Answer: C. 
Step-by-step explanation:
Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.
At t= 8 minutes, we get
The approximate temperature of the pan after it has been away from the heat for 8 minutes=
Answer:
Step-by-step explanation:
The first term is simply a(1), and is 5.
The fourth term is a(4), and is 5 + (1/6)(4-1), or 5 3/6 or 5 1/2.
The tenth term is a(10), and is 5 + (1/6)(10 - 1), or 5 + 3/2, or 6 1/2.
Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4
note that x^9 means "x to the power of 9", same with other ones
the number is 4.
The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.
The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.
Answer: 12 sqrt(5)
Explanation:
First simplify:
= Sqrt(45)
= sqrt(9*5) sqrt of 9 is 3 so bring out 3
= 3sqrt(5)
= 2sqrt(20)
= 2sqrt(4*5) sqrt of 4 is 2 so bring that out and multiply it by 2
= 4sqrt(5)
= 5 sqrt(5) is already simplified
= 3sqrt(5) + 4 sqrt(5) + 5sqrt(5)
= 12 sqrt(5)
