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2 years ago

6

Bill is filling a box up with bottle caps. The box is 1 1/2 feet long, 15 inches wide, and 9 inches high. What is the volume of

the box in cubic inches

1 answer:

Doss [256]2 years ago

5 0

11/2 so 15 inches high cubic box will get more high I guess

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Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1

andreyandreev [35.5K]

The series converges to 1/(1-9x) for -1/9<x<1/9

Given the series is ∑ $9x^{n} x^{n}$

We have to find the values of x for which the series converges.

We know,

∑ $ar^{n-1}$ converges to (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ $(9x)^{n}$ is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to 1/1-9x for -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

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1 year ago

A lawn area of 300 square feet needs 1/2 pound of grass seed. How many pounds of grass sees are needed for a lawn that is 60 fee

DIA [1.3K]

The answer is 2 pounds because 60 times 20 1200 and 1200 divided by 300 is 4 and 1/2 times 4 is 2

7 0

3 years ago

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SOME ONE PLS HELP ME ASAP OP THE TEACHER CALLED ON ME AND SHE SAID THAT I HAVE 5 MINS TO FIGURE THIS OUT

ZanzabumX [31]

Answer:

a F

Step-by-step explanation:

Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.

If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10 $^{-5}$ which is F.

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2 years ago

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Gary wants to buy a video game with a selling price of $48 on sale for 50% off. The sales tax in his state is 4.5%.

Shalnov [3]

Answer:

$25.08

Step-by-step explanation:

$48 to which you apply the 50%

48/2= $24

then you add the sales tax:

24+4.5%= 25.08

7 0

2 years ago

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total rece

olganol [36]

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type

Number

Value ($)

Total Value ($)

Student

6

Adult

9

1

,

506

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was

5

less than three times the number of student tickets sold.

Let

s

be the number of student tickets.

Then

3

s

−

5

is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type

Number

Value ($)

Total Value ($)

Student

s

6

6

s

Adult

3

s

−

5

9

9

(

3

s

−

5

)

1

,

506

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

−

5

)

=

1506

Step 5. Solve the equation.

6

s

+

27

s

−

45

=

1506

33

s

−

45

=

1506

33

s

=

1551

s

=

47

students

Substitute to find the number of adults.

3

s

−

5

=

number of adults

3

(

47

)

−

5

=

136

adults

Step 6. Check. There were

47

student tickets at

$6

each and

136

adult tickets at

$9

each. Is the total value

$1506

?

We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

⋅

6

=

282

136

⋅

9

=

1224

_____

1506

✓

Step 7. Answer the question. They sold

47

student tickets and

136

adult tickets.

5 0

2 years ago