9x + 13 = 12

The quotient of a number and four is seventeen. x/4 = 17

A number increased by seven is twenty-five. x + 7 = 25

Fifty-five is the sum of a number and sixteen. x + 16 = 55

The product of a number and eleven is seventy-five. 11x = 75

Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37

The difference of a number and twelve is thirty-four. x - 12 = 34

Step-by-step explanation:

Answer:

x is equal to or greater than 3

Step-by-step explanation:

7x + 8 => 29

7x => 21

x => 3

Simplify: - 5 1/4 - ( - 7 1/2)

Answers

Answer:

  91/4 simplified = 22 3/4

work:

subtract find answer then simplify :)

Hope this helps

(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15

Answers

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

Help me please, i need to get my grade up from a 28 in my class

Answers

Answer:

y = f(x+3) - 5.

Step-by-step explanation:

In general, the equation y = f(x-h) + k shifts the graph of f(x) h units to the right and k units upward. This graph shifts f(x) 3 units to the left (-3 units to the right) and 5 units downward (-5 units upward).

Therefore, the equation for the shifted graph is y = f(x-(-3)) + (-5), or simply y = f(x+3) - 5.

what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :

Answers

Answer:

10x^2+7x+1

Step-by-step explanation:

Let's simplify this step-by-step.

3x^2+5x−9+7x^2+2x+10

=3x^2+5x+−9+7^x2+2x+10

After, combine like terms. (Simplify the expression)

Here is a step-by-step row.

= 3x^2+5x+-9+7x^2+2x+10

= (3x^2+7x^2)+(5x+2x)+(-9+10)

= 10x^2+7x+1

That is the most simplified form, I hope this helped!

I also adore your profile picture, it's so aesthetic ♡

..you watch anime? if so, me too! here's the answer, 18 :))

step-by-step explanation:

3 + 5= 8

8 - 9= -1

-1 + 7= 6

6 + 2= 8

8 + 10= 18

your answer is 18!!


What is the slope of the line?

Answers

The slope is 2/3 (over 2, up 3 or over 2 down 3)

A plumber charges a one-time service fee of $20 in addition to his hourly rate of $25 per hour. If the plumber went to your house to work on your bathtub and toilet and the bill came to $282.50, how many hours did it take him to complete the job?

A- 25 + 20x = 282.50; x = 10.5 hours

B- 20 + 25x = 282.50; x = 10.5 hours

C- 20 + 25x = 282.50; x = 12.1 hours

D- 45x = 282.50; x = 6.3 hours

Answers

Answer: B

Step-by-step explanation:

The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours

According to the question;

The one-time service fee of the plumber is; $20

The plumber's hourly rate is; $25 per hour.

The total bill after working on toilet and bathroom came to; $282.50

The expression which represents the plumber's charge is therefore;

20 + 25x = 282.50

where, x = number of hours to complete the job.

Therefore, to find x;

25x = 282.50 - 20

25x = 262.50

x = 262.50/25

x = 10.5 hours.

The total number of hours it took him to complete the job is; 10.5 hours.

Read more:

https://brainly.com/question/13828699

Can someone help me with this

Answers

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

kim weighed the dictionary and found that it had a mass of 745 grams. how many kilograms is that?

Answers

Answer:

0.745 kilograms

complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4​

Answers

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:


Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.

Answers

Answer:

Slope: -4

Y-intercept: 5

Step-by-step explanation:

The slope goes down 4 and over one which means that the slope is -4.

When X is 0, Y is 5

Good Luck!!

The length of a rectangle is 4 more than the width. If the perimeter is 36 inches, what’s the width and length of the rectangle?

Answers

Answer:

7 inches

Step-by-step explanation:

Answer:

The width and the length of the rectangle is...

Step-by-step explanation:

If we are looking at the total Perimeter of the rectangle, which is 36 inches, then we have to take in the information of the '4 more than the width'. so we need to think of the numbers that would make sense in this scenario. the formula to solve this would be:

w + (l + 4 ) x 2 = 36

So we would need to look at the different scenarios that don't go over 18.

if the width = 7

and the length = 11

7 + 11 = 18

18 x 2 = 36.

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