Answer:
OMG YES THANKS IF U EVER COMMENT ON MY QUESTION I WILL KEEP PUTTING RANDOME STUFF MWAH
Step-by-step explanation:
Answer:
octopus
Step-by-step explanation:
thank you so muchhhhh
Answer:

Step-by-step explanation:
<u>Rates of Change as Derivatives</u>
If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

The volume of a sphere of radius r is

The volume of the balloon is growing at a rate of
. This can be written as

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get


solving for 

We need to find the value of r, which can be obtained by using the condition that in that exact time


Simplifying and isolating r

![\displaystyle r=\sqrt[3]{512}=8\ cm](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B3%5D%7B512%7D%3D8%5C%20cm)
Replacing in the rate of change



Answer:
a. 0.80
b. $80
Step-by-step explanation:
a. The expected value, E(Y) is the sum of: [(each of the possible outcomes) × (the probability of the outcome occurring)]. In more concrete terms, the expectation is what you would expect the outcome of an experiment to be on average:

Hence the expected value E(Y) is 0.80
b. From a above we have the expectation as E(Y)=0.80.
-The expected amount is calculated by multiplying expectation by the surcharge:

Hence, the expected amount of surcharge is $80
Answer:
41.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 9/12
Taking the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1 (9/12)
x = 41.41
To the nearest tenth
x = 41.4