37 POINTS PLEASE ANSWERR THANK YOU !!

Mathematics

2 answers:

skad [1K]2 years ago

7 0

I think it’s the answer b

Hitman42 [59]2 years ago

3 0

Answer:

ehhhh, probably A, this really didn't make since for me

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Evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4

Monica [59]

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

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3 years ago

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3 years ago

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Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

6 0

3 years ago

You flipped a coin 50 times and got 23 heads.What is the experimental probability of getting a head? Write your answer as a frac

lys-0071 [83]

Answer:

23/50, 0.46, and 46%

Step-by-step explanation:

This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.

8 0

3 years ago

3^-4 as a fraction, i need the exact value of this number as a fraction please and thank you :)

Musya8 [376]

Answer:

$\frac{1}{81}$