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2 years ago

I dont know what to do

Mathematics

1 answer:

storchak [24]2 years ago

8 0

Answer:

7. Neither.

8. Neither.

9. Vertical angles.

10. Adjacent angles.

11. Neither.

12. Neither.

Vertical angles are angles which are vertically opposite and have the same angle.

Adjacent angles are angles which look like right angle shape but it's a little slanted.

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What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

astraxan [27]

ANSWER

The value of the expression is
$- 1$

EXPLANATION

Method 1: Rewrite as product of
${i}^{2}$

The expression given to us is,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4}$

We use the fact that
${i}^{2} = - 1$
to simplify the above expression.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{1} \times {i}^{3} \times {i}^{2} \times {i}^{4}$

This implies,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2}$

We substitute to obtain,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times - 1 \times - 1 \times - 1\times - 1 \times - 1$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times 1 \times 1 \times - 1 = - 1$

Method 2: Use indices to solve.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0 + 1 + 2 + 3 + 4}$

This implies that,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{10}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( {{i}^{2}} )^{5}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( - 1 )^{5} = - 1$

8 0

3 years ago

Read 2 more answers

Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of un

REY [17]

Answer:

Step-by-step explanation:

Given that:

R(x) = $\frac{17}{2x+1}$ + 34x − 17

As we know that derivative of revenue function is marginal revenue function .

We will use following rules of derivative

=> dR/ dx = $\frac{-17*2}{(2x+1)^{2} } + 34$

=> R' (x) = $\frac{-34}{(2x+1)^{2} } + 34$

=> R '(2000) = $\frac{-34}{(2*2000+1)^{2} } + 34$ = 34

The revenue when 2000 units are sold is:

R(2000) = $\frac{17}{2*2000+1}$ + 34*2000 − 17 = $69,783

3 0

2 years ago

Using the image below, where would the coordinates of point A be if the triangle was translated by ⟨x−4,y+3⟩?

Dennis_Churaev [7]

Answer:

(-9,4)

Step-by-step explanation:

so we are going to take the original coordinates (-5,1) and to the operation that the question wants us to do (x-4,y+3) by subsitituing the variables in so we get (-5-4,1+3)

Answer: (-9,4)

6 0

2 years ago

(PLEASE ANSWER) Which expression is the prime factorization of 180X²Y? *

kenny6666 [7]

I have no clue but I think it’s 959583”04&6&(9;

3 0

3 years ago

Read 2 more answers

ASAP

mojhsa [17]

Answer:

cost = 8p + 5

Step-by-step explanation:

$8*[number of pizzas] + $5 delivery fee

$8p + $5

8p + 5

cost = 8p + 5

3 0

2 years ago

Read 2 more answers

I dont know what to do​

I dont know what to do