Answer:
It cooled 58.4 degrees
Step-by-step explanation:
T(t) = 68 + 144e ^(-.052t)
We want to find the value when t= 10
T(10) = 68 + 144e ^(-.052*10)
= 68 +85.611
T(10) =153.611
We also need to know
T(0)= 68 + 144e ^(-.052*0)
=68+144
=212
We want to know how much it cools
That would be the temperature at time 0 minus the temperature at time 10
T(0) - T (10)
212-153.611
58.389
To the nearest tenth
58.4 degrees
Make them both improper fractions.
77/10 - 19/5
Give them common denominators (multiply the second fraction by 2)
77/10 - 38/10
Subtract
39/10 = 3 9/10
Answer:
The domain restriction for (f/g)(x) is x=7
Step-by-step explanation:
we have
so
Remember that
the denominator can not be equal to zero
so
Find the domain restriction
x-7=0
x=7
therefore
The domain is all real numbers except the number 7
(-∞,7)∪(7,∞)
Answer:
1 : 6 . . . . or 1/6
Step-by-step explanation:
We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...
drawing size : actual size = 10 inches : 60 inches = 1 : 6
This can also be written as the fraction 1/6.
5(-4)+22 = (-4)+6
-20+22 = -4+6
2 = 2
Maria is correct, since both sides equally match.
