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3 years ago

What is the sum of the geometric sequence -3, 18, -108, ... if there are 8 terms

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

Step-by-step explanation:

common ratio=18/-3=-108/18=-6, a=-3

sn=a(r^n-1)(r-1)

sn=-3((-6)^n-1)(-6-1)

sn=-3(-6)^8-1)/(-7)

s8=-3(1679615)/(-7)

s8=719836

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A rectangle has a perimeter of 30m. The length is 10m. Solve the following equation to find the width: 2w+ 2(10)= 30

NARA [144]

2w+2(10)=30

multioly the 2 and 10

2w+20=30

subtract 20

2w=10

divide by 2

w=5

plz rate as brainliest answer

5 0

3 years ago

Read 2 more answers

Which lines are parellele

natali 33 [55]

Line 1 and Line 4 are parallel lines

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

<u>To find the slope of each line:</u>

Line 1: $y=-\frac{3}{4} x-6$

Slope $(m_1)=-\frac{3}{4}$

Line 2: $y-7=-4(x+9)$

$y-7=-4x-36$

Add 7 on both sides, we get

$y=-4x-29$

Slope $(m_2)=-4$

Line 3: $y=-2 x+6$

Slope $(m_3)=-2$

Line 4: $x+\frac{4}{3} y=-5$

Subtract x from both sides, we get

$\frac{4}{3} y=-x-5$

Multiply by $\frac{3}{4}$ on both sides, we get

$y=-\frac{3}{4}x-\frac{15}{4}$

Slope $(m_4)=-\frac{3}{4}$

<em>Two lines are parallel, if their slopes are equal.</em>

From the above slopes,

$m_1=m_4$

Therefore Line 1 and Line 4 are parallel lines.

3 0

3 years ago

Find the value of x. If necessary, write your answer in simplest radical form. 8 x 2

fenix001 [56]

Answer:

8 · 2 or 8x² or 8x2

Step-by-step explanation:

3 0

3 years ago

Heres a set of data 2.4, 1.6, 3.2, 0.3, 1.5 each peice of data is increases by 10, what is the mean? each new peice of data is d

Leviafan [203]

Step-by-step explanation:

Mean is the ratio of the sum of the sample data to the total sample size.

1) Given the set of data 2.4, 1.6, 3.2, 0.3, 1.5, if each piece of data is increases by 10, the new data's will be;

(10+2.4), (10+1.6), (10+3.2), (10+0.3), (10+1.5)

sum of the new data's = 59

Sample size = 5

Mean = 59/5

Mean = 11.8

Hence if the price of data is increases by 10, its new mean will be 11.8

2) If each new piece of data is doubles, the new set of data will be;

2(2.4), 2(1.6), 2(3.2), 2(0.3), 2(1.5)

= 4.8, 3.2, 6.4, 0.6, 3.0

Sum of new data = 4.8+3.2+6.4+0.6+3.0

Sum of new data = 18

sample size = 5

Mean = 18/5

Mean = 3.6

Hence the new mean if the data were doubles is 3.6

4 0

2 years ago

What is the x intercept of this linear function. y=2x-3

Allisa [31]

Answer:

set y = 0 to get the x intercept,,,,,,,,,, 0 = 2x -3 = x = 3/2 or 1.5

Step-by-step explanation:

6 0

3 years ago