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nordsb [41]
3 years ago
8

What is the value of the expression i To the power of 1 times I to the power of 2 times I to the power of 3 times I to the power

of 4
Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1

Hope this helps!

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The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b
mel-nik [20]

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

3 0
3 years ago
Oprs]
abruzzese [7]

Answer:

Soccer = 120

Tennis = 220

Step-by-step explanation:

The total number of students enrolling for soccer and tennis classes is, 340.

The ratio number of students enrolling for soccer and tennis classes is, 6:11.

Then,

6x + 11x = 340

17x = 340

x = 20

The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.

The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.

8 0
3 years ago
Use the Remainder Theorem to find the remainder for (4x^3+4x^2+2x+3)/(x-1) and state whether or not the binomial is a factor of
Gnesinka [82]

Answer:

The remainder = 13.

Step-by-step explanation:

By the Remainder Theorem the remainder when the function is divided by

x - 1 is f(1).

f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3

=  4 + 4 + 2 + 3

= 13.

So x - 1 is not a factor of f(x).

If it was a factor the remainder would be 0.

5 0
3 years ago
Read 2 more answers
Solve for x. Each figure is a parallelogram
melomori [17]

Answer:

Step-by-step explanation:

THe sides are the same length

11=x+5

x=6

3 0
2 years ago
Find the area of the triangle. Enter your answer in the box.
BlackZzzverrR [31]
The answer is 12 m2
Explanation:

5 0
2 years ago
Read 2 more answers
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