what are the first three terms of the sequence defined by the following function?
f(n)=41+(n-1)^5

Answers

Answer 1

Answer:

        41, 40 and 9

Step-by-step explanation:

[tex]f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9[/tex]


Related Questions

What is the mean of the data set? {11, 14, 15, 16, 16, 18, 20, 20, 22, 22} A. 11 B. 15.6 C. 17.4 D 18​

Answers

Answer:

C. 17.4

Step-by-step explanation:

add all the numbers and then divide  

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

then divide by the amount of numbers there is which is 10.

174/10 = 17.4

The circumference of a circle is double the perimeter of square having area 484 meter square . what is the area of the circle.​

Answers

Answer:

وتؤوثتيمسوثاسز لا لا لا وا

Answer:

616 sq. m

Step-by-step explanation:

The area of a square = 484

(Side)2 = 484  

side of a square = 22 m

According to the question,

circumference of a circle = perimeter of a square

2∏r = 4 × 22

r = 88 × 7/22 × 1/2  

r = 14 m

Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m

1/2 cm +1/2 cm +3/4 cm +3/4 cm

Answers

Answer:

3 1/2cm

Step-by-step explanation:

find the value of x and show your steps

Answers

Answer:

x = 4

Step-by-step explanation:

The image provided below, I find very helpful when trying to solve difficult problems such as this one.

We use the same relationship, the only difference is we are given expressions and numbers for the segments

If the product of the segments in one chord equal the product of the segments in the other chord then,

x * 6 = 8 * ( x - 1 )

Or 6x = 8 ( x - 1 )

Now we solve for

Step 1 distribute the 8

8 * x = 8x

8 * -1 = -8

We now have 6x = 8x - 8

step 2 subtract 8x from each side

6x - 8x = -2x

8x - 8x cancels out

we now have -2x = -8

step 3 divide each side by -2

-2x / -2 = x

-8 / - 2 = -4

we're left with x = 4

What’s the answer to this?

Answers

Answer

Where is the graph?

Step-by-step explanation:

To which rational number subset(s) do the following numbers belong?
1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers

Answers

D.

D. natural numbers, whole numbers, and integers

Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point

Answers

Answer:

I cant remember this

Step-by-step explanation:

i cant remember

Answer:

Hello! answer: 45, 20, 15, 11, 36, 8, and 5

Step-by-step explanation:

Data set I created: 45, 20, 15, 11, 36, 8, and 5

It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps

Pls help with trig ✋

Answers

Step-by-step explanation:

From Pythagorean theorem

x^2 = (10)^2 - (8)^2 = 36 or x =6

sin theta = opp/hyp = 6/10 = 3/5

cos theta = adj/hyp = 8/10 = 4/5

tan theta = opp/adj = 6/8 = 3/4

cot theta = 1/tan theta = 4/3

sec theta = 1/cos theta = 5/4

csc theta = 1/sin theta = 5/3

A customer has $10 to insert into a jukebox that plays songs for

$1 each. When a represents whole numbers less than 10, the

function f (x) = 10 - a represents the amount of money remaining

after a songs are played on the jukebox.

What is the value of f (7), in dollars and cents?

$

Answers

it’s 3 because 10-7=3

Mrs. Fulcher had 14 gallon of milk, and she bought 12 gallon more. Her family then drank 58 gallon of milk. How much milk does Mrs. Fulcher have left?

Answers

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

5 (2n - 3) = 105 solved algebraically

Answers

Answer:

n = 12

Step-by-step explanation:

5 (2n - 3) = 105

2n-3 = 105/5

2n = 21+3

n = 24/2

n = 12

Answer:

is the answer to your thing

n=12

what is the opposite of -(-8)?

Answers

Answer:

the opposite of -8 is 8

Step-by-step explanation:

Step-by-step explanation:

We have to find the additive inverseSo multiply (-)

[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]

Marissa goes to the beach and places a mirror on the ground so when she looks down at it she can see the reflection to the top of the tree. Marissa is 5.5 feet tall. She stands 7 feet from the mirror. The mirror is 28 feet from the tree. How tall is the tree?

Answers

Answer:

69 feet

Step-by-step explanation:

took quiz

Rays PQ and PS are perpendicular to each other.

What is the measure of LRPS plzzzzz

Answers

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

The volume of a rectangular prism is 945 ft. If it has a length of 15 ft and a width of 9 ft, what is
its height?

Answers

Answer: 7ft

Step-by-step explanation:

Rectangular Prism = L x W x H

135H = 945

H = 7 ft

Translations and reflections

Answers

Answer:

The answer is A. x + 5, y - 2

Step-by-step explanation:

The answer is A because you would move the block 5 spaces to the right and 2 spaces down.

