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Finger [1]
2 years ago
9

Simplify the expression. Write the answer using scientific notation. (5x10^2)^-2

Mathematics
2 answers:
Basile [38]2 years ago
6 0
5^-2 x 10^-4 = .04 x 10^-4 = 4 x 10^-6
Gnoma [55]2 years ago
4 0
The answer is 25x10^-4

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Which function has a domain of all real numbers except x=pi/2+-npi?
OLga [1]
It is rather obvious that we will have to deal with a trigonometric function. Let us see... the first hint is that a function is not defined somewhere. cos and sin are defined for all real numbers... what about tan though? Well, as we approach pi/2, tan becomes larger and larger and it is not defined at pi/2. Given that the tan function has a period of pi (cos and sin have a period of 2pi), this function is the right candidate. Since it is periodic and it is not defined at pi/2, it cannot be defined at any x=pi/2+-npi (if it was defined for some n, then it would have the same value at pi/2 due to periodicity). Hence, a function that works is tanx, or 2*tanx or tanx+6.
8 0
3 years ago
Read 2 more answers
Which function represents the number of cars sold in terms of bonus received
Mice21 [21]

Answer:

1st option

Step-by-step explanation:

Just did it

6 0
3 years ago
The z-score associated with 95% is 1.96. If the sample mean is 200 and the standard deviation is 30, find the upper limit of the
ziro4ka [17]

Answer:

The upper limit of the 95% confidence interval is:

C.I_u = 200 + (58.8/\sqrt{n})

Step-by-step explanation:

The formula is given as:

C.I = μ ± Z*σ/\sqrt{n}

The upper limit => C.I_u = μ + Z*σ/\sqrt{n}

The lower limit => C.I_l = μ - Z*σ/\sqrt{n}

The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.

The upper limit => C.I_u = 200 + 1.96*(30/\sqrt{n})

                                    = 200 + (1.96*30)/\sqrt{n}

                                    = 200 + 58.8/\sqrt{n}

5 0
2 years ago
2) Tara is trying to find the nth term of the arithmetic sequence 5,8,11, and 14…. Which expression can Tara use to find the nth
juin [17]

Answer:

Below in bold.

Step-by-step explanation:

Nth term an = a1 + d(n - 1)   where a1 = term 1 and d = common difference.

Here a1 = 5 and d = 8-5 = 3.

So an = 5 + 3(n - 1)

15th term a15

=  5 + 3(15 - 1)

= 5 + 42

= 47.

4 0
2 years ago
Find the radius of the circle below. Round your answer to the nearest tenth.
Butoxors [25]

Answer:

5.8 cm

Step-by-step explanation:

Area of the shaded sector of the circle = 31.2 cm²

Angle (θ) of the minor sector = 360 - 256 = 104°

Are of sector of a circle is given as, θ/360*πr²

Therefore:

\frac{104}{360}*3.142*r^2 = 31.2

0.29*3.142*r^2 = 31.2

0.91*r^2 = 31.2

Divide both sides by 0.91

\frac{0.91*r^2}{0.91} = \frac{31.2}{0.91}

r^2 = \frac{31.2}{0.91}

r^2 = 34.286

r = \sqrt{34.286}

r = 5.8 (nearest tenth)

6 0
3 years ago
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