Find the 10th term of the sequence defined by the given rule. Assume that the domain of each function is the set of whole numbers greater than 0.

f(1) = 8, f(n) = f(n − 1) + 15

The 10th term is

Answers

Answer 1

Answer:

[tex]87.[/tex]

Step-by-step explanation:

[tex]f(1) = 8, f(n) = f(n − 1) + 15 \\ The \: 10th \: term \: is \: \\ 8(10 − 1) + 15 = 72 + 15 = 87.[/tex]


Related Questions

What is 37 divided by 4

Answers

Answer:

9.25

Step-by-step explanation:

The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.

To solve 37 divided by 4 step by step:

Step 1: Divide the first digit of the dividend (37) by the divisor (4):

37 ÷ 4 = 9

Step 2: Multiply the quotient (9) by the divisor (4) to get the product:

9 × 4 = 36

Step 3: Subtract the product (36) from the dividend (37) to find the remainder:

37 - 36 = 1

Step 4: Bring down the next digit (0) from the dividend to the remainder:

Remainder: 10

Step 5: Divide the new number (10) by the divisor (4):

10 ÷ 4 = 2

Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:

2 × 4 = 8

Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:

10 - 8 = 2

Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.

Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.

Learn more about the division here:

https://brainly.com/question/29765578

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Reflect
1. When you move the decimal point, how can you know whether you are
increasing or decreasing the number?

Answers

Answer:

If u divide a number the number will decrease

if u multiply the decimal number it will increase.

when multiplying u move the decimal point to the right

if u r dividing u move the decimal point left

how much u move depends on the number of zeros from the number u are dividing or multiplying

Step-by-step explanation:

Solve this equation: -3(x - 14) + 9x = 6x +42
O
Solving this equation results in the statement 0 =0. Because this is a true statement, the equation has a unique solution
O
Solving this equation results in the statement 6 = 0. Because this is a false statement, the equation has infinitely many solutions.
O
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Solving this equation results in the statement 6 = 0. Because this is a true statement, the equation has no solution

Answers

Answer:

"Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions."

Step-by-step explanation:

6x+ 42= 6x=42

I'M FOR SURE 100%

Which equation correctly applies the distributive property?


​70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)​

​−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25​

​−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6​

​(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)

Answers

Answer: Answer is A

Step-by-step explanation:

Hope this helped:)

Yanir has $50 use grids to model and calculate each amount how much is 9% of $50

Answers

$4.50 is the answer

Answer:

4.5

Step-by-step explanation:

Can you please solve 8-7i/4i

Answers

Answer:

Exact Form: 25/4

Decimal Form: 6.25

Mixed number form: 6 1/4

Step-by-step explanation:

8-7i/4i

Cancel the common factor of  i

8 - 7/4

To write  8  as a fraction with a common denominator, multiply by  4/4

8 x 4/4 - 7/4

combine 8 and 4/4

8 x 4 over 4 - 7/4

Combine the numerators over the common denominator.

8 x 4 - 7 over 4

Simplify the numerator.

25/4

Exact Form: 25/4

Decimal Form: 6.25

Mixed number form: 6 1/4

Find the slope of the line through the given points:
(-5, 7) and (-5, 11)

Answers

Answer:

the slope of the line through the given points is x equals negative five.

2x(x^3-8)
X^2+7x+10=0
2nd term in expansion of (y-2x)^4

Answers

Answer:

10.7

Step-by-step explanation:

Pls answer need soon help help

Answers

Answer:

14:8 = 7:4 =28:16

Step-by-step explanation:

equivalent ratio:

14:8 = 7:4 =28:16

Under the seven the number is 4 the number above 16 is 56, and those are on the table and you should be able to do the rest of the problem from there.

|x| +6>8 pls help its due by midnight

Answers

Answer:

x< -2 or x>2

Step-by-step explanation:

subtract 6 from both sides to get |x|>2.

From here, we know that x can either be negative or positive.

The positive version will just be the equation itself, or x>2

The negative version is that equation flipped, or x<-2

Answer:

Step-by-step explanation:

Move the constant to the right and then calculate then separate into your possible cases find the intersection then find the union

please help me i really dont understand

Answers

You add all of them together

Answer:

48

Step-by-step explanation:

Juan bought a used bike from his uncle $20.6 each month for 2 years. What was the total amount Juan paid for the bike?

