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Allisa [31]
3 years ago
10

Consider the following system of equations:

Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0
Y=-x+10
2x+3(-x+10)=45
2x+-3x+30=45
2x+-3x=15
-x=15
X=15
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What is the diameter of a sphere with volume of 7483
elena-14-01-66 [18.8K]

Answer:

The diameter of the sphere with the given volume is 24.268 units

Step-by-step explanation:

Volume of a sphere is given by the equation:

V=4/3\pi r^3

Plug in your volume and solve for r

7483=4/3\pi r^3

7483(3/4)=\pi r^3

5612.25=\pi r^3

5612.25/\pi =r^3

1786.43=r^3

\sqrt[3]{1786.43}=r

r = 12.134 units

d = 2r

d = 2(12.134)

d = 24.268 units

5 0
3 years ago
Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

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3 years ago
If the mean of five values is 8.6 and four of the values are 10, 7, 8, and 7, find
Anna007 [38]

Answer:

The fifth value is 11

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3 years ago
Find x. X is your hypotenuse and 76 is your opposite
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