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Vilka [71]
3 years ago
5

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

Answer is -759/5

Step-by-step explanation:

To find the sum of a finite geometric series, use the formula,  

Sn= a1-a1r^n/ 1-r

where n is the number of terms, a1 is the first term and r is the common ratio .  

common ratio = a2/a1

S8=3-3(-2/3)8 / 1-(-2/3)

S8 = 3-(-2)8/ 1+ 2/3

S8= 3-256/ 3+2/3

S8= -253/5/3

S8= -253*3/5

S8= -759/5

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10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

3 0
3 years ago
Anna earns $60 plus $2.50 for each table she cleans. Write and solve an inequality to find how many tables she must clean to ear
Marina86 [1]

Answer:

84.5

Step-by-step explanation:

65.50 she will need 84.5 which is 84 dollard and 50 ct

8 0
2 years ago
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries twelve, more than, quotient, a number, eight. Column 2
lawyer [7]

Answer:

The answer would be 17.

Step-by-step explanation:

Hope I helped!

5 0
3 years ago
12x + 7 < -11 AND 5x – 8 > 40
statuscvo [17]

Answer:

x and x> 9\frac{3}{5}

Step-by-step explanation:

12x+7<-11 subtract 7 from both sides 12x<-18 divide both sides by 12 x<1.5

5x-8>40 add 8 to both sides 5x>48 divide both sides by 5 x>9.6

8 0
3 years ago
(x - 6)2 + (y - 10)2 = 99
rosijanka [135]

Answer:

x= -2+119/2+6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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