the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms

Answers

Answer 1

Answer:

-4 and -2✓6+3

Step-by-step explanation:

use pemdas

1(1-8)÷✓1 + 3

-7÷1+3

-4

6(6-8)÷✓6+3

-12÷✓6+3

multiply fraction by ✓6 on bottom and top to get rid of square root on bottom

-12✓6÷6+3

divide -12 by 6 and put radical next to it

-2✓6+3


Related Questions

Evaluate 8r-rs when r=6 and s=5 ?

Answers

18 is the answer to the question


Can someone help me and explain on paper , I’m still so confused

Answers

Answer:

Your answer is -5

Step-by-step explanation:

On paper;

In the equation x² + 18x + 81 = 0, the roots are?​

Answers

X= -9






Hope this helps<3

Answer:

x = (-9)

Step-by-step explanation:

x^2 + 18x + 81 = 0

x^2 + 9x + 9x + 81 = 0

x(x+9) + 9(x+9) = 0

(x + 9)(x + 9) = 0

(x + 9) = 0

x + 9 = 0

x = 0 - 9

x = -9

Please help me with this.

Answers

Answer:

12.4

Step-by-step explanation:

do 9x11 (the cross)

then divide that by 8, so 99/8

that equals 12.375 which rounded to the nearest tenth is 12.4

Calculate the area of the shape below. Give your answer in cm².​

Answers

Answer:

area of the shape below is

53cm^2

.......

A function f is defined by f(x) = 3x + 1. Find
a. f(0)=
c. f(2)=
F(-2)

Answers

Answer:

a) f(0)=3*0+1 =0+1= 1

b)f(2)=3*2+1=6+1=7

c)f(-2)=3*(-2)+1=-6+1=-5

Answer:

Step-by-step explanation:

f(x) = 3x+1

f(0) = 3x + 1

f(0) = 3*0+1

f(0) = 0+1

f(0) = 1

f(2) = 3x+1

f(2) = 3*2+1

f(2) = 6+1

f(2) = 7

f(-2) =3x+1

f(-2) =3*-2+1

f(-2) = -6+1

f(-2) = -5

f(-2) =

Please help thank you

Answers

I’m not sure, what is the unit called

help with question 4 please

Answers

Answer:

dont know

Step-by-step explanation:

sorry

Explain the steps for dividing decimals. Write three or four sentences.

Answers

Answer:

(assuming we're deciding decimals by decimals)

Dividing decimals is alot like regular decimal dividing. First, you must move the decimal places so it becomes a whole number. This makes it easier and less confusing as steps go on. Now we can divide regularly as we go on, making sure to put the amount of decimal spots we moved back in the answer.

Answer:

The first step is to make the divisor a whole number by multiplying it by a power of 10. When you multiply the divisor by a power of 10, you must multiply the dividend by the same power of 10. Then divide. Check your answer using estimation.

Step-by-step explanation:

rounding 615×38 to 1 significant figure estimate ​

Answers

Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

64 hundredths + 8 hundredths add decimals

Answers

Answer:

0.72

Step-by-step explanation:

64 hundredths= 0.64

8 hundredths= 0.08

0.64 + 0.08 = 0.72

Answer:

.72

Step-by-step explanation:

You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.

what is the product of -3 and +50​

Answers

Answer:

the product of -3 and +50 is -150

(-3)×+(50)=-150

Answer:

-150

Step-by-step explanation:

-3 × 50 =

-150

Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work

Answers

hope this helps
refer to the picture^^


I’m need this worked out step by step by tonight

Answers

9514 1404 393

Answer:

  -3 ≤ x ≤ 19/3

Step-by-step explanation:

This inequality can be resolved to a compound inequality:

  -7 ≤ (3x -5)/2 ≤ 7

Multiply all parts by 2.

  -14 ≤ 3x -5 ≤ 14

Add 5 to all parts.

  -9 ≤ 3x ≤ 19

Divide all parts by 3.

  -3 ≤ x ≤ 19/3

_____

Additional comment

If you subtract 7 from both sides of the given inequality, it becomes ...

  |(3x -5)/2| -7 ≤ 0

Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.

__

For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...

  |f(x)| < (some number) . . . . or ≤

If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:

  |f(x)| > g(x)   ⇒   f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0

Any solutions to these inequalities must respect their domains.

What is the slope of 3x+4y=−2?

Answers

Answer:

[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]

Find the equation of a line perpendicular to y=2 that contains the point (−5,1).

Answers

Answer:

y = -1/2x - 5/2

Step-by-step explanation:

y = 2x – 1

Current slope is 2, perpendicular is opposite inverse which is -1/2.

y-intercept through point (-5, 0):

y = mx + b

0 = -1/2(-5) + b

0 = 5/2 + b

b = -5/2

Use the perpendicular slope and b above to form new equation of line:

y = mx + b

y = -1/2x - 5/2

Hey can someone help please hurry it’s important

Answers

149 is quotient
The remainder is 31

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?

Answers

The number of groups that can be chosen from the team of 17 depends on

the given conditions of the selection.

The correct responses are;

(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.

Reasons:

The combination of n objects taking r at a time is given as follows

[tex]_nC_r = \dbinom{n}{r}[/tex]

(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;

Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.

