First find the square root of -24 which would be -4.898979486 then either subtract 1 or add negative 1, it's the same thing, and that would give you -5.898979486.

6 0

4 years ago

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Which expression is equivalent to square root 55x^7y6/11x^11y^8

Novay_Z [31]

Answer:

$\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}$

Step-by-step explanation:

$\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a$

$=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}$

6 0

3 years ago

Ashley wants to find out how much money she has in her piggy bank. She has x number of quarters and y number of dimes and says t

patriot [66]

Amount from dimes would be: 0.1y
Amount from quarters = 0.25x

So, total amount = 0.25x + 0.1y

So, she is not correct

Hope this helps!

5 0

3 years ago

Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What

iogann1982 [59]

Answer:

None of these choices are correct.

Step-by-step explanation:

If a bond is quoted at 99.875, it means that it is sold at 99.875% of the face value;

Face value = 1000

Therefore, Price = 0.99875 * 1000

Price = $998.75

If Leona pays 5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;

5.5% of 998.75 is;

0.055*998.75 = $54.93

The total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the given choices is correct.

4 0

3 years ago

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