Answer:
210°F
110 minutes
Step-by-step explanation:
Given that :
Temperature of cake t minutes after being removed from oven :
f(x)=70+140e^-0.024t
Temperature T the timee it is removed ;
At this point, the time t = 0
f(t)=70+140e^-0.024t
f(x)=70+140e^-0.024(0)
= 70 + 140(1)
= 210°F
how long will it take for the cake to reach a temperature of 80oF
80 = 70+140e^-0.024t
80 - 70 = 140*e^-0.024t
10/140 = e^-0.024t
0.0714285 = e^-0.024t
In(0.0714285) = - 0.024t
−2.639057 = - 0.024t
t = 2.639057 / 0.024
t = 109.9607
t = 110 minutes
Answer: i think the awnser is c
Step-by-step explanation: hope it helps
Answer:
Yes. (see below)
Step-by-step explanation:
First, find the slope of the line. You can do that by using the slope formula:
y2 - y1
m = ----------
x2 - x1
Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).
4 - 3
m = ------
2 - 0
1
m = --- = 1/2
2
Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.
The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.
Now, plug them in:
y = mx + b
y = 1/2x + 3
To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:
13 = 1/2 (20) + 3
13 = 10 + 3
13 = 13
This is true, so the point (20, 13) is on this line.
Answer:
A)
Step-by-step explanation:
Angle should be in between two congruent sides.
The arms of ∠W are WX and ZW and these two sides are congruent to the arms of ∠Y , XY & YZ
Answer:
21 and 96
Step-by-step explanation:
Let x and y be the two numbers such that x>y.
As the sum of both the numbers is 96.
x+y=96...(i)
As the larger number is nine less than four times the smaller number,
So, x=4y-9
From equation (i),
4y-9+y=96
5y=96+9=105
So, y=105/5=21
By using equation (i),
x=96-y=96-21=75
Hence, both the numbers are 21 and 96.
