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11111nata11111 [884]
3 years ago
10

Determine whether the variation between the indicated quantities is direct or inverse. The number of calories in a cheese pizza

and the size of the cheese pizza
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

The variance is direct.

Step-by-step explanation:

Since size of the pizza determines the amount of calories.

Let us say that a 2" x4" strip of pizza has 250 calories.

Then a pizza of twice the size (or 4" x 4") will have twice as many calories (500 calories) .

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Determine whether the improper integral converges or diverges, and find the value of each that converges.
Brrunno [24]

Answer:

Converges at -1

Step-by-step explanation:

The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.

We will make use of integral by parts to determine:

let:

u=x             dv=e^(2x)\cdot{dx}

du=dx         v=2\cdot{e^(2x)}

\int\limits^a_b {u} \, dv = uv -\int\limits^a_b {v} \, du

\int\limits^a_b {x\cdot{e^2^x} \, dx =2xe^2^x- \int\limits^a_b {2e^2^x} \, dx

\int\limits^a_b {xe^2^x} \, dx = 2xe^2^x-2e^2^x-C

We can therefore determine that if x tends to 0 the limit is -1

\lim_{x \to \0} 2xe^2^x-2e^2^x=0-1=-1

5 0
3 years ago
Express in Slope-Intercept Form
sweet-ann [11.9K]

Answer:

y = (3/4)x + 2

Step-by-step explanation:

Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).

Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.

Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.

For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4

Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2

7 0
4 years ago
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8 0
3 years ago
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Team 2, serves the ball at 2-0-2, Team 1 returns the ball, and Team 2 volleys the ball with no return past Team 1. What is the c
Oksana_A [137]

Answer:

23

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8 0
2 years ago
7. Agrupa para sumar.<br>-5 +8 +(-2)​
Brums [2.3K]

Answer:

Obtendrías 1

Step-by-step explanation:

Primero resta 5 de 8 para obtener 3,

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¡Espero eso ayude!

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