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4 years ago

CAN TWO DIFFERENT SIZE SQUARES HAVE THE SAME PERIMETER ? EXPLAIN.

1 answer:

3 0

no, i don't think they can To put it simply, permieter is the distance around a two dimensional shape , Because squares are equal on all side, different size of squares will definitely change the perimeter. (one of the square will definitely placed inside another, the one with longer sides will had greater area)Hope this helps. Let me know if you need additional help!

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It is estimated that t-weeks into a semester, the average amount of sleep a college math student gets per day S(t) decreases at

goldenfox [79]

Answer:

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

Step-by-step explanation:

Before to getting started ,we have to consider the function which represents sleep decline rate S'(t) = $-3te^{t^{2} } \\$

Since this function is interpreted in this case as a rate of change, we can deduce this funcion is the first derivative of the function of average amount of sleep (S(t)).

In order to find S(t), we will integrate S'(t)

$\int\limits^ {} -3t3e^{t^{2} } \, dx \\$

This case corresponds to intergration by substitution

Substituting u= $x^{2} \\$

Computting the differential of u

$\frac{du}{dt} =2tdt\\$

Now, let's go back to our integral and write it in terms of u, using both definition of u and its defferential.

$\int\limits^{}-3te^{u} \, \frac{1}{2t}du \\\\\int\limits^{}\frac{-3}{2} e^{u}du\\$

The integral of a exponential function is itself. So the result is:

$\frac{-3}{2} e^{u} +c$

Now substitute u back in:

$\frac{-3}{2} e^{t^{2} } +c$

This answer correspond to function of average amount of sleep.

We know that when the semester begins (t=0) , math students sleep an average of 8.1 hours per day so we will use this info in order to find the value of c.

$s(0)=\frac{-3}{2} e^{0^{2} } +c=8.1\\\\\frac{-3}{2} +c=8.1$

Solve this equation

c=8.1+ $\frac{3}{2}$

c=9.6

Replacing the value of c on S(t)

S(t)= $\frac{-3}{2} e^{t^{2} } +9.6$

Now, let's to find the average of amount of sleep when 15 weeks has elapsed since the start date of the semester.

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

4 0

3 years ago

{1+8+27+64+125...} find the next 9 terms

Bogdan [553]

Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744

Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...

5 0

3 years ago

Read 2 more answers

I need help please and thank you

Amiraneli [1.4K]

Answer:

88.2*3.5742=315.24

Step-by-step explanation:

88.2*3.5742=315.24

3 0

3 years ago

Consider the equation 9x+3=x−1. Squaring the left side and simplifying results in _______. Squaring the right side and simplify

bixtya [17]

Answer:

The first blank is 81 $x^{2}$ +9=x-1

The second blank is 9x+3=x^2-1

Step-by-step explanation:

For the first part, you must set up the equation (9x+3)^2 then you must multiply the exponent to the inside exponents $9^{2} x^{2}$ + $3^{2}$ next, simplify.

81 $x^{2}$ +9=x-1

For part two, set up equation. $x^{2} -1^{2}$ Then simplify 9x+3= $x^{2} -1$

6 0

3 years ago

Estimate the answer to 44,596,251 – 28,257,934 by first rounding each number to the nearest million.

pickupchik [31]

Estimate
44,596,251 = 45,000,000
28,257,934 = 28,000,000

45,000,000 - 28,000,000 = 17,000,000

answer
17,000,000

4 0

3 years ago