212°F
147°F
23.2 min
1) Initial temperature for t=0
T(0)=68+144e^(0)=68+144=212°F
2) After 15 min
T(15)=68+144e^(-0.04*15)=68+144e^(-0.6)=147°F
3) 125°F -> t=?
125=68+144e^(-0.04t)
144e^(-0.04t)=125-68=57
e^(-0.04t)=57/144=0.4 you can apply ln on both sides:
-0.04t=ln(0.4) solving you get t=23.3 min
the answer is this quantity mean parenthesis 5+(a-6)
Answer:
C. Must be 1
Step-by-step explanation:
The correlation coefficient of an equation represents the relation between the two variable ( dependent and independent )
It lies between -1 to 1,
If an equation has strongly positive correlation then the value of correlation coefficient is 1,
If there is no relation then the value of correlation is 0,
If there is strongly negative relation then the value of correlation coefficient is -1,
Here, the equation is,
y = 2 + 3x
Since, the value of y is increasing with increasing the value of x,
We can say that there is strong positive relation between the variables x and y,
Hence, by the above statements,
The correlation coefficient between y and x in this data set must be 1.
Option 'C' is correct.
Answer:
x=5
Step-by-step explanation:
From this information we know that,
Hope it helps :)
Answer:
square; perimeter 20 units; area 25 square units.
Step-by-step explanation:
As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.
The figure is a square of side length 5 units.
The perimeter is 20 units; the area is 25 square units.
