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Reptile [31]
4 years ago
10

Which of the following is a composite number?

Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
7 0

B. 91 is composite because it can be divided by 7 and 13.

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If we approximate the function y=sin(x) with a0+a1 x a2 x^2 +a3 x^3, what is a0,a2,a2,a3?
Rashid [163]

The coefficients a_0,a_1,a_2,a_3 could be chosen to be the coefficients in the Maclaurin series of \sin(x).

We have

y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0

y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1

y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2

y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3

It follows that a_0=0, a_1=1, a_2=0, and a_3 = -\frac16.

7 0
2 years ago
Find the area under the standard normal curve to the left of z = 1.5
DaniilM [7]

Answer:

0.9332

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of
Savatey [412]

Answer:

We are looking for the amount of wax it will take to fill up that size candle mold to make that candle. That means that we are looking for the volume of wax, and the shape is a cylinder. The volume formula for a cylinder is

For us, that will look like this:

which translates to

V = 3.14(9)(5) which gives us a volume of 141.3 cubic inches. Rounding to the nearest cubic inch is simply 141 cubic inches of wax.

Step-by-step explanation:

6 0
3 years ago
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What is the mapping notation for translating point
vivado [14]
D.(x,y-3)
Because x basically represents the horizontal and y represents vertical
4 0
3 years ago
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Find the sum of one thousand and forty-two, sixty-nine and five hundred and thirty-six.
Viefleur [7K]

Answer:

1042

69+5=74

100+36=16

Step-by-step explanation:

> one thousand = 1000 (thousandth place)

0 = hundred place

and fourty-two = 42 (tenths)

1042

> 69+5=74

sixty-nine = 69 (tenth place)

5 = (unit)

64

> 100+36=536

one hundred = 100(hundredth place)

36 ( tenths)

146

7 0
3 years ago
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