Answers

Answer:

$494.40

Step-by-step explanation:

38.03 - 2.678


Brainliest!

Answers

Answer:  35.352

Step-by-step explanation: Have a blessed day!

Answer:

35.352

Step-by-step explanation:

Do you realize that this is why they invented calculators?

What is the result of 2 divided by 4/10 ?1/5 4/5 5 20

Answers

The answer to this problem is 5.

Answer:

The answer is C) 5

describe the sequence of transformation from f to g​

Answers

if the solid line is f and the dashed is g

horizontal shrink vertical stretch and translation right

if the solid line is g and the dashed is f

horizontal stretch vertical shrink and translation left

I am almost bankrupt asking the same question but....

1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3

Answers

Answer:

If you understand how I solved a you can do B. Keep at it!

Step-by-step explanation:

2. How many batches can you make
with 15 cups of flour and 6
teaspoons of vanilla? Indicate the
additional batches by adding more
ingredients to your diagram.

Answers

Answer:

3 batches

Step-by-step explanation:

Dndbdbbdbdbbdhdndndjjdjdjdjdjd

Plzzzzzzz I neeed number 7 I’ll give brainly

Answers

Answer:

Removing the -6 makes the average go from 4.1 to 5.2

Removing the -6 makes the median go from 4 to 5

Step-by-step explanation:

Average:

-6+3+3+3+3+5+6+6+8+10 = 41

41/10 = 4.1 (This is the mean/average)

If we remove -6, then:

3+3+3+3+5+6+6+8+10 = 47

47/9 = 5.2222 (This would be the new average)

So removing the -6 makes the average go from 4.1 to 5.2

Median:

The median of (-6+3+3+3+3+5+6+6+8+10) is between 3 and 5, so the median is 4.

Without -6, the median of (3+3+3+3+5+6+6+8+10) is 5.

So removing the -6 makes the median go from 4 to 5

What is the distance from 10 to -5 on a number line?

Answers

The answer is 15 because the absolute value of -5 is 5 and the absolute value of 10 is 10. You add them together to get the distance in between them to get 15.

Knowing that GB is 18 and CD = 21 you should be able to use them to solve this problem.

Answers

9514 1404 393

Answer:

FG = 9BF = 27GD = 7CG = 14

Step-by-step explanation:

Point G is the intersection of medians, the centroid. That point divides each median into parts with a 2:1 ratio. The "2" part is the distance between the centroid and the vertex. The "1" part is the distance between the centroid and the side.

  FG : GB : BF = 1 : 2 : 3 = 9 : 18 : 27 . . . . . where 18 is given

  GD : CG : CD = 1 : 2 : 3 = 7 : 14 : 21 . . . . . where 21 is given

g (x) =-3x-4
f (x)=x2-2
Find (g+f) (2)

Answers

Answer:

(-3x-4+x^2-2)(2)=(x^2-3x-6)(2)

=(2^2)-3(2)-6

=4-6-6

=-8

The answer is -8

Have a nice day

the area of the rectangle

Answers

Answer:

8x6=48

Step-by-step explanation:

Answer:
48 units^2

Explanation:
Area of a rectangle=length*width

When we count the units for the length on the graph, we get 8. When we count the units for the width, we get 6.

Area=length*width
Area=6*8
Area=48

I hope this helps! Please comment if you have any questions.

(x2 +2xy +y2)+(x2- 2xy + y2)=

Answers

Answer:

2x^2 + 2y^2

Step-by-step explanation:

Combine like terms.

(x^2 + 2xy + y^2) + (x^2 - 2xy + y^2) =

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2

= x^2 + x^2 + 2xy - 2xy + y^2 + y^2

= 2x^2 + 2y^2

Answer:

2x^2 + 2y^2

Step-by-step explanation:

Find the value of x using segment addition.

Answers

You combine both 2x-12 and x+2 and 11 which makes the equation

2x-12+x+2= 11

The you get your answer which is

X=7

You're making a poster to support your friends for homecoming .your original photo is 4inches by inches. you want the photo on the Poster to be 4feet by 6 feet. What is the scale factor of this dilation. (Feet Change into inches

Answers

Answer:

The scale factor is 12

Step-by-step explanation:

12in/3in=4in

4*4=16

16*3=48in by

12/6=2in

6*12=78

answer for immediate brainliest

Answers

Answer:

some

Step-by-step explanation:

Answer:

Some, since naturals number are essentially counting numbers / any whole number excluding zero: 1, 2, 3, 4, 5, 6, 7, ............

