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Alexxandr [17]
2 years ago
10

Draw a X on the scale.....

Mathematics
1 answer:
OleMash [197]2 years ago
5 0
Exactly half way between the 0 and 1 and there is a 50% chance it will land on 3
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Express the integral as an iterated integral in six different ways, where E is the solid bounded by y=4-x^2-4z^2 and y=0
zmey [24]
Assuming you need the integral expressing the volume of E, the easiest setup is to integrate with respect to y first.

This is done with either

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dx\,\mathrm dz
\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dz\,\mathrm dx

Thanks to symmetry, integrating with respect to either x or z first will be nearly identical.

First, with respect to x:

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dy\,\mathrm dz
\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dz\,\mathrm dy

Next, with respec to z:

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dy\,\mathrm dx
\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dx\,\mathrm dy
5 0
3 years ago
At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to de
o-na [289]

Answer:

62.5 %

Step-by-step explanation:

The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups  = 25 + 15 = 40

So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

p = 25/40 × 100%

p = 25/4 × 10 %

p = 6.25 × 10 %

p = 62.5 %

4 0
3 years ago
Please help!!
il63 [147K]
The answer is c On a coordinate plane triangle A prime B prime C prime has points Negative 18,18
6 0
3 years ago
Rewrite y=a(1/3)^3t in the form y = a(1+r)^t or y = a(1 –r)^t
pshichka [43]

Answer:

sorry

Step-by-step explanation:

sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes

6 0
3 years ago
What is they y intercept and why?
Olenka [21]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Step-by-step explanation:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

8 0
3 years ago
Read 2 more answers
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