More card math! Easy!!
Exactly 1/4 of a 52-card deck of cards is clubs. Another 1/4 spades, another 1/4 is hearts, and the final 1/4 is diamonds. To find what one fourth of 52is, you can divide 52 by 4. That equals 13. So there are 13 clubs in the entire deck of cards. If you are trying <em>not </em>to get a club, you have to find the remainder of the cards without those 13. 52 - 13 = 39. This means that you have 39/52 odds of <em>not </em>getting a club. Simplified you get 3/4.
I did it the long way. A shorter was is to see that, obviously, one whole minus one fourth is three fourths.
Answer: Any irrational number
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.
As an example of this we have 
On the other hand, it is necessary to know the following:
-The multiplication of two rational numbers results in a rational number.
-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>
This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.
Therefore, the answer is: Any irrational number.
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer: 15
Step-by-step explanation:
