Answer:
the slope, m, is -6
Step-by-step explanation:
One of the most commonly used equations for a straight line is y = mx + b, where m is the slope and b is the y-intercept.
Comparing y=4-6x to y = b + mx, we see that the slope, m, is -6 and the y-intercept, b, is 4.
24987.2 meters cubed.
Step-by-step explanation:
A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.
The volume of a sphere is V= (4/3)πr3
The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,
45.7m, by 2. So r = 22.85 meters
so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.
Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.
Answer:
102
Step-by-step explanation:
We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:
z = (x - m) / sd
In the first case x = 148:
z = (148 - 128.5) /8.2
z = 2.37
In the second case x = 102:
z = (102 - 128.5) /8.2
z = -3.23
In the first case x = 152:
z = (152 - 128.5) /8.2
z = 2.86
The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.
The quotient is 10.6 the answer is B.
Answer:
A=152
K= -Ln(0.5)/14
Step-by-step explanation:
You can obtain two equations with the given information:
T(14 minutes) = 114◦C
T(28 minutes)=152◦C
Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:
Applying the following property of exponentials numbers in (II):
Therefore 
can be written as 
Replacing (I) in the previous equation:
Solving for k:
Subtracting 190 both sides, dividing by -76:
Applying the base e logarithm both sides:
Ln(0.5)= -14k
Dividing by -14:
k= -Ln(0.5)/14
Replacing k in (I) and solving for A:
Dividing by 0.5
A=152
