With the given hint to be able to answer the question above, the equation for Newton's law of cooling is as follows:
T(t) = T(s) + (T0 - Ts)e^-kt
where T(t) is the body's temperature at any given time, Ts is the temperature of the surrounding, T0 is the initial temperature, and k is constant.
Substituting the values with the given above,
T(t) = 76 + (170 - 76)*e^(-0.34)(7)
This gives us the answer,
T(t) = 84.7 degrees F
Answer:
It will have complex and different roots.
Step-by-step explanation:
The solution is attached in the image below:
Answer:
triangular prism
Step-by-step explanation:
A triangular prism has 3 rectangular sides and 2 triangles as the base
Answer:
Sides in descending order: YZ > ZX > XY
Step-by-step explanation:
Sum of all angles of triangle = 180
104 +52 + ∠Z = 180
156 + ∠Z = 180
∠Z = 180 - 156
Z = 24
The sides opposite to the biggest is the longest side.
Angles in descending order: ∠X > ∠Y > ∠Z
<h3>
Sides in descending order: YZ > ZX > XY</h3>
Answer:
(a) The equation is
.
(b) Trey gets approximately $8.29 for each hour of work.
Step-by-step explanation:
Given:
Number of hours Trey works = 7
Amount of money he put aside for mom = $2
Total Amount he keeps each day = $56
We need to find the amount he gets for each hour.
Let 'h' represent the amount (in dollars) Trey gets paid each hour.
Solving for part (a).
We need to write the equation to find the amount he gets paid for each hour.
Now we can say that;
Total Amount he keeps each day is equal to Number of hours Trey works multiplied by the amount he gets paid for each hour minus Amount of money he put aside for mom.
framing in equation form we get;

Hence the equation is
.
Solving for part (b).
we need to solve the above equation to find the amount he gets paid for each hour.
On solving the equation we get;
Adding both side by 2 we get

Now Dividing both side by 7 using Division Property we get;

Hence Trey gets approximately $8.29 for each hour of work.