Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees
chocolate: experimental 100 theoretical 165
vanilla: experimental 100 theoretical 135
Mint chip: experimental 100 theoretical 100
banana:experimental 100 theoretical 30
<em>BRAINLYEST PLZ PLZ PLEASE </em>
Answer: DC=30.5
Step-by-step explanation:
Use trigonometry to solve this question
----------------------------------------------------------
First Step: find BD
- AB relative to 54° is [hypotenues]
- BD relative to 54° is [opposite]
- Therefore, we need to use O/H, which is Sin
- sin(54°)=O/20=20·sin(54°)=16.2
Second Step: Find DC
- DC relative to 28° is [adjacent]
- BD relative to 28° is [opposite]
- Therefore, we need to use O/A, which is tan
- tan(28°)=16.2/A=16.2/tan(28°)=30.5
Hope this helps!! :)
Please let me know if you have any questions
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
=============================================
Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
--------
Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
