Answer:
6.23*10^6
Step-by-step explanation:
We first write the answer in full notation 6,230,000.
Then we count how many decimal places it takes before we have one leading digit. Since it is six, we move the decimal place and write 6.23*10^6
It’s would be 4/25
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Answer:
x = 5/4
Step-by-step explanation:
(x)4/5=1
Simplify both sides of equation
4/5x=1
Multiply both sides by 5/4
5/4*4/5x = 1*5/4
x=5/4
Answer:
A. 10x+18=48
Step-by-step explanation:
She uses x eggs per cake, and she bakes 10 cakes. She has 18 eggs left over. So the product of the 10 cakes and the number of eggs she used for each cake, plus the 18 eggs left over will get you the ending answer of 48.
Complete question :
A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The
ambient temperature is 80 degrees Fahrenheit. After 2 minutes the temperature of the steel is 1,500 degrees. The function
f(t) = Ce^-kt + 80 represents the situation, where t is time in minutes, C is a constant, and k is a constant.
After 2 minutes the temperature of the steel is 1,500 degrees. After how many minutes will the temperature of the steel be
100 degrees and therefore safe to pick up with bare hands? Round your answer to the nearest whole number, and do not.
include units.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the exponential function :
f(t) = Ce^(-kt) + 80
t = time in minutes ; k = constant ; C = constant; Initial temperature = 2500 = temperature at t = 0
Hence,
2500 = Ce^k*0 + 80
2500 = C + 80
C = 2500 - 80
C = 2420
Temperature after 2 minutes ; t = 2 minutes
1500 = 2420e^-k*2 + 80
1500 = 2420e^-2k + 80
1500 - 80 = 2420e^-2k
1420 = 2420e^2k
1420 / 2420 = e^-2k
0.58677 = e^-2k
Take the In of both sides
In(0.58677) = - 2k
−0.533122 = - 2k
k = 0.533122 / 2
k = 0.2665
k = 0.2667
Time at which temperature falls to 100
f(t) = Ce^(-kt) + 80
100 = 2420 * e^(-0.267t) + 80
100 - 80 = 2420 * e^(-0.267t)
20 = 2420 * e^(-0.267t)
Divide both sides by 2420
0.0082644 = e^(-0.267t)
Take In of both sides
−4.795790 = - 0.267t
Divide through by - 0.267
t = 17.96176
t = 17.96 minutes
