Hi, answer to your functional equation on the photo
Answer:
(a) 13.85 °C
Step-by-step explanation:
The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...
ΔT = 15(10/15)^(t/25)
We want to find the value of this at t=55. It is ...
ΔT = 15(2/3)^(55/25) ≈ 6.15
This is the amount the temperature of the drink is below room temperature.
drink temperature = (20 - 6.15) °C = 13.85 °C
The temperature of the drink after 55 minutes is about 13.85 °C.
20& 10/35 - 26/35
19& 16/35 simplified to it's fullest.
Answer:
Part A:
We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D
Therefore:
E = D + 3
Part B:
We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D
Therefore:
F = D - 5
Part C:
To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A
Therefore:
E - F = (D+3) - (D-5)
E - F = D + 3 - D + 5
E - F = 8
Hope this helps :)
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
Step 1: Write equation
9 - 2x = 7x
Step 2: Solve for <em>x</em>
<u>Add 2x on both sides:</u> 9 = 9x
<u>Divide both sides by 9:</u> x = 1
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9 - 2(1) = 7(1)
9 - 2 = 7
7 = 7