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2 years ago

Write the rule for the following arithmetic sequence: 11, 15, 19, 23, …

Mathematics

1 answer:

miv72 [106K]2 years ago

5 0

11,15,19,23

an = 11 + 4(n-1)
an = 11 + 4n - 4
an = 4n + 7

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The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Gnesinka [82]

Given:

The right rectangular prism is made up of 48 cubes.
Each cube has an edge length of 1/4 inch.

$~$

To Find:

What is the volume of this prism?

$~$

Solution:

$~$

<u>Using formula: </u>

$~$

$\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

$~$

Substituting values in the formula:

$~$

$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

$~$

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

$~$

$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

$~$

Hence,

Volume of prism is <u>3/4 inch^3</u>

7 0

2 years ago

Which fraction is closer to 1/2 than 0 or 1?

alexandr1967 [171]

Answer:

8/12

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Step-by-step explanation:

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2 years ago

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viva [34]

Answer:

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Step-by-step explanati

5 0

2 years ago

I really need help with this, please help me.

vazorg [7]

Answer:

See below.

Step-by-step explanation:

1. h

2. g

3. a

4. f

5. c

6. b

7. e

8. (17 * 5) * 2 = 17 * (5 * 2) = 17 * 10 = 170

9. 700 + 137 + 300 = 700 + 300 + 137 = 1137

10. $0.25 + $2.69 + $4.75 = $0.25 + $4.75 + $2.69 = $7.69

11. -8 + 57 + 18 = 18 - 8 + 57 = 10 + 57 = 67

12. 26 + 19 + 14 = 20 + 6 + 19 + 10 + 4 =

= 20 + 10 + 6 + 4 + 19

= 30 + 10 + 10

= 40 + 19

= 59

3 0

2 years ago

Segments CD, AE, and BF are medians of triangle ABC.

EleoNora [17]

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that $AM = 4x - 5$ and $ME=x+3$

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

$AM=2\times ME$

Substituting the values, we get,

$4x-5=2(x+3)$

Simplifying, we get,

$4x-5=2x+6$

Subtracting both sides of the equation by 2x, we have,

$2x-5=6$

Adding both sides of the equation by 5, we have,

$2x=11$

Dividing both sides of the equation by 2, we get,

$x=5.5$

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

7 0

3 years ago