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postnew [5]
3 years ago
6

Find the length of the side of the square if the number of square meters in its area is 1.5 times the number of meters in its pe

rimeter
Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

a - a length of side of square

The area: A = a²

The perimeter: P = 4a

The equation:

a^2=1.5\cdot4a\\\\a^2=6a\ \ \ \ |-6a\\\\a^2-6a=0\\\\a(a-6)=0\iff a=0\ \vee\ a-6=0\\\\\boxed{a=6}

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About 2,000,000 people visited the aquarium last year. If this number were rounded to the nearest million, what was the greatest
notsponge [240]
Okay, so there's a number rounded to the nearest million, in this case 2 million. So this tells me that the number of visitors is between 1,500,000 and 2,499,999. The reason why 1,499,999 doesn't count is because the hundred thousands digit is not 5 or above, so it doesn't count. It would round down to 1 million, not 2 million. The reason why 2,500,000 doesn't count, is because the hundred thousands digit is 5, so that rounds to 3 million, not 2 million. The greatest number of visitors that visited the aquarium has to be 2,499,999, because that's one digit away from 2.5 million, and the hundred thousands digit is a 4, not 5. The answer is 2,499,999
5 0
3 years ago
F(x)= -x over x^2+5 on the domain [0,4]
BartSMP [9]
If you're asking for extrema, like the previous posting

well

\bf f(x)=\cfrac{-x}{x^2+5}
\\\\\\
\cfrac{df}{dx}=\cfrac{(x^2+5)+2x^2}{(x^2+5)^2}\implies \cfrac{df}{dx}=\cfrac{5+3x^2}{(x^2+5)^2}\impliedby 
\begin{array}{llll}
using\ the\\
quotient\ rule
\end{array}

like the previous posting, since this rational is identical, just that the denominator is negative, the denominator yields no critical points

and the numerator, yields no critical points either, so the only check you can do is for the endpoints, of 0 and 4

f(0) = 0        <---- only maximum, and thus absolute maximum

f(4) ≈ - 0.19  <----  only minimum, and thus absolute minimum
5 0
3 years ago
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Assoli18 [71]

Answer:

should be 192

Step-by-step explanation:

4 0
3 years ago
The senate in a certain state is comprised of 51 republicans, 48 democrats, and 1 independent. How many committees can be formed
Sedaia [141]
17 since 51 goes into 3 17 times and 2 goes into 48 24 times and 17 is the largest number that can have 3 republicans and 2 democrats. The andwer would be 17 comittees,
5 0
3 years ago
The number line shows four points, which point represents the approximate location of √92?
Hitman42 [59]

Answer: Point D

Step-by-step explanation:

92 is in between 81 and 100, so 9 < \sqrt{92} < 10

7 0
2 years ago
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