Answer:
a. 55 hours
b. 1.9 degrees C
Step-by-step explanation:
This means for each hour the temperature drops 0.08. This is the expression 0.08x where x is number of hours.
a.) If the temperature has dropped 4.4, then 4.4 = 0.08x. Solving for x will give the number of hours it takes to drop 4.4.
4.4 = 0.08x
4.4 / 0.08 = x
55 = x
b.) If the temperature after 55 hours and dropping 4.4 is -2.5, then the temperature at the start would be -2.5 + 4.4 = 1.9. The temperature at noon was 1.9 degrees celsius.
The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)
So A(-3, 2) to A'(3, -2)
Answer:
A'(3, -2)
This is a geometric sequence, so use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -5
r is the common ratio, 5
and n is the number of terms
Thus,
Sum = ((-5)(5^6 - 1))/(5-1) = -19530
Answer:
30 and 9
Step-by-step explanation:
x+y=39 , x-y=21
Solve for x:
x+y=39 , x-y=21
x= 30
Substitute x with 30:
(30)+y=39 , (30)-y=21
Solve for y:
y=9
Answer:
The two consecutive integers are -119 and -120
Step-by-step explanation:
As we know that these two integers are consecutive, that means that they will have a difference of 1. This means that we can find the two integers by adding 1 to the sum of -239 and then dividing it by two
