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Alisiya [41]
3 years ago
8

PLEASEEEEEE HELPPPPPPPP

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:

S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
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PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must
Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

<h3><u>Solution:</u></h3>

Given that  

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}

=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches  

Cost of aluminum for 1 cubic inch = $0.12

<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

=0.12 \times 1347.5833=\$ 161.71

8 0
3 years ago
4(2n + 3) =44 pls someone help me with this??​
Whitepunk [10]

Answer:

n = 4

Step-by-step explanation:

4(2n + 3) = 44

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Subtract 12 on both sides.

8n + 12 - 12 = 44 - 12

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3 years ago
A file server costs $30,000
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Answer:

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Step-by-step explanation:

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I'm so confused about solving by substitution.
Komok [63]

Answer:

x = 3

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Step-by-step explanation:

Given

y = -2x + 8

y = x - 1

Substitute x - 1 for y in the first equation

We have

y = -2x + 8

x - 1 = -2x + 8

Add 1 to both sides to eliminate 1 on the left side

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x = -2x + 9

Add 2x to both sides to eliminate 2x on the right side

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Divide both sides by 3 to isolate x

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Now substitute 3 for x in either equations to get y

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3 years ago
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