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inna [77]
3 years ago
12

Match the numerical expressions to their simplest forms

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
4 0
 (a^6b^{12})^{1/3} ========> a^2b^4
\frac{(a^5b^3)^{1/2} }{(ab)^{- \frac{1}{2} } }  ======> a^3b^2
(\frac{a^{5} }{ a^{-3} b^{-4}  } )^{ \frac{1}{4}} ========> a^2b
( \frac{a^3}{ab^{-6} } )^{ \frac{1}{2} } ========> ab^3

sasho [114]3 years ago
4 0
The answers are the following:
(a^6b^12)^1/3 = a^2b^4
(a^5b^3)^1/2 / (ab)^-1/2 = a^3b^2
(a^5/a^-3b^-4)^1/4=a^2b
(a^3/ab^-6)^1/2 = ab^3
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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
PLZ HELP PLZ PLZ PLZ
Temka [501]

Answer:

The top option is false.

Step-by-step explanation:

Both segments have a <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] of ⅔. It just that their ratios have unique qualities:

\frac{2}{3} = \frac{4}{6}

Greatest Common Factor: 2

___ ___

<em>BC</em><em> </em>is at a 4⁄6 slope, and <em>AB</em><em> </em>is at a ⅔ slope. Although their quantities are unique, they have the exact same value.

I am joyous to assist you anytime.

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Answer:

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Step-by-step explanation:

<u>Step 1:  Determine how long it will last</u>

(9 cups) * (5 days / cup)

45 days

Answer: 45 days

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