so..my teacher NEEDS work from us so please don't put a random answer i need the work for that. thanks

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

[tex]an = \frac{(3n + 3)*7^n}{6^{n+4}}[/tex]

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

[tex]a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}[/tex]

We can simplify the right part to get:

[tex]\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}[/tex]

[tex]\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}[/tex]

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

[tex]\frac{3*7}{3*6} = \frac{7}{6}[/tex]

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

Answer:

Step-by-step explanation:

m ≥ 2-3

m ≥ -1   (graph this on  a number line)

Answer:

False

Step-by-step explanation:

Asexual reproduction is with one parent (Ex. A starfish)

Sexual reproduction is with 2 (Ex. A human)

Hope this helps!

Answer:

$13.79

Step-by-step explanation:

$8.00+$2.00+$1.00=$11.00

7%=$0.77

$11.00+$0.77=$11.77

20%=$2.02

$11.77+42.02=$13.79

Answer:

1/2

Step-by-step explanation:

You take the number of blue pencils and divide it by the total # of pencils.

hope this helps! :D

Answer:

y=7

Step-by-step explanation:

Answer:

1/4 x 1/3 x 1/12 es la reducción sobre la foto original

Answer:

y = -2x - 4

Step-by-step explanation:

We transform the line equation of L:

2x + y = 3 --(-2x)--> f(x) = y = -2x + 3

We now know that L intersects the y-axis at 3 and it has a slope of -2.

In order to construct a parallel line M, it needs to have an identical slope to L.

All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).

Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:

f(x) = y = -2x - 4 for line M.

Answer:

y-17=5(x+2)

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

y1 = y coordinate

m = slope

x1 = x coordinate

so you put in the x and y coordinates from the ordered pair into the equation

Answer:

1. X = 1 - 3y

2. -5/6x + 7/3

Those are the answers to the problems

Answer:

0.74x12

Step-by-step explanation:

Answer:

hello! :) have a good day!

74% of 12 is 8.88

So it would be

0.74 x 12 = 8.88

Step-by-step explanation:

(3²)³ × 3^x = 3⁷ × 3³/3¹¹

3⁶ × 3^x = 3¹⁰/3¹¹

3⁶ × 3^x = 3^-1

3^x = 3^-1 / 3⁶

3^x = 3^-1 × 3^-6

3^x = 3^-7

x = -7

Answer:

Median

Step-by-step explanation:

The median is supposed to be 86.5, not 89.

Hope it helps!

Answer:

I agree with the other person

Step-by-step explanation:

Step-by-step explanation:

a^2=10+b^2=10 10+10=20

Answer:

40

Step-by-step explanation:

basexheight= area

8x10= 80

80/2=40

pls brainliest

Answer:

q=8xp+4p²-12x

Step-by-step explanation:

its easy

Answer:

B. s = 32t

Step-by-step explanation:

The equation would be in the form of s = mt.

Where, m = rate of change

Find rate of change using any two values given in the table, say (1, 32) and (2, 64)

Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32

✔️To write the equation, substite m = 32 into s = mt

s = 32t

Answer:

1.00 and -1.00

Step-by-step explanation:

A correlation of 0.0 shows no linear relationship between the movement of two variables.

And the values range between -1.00 and 1.00

Answer:

Step-by-step explanation:

Percent change=100(final-initial)/initial

100(40-70)/70=-3000/70

approximately -42.86%

Answer:

Step-by-step explanation:

3m < 7

Product means multiply, less than means less than sign.

Answer:

12

Step-by-step explanation:

a is 12

Answer:

9

Step-by-step explanation:

9-7= 2

2<3

Answer: B

x < 10

Step-by-step explanation:

X - 7 < 3

X < 3 + 7

X < 10

Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

Answer:

yes it's a right angle triangle

Step-by-step explanation:

Given the sides are in the ratio 3:4:5.

Let ABC be the given triangle.

Let the sides be 3x,4x and hypotenuse be 5x.

According to Pythagoras theorem,

AC

2

=BC

2

+AB

2

BC

2

+AB

2

=(3x)

2

+(4x)

2

=9x

2

+16x

2

=25x

2

AC

2

=(5x)

2

=25x

2

AC

2

=BC

2

+AB

2

Hence ABC is a right angled triangle

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. if it's 6÷x=3, do 6÷3=2 to get the value of x. 6÷2=3.

Answer:

$40000

Step-by-step explanation:

The formula is x*1.08 = 43200. If you want to find the original price then isolate x. x*1.08 = 43200 -> x = 40000.