Not difference of cubes since it is 2nd degree
not difference of squares since it is plus
not sum of cubes because 2nd degreee
answer is square of binomial (why do we even need this property, oh well)
C
Answer:
Multiple answers
Step-by-step explanation:
Considering that 8.1% of Americans have the disease:
If our theoretical group is of 10,000. We know that the 8.1% of our group have diabetes, so we multiplify 10,000 × .081(the percentaje) = 810. This is the total of adults in our group that have diabetes.
Now:
- We know that the test correctly diagnoses 95% of adults with diabetes. In our case the total of adults with diabetes is 810, so we multiplify 810 × .95(percentaje) = 769.50.
- We know too that the test incorrectly diagnoses 3.5% of the adults. In our case the total of adults with diabetes is 810, so we multiplify 810 × .035(percentaje) = 28.35.
- The total of adults the test diagnoses positive with diabetes should be the correctly and incorrectly we calculate previously. 769.50 + 28.35 = 797.85
- The total of test negative diagnoses should be the total of our group less the positive diagnoses. 10,000 - 797.85 = 9,202.15
- Total do not have diabetes:
- The total of adults do not have diabetes is the total of our group less the total of adults in our group that have diabetes. 10,000 - 810 = 9190
We expect that only the 95% of test positive for diabetes have the disease.
- 810 × .95(percentaje) = 769.50.
We expect that only the 5% (100% - 95% of test positive) of the 8.1% of americans afflicted with diabetes of negative test actually have the disease. 8.1 × .05(percentaje) = .40%, 9,202.15 ×.004(percentaje) = 36.80.
The 3.5% of Americans who test positive will not have the disease because this is the percentaje that the test incorrectly diagnoses.
Answer:
B) 25
Step-by-step explanation:
Given exponential function:
The growth factor between 
and 
is 25.
To find the growth factor between 
and 
Solution:
The growth factor of an exponential function in the interval 
and 
is given by :
We can check this by plugging in the given points.
The growth factor between and would be calculated as:
Plugging in values.
(On canceling the common terms)
(Using quotient property of exponents 
)
∴ 
Similarly the growth factor between and would be:
Plugging in values.
(On canceling the common terms)
(Using quotient property of exponents )
∴
Thus, the growth factor remains the same which is =25.
Answer:
dz / dt = -50
Step-by-step explanation:
To solve the chain rule must apply, we have all the necessary values to make the calculation, as follows:
using the chain rule, we find:
dz / dt = (∂z / ∂x) * (∂x / ∂t) + (∂z / ∂y) * (∂y / ∂t)
Evaluating when t = 9, we have to:
fx (6, 4) * g '(9) + fy (6, 4) * h '(9)
We know that g '(9) = −6; h '(9) = 4; fx (6, 4) = 9; fy (6, 4) = 1
Replacing:
(9 * -6) + (1 * 4) = -50
Por lo tanto dz / dt = -50
