Answer:
6
Step-by-step explanation:
I am not completely sure.
3x
if x=4 then it would be 12
if x=6 then it would be 18
if x=9 then it would be 27
if x=10 then it would be 30
the side is shorter than 19 but definitely longer than 6. To me, it looks like a little more than double, more of triple and 6 times 3 is 18.
If a > 0, b>0, show that f(x)= a(1-e^-bx)
Answer:
The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.
This value of Δy is not constant for a constant increase in production.
Step-by-step explanation:
We know that the production function is
, and in the current situation
and
.
With this information we can calculate the actual budget level:

The next year, with an increase in demand of 100 more automobiles, the production will be
.
If we calculate y for this new situation, we have:

The budget for the following year is 130.
The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

This value of Δy is not constant for a constant increase in production.
Answer:
The central angle for the cheese sector would be 108 degrees.
Step-by-step explanation:
We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.
Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.
30 of 100 students voted for cheese:
so the ratio would be 30/100 or 3/10
Now apply that to the total angle measure:
3/10*360 degrees= 108 degrees.
Answer:
1. yes
2, no
3. yes
4. yes
Step-by-step explanation:
1. yes
If both sets of opposite sides are congruent, the quadrilateral is a parallelogram.
2. no
We know two side lengths. We know nothing about the other 2 sides and also nothing about all 4 angles.
3. yes
The missing angle must be 102°. With both pairs of opposite angles congruent, it must be a parallelogram.
4. yes
With both pairs of opposite angles congruent, it must be a parallelogram.