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Liula [17]
3 years ago
8

What is the value of 5^3i^9

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

i=\sqrt{-1}\to i^2=-1\\\\5^3=5\cdot5\cdot5=125\\\\i^9=i^8\cdot i=(i^2)^4i=(-1)^4i=1i=i\\\\\boxed{5^3i^8=125i}

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Last question of my homework pls <3​
dimaraw [331]

Answer:

J(2, 5 )

Step-by-step explanation:

Using the section formula

x_{J} = \frac{1(-2)+2(4)}{2+1} = \frac{-2+8}{3} = \frac{6}{3} = 2

y_{J} = \frac{1(1)+2(7)}{2+1} = \frac{1+14}{3} = \frac{15}{3} = 5

Thus J = (2, 5 )

7 0
3 years ago
Look at the attached file. <br><br> please show your work on how you got the answer
statuscvo [17]

Answer:

D

Step-by-step explanation:

\frac{f(x)}{g(x)}

= \frac{2x+4}{2x^2+4x}

Factor out 2 on the numerator and 2x on the denominator.

= \frac{2(x+2)}{2x(x+2)}

Cancel the factor (x + 2) on the numerator/ denominator

= \frac{2}{2x} ← cancel the 2 on numerator/ denominator

= \frac{1}{x} : x ≠ 0

8 0
2 years ago
The price of compact fluorescent light bulbs fell because of improvements in production technology. As a result, the demand for
Dmitry_Shevchenko [17]

Answer:

This statement if FALSE

Step-by-step explanation:

This question deals with the concept of competing products and how the price of a product effects its demand

There are two competing bulbs

a) Compact fluorescent light bulbs

b) Incandescent light bulbs

The first statement exclaims that the price of the product (a) decreases and this causes the demand of product (a) to increase, this would decrease the demand of product (b) as they are competitors.

To retaliate against the loss of sales of product (b) the price of product (b) is decreased, this should increase the demand of product (b) but the statement says the the demand of product (b) further decreases.

Since we know from the statement that sales were primarily driven by the price of the products, the demand of product (b) should have increased. Hence this statement is false

5 0
3 years ago
Is -33 an integer? ​
Elden [556K]

Answer:

Yes

Step-by-step explanation:

An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.

4 0
3 years ago
G(x) = 5x + 3<br> Find G(2b)
GuDViN [60]

Answer:

G(2b) = 10b + 3

Step-by-step explanation:

To find G(2b), simply plug in 2b wherever there is an x in G(x).

G(x) = 5x + 3

G(2b) = 5(2b) + 3

G(2b) = 10b + 3

3 0
3 years ago
Read 2 more answers
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