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Bess [88]
3 years ago
15

I need help with number 3 25 points to first answer and gets branliest

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Answer:

length: 72,144,216,288,360,432

width: 1,2,3,4,5,6

Step-by-step explanation:

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Can some one help me pls
Norma-Jean [14]
E. 5/15 since you multiply the numerator and denominator by 5.

D. 2/3 since you divide the numerator and denominator by 3.

W. 15/24 since you multiply the numerator and denominator by 3.

J. 4/5 since you divide the numerator and denominator by 5.

C. 48/54 since you multiply the numerator and denominator by 6.

G. 24/21 since you multiply the numerator and denominator by 3.

T. 27/36 since you multiply the numerator and denominator 3.
3 0
3 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
Why is no one helping or answering ANY of my questions asked so far? :( I thought it said questions are normally answered with-i
vodka [1.7K]
Questions are USUALLY answered within 10 minutes.

Therefore, you're questions might be complicated, hard, or incomplete.

Actual people are answering these questions, so obviously the easier questions get answered first.
3 0
3 years ago
Evaluate x ➗ y, if x = 29.665 and y = 6.98
Oduvanchick [21]

Answer:

4.25

Step-by-step explanation:

4 0
3 years ago
ted took a trip to china. upon leaving he decided to convert all his Yuan back into dollars. how many dollars did he receive if
romanna [79]
Ted would receive 2 dollars
5 0
3 years ago
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