Evaluate: : Σ8 n=1 (-2)n-1= [?]​

9514 1404 393

Answer:

  A)  P = 8d +14

  B)  d = 2

  C)  56 cm^2

Step-by-step explanation:

A) The perimeter is the sum of all of the side lengths.

  P = 2(L +W)

  P = 2((3d +2) +(d +5)) = 2(4d +7)

  P = 8d +14

__

B) Using 30 for P, we have ...

  30 = 8d +14

  16 = 8d . . . . . . . subtract 14

  2 = d . . . . . . . . . divide by 8

__

C) The side lengths are ...

  3d +2 = 3(2) +2 = 8 . . . . cm

  d+5 = 2+5 = 7 . . . . cm

Then the area is ...

  A = LW

  A = (8 cm)(7 cm) = 56 cm^2

The area of the rectangle is 56 square centimeters.

Answer:

27602.02

Step-by-step explanation:

Principal =  £25,000

Rate of interest = 2% per year.

Number of years = 5 years

Formula,

=> £25000 * (1 + [tex]\frac{2}{100}[/tex] )^5

=> £25000 * 1.02^5

=> £25000 * 1.1040808

=> £27602.02

Therefore, the amount = £27602.02

Rounded to the nearest penny is £27602.02

Hope it helps :)

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

z = 180 - 52 = 128°

x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°

x = 180 - 85 = 95°

y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°

y = 180 - 33 = 147°

Answer:

12

Step-by-step explanation:

Answer:

27.65

Step-by-step explanation:

C=πd=π·8.8≈27.64602

rounded to the nearest tenth would be 27.65

hoped this helped.

Answer:

10.0 centimeters

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

if the two sides are 12, the third will have to be shorter so it could be:

( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )

can you choose me brainliest? :D

Answer:

30%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

P(9) = 1/4

P(9) % = 100/4 = 25%

Answer:

Step-by-step explanation:

1848 / 2310 == 4 / 5 = True

Answer:

he was complete dog water box like a fish  o earnings

Step-by-step explanation:

Answer: Solve for

[tex]y= \frac{5x}{3} -1\\or \\y=-\frac{2x}{3} +6\\[/tex]

Step-by-step explanation:

Solve for X.

Answer:

I would say A cause I think that that is the closest answer

Step-by-step explanation:

I am so so so sorry if this is wrong I'm not that great at math myself.

Answer:

Step-by-step explanation:

A.the fraction is technically 36/99, but simplified version is 4/11

X = 0.36363636......

100x = 36.363636.....

100x - x =36.363636 - 0.363636....

99x=36

X=36/99

= 4/11

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

b.0.3666 ... = 11/ 30

Explanation:

x = 0.3666 . .

(1)  10 x = 3.666 ...

(2)  100 x = 36.666 ...

(2)-(1):

100 x − 10 x = 36.666 ... − 3.666 ...

90 x = 33

x = 33/ 90 = 11/ 30

c.9/25

0.36 in the simplest form as fraction is 9/25.

Hope it helps!!!

Answer:

Step-by-step explanation: its number 3

Answer:

0.5 < x < 16.5

Step-by-step explanation:

8.5 - 8.0 < x < 8.5 + 8.0 =

0.5 < x < 16.5

Hope that helps! :)

-Aphrodite

Answer:

52, 61 and 70

Step-by-step explanation:

Given

[tex]Divisor = 9[/tex]

[tex]Remainder = 7[/tex]

Required

Determine first 3 possible dividends

The relationship between the [tex]dividend,\ divisor,\ quotient\ and\ remainder[/tex] is:

[tex]Dividend = Divisor * Quotient + Remainder[/tex]

Substitute: [tex]Divisor = 9[/tex] and [tex]Remainder = 7[/tex]

[tex]Dividend = 9* Quotient + 7[/tex]

Since the Dividends must be greater than 50, then the values of the quotient will be 5, 6 and 7

So, we have:

[tex]Dividend = 9* 5 + 7 = 45 + 7 = 52[/tex]

[tex]Dividend = 9* 6 + 7 = 54 + 7 = 61[/tex]

[tex]Dividend = 9* 7 + 7 = 63 + 7 = 70[/tex]

Hence, the three numbers are: 52, 61 and 70

Answer:

Step-by-step explanation:

[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]

we conclude that it has two or four real roots.

Answer:

680. 55 feets

Step-by-step explanation:

From the diagram, distance from lighthouse to buoy = x

Angle from top of lighthouse to buoy = (90 - 10) = 80°

Using the trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = x

Adjacent = 120

Tan 80 = x / 120

5.6712818 = x / 120

x = 5.6712818 * 120

x = 680. 55 feets

Answer:

x = 1.5

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding widht and height and multiply it by 2

The lenght is 2x + 3 and the width is 3x + 7

(2x + 3 + 3x + 7) *2 = 10x + 20 this is the perimeter which is given as 35 units

10x + 20 = 35 subtract 20 from both sides

10x = 15 divide both sides by 10

x = 1.5

Answer:29 mins

Step-by-step explanation: you take 41- 12= 29

Answer. multiply 13 and 64 then round to the nearest tenth

Step-by-step explanation:

I hope it helps :)

Answer:

if player wins by spining the greater number, spinner b should be chosen. However, if the game is won by spinning the lesser number , spinner a should be chosen.

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)

Answer:

y = -1/2 x + 5

Step-by-step explanation:

1) y = mx + b

2) m is the slope and b is the y-intercept

3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1

4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

5) Now, just plug the numbers into the formula for m above, like this: m = -1/2

6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b

7) To find b, think about what your (x,y) points mean:

(4,3). When x of the line is 4, y of the line must be 3.

(6,2). When x of the line is 6, y of the line must be 2.

8) You can use either (x,y) point you want..the answer will be the same:

(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.

(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.

9) So, this means that the equation of the line is y = -1/2 x + 5

Step-by-step explanation:

100-15=85%

85% × 29.99

=$25.49

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

Answer:

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

1 hr 36 min (98.3 mi)

Step-by-step explanation:

Answer:

4)it has infinitely many solutions

Answer:

the y intercept

so up 1 from (0,0)