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2 years ago

Find the next three terms of the arithmetic sequence. a) 9, 12, 15, ... b) 288, 252, 216, ...

Mathematics

2 answers:

Tatiana [17]2 years ago

6 0

For a) The pattern seems to be adding up by three, so you do that to find the next three terms: 18, 21, 24

For b) The pattern is subtracting by 36, so subtract by 36 three more times to get: 180, 144, and 108

Sorry if I made any mistakes, currently on mobile.

Harlamova29_29 [7]2 years ago

4 0

Answer:

a) 18,21,24

b)180, 144, 108

Step-by-step explanation:

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Haley and her family went on a vacation. To get to the beach, they drove for 3 hours

-Dominant- [34]

Answer:

it took longer to get to the beach

Step-by-step explanation:

they drove to the beach for 3 hours and 25 minutes and it took 55 minutes less to get home

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2 years ago

Read 2 more answers

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

$(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)$

This implies that:

$(0,6)\to(0,3)$

$(7,12)\to(3.5,6)$

$(7,9)\to(3.5,4.5)$

$(0,12)\to(0,6)$

Therefore correct choice is (0,3)

8 0

2 years ago

So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one

Naddika [18.5K]

Answer:

a. 4r² b. 2r c. 6 cm

Step-by-step explanation:

The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.

Now, equating both expressions, 6L² = 24r²

dividing both sides by 6, we have

6L²/6 = 24r²/6

L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².

b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have

√L² = √4r²

L = 2r

So, the polynomial that represents the length of an edge of the cube is L = 2r

c. The length of an edge of the cube is L = 2r. When r = 3 cm.

L = 2r = 2 × 3 cm = 6 cm

So, the length of an edge of the cube is 6 cm.

5 0

2 years ago

(12) — (23 + 13i) =<br> Chc

rewona [7]

Answer:

-11 - 13i.

Step-by-step explanation:

(12) — (23 + 13i)

= 12 - 23 - 13i

= -11 - 13i.

4 0

2 years ago

An initial investment of $100,000 at 12% interest is compounded weekly (use 52 weeks in a year). What will the investment be wor

ozzi

Answer:

$3644675.9

Step-by-step explanation:

The initial investment is $100000. The interest rate is 12%.

We are asked to determine the final amount the investment will become after 30 years if the interest is compounded weekly.

The weekly interest rate is $\frac{12}{52} = 0.231$ %.

Assuming 1 year equivalent to 52 weeks.

Hence, using the formula of compound interest the final sum will be

$100000(1 + \frac{0.231}{100} )^{(30 \times 52)}$

= $3644675.9 (Approximate)

8 0

2 years ago