Answer this question please ASAP

Given:

The sequence is:

[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]

The given sequence can be written as

[tex]\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...[/tex]

The sign are alternative and the absolute value of each term can be defined by the expression [tex]\dfrac{17}{n^3}[/tex], where n is a natural number.

So, the required formula is:

[tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex]

Therefore, the formula for nth term in the given sequence is [tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex].

Answer:

x = 4

Step-by-step explanation:

Answer:

12 cents

Step-by-step explanation:

opportunity cost of the next best option forgone when one alternative is chosen over other alternatives

by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer:

not safe it is 78.5 degrees

Step-by-step explanation:

Answer:

ask in English then only I will answer

[tex]533 {?}^{2} \times \frac{?}{?} [/tex]

Answer:

53

Step-by-step explanation:

jddhhevehevevegejwkwveehjebebsjsbs

Step-by-step explanation:

y-2=2(x-0)^2

Vertex: (0,2)

Axis of Symmetry is x=0

Opens upward

Hope that helps :)

Answer:

20% profit

Step-by-step explanation:

Hope this helps

what

is the quistion cause can't nobody see that

9514 1404 393

Answer:

  $1686.05

Step-by-step explanation:

The amount with compound interest is ...

  A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

  A = $1600(1 +0.0175/4)^(4·3) = $1686.05

The balance after 3 years is $1686.05.

Answer:

the answer is $1686.05

Step-by-step explanation:

:))

Answer:

Tip of $1.60

The total is $9.60

Step-by-step explanation:

(20% × $8) + $8

$1.60 + $8

$9.60

Answer:

(-14)-(-53) = 39

18-(-2)=20

(-84)/(12)=-7

25*2=50

Step-by-step explanation:

two minuses are plus

when numbers are on the minuses which number is higher their sign will have an answer

Answer:

A. 39

B. 20

C. -7

D. 50

Step-by-step explanation:

A. ( -14) - ( -53) =

53 - 14 = 39

B. (18) - ( -2) =

18 + 2 = 20

C. ( -84) / ( 12) =

-84/12 = -7

D. (25) * (2) =

25(2) = 50

Answer:

t = 32

Step-by-step explanation:

The given equation is :

[tex]24=\dfrac{3}{4}t[/tex] ....(1)

Where

t is the number of guests attending the catered event.

The reciprocal of [tex]\dfrac{3}{4}[/tex] is [tex]\dfrac{4}{3}[/tex].

Multiplying both sides by the reciprocal of [tex]\dfrac{3}{4}[/tex].

[tex]24\times \dfrac{4}{3}=\dfrac{3}{4}\times \dfrac{4}{3}t\\\\t=8\times 4\\\\t=32[/tex]

Hence, 32 guests will attend the catered.

Answer:

(20,24) (17,20) and (8,8)

Hope this helps

Step-by-step explanation:

Answer:

x² - 12x + 36

factored: (x - 6)(x - 6)

Step-by-step explanation:

A can is a cylinder.

Volume of a can = Volume of Cylinder

[tex] = \pi {r}^{2} h[/tex]

Given Radius = 3.2 inches and height = 15 inches,

Volume of one olive oil can =

[tex]\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3} [/tex]

Volume of 5 olive oil cans = 5 x volume of one olive can

[tex] = 5 \times 153.6\pi \\ = 768\pi {in}^{3} [/tex]

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.

9514 1404 393

Answer:

  5/8 or 5/9

Step-by-step explanation:

The fraction will be exactly ...

  5/(8 1/2) = 10/17   ⇒   (8 1/2)×(10/17) = 5

__

The fraction will be approximately ...

  5/8 or 5/9

The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...

  (8 1/2) × (5/denominator) ≈ 5

  (8 1/2)/(denominator) ≈ 1 .  . . . . . . . divide by 5

If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.

  (8 1/2) × (5/8) = 5.3125 ≈ 5

  (8 1/2) × (5/9) = 4.722... ≈ 5

Either 5/8 or 5/9 will give a product of about 5.

Answer:

Step-by-step explanation:

Answer:

it should be the graph on the bottom right

Step-by-step explanation:

The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")

The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.

after selling 8 quilts her income will be higher than her costs

(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).

with all of these reasons combined the correct should be the one on the bottom right

Answer:

I think its +10 above surface

Answer:

$1,045

Step-by-step explanation:

40×22=880

22÷2=11

11+22=33

33×5=165

165+880=1,045

Answer:

x=80

Step-by-step explanation:

(x+30)=110 because they are vertically opposite angles.

x+30=110

x=110-30

x=80

Answer:

x = 80 degrees

Step-by-step explanation:

x + 30 = 110

  - 30  = -30

x = 80 degrees

Answer:

a) x= 29, y= 87

b) x= 19, y= 45

Step-by-step explanation:

Q5. a) Let the first number be x and the second number be y.

The sum of 2 integers is 116.

x +y= 116 -----(1)

The second number is three times the first number.

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 116

4x= 116

x= 116 ÷4

x= 29

Substitute x= 29 into (2):

y= 3(29)

y= 87

b) Let the smaller number be x and the larger number be y.

x +y= 64 -----(1)

y -x= 26 -----(2)

Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.

From (1):

x= 64 -y -----(3)

Substitute (3) into (2):

y -(64 -y)= 26

y -64 +y= 26 (expand bracket)

2y= 26 +64 (simplify, +64 on both sides)

2y= 90

y= 90 ÷2

y= 45

Substitute y= 45 into (3):

x= 64 -45

x= 19

Answer:

Step-by-step explanation:

height after x seconds = -16x² - 2x + 600

-16x² - 2x + 600 = 450

16x² + 2x - 150 = 0

8x² + x - 75 = 0

Quadratic formula

x = [-1 ± √(1² – 4·8(-75))] / [2·8]

 = [-1 ± √2401] / 16

 = [-1 ± 49] /16

 = 3, -3⅛

-3⅛ is an extraneous solution, so x = 3 seconds.

Answer:

M = -7

Step-by-step explanation:

It makes sense if you replace it in for M! Hope this helps and have a great day!

Answer:

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

Step-by-step explanation:

Answer:

Algebraic expressions have terms, Terms must be like to add and subtract,    You can’t always follow the order of operations with algebraic expressions.

Step-by-step explanation:

The solution of the equation is x= -6 or x = 2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the Equation x²+ 4x -4 - 8 or x² + 4x - 12.

Now Factorizing the equation we get

x² + 4x - 12

= x² + 6x - 2x  - 12.

= x (x+ 6) - 2( x+ 6)

= (x -2) (x+ 6)

So, x-2 = 0 or x+ 6= 0

x= 2 or x= -6

Thus, the solution of the equation is x= -6 or x = 2.

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