Answer:
68
Step-by-step explanation:
Total mile cycled, d(t) ;
d(t) = 12t + 20
At d(4)
t = 4 ;
We have;
d(4) = 12(4) + 20
d(4) = 48 + 20
d(4) = 68
After, 4 hours of cycling, Joanna cycled a total distance of 68 miles
Answer:
Step-by-step explanation:
The function
has a horizontal asymptote which is 
The function
has a horizontal asymptote which is 
The function
has no horizontal asymptote because the numerator has a degree which is higher than the degree of the denominator,
The function
has a horizontal asymptote which is 
Answer:
The amount of heat required to raise the temperature of liquid water is 9605 kilo joule .
Step-by-step explanation:
Given as :
The mass of liquid water = 50 g
The initial temperature =
= 15°c
The final temperature =
= 100°c
The latent heat of vaporization of water = 2260.0 J/g
Let The amount of heat required to raise temperature = Q Joule
Now, From method
Heat = mass × latent heat × change in temperature
Or, Q = m × s × ΔT
or, Q = m × s × (
-
)
So, Q = 50 g × 2260.0 J/g × ( 100°c - 15°c )
Or, Q = 50 g × 2260.0 J/g × 85°c
∴ Q = 9,605,000 joule
Or, Q = 9,605 × 10³ joule
Or, Q = 9605 kilo joule
Hence The amount of heat required to raise the temperature of liquid water is 9605 kilo joule . Answer
Answer:

Step-by-step explanation:
6 and - 2 are the only two solutions to the required quadratic equation.
So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.
Therefore, the equation is
(X - 6)(X + 2) = 0
⇒
If the leading coefficient of the equation is 3 then we can write the equation as
(Answer)