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Maslowich
3 years ago
5

The first two terms of geometric sequence are shown.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

A geometric sequence follows a pattern with a common ratio.

Find the ratio between 3 and 9

If you multiply 3 by 3 the answer would be 9.

The common ratio is 3.

Now multiply 9 by 3 to get 27.

The answer is D. 27

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Keith_Richards [23]

Answer:

8.0 seconds to the nearest tenth,

Step-by-step explanation:

h=-16t^2 +vt + c.

-16t^2 + 116t + 101 = 0

t =  [ -116 + /- √(116^2 - 4*-16*101) ] / (-32)

t = (-116 +/- √19920) / (-32)

t = -0.79, 8.036  (we ignore the negative root)

The time in flight = 8.036 seconds.

4 0
3 years ago
curtis threw 15 darts at a dart board and 40% of his darts hit the bulls eye how many darts missed the bulls eye
ioda

Answer:

9

Step-by-step explanation:

40 -100 = 60 and 60 percent of 15 is 9

3 0
3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
2 years ago
Graph
posledela

Answer:

8

Step-by-step explanation:

3 0
3 years ago
After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting
LuckyWell [14K]

Answer:

Step-by-step explanation:

Find the unit rate for this painting:

 3/5 of wall surface            3/5              15            9

------------------------------- = --------------- * --------- = -----------

         (8/15) hour                 8/15             15             8

Jane could actually paint the whole wall plus 1/8 more of it in one hour.

5 0
2 years ago
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