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4 years ago

How many blocks 1 inch on each edge would it take to fill a shoe box that is 12 inches long, 6 inches wide, and 5 inches tall?

2 answers:

7 0

Collect information:
Shoe box is~
a. 12 in. long
b. 6 in. wide
c. 5 in. tall
Find Volume:
To find volume...
Multiply length * width * height
l*w*h
Plug in numbers
12*6*5
This gives you, 360
Since we know that we want to find out how many 1 in. (which requires no extra work) blocks would fit, you can simply divide 360/1
Thus, you final answer would be, 360.

I hope this helps!

ICE Princess25 [194]4 years ago

4 0

First find the volume of the block(s):
A=s^3
s=side length

A=1^3
A=1 cubic inch

Next, find the volume of the shoe box:
12*6*5
360 cubic inches

Finally, divide the volume of the larger box by the volume of the block to get how many blocks will fit:

360/1 = 360 blocks

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Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Mrrafil [7]

Given:

$a_1=-4$ and $a_n=a_{n-1}+9$ where $n\geq 2$ .

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

$a_n=a_{n-1}+d$

Where, d is the common difference.

We have,

$a_n=a_{n-1}+9$

Here, d=9.

The first term of the AP is $a_1=-4$ .

The explicit formula for an AP is:

$a_n=a_1+(n-1)d$

Substituting $a_1=-4$ and $d=9$ , we get

$a_n=-4+(n-1)9$

$a_n=-4+9n-9$

$a_n=-13+9n$

Therefore, the required explicit formula for the given sequence is $a_n=-13+9n$ .

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3 years ago

Estimate 102.3 divided by 4.7

qwelly [4]

Answer:

Explanation:

To estimate, we round. 102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.

5 0

3 years ago

Read 2 more answers

Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge

sammy [17]

Answer:

$7.62 per hour

Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

$F=P(1+r)^t$

Where,

F is the future value (what we want to find)
P is the present rate ($6.5)
r is the rate of growth, in decimal (2% growth means 0.02)
t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

$F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62$

Thus, after 2 years, Heather's hourly rate will be $7.62

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3 years ago

Show all work to multiply (6+square root -64)(3-square root -16)

Hunter-Best [27]

Answer:

Step-by-step explanation:

- 8i = √-64

8i + 6

- -4i = -√-16

-4i + 3

[8i + 6][-4i + 3] → FOIL

>> -32i² + [24i - 24i] + 18

↑ ↑

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>>> 32 + 18 = 50

Information on Imaginary Numbers

√-1 = i

-1 = i²

-i = i³

1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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3 years ago

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B. Using your answer in letter a or write the equation of the line in the form Ax + By = C

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

(1, 5.5) ; (2, 9)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$