<span>212 -(72 divided by 2)=</span>212-36=176
Answer:
probability that the card is a Queen or a diamond= 0.3269
Step-by-step explanation:
There are 4 queen in a deck of cards and 13 diamond in a deck of cards.
And a deck of cards contains 52 cards total.
Probability of the card selected to be a queen = number of queen/total number of cards
Probability of the card selected to be a queen =4/52
Probability of the card selected to be a queen= 1/13
Probability of the card selected to be a diamond= number of diamond/ total number of cards
Probability of the card selected to be a diamond=13/52
Probability of the card selected to be a diamond=1/4
probability that the card is a Queen or a diamond= Probability of the card selected to be a queen + Probability of the card selected to be a diamond
probability that the card is a Queen or a diamond= 1/13+1/4
probability that the card is a Queen or a diamond= 0.3269
The answer is quintic binomial.
It is quintic because its highest power is 5. Quartic would mean its highest power is 4.
It is a binomial because the two terms are -4x^5 and -6x^3. Terms are separated by + or - signs.
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
16=1/4 d+2.5
Where d is diameter of larger gear
16-2.5=1/4d
D=74 cm
