What is the mean? 12 18 10 5 11 10 8 6

Plz need help on 1. 2. and 3 plz help and dont answer if you dont know it plz

sesenic [268]

Answer:

1) 32 $m^{6}$ $n^{14}$

2) 3 $j^{4}$ $k^{8}$

3) 135 $a^{11}$ $b^{16}$

Step-by-step explanation:

to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents

to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents

to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents

1) ( $4^{4}$ · $m^{12}$ · $n^{20}$ ) ÷ 2³ $m^{6}$ $n^{6}$ = 3 $j^{4}$ $k^{8}$

2) (15 $j^{5}$ $k^{2}$ · 25j² $k^{9}$ ) ÷ 5³j³k³ = (375 $j^{7}$ $k^{11}$ ) ÷ 125j³k³ = 3 $j^{4}$ $k^{8}$

3) (5 · 3³) $a^{11}$ $b^{16}$ = 135 $a^{11}$ $b^{16}$

5 0

3 years ago

55. The sum of an infinite geometric series is five times the value of the first term. What is the common ratio of the series?

myrzilka [38]

Answer:

r = 4/5

Step-by-step explanation:

Formula

Sum of an infinite geometric series = a / (1 - r)

Givens

Sum = 5*a

a = a

r = ?

Solution

5a = a/(1 - r) Divide both sides by a

5a/a = a / (a * (1 - r) The a's on the right cancel

5 = 1 / (1 - r) Multiply both sides by 1 - r

5*(1 - r) = 1*(1 - r)/(1 - r) The 1 - r s on the right cancel

5*(1 - r) = 1 Remove the brackets.

5 - 5r = 1 Subtract 5 from both sides

5-5 - 5r = 1 - 5 Combine

-5r = - 4 Divide by - 5

r = 4/5

8 0

2 years ago

What is 2x+1+7x=-8? Could you show work, please?

eduard

Answer:

Step-by-step explanation:

2x + 1 + 7x= -8

~2x + 7x = 9x

9x + 1 = -8

move 1 to the other side

9x = -1 -8

9x = -9

divide

X = -1

6 0

3 years ago

Read 2 more answers

Find the equation of line parallel to y=-2x+1 and passing through the point (2,4)

SOVA2 [1]

Answer:

$y=-2x+8$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slopes

1) Determine the slope (m)

$y=-2x+1$

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept (b)

$y=-2x+b$

Plug in the given point (2,4) to solve for b

$4=-2(2)+b\\4=-4+b$

Add 4 to both sides to isolate b

$4+4=-4+b+4\\8=b$

Therefore, the y-intercept of the line is 8. Plug this back into $y=-2x+b$ :

$y=-2x+8$

I hope this helps!

5 0

2 years ago

Is it parallel or is it perpendicular?

zavuch27 [327]

It is parallel, which means that the new line should have the same slope of the given line $y=-5/4 x+7$
and the slope is the coefficient of x
so the slope = -5/4
in order to solve this problem we have to know the equation of the slop
$slope= \frac{y-y1}{x-x1}$
where (x1,y1) is the point by which the new line passes through

$\frac{-5}{4}=\frac{y-(-4)}{x-1}$
$\frac{-5}{4}= \frac{y+4}{x-1}$
-5(x-1)=4(y+4)
-5x +5=4y+16 (by subtracting 16 from both sides)
-5x -11= 4y (divide both sides by 4)
y= $\frac{-5}{4}x - \frac{11}{4}$

4 0

3 years ago