Find the slope and y-intercept of the line represented by each table.

Mathematics

1 answer:

Lelu [443]3 years ago

5 0

It’s the 6 and 42 and 3 and 22

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Show work and explain with formulas if possible.

german

12 Answer: 20.25

Step-by-step explanation:

$a_1=4,\ r=1.5,\ n=5\\\\a_n=a_1\cdot r^{n-1}\\\\a_5=4\cdot (1.5)^{5-1}\\\\.\ =4\cdot (1.5)^4\\\\.\ =4\cdot 5.0625\\\\.\ =\large\boxed{20.25}$

13 Answer: 1980

Step-by-step explanation:

$a_1=8,\ d=4, \n=30\\\\a_n=a_1+d(n-1)\\\\a_{30}=8+4(30-1)\\\\.\ =8+4(29)\\\\.\ =8+116\\\\.\ =124\\\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{30}=\dfrac{8+124}{2}\cdot 30\\\\\\.\quad =\dfrac{132}{2}\cdot 30\\\\\\.\quad =66\cdot 30\\\\\\.\quad =\large\boxed{1980}$

16 Answer: 12

Step-by-step explanation:

$\sum\limits^\infty_{n=1} 6\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\\S_1=6\qquad \qquad S_2=3\qquad \qquad S_3=1.5\\\\\\\sum\limits^\infty_{n=1} 6\bigg(\dfrac{2}{2^n}\bigg)=\sum\limits^\infty_{n=1} 6\cdot 2\bigg(\dfrac{1}{2^n}\bigg)=12+\sum\limits^\infty_{n=1}\bigg(\dfrac{1}{2^n}\bigg)=12+0=\large\boxed{12}$

5 0

3 years ago

Read 2 more answers

Suppose you have entered 115-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is

Maksim231197 [3]

Answer:

The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.

Step-by-step explanation:

Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:

7 x 22 + 0 x 9 = 154

5 x 22 + 2 x 9 = 128

4 x 22 + 3 x 9 = 115

Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.

3 0

3 years ago

I need help please!:D

notsponge [240]

Answer:

176 R. 5

Step-by-step explanation:

8 0