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Lorico [155]
3 years ago
12

What is the inverse of f(x)=6x^2

Mathematics
1 answer:
likoan [24]3 years ago
8 0

Answer:

f^-1 (x) = √ 6x/6 - √ 6x/6

Step-by-step explanation:

interchange the variables and solve for y.

sorry its a little hard to read i didnt have all the symbols on my keyboard

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Each shape is 1 whole. Write a fraction for the parts that are shared. <br> 1=
Whitepunk [10]
Say ok I’ll be back at my house at
3 0
3 years ago
A) what is the probability that the first contestant is a boy?
tamaranim1 [39]

Probabilities are used to determine the chances of an event.

  • The probability that the first contestant is a boy is 1/2
  • The probability that the second contestant is a boy, if the first is a boy is 9/19
  • The probabilities are not independent

The given parameters are:

\mathbf{Contestants= 20}

\mathbf{Girls= 10}

\mathbf{Boys = 10}

<u>(a) Probability that first contestant is a boy</u>

This is calculated as:

\mathbf{P(Boy) = \frac{Boys}{Contestants}}

This gives

\mathbf{P(Boy) = \frac{10}{20}}

\mathbf{P(Boy) = \frac{1}{2}}

<u>(b) Probability that the second contestant is a boy, if the first is a boy</u>

This is calculated as:

\mathbf{P(Boy) = \frac{Boys - 1}{Contestants - 1}}

We subtracted 1, because the first contestant (a boy) is no longer part of the selection.

So, we have:

\mathbf{P(Boy) = \frac{10-1}{20-1}}

\mathbf{P(Boy) = \frac{9}{19}}

<u>(c) Independent probabilities</u>

The probabilities are not independent, because when a contestant is selected, the number of contestant is reduced by 1.

And this will affect the probability of the next selection.

Read more about probabilities at:

brainly.com/question/11234923

7 0
2 years ago
A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $30 an hour for his own labo
Korvikt [17]

Answer:

The plumber worked 50 hours, and his assistant worked 25 hours.

Step-by-step explanation:

Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:

40 x 30 + 20 x 20 = 1200 + 400 = 1600

50 x 30 + 25 x 20 = 1500 + 500 = 2000

Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.

6 0
2 years ago
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

4 0
3 years ago
Read 2 more answers
Phillip watched a beach volleyball game from 1:45pm to 2:00pm.how many degrees did the minutes hand turn?
VikaD [51]
For this case, the first thing to do is to calculate the time you were watching the game.
 We have then:
 2:00 - 1:45 = 15 minutes
 Then, the amount of degrees is given by:
 (15/60) * (360) = 90 degrees
 Answer:
 
the minutes hand did turn about:
 
90 degrees
5 0
3 years ago
Read 2 more answers
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