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marissa [1.9K]
2 years ago
7

The nth term of a sequence is 33 - 5n a) Work out the first three terms of the sequence.

Mathematics
1 answer:
levacccp [35]2 years ago
7 0
Answer : 28, 23, 18

To find the ‘nth term’ all you have to do is replace the variable ‘n’ in the equation with the number term you’re looking for.

In this case you’re looking for the first three terms, so you would replace n with the numbers 1, 2, and 3.

This gives you 28, 23, and 18.
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The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.
Feliz [49]
QR=9
QP=6
TU=19
TS=?
Okay so the triangles are kindred, now the equation can be made
9/16=6/x
So now we are going to cross multiply
9x=114
Now divide both sides by
912 2/3
Your answer is:
TS=12.6
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3 years ago
Express (2-I) - (-1+3i) in the form of a + ib.
oksian1 [2.3K]

Answer:

=3-4i

Step-by-step explanation:

So we have:

(2-i)-(-1+3i)

First, distribute:

=(2-i)+1-3i

Combine like terms:

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Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

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Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

\displaystyle V=\pi (2r)^2h=4\pi r^2h

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:

V=\pi r^2(2h)=2\pi r^2h

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0
3 years ago
Is it considered a parallelogram?
scZoUnD [109]
C

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3 years ago
Mr. price drives 123 miles each day on his bus route he gets reimbursed .56 per every mile he drives. How much will mr. price re
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