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Dmitry_Shevchenko [17]
3 years ago
13

Write the first 5 terms of the arithmetic sequence whose first term is 8 and whose common difference is -6.

Mathematics
1 answer:
n200080 [17]3 years ago
6 0
The formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
thus our first term will be:
a1=8
a2=8+(2-1)(-6)=2
a3=8+(3-1)(-6)=-4
a4=8+(4-1)(-6)=-10
a5=8+(5-1)(-6)=-16
a5=-16
thus the sequence will be:
8,2,-4,-10,-16...
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3 0
3 years ago
Can anybody tell me how to solve this
Lyrx [107]
The answer to your question is:  Yes, someone undoubtedly can.

Although you haven't asked to be told or shown how to solve it, I'm here
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The sheet is telling you to find the solutions to two equations, AND THEN
DO SOMETHING WITH THE TWO SOLUTIONS.  But you've cut off the
instructions in the pictures, so all we have are the two equations, and
you'll have to figure out what to do with their solutions.

<u>First equation:</u>
                                   (2/5) x - 6 = -2
Add 6 to each side:
                                   (2/5) x = 4
Multiply each side by 5:
                                   2x = 20
Divide each side by 2 :
                                     <u>x = 10</u>

<u>Second equation:</u>
                                   -3y + 1/4 = 13/4
Subtract 1/4 from each side:
                                   -3y = 12/4
Multiply each side by 4 :
                                -12 y = 12
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5 0
3 years ago
Read 2 more answers
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4 0
3 years ago
What is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter
kodGreya [7K]

Answer: 25.5 m^{3}

Step-by-step explanation:

If the volume of a sphere is

V=\frac{4}{3} \pi r^{3}

Where r=2.3 m is the radius

The volume of a hemisphere is half the volume of the total sphere:

V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}

V_{hemisphere}=\frac{2}{3} \pi r^{3}

Solving this equation:

V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}

Finally:

V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}

5 0
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Answer:

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4 0
3 years ago
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