(b) (i) Number of women = 9

Number of men = 8

Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]

[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]

Number of groups of 9 containing 5 women and 4 men = 8,820 groups.

(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]

[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]

The number of groups that contain at least one man are 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women if given as follows;

[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]

The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]

[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]

(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]

[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]

The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.

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Simplify the following:
Show all steps.

[tex]\sqrt{108} x^{2} y^{3} -\sqrt{12} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]

Answers

Answer:

[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)

Step-by-step explanation:

6[tex]\sqrt{3} x^{2} y^{3} - 2\sqrt{3} x^{2} y^{3} + x \sqrt{75} y^{3}[/tex]        simplify

4[tex]\sqrt{3} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]          collect like terms

[tex]\sqrt{3} xy^{3}[/tex]×(4x+[tex]\sqrt{25}[/tex])      factored out [tex]\sqrt{3} x y^{3}[/tex]

[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)        simplify

Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.​

Answers

9514 1404 393

Answer:

  a) see attached for the drawings

  b) p = 8n -4

  c) a(n) = 4n(n -3) +13  for n > 1; a(1) = 1

  d) none

Step-by-step explanation:

a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.

__

b) The sequence of perimeter values is ...

  4, 12, 20, 28, 36, ...

This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...

  p = 8n -4

__

c) The sequence of area values is ...

  1, 5, 13, 29, 53, ...

The first differences are ...

  4, 8, 16, 24, ...

and the second differences are ...

  4, 8, 8, ...

At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.

The function describing the sequence must be defined in two parts:

  [tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]

__

d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.

_____

Additional comment

The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.

An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?

Answers

The billboard is 73 ft talk

Which is the missing factor that makes the equation true?

___ 1.1 = 0.22

A.0.02

B.0.2

C.2

D.20

Answers

The missing factor that makes the equation true is 0.2.

According to the question;

We are required to determine the missing factor that makes the equation ___ 1.1 = 0.22 true.

Let the missing factor be represented as x.

x × 1.1 = 0.22

In essence; by dividing both sides of the equation by 1.1; we have;

x = 0.22/1.1

x = 0.2

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A carpenter has already shingled 10 garage roofs and is shingling roots at a constant rate of 9 per day
Write an eguation that models the number of garage roofs, 1, after t days,
an
ok
The equation that models the given situation is?

Answers

The equation that models the situation is f(t) = 10 + 9t.

The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.

He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.

let

f(t) = number of garage roofs the carpenter shingles

t = time in days.

If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.

To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:

f(t)  = 10 + 9t

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midpoint of (-1, -1, and (-11,10)

Answers

Answer:

(-6, 4.5)

Step-by-step explanation:

Answer:

ki

Step-by-step explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

w= 8/7

Step-by-step explanation:

1. divide the numbers

[tex]12w-1*10=6-2w[/tex]

2. multiply the numbers

[tex]12-10=6-2w[/tex]

3. rearrange terms

[tex]12-10=-2w+6[/tex]

4. add 10 to both sides of the equation

[tex]12w-10+1-=-2w+6+10[/tex]

5. simplify

[tex]12w=-2w+16[/tex]

6. add 2w to both sides of the equation

[tex]12w+2w=-2w+16+2w[/tex]

7. simplify

[tex]14w=16[/tex]

8.divide both sides of the equation by the same term

14w/14 = 16/14

9. simplify

w = 8/7

Answer:

[tex]w = 2[/tex]

Step-by-step explanation:

[tex] \frac{(12w - 20)}{2} = 6 - 2w[/tex]

[tex]6w + \frac{ - 20}{2} = 6 - 2w[/tex]

[tex]6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w[/tex]

[tex]6w + 10 = 6 - 2w[/tex]

[tex]6w - 10 + 2w = 6 - 2w + 2w[/tex]

[tex]6w + 2w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = - 2w + 2w + 6[/tex]

[tex]8w - 10 = 6[/tex]

[tex]8w - 10 + 10 = 6 + 10[/tex]

[tex]8w = 6 + 10[/tex]

[tex]8w = 16[/tex]

[tex] \frac{8w}{8} = \frac{16}{8} [/tex]

[tex]w = \frac{16}{8} [/tex]

[tex]w = \frac{2.8}{1.8} [/tex]

[tex]w = 2[/tex]

[tex]Thank \: you!!![/tex]

Hey may someone please help me<4! I’ll greatly appreciate it

Answers

Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up

Is -45.58 an integer

Answers

Answer: Yes

Step-by-step explanation: Because a integer is -45.58

Identify the terms and like terms in the expression

t + 8 + 3t =

Answers

Answer:

jzjzhsjoqhzjs I I shxaoaas

Compare the decimal numbers 0.218 and 0.128.

0.128 = 0.218
0.218 < 0.128
0.128 > 0.218
0.218 > 0.128
Easy Help 5th grade math will mark as brainlist

Answers

Answer

0.128>0.218 ,0.218>0.128, 0.128<0.218, 0.218>0.128

Step-by-step explanation:

0.218 is bigger because its 0.218 is a bigger number than 0.128

Identify the angles that each have a measure of 60\degree

Answers

Answer:

parrelel

Step-by-step explanation:

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