MATHEMATICS HIGH SCHOOL

If i is raised to an even power, then it can not simplify to be

Answers: -1, 1, i

Answers

Answer 1

Answer:

Answer:

OPtion C (i)

Step-by-step explanation:

Given that i is raised to even power.

We have in complex number one part as imaginary number

Imaginary number is denoted by i, which is square root of -1.

In real numbers we can have perfect squares as only positive

Hence square root of -1 is only imaginary

When i is raised to even powers we get

$i^2=-1\ni^4=1\ni^6=-1\ni^8=1$

and so on.

i.e. this answer can not be imaginary but alternating between -1 and 1. Hence cannot simplify to i

Answer 2

Answer:

the correct answer is

C) i

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Write an equation that involves multiplication, contains, a variable, and has a solution of 5

Four hundred vouchers were sold for a carwash. Vouchers to wash trucks were $4, while vouchers to wash compact cars were $3. If the total sales were $1350, how many of each type of voucher were sold?

Answers

Answer:

150 vouchers to wash trucks were sold

250 vouchers to wash compact cars were sold

Step-by-step explanation:

Here, we are interested in calculating the number of each type of vouchers sold.

Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.

Firstly, we know that both sums up to be 400.

Mathematically;

x + y = 400 •••••••••(i)

Secondly,

since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x

Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y

The sum of both gives $1350, which is the total sales.

Mathematically;

4x + 3y = 1350 ••••••(ii)

So we have two equations to solve simultaneously;

x + y = 400

4x + 3y = 1350

Multiply equation i by 4 , we have;

4x + 4y = 1600

4x + 3y = 1350

Subtract equation ii from i, we have 4y-3y = 1600-1350

y = 250

From equation 1, we know that

x + y = 400

This means that;

x = 400 -y

x = 400 -250

x = 150

A salesman bought 2 dozen television sets at $300 each. He sold two-thirds of them ata 25% proﬁt but was forced to take a 30 % loss on the rest. What was his total proﬁt (or
loss) on the television sets?

Answers

Well, the first 16 were about 16*75=$1200 extra. The last 8 were $720 lost. Thus, the total profit is $480. He bought them with $7200, which means the profit is around 6.67%.

Answer: A salesman bought 2 dozen television sets at $300 each. He sold two-thirds of them at a 25% profit but was forced to take a 30% loss on the rest. what was his total profit(or loss) on the television sets?

----

Original cost 24*300 = 7200

----

Profit: 0.25*(2/3)24*300 = 1200

---

Loss: 0.3*(1/3)24*300 = 720

----

Total profit = 1200-720 = $480

Step-by-step explanation:

The amount Ben earns y varies directly with the number of hours he works X as shown in the graph. write a direct variation equation. identify the constant of variation and interpret it's meaning

Answers

Not as complicated if you understand direct variation.
The standard set up for direct variation is y=kx, which happens to be the case here. K stands for constant, which is what it is asking for. The constant is the ratio of y/x in direct variation and I can not solve that without seeing the graph, but the meaning of the constant of variation in this situation is The amount Ben earns per hour. Or in general The constant number multiplied by x to get y in the ratio between x and y in a direct variation situation.

The weight of male Americans between the ages of 18 and 25 is normally distributed, with a mean of 164.5 lb and a standard deviation of 26 lb. One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.What is the obesity threshold weight for a young adult American male? Round your answer to the nearest tenth.

Answers

Z- score equal to 2 means 2 standard deviations greater than the mean.
Mean + 2 z = 164.5 + 2 * 26 = 164.5 + 52 = 216.5
Answer: the obesity threshold weight for a young adult American male is 216.5 lb.

Answer:

216 is correct!

Step-by-step explanation:

3 2/5 times 4/7 times 1/2 equals

Answers

3 2/5×4/7×1/2=68/35×1/2=34/35

Therefore, the answer is 34/35

HOPE THIS HELPS!!!!!!!!

Ok so first you would have to do this...1. Turn 3 2/5 into a improper fraction: 3x5=15+2=17/52. Do 17/5 x 4/7: 17x4=68 and 5x7=35 so that would be 68/353. Then do 68/35 x 1/2: 68x1=68 and 35x2=70 so that would be 68/704. Finnaly you would reduce which means 68/70: 34/35So your answer would be 34/35

What is the length of a rectangle with an area of 8 1/0 square feet and a width of 2 1/4 feetA. 1/8 ft
B. 3 3/5 ft
C. 4 2/5 ft
D. 1 5/72