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nalin [4]
3 years ago
5

Write the number in the form a+bi square root of -64+2?

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

\sqrt{-64}+2=2+8i

Step-by-step explanation:

i=\sqrt{-1}\\\\\sqrt{-64}=\sqrt{(64)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ for\ a\geq0\ and\ b\geq0\\\\=\sqrt{64}\cdot\sqrt{-1}=8\cdot i=8i\\\\\text{Therefore:}\\\\\sqrt{-64}+2=8i+2=2+8i

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Hannah has some pennies and some nickels. She has a maximum of 25 coins worth a minimum of $0.65 combined. If Hannah has 11 nick
kotykmax [81]

Answer:

Minimum number of pennies = 10

Step-by-step explanation:

Given:

Maximum number of coins Hannah have = 25

Total number of of nickels (coins) she has = 11

Total value of the combined coins = $ 0.65

We have to find the minimum number of pennies.

Let the number of pennies be "p"  and no. of nickels be "n".

Note:

Value of 1 penny = $ 0.01

Value of 1 nickel = $ 0.05

Arranging the above situation in terms of equations:

According to their quantities.

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According to their values.

⇒ 0.05(n)+0.01(p)\leq \$\ 0.65

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⇒ \$\ 0.55+0.01(p)\leq \$\ 0.65

⇒ 0.01(p)\leq \$\ 0.65-\$\ 0.55

⇒ 0.01(p)\leq \$\ 0.10

⇒ (p)\leq\frac{ \$\ 0.10}{0.01}

⇒ (p)\leq 10

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⇒ (p)\leq 10 which also satisfies p\leq 14

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Plugging p= 10 we can verify the values.

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Minimum number of pennies Hannah have = 10

8 0
3 years ago
Consider the equation 56 = ____ 2^ The missing number is imbetween what two whole numbers?
STatiana [176]
To be able to answer this item, one simply needs to find the square root of 56. Using the calculator, the square root of 56 is approximately equal to 7.48. Thus, the answer to the item are 7 and 8. 

Another approach to answering this item is that we get familiar with the perfect squares there is under 100. The nearest perfect squares to 56 are 49 and 64. 49 is the square of 7 and 64 is the square of 8. Thus, the answers to the item item are 7 and 8. 
6 0
4 years ago
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