If 24 divided by 4 is 6 what is the remainder?

Answers:

[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]

Based on the limit comparison test, the series is convergent

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Explanation:

As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.

In other words,

[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]

That -2 doesn't really play a role when n gets very large.

This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.

So,

[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]

[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]

Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.

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If we plug n = 2 into the [tex]b_n[/tex] sequence, we get

[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]

The first term is a = 1/9

If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]

This shows that the common ratio is r = 1/3

Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.

Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.

We've shown that the b series converges, so the 'a' series must converge as well.

Answer:

-2( 7x+4)

Step-by-step explanation:

-14x - 8

Factor out -2

-2*7x -2*4

-2( 7x+4)

Answer:

Step-by-step explanation:

[tex] - 14x - 8[/tex]

Write -8 as -4×2

[tex] - 14x + 2 \times 4[/tex]

Factor out common term : 2

[tex]2( - 7x - 4)[/tex]

Answer:

no srry

Step-by-step explanation:

Answer:

3021

Step-by-step explanation:

Answer:

Your answer is: Estimated is: 3,000

The real answer was:

↓

3,021.

Step-by-step explanation:

Hope this helped : )

Answer:

C- 34 baskets.

Step-by-step explanation:

Since the answer to the actual problem is 43, it would make sense to pick the number closest to that, which is 34. hope this helps <3

-brooke :)

Answer:

1/2 basket

Step-by-step explanation:

confirmed!

Answer:

[tex]\frac{1}{10} h\leq 10[/tex]

Step-by-step explanation:

Basically, we are just translating the phrase into an algebraic expression.

9514 1404 393

Answer:

In order of improvement:

Step-by-step explanation:

In my engineering experience, a method of estimating should satisfy two requirements:

__

Multiplication and division by 2 are generally easy to perform mentally.

We note that 45% is about 50%.

  50% of 76 is 76/2 = 38 . . . a good starting estimate

45% is down 5% from 50%, so the actual value will be 5/50 = 10% lower than this first estimate

A good second estimate is 38 -0.10(40) = 34.

A better estimate is 38 -3.8 = 34.2, which is the actual value of the expression.

_____

Alternate approach

You could also transform the problem to 76% of 45, which is about 3/4 of 44, or about 33. Figuring the error adjustment on this approach is somewhat more difficult, as it is factors of 1/75 and 1/44 too low. 1 part in 44 is not too difficult to figure, as it is 33/44 = 3/4, so a better estimate is 33.75. It takes a calculator to figure 1 part in 75 of this, which is 0.45. Adding that amount gets you to the actual value of 34.2.

Answer:

[tex]\frac{66}{30} and \frac{55}{30}[/tex]

Step-by-step explanation:

Firstly, let's get the fractions out of mixed form.

2 1/5 = 11/5

(To do this, multiply 2 times 5 and add to the 1.)

1 5/6 = 11/6

(To do this, multiply 1 times 6 and add to the 5.)

Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator.

[tex]\frac{11}{5} * \frac{6}{6} = \frac{66}{30}[/tex]

and

[tex]\frac{11}{6} * \frac{5}{5} = \frac{55}{30}[/tex]

Answer:

x=-1

Step-by-step explanation:

The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).

3x+6=4x+7

-3x    -3x

6=x+7

All we need to do now is subtract 7 on both sides.

6=x+7

-7    -7

-1=x  or  x=-1  (they both mean the same thing!)

Hope this helps!! Have a wonderful day c:

Step-by-step explanation:

i dont see a venn diagram but i think the number is probably more than 5

The probability that the number selected is odd or less than five will be 0.20 or 20%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat.

One piece of paper is randomly selected from the hat.

Then the probability that the number selected is odd or less than 5 will be

Total event = 10

Favorable event = 2 {1, 3}

Then the probability will be

[tex]\rm P = \dfrac{2}{10}\\\\P = 0.2 \ or \ 20\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

I'm pretty sure it's 10/4 but I'm not totally sure

Answer:

on Khan the answer is B,C,E

Answer:

    Step-by-step explanation:

D

Answer:

a number  x  divided by four, minus seventeen

or

seventeen less than a quarter of a number  x

or

a quarter of  x  take away seventeen

Step-by-step explanation:

There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x  or a quarter of x  (especially since 'of' in math means multiplication).  Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!

Answer:

-5

Step-by-step explanation:

Find the number with the equation 6(x + 8) = 18

solve for x to get -5

Step-by-step explanation:

6*(x+8)=18

x+8=18/6=3

x=3-8=-5

prove

(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=

3+3+3+3+3+3=18

Answer:

3

Step-by-step explanation:

he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones

Answer:

75°

Step-by-step explanation:

x+60=5x. (vertical angles)

4x=60

x=15

m<GJI = x+60

=15+60 = 75°

Answer:

In simplifying this is simple.

Answer:

side C'D' = 2.8 units

Step-by-step explanation:

Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)

Therefore side C'D' = 2.8 units

Answer:

A.

Step-by-step explanation:

=======================================

Work Shown:

We have a geometric sequence

a = first term = -1

r = common ratio = (second term)/(first term) = 2/(-1) = -2

nth term

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

a(n) = -1*(-2)^(n-1)

Now plug in n = 7 to get the 7th term

a(n) = -1*(-2)^(n-1)

a(7) = -1*(-2)^(7-1)

a(7) = -1*(-2)^6

a(7) = -1*(64)

a(7) = -64

The first seven terms are

-1, 2, -4, 8, -16, 32, -64

To get each new term, we multiply the last term by the common ratio -2

Answer:

1 day = 86400 seconds

565900 divided by 86400 =

Step-by-step explanation:

a little more than 6 days

plz mark brainliest

Answer:

t=8

Step-by-step explanation:

400 divided by 50 hopefully that helps with your question

Answer: 33.33%

Step-by-step explanation:

Answer:

33.3333...%

Step-by-step explanation:

33 x 3 = 99.9999...

Answer:

3460

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

imin middle school

Answer:

10 miles

Step-by-step explanation:

You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.

Answer:

6.72937

Step-by-step explanation:

672.937%​

(calculate)

[tex]\frac{672.937}{100}[/tex]

(convert the expression)

6.72937

(there's your answer)

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope  M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16  answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign.  so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b

Answer:

(x+5, y-2)

Step-by-step explanation:

Move right 5 units and moves down 2 units