Answer:
Step-by-step explanation:
Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.
Since they give you two points 
and 
for the line, use them to find the slope of the line that goes through them, with the formula: 
Therefore, the slope of the line must be 
Now, find the y-intercept (b) using the general form of a line with the given slope:
Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):
then the y-intercept must be 5. Therefore our line is : 
which appears listed as your second choice.
Answer:A. 10x. B. -2yz
Step-by-step explanation:
A. 4x+7x=11x
11x+(-x) = 11x-1x=10x
B. -5yz+yz=-4yz
-4yz+2yz=-2yz
Answer:
The function that would correctly calculate the 90% range of likely sample means is given by:
B. 4,200±CONFIDENCE.T(0.10,140,12)
Step-by-step explanation:
In Microsoft Excel, the syntax
returns the confidence interval for the population mean, using the students T-distribution.
The standard deviation is given as $140 and the sample size is 12.
In constructing the confidence interval we use:
Let us substitute the values to get:
We use the T distribution because 
is unknown
Since we must save 50 meals for volunteers, the real amount we are giving away is 700 meals in 12 hours.
700/12 = 58.3333...
10*58.333.. = 583.333....
Since we can't serve 1/3 of a person, we take 583. Hope this helps!
Answer:
8 inches
Step-by-step explanation:
The surface area of a cone (without the base) is given by:
Surface area = pi*r*s
Where r is the base radius and s is the slant height.
The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
So for the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
