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-5+i/2i how do I break this down?​

Answers

Answer 1
Answer:

Answer:

i2 = -1

Step-by-step explanation:

5i ⋅i⋅(−2i)= −

10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i

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In the school parking lot there were 113 fewer bikes than cars. There were 185 cars. How many cars and bikes were there in the parking lot? What is the estimated amount?

Answers

There is 185 cars and bike is 72

Can someone help me on this problem

Answers

If a=b, the triangle ABC is an isosceles right triangle and the angle of interest is 45°.

sin(45°) = (√2)/2 . . . . . . selection C is appropriate

In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country. If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?

Answers

Answer:

The probability that the student is in high school and has visited a foreign country is 0.18.

Step-by-step explanation:

We are given that in a survey of students, 60% were in high school and 40% were in middle school.

Of the high school students, 30% had visited a foreign country.

Let the Probability that students were in high school = P(H) = 60%

Probability that students were in middle school = P(M) = 40%

Also, let F = event that students had had visited a foreign country

So, Probability that high school students had visited a foreign country = P(F/H) = 30%

Now, probability that the student is in high school and has visited a foreign country is given by = Probability that students were in high school * Probability that high school students had visited a foreign country  

            =  P(H)  *  P(F/H)

            =  0.60  *  0.30

            =  0.18 or 18%

I’m not sure if my answer is correct. If you can help me

Answers

Answer: your answer is perfect.

Step-by-step explanation:

Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)

Answers

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where f(x) is increasing or decreasing, we set f'(x)=0 and check for the intervals.

We see that f'(x)=0 when either x=2 or x=6. Therefore, we'll need to check the intervals (-\infty,2), (2,6), and (6,\infty)

For the interval (\infty,2), we can pick x=0 . This means thatf'(0)=(2-0)(6-0)=(2)(6)=12>0, showing that f(x) increases on the interval (-\infty,2)

For the interval (2,6), we can pick x=4. This means that f'(4)=(2-4)(6-4)=(-2)(2)=-4<0, showing that f(x) decreases on the interval (2,6)

For the interval (6,\infty), we can pick x=7. This means that f'(7)=(2-7)(6-7)=(-5)(-1)=5>0, showing that f(x) increases on the interval (6,\infty)

Therefore, f(x) is increasing on (-\infty,2)\cup(6,\infty) and is decreasing on (2,6).

I=$720, P=$1000, r=9%
Find the amount of the time.

Answers

Answer:

The amount of time is 8 years

Step-by-step explanation:

Simple interest refers to the interest produced by initial capital over a period of time. This does not accumulate to the capital to produce the interests of the following period, so the interest generated or paid in all periods is the same, while the interest rate and term dont vary.

The amount of interest paid or charged depends on three important amounts: Capital, rate and time. This is expressed by the following equation:

I = P * r * t

Where:

  • I = interest.
  • P = initial capital.
  • r = interest rate in decimals (it is usually a given data in percentage, which you must divide by 100 to get the value in decimals).
  • t = time in years.

In this case I has a value of $ 720, P has a value of $ 1000 and r of 9%, which making the conversion to decimal is 0.09

Replacing in the equation you get:

720=1000*0.09*t

Multiplying 1000 * 0.09 you get:

720=90*t

Dividing both sides by 90, in order to isolate t, you get:

(720)/(90) =(90)/(90) *t

8=t

Remembering that the value of t is expressed in years, this means that the amount of time is 8 years.
I = PRT....looking for T...re-arrange......I / PR = T

I / PR = T
I = 720
P = 1000
R = 9% = 0.09
now we sub
720 / (1000)(0.09) = T
720 / 90 = T
8 = T <===
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