Which of the following is equivalent to the expression

Answers

Answer 1

Answer:

The given expression is equivalent to -i

What is complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.

Let $z=i^(39)$

$i^2=-1$

$z= i^(38).i\nz=(i^(2))^(19).i\nz=(-1)^(19).i\nz=-i$

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Answer 2

Answer:

$i=√(-1)\to i^2=-1\n\ni^(39)=i^(38+1)=i^(38)\cdot i^1=i^(2\cdot19)\cdot i=(i^2)^(19)i=(-1)^(19)i=-1i=-1\n\nUsed:\n\na^n\cdot a^m=a^(n+m)\n\n(a^n)^m=a^(n\cdot m)$

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An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by d(t)=0.8t^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

Please help!!!!!1) Julie's car can travel 512 miles on 16 gallons of gasoline. What is the number of miles per gallon?

30
32
32.5
30.2

2) The cost of 50 pounds of pet food is $117.50. What is the cost for one pound of pet food?

$23

$0.43

$2.35

$235

Answers

To find the miles per gallon, you've got to divide the larger number (512) by 16, and this gives you 32. Therefore, the car is 32 miles to e gallon. You've also got to do this for the second one, and in this case, you've got to divide $117.50 by 50, and this gives you 2.35, which means that a pound of dog food costs $2.35Hope this helps :)

512 = 16
x = 1

16x = 512
x = 512 ÷ 16
x = 32

Answer: 32 miles per gallon (B)

50 = 117.50
1 = x

50x = 117.50
x = 117.50 ÷ 50
x = 2.35

Answer: $2.35 per pound (C)

What's 45 min before 12:15

Answers

45 minutes before 12:15 is 11:30.

Here, we have,

given that,

what's 45 min before 12:15

To determine 45 minutes before 12:15,

we subtract 45 minutes from the given time.

i.e. we have to get the result of (12:15 - 45)

we have,

12:15 - 45 minutes = 11:30

Therefore, 45 minutes before 12:15 is 11:30.

Hence, 11:30 is 45 min before 12:15.

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You count 45 mins behind. The answer is 11:30. What I do is subtract 15 from 45 (45-15) and got 30, then minus 1 hour.

A desert has both fruit and yoghurt insideAltogether the mass of the fruit and yoghurt is 175g
The ratio of the mass of the fruit to the mass of the yoghurt is 2:5
Which calculation will give the mass of the yoghurt?
175 divide 5 times 7 or 175 divide 7 times 5 or 175 divide 5 times 2 or 175 divide 7 times 2
What is the mass of the yoghurt (not the fruit and yoghurt - just the yoghurt, so it's not 175g)?

Answers

$2\ (the\ mass\ of\ the\ fruit)\ :\ 5\ (the\ mass\ of\ the\ yoghurt)\n\n\ \ \ \Rightarrow\ \ \ (5)/(7) \ of\ the\ all\ mass\ is\ the\ mass\ of\ the\ yoghurt\n\n (5)/(7) \cdot 175\ g\ =5\cdot 25\ g=125\ g\n\nAns.\ 175\ divide\ 7\ times\ 5.\ \ The\ mass\ of\ the\ yoghurt\ is\ 125\ g.$

Three hundred vehicles are parked in a parking garage. Seventy percent of the vehicles are midsized cars. Which equation can be used to find the number of midsized cars in the parking garage?