Hi Brainiac
7r= 10+5
7r= 15
Divide both sides by 7
7r/7= 15/7
r= 5/7
or the decimal will be r= 2.14
I hope that's help:0
Answer:
Step-by-step explanation:
dy/dx = 2x +4 = 2*1 +4 = 6
3+4x<2(1+2x)
-2(x+6)< x-20
x-9 < 3 (x-3)
Answer: The answer is B, 3+4x<2(1+2x).
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer:
The one on the bottom left.
Step-by-step explanation:
To find out which one is a function, we would use the vertical line test. First you create a vertical line with your finger, pencil, or another object. If there are two dots that pass a vertical line, it would not be a function. Only one dot can cross the vertical line for it to be a function.
2) After how many minutes will the coffee be 100 degrees?
The temperature of the coffee after 16 minutes is 134 degrees and after 1.3 minutes the coffee be 100 degrees.
A differential equation is an equation that contains one or more functions with its derivatives.
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees.
After 6 minutes, the coffee is 139 degrees.
Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
T=∫k(t-66)dt
=k(t²/2-66)+c
When t=0 and T=181
181=k(0-66)+c
181=-66k+c
when t=6, T=139
139=k(6²/2-66)+c
139=-48k+c
-42=-18k
Divide both sides by 18
k=7/3
139=-48×7/3+c
c=139+112=251
T=7/3(t-66)+251
The temperature of the coffee after 16 minutes
T=7/3(16-66)+251
T=7/3(-50)+251
T=134 degrees
After how many minutes will the coffee be 100 degrees
100=7/3(t-66)+251
100=7/3t-7/3(66)+251
100=7/3t-154+251
100=7/3t+97
100-97=7/3t
3=7/3t
9/7=t
1.3=t
Hence, the temperature of the coffee after 16 minutes is 134 degrees and after 1.3 minutes the coffee be 100 degrees.
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Answer:
Step-by-step explanation: