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2 years ago

Find the slope of the lined graph below

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

7 0

The answer to your problem will be negative slope you’ll thank me later

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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

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The vertex form of a function is g(x) = (x - 3)2 + 9. How does the graph of g(x) compare to the graph of the function

mihalych1998 [28]

Answer:

Its the second choice.

Step-by-step explanation:

g(x) = (x - 3)^2 + 9

The -3 in the parentheses moves the graph of x^2 3 units to the right.

The + 9 moves it upwards 9 units.

7 0

3 years ago

I need help asap T>T

n200080 [17]

Answer:

3.4 yards cubed

Step-by-step explanation:

Volume is length x width x height

Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5

It looks like they want the answer in decimal form, so you can convert the fractions into decimals.

For the length 2 4/5, you divide the 4 by 5 to get a decimal of .8 so now it's 2.8

For the height of 3/5, you divide the 3/5 & get .6

Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed

6 0

2 years ago

A small toy block shaped like a right rectangular prism measures 6 cm long, 3 cm wide, and 2 cm high. What is the volume of the

nevsk [136]

36cm³

Step-by-step explanation:

Volume= mass

density

3 0

3 years ago

How many centimeters are in 1 mile

kvasek [131]

Answer:

1 mile = 160934 cm

Step-by-step explanation:

1 mile = 1609.34 m

1 m = 100 cm

1 mile = 1609.34 * 100 = 160934 cm

3 0

3 years ago

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