For instance, you can't have 0 of a person so natural numbers can represent a set of people.

What are the missing parts that correctly complete the proof? Given: Point A is on the perpendicular bisector of segment P Q. Prove: Point A is equidistant from the endpoints of segment P Q. Image: A horizontal line segment P Q. A midpoint is drawn on segment P Q labeled as X. A vertical line X A is drawn. A is above the horizontal line. The angle A X Q is labeled a right angle. The line segments P X and Q X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point Q with point A. Drag the answers into the boxes to correctly complete the proof. Statement Reason 1. Point A is on the perpendicular bisector of PQ¯¯¯¯¯. Given 2. PX¯¯¯¯¯≅QX¯¯¯¯¯¯ Response area 3. ∠AXP and ∠AXQ are right angles. Response area 4. Response area All right angles are congruent. 5. AX¯¯¯¯¯≅AX¯¯¯¯¯ Reflexive Property of Congruence 6. △AXP≅△AXQ Response area 7. ​ AP¯¯¯¯¯≅AQ¯¯¯¯¯ ​ Response area 8. Point A is equidistant from the endpoints of PQ¯¯¯¯¯. Definition of equidistant Look below me

Answers

Answer:

These are the answers in order

Step-by-step explanation:

1. Definition of bisector

2. Definition of perpendicular

3. ∠AXP ≅ ∠AXQ

4. SAS Congruence Postulate

5. Corresponding parts of congruent triangles are congruent

The missing parts that complete the proof are;

2) Definition of a bisector.

3) Perpendicular Definition.

4) ∠AXP ≅ ∠AXQ

6) SAS Congruence Theorem.

7) Corresponding sides of 2 congruent triangles are congruent.

We are given that;

Point A is the perpendicular bisector of PQ

Point A is equidistant from the endpoints of PQ.

2) We are told that PX = QX; Since A bisects PQ at X, it means it divides it into 2 equal parts. Thus, this id true because it corresponds with the definition of a bisector.

3.  ∠AXP and ∠AXQ are right angles; Since perpendicular means right angle or 90°, we can say that this statement is true because it corresponds with the definition of perpendicular.

4. All right angles are congruent; This simply means they are equal. Thus, the two right angles here ∠AXP and ∠AXQ are congruent. We can write this with congruency symbol as; ∠AXP ≅ ∠AXQ

6. △AXP≅△AXQ; This means that △AXP is congruent to △AXQ. From the diagram, we can see that AP = AQ and that QX = PX and that ∠AXP = ∠AXQ. This means 2 corresponding sides and one corresponding angle are equal and the congruence theorem this depicts is SAS Congruence Theorem.

7. AP = AQ; This is true because we are told A is equidistant from both P and Q. Also, from the SAS congruency theorem, we can say that the corresponding sides AP and AQ are congruent.

Read more at; https://brainly.com/question/11357763

Are similar and congruent the same? please explain your answer

Answers

Answer:

Congruence essentially means that two figures or objects are of the same shape and size. Similarity means that two figures or objects are of the same shape, though usually not of the same size.

Step-by-step explanation:

The holcombe family went out to dinner the meal cost 54.65 the sales tax is 8 peecent the tip was 18 percent of the meal and tax there are 5 people in the holcomebe family what was the cost per person for the meal including sales tax and tip

Answers

Answer:

13.93

Step-by-step explanation:

Meal = 54.65

Sales tax = 8%

= 8/100 * 54.65 + 54.65

= 0.08 * 54.65 + 54.65

= 4.372 + 54.65

= 59.022

Tip = 18% of the meal and tax

= 18/100 * 59.022 + 59.022

= 0.18 * 59.022 + 59.022

= 10.62396 + 59.022

= 69.64596

Total people in the holcomebe family = 5

Cost of meal per person =

69.64596 / 5

= 13.929192

Approximately 13.93

In 2016, a billionaire's net worth was approximately $3.6 x 109. That same year, it
was reported that the average teacher salary was $45,000 per year. Using the
given numbers, how many times more was the billionaire's net worth than a
teacher's salary?

Answers

Answer:

all you do is multiply 3.6 and 109 to see if its 45,000 per year

Step-by-step explanation:

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