2 years ago

If the rule of the function is "multiply by 2 then add 3" and the input value is -2, what is the output value?

Mathematics

1 answer:

miv72 [106K]2 years ago

5 0

The equation would be 2x+3 so when you plug it in it's 2(-2)+3 which simplify to -4+3 which is -1

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In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.

cluponka [151]

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

4 0

3 years ago

Evaluate xe^(x^2+y^2+z^2) where e is the portion of the unit ball x^2+y^2+z^2 < 1 that lies in the firat octant

AnnyKZ [126]

Given

$\int\int\int_E xe^{(x^2+y^2+z^2)}$

where E <span>is the portion of the unit ball $x^2+y^2+z^2\leq1$ that lies in the first octant.

This can be evaluated as follows:

$\int_0^1\int_0^{\sqrt{1-x^2}}\int_0^{\sqrt{1-x^2-y^2}} xe^{(x^2+y^2+z^2)}dzdydx=0.392699$ </span>