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Lynna [10]
3 years ago
7

A rectangular patio has a perimeter of 50 feet. If the length if the patio is 5 feet less than twice the width, find the dimensi

ons of the patio
Mathematics
1 answer:
katrin [286]3 years ago
3 0
Five feet away from the dimensions
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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of
Eduardwww [97]

Answer:

The value of x component changes at a rate of \frac{dx}{dt}=4\sqrt{x} units per second

Step-by-step explanation:

We are given that y=x^{\frac{1}{2}}

Differentiating on both sides with respect to time we get

\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}

It is given that \frac{dy}{dt}=2units/sec

Solving for \frac{dx}{dt} we get

\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}

5 0
3 years ago
Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the proble
Tamiku [17]

Answer:

StartFraction x over 7.5 EndFraction = StartFraction 12 over 1 EndFraction

Step-by-step explanation:

Here, in this question, given that Rosa earns $12 in an hour, she earns x dollars in 7.5 hours. So we are interested in finding the value of x.

Let’s write this in terms of proportion;

$12 = 1 hour

$x = 7.5 hours

$12 * 7.5 hours = $x * 1 hour

So this can be rewritten as;

$x/7.5 = $12/1 hour

5 0
3 years ago
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What is the volume of this cube?
Annette [7]

Answer:

show us

Step-by-step explanation:

8 0
3 years ago
How do I figure this one out?
Inessa [10]
9k2-12k+4

(k2-6k)+(-6k+4) factor out the 3k from 9k2 0 6k: 3k(k-2) factor out -2 from -6k +4n: -2 (3k-2) factor out common term (3k-2) = (3k-2 ) (3k-2) that equals (3k-2)2
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3 years ago
Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?
ale4655 [162]
I think if u add 364+348 you will get 712
4 0
3 years ago
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