Hope this helps!

You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella

Answers

Answer:

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Step-by-step explanation:

Your question is poorly formatted (See comment section for complete question)

Given

[tex]x = \{elf, hobbit, human\}[/tex] ---- characters

[tex]n(x) =3[/tex]

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools

[tex]n(y) = 5[/tex]

Required

The probability that your character won't be a hobbit or your tool won't be an umbrella?

First we calculate the probability of choosing a hobbit.

[tex]x = \{elf, hobbit, human\}[/tex]

[tex]n(hobbit) = 1[/tex]

So:

[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]

[tex]P(hobit) = \frac{1}{3}[/tex]

Using the complement rule, we calculate the probability of not choosing a hobbit

[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]

[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]

[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]

Next, we calculate the probability of choosing an umbrella.

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]

[tex]n(Umbrella) = 1[/tex]

So:

[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]

[tex]P(Umbrella) = \frac{1}{5}[/tex]

Using the complement rule, we calculate the probability of not choosing an umbrella

[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]

[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]

[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]

The required probability is calculated using:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]

In this case;

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]

Take LCM

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

I really need help right now someone help pls!!!

Answers

the answer would be 120 degrees

Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/ ( pages 2,3,4 only )

Answers

Answer:

2. more baking powder b/c 7/8 > 1/4

3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24

4. Question: Who helps for more time at the fair and who helps for more time?

Josh helps for less time than Sarai, as 3/8 < 8/12

Step-by-step explanation:

hope this helps

Leaving a 20% tip on a $45 bill? What is the Total Bill amount?

Answers

Answer:

Bill: $45.00

Tip: $9.00

Total: $54.00

Step-by-step explanation: Hope this helped!!!!!!!!!!!!!

Well $9 is the tip.

True or false the median is always a number that is part of the data set?

Answers

Answer: Mostly. The middle number of the data is the median (set should be in order). If there are more than one middle numbers, then they are not the median but the average of those numbers are the median.

This is not necassary that average is always present in the listed information.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

With a data set there are multiple number and always a middle whether or not its 2 numbers or 15. theres always a median.  

Quadrilateral ABCD has two pairs of parallel opposite sides and the m∠A=90°. Classify quadrilateral ABCD.

Answers

Answer: Rectangle

Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle

r. 2 times what number equals 10? )

Answers

Answer:

5

Step-by-step explanation:

Let the number be x.

2 × x = 10

2x = 10

x = 10 / 2

x = 5

Therefore, the number is 5.

Answer:

5 because it's obvious jwjjejeejjejejdjdnejdudu

james says 5/5 is greater than 9/10 is james correct explain

Answers

Answer:

James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.

Answer:

Yes.

Step-by-step explanation:

5/5 = 1.

9/10 = 0.9 < 1.

The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years

Answers

Answer:

$2720

Step-by-step explanation:

Given data

Principal=$2000

r= %6

T= 6 years

The expression for the final amount is

A= P(1+rt)

A=2000(1+0.06*6)

A=2000(1+0.36)

A=2000*1.36

A=2720

Hence the amount is $2720

divide the sum of 15 and 16 by 5​

Answers

Answer:

6.2

Step-by-step explanation:

15+16=31

31/5=6.2

Step-by-step explanation:

[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]

Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.

To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.

Which of the following composite functions expresses the calories, as a function of time, that Leona burns while boxing with heavy gloves?

c[b(t)] = 467.5t
c[b(t)] = 426.1t
b[c(t)] = 467.5t
b[c(t)] = 426.1t

Answers

Answer:

C. b[c(t)] = 467.5t

Step-by-step explanation:

No step-by-step explanation, nobody pays attention to them anyway.

Answer:

the answer is C. b[c(t)] = 467.5t give the person above this answer brainly, they got here first and deserve it.

will mark brainliest

Answers

Answer:

25 un²

Step-by-step explanation:

Formula = 1/2(b x h)

Base = 10

Height = 5

1/2( 10 x 5) = 1/2 (50) = 25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]25 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{(10 \times 5)}{2} = 25[/tex]

I NEED HELP WITH THIS EQUATION

Answers

Answer:

Hello! answer: 2/5

Step-by-step explanation:

3 ÷ 7 = 0.428571428571

2 ÷ 5 = 0.4

Therefore 3/7 is bigger then 2/5 Hooe that helps!

Kylie spent $13.80 to buy 30 popsicles for her classmates. How much did each popsicle
cost?

Answers

Answer:

0.46

Step-by-step explanation:

13.80/0.46

just divide

if you divide 30 by 13.80 you should get $2.17
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