Answer:
x = 8 tickets
Step-by-step explanation:
Given that,
Mage has $36 to spend on movie tickets.
Each movie ticket costs $4.50.
Let he bought x tickets. ATQ,
4.50x = 36

So, he can buy 8 tickets.
Answer:
1 / (3 - √x³)
Step-by-step explanation:
∛x = x^1/3
^1/3 means the exponent is 1/3
then the derivative is:
d/dx ∛x = d/dx x~1/3 = 1/3*x~(1/3 - 1) = 1/3 x~-2/3 = 1/3 * (1/√x³)
= 1 / (3*√x³)
Hope it helps.
Answer:
Step-by-step explanation:
Given: The radius of circle O is r, and the radius of circle X is r'.
To prove: Circle O is similar to circle X.
Proof: Move the center of the smaller circle onto the center of the largest circle. Translate the circle X by the vector XA onto circle O. The circles now have the same center.
A dilation is needed to increase the size of circle X to coincide with the circle O. A value which when multiplied by r' will create r.
The scale factor x to increase X:
⇒
A translation followed by a dilation with scale factor will map one circle to the other, thus proving the given both circles similar.
Therefore, circle O is similar to circle X.
Step-by-step explanation:
Answer:
The refrigerator was at around 13 ∘C
Step-by-step explanation:
Newton's Law of Cooling:
The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

T ⇒ temperature
t ⇒ time
Tenv ⇒refrigerator temperature
⇒ rate of change of he temperature
-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)
We have 3 points:
time (minutes) - Temperature (∘ C)
0 (when the pan was put in the refrigerator) - 46
15 (after 15 minutes) - 27
30 (15 minutes after the first 15 minutes) - 19
= -h (27 - Tenv)
= -h (19 - Tenv)
Now we have a system of two equations and two variables


The refrigerator was at around 13 ∘C
Answer:
A
Step-by-step explanation:
The answer is A I hope it helped!