Answer:
0
Step-by-step explanation:
h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1
The average rate of change is the change in h over the change in t.
(h(-1) − h(-5)) / (-1 − (-5))
= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)
= (4 + 5 − 4 − 5)) / 4
= 0
Answer:
16 and 40
Step-by-step explanation:
Greater than 8,
The highest common factor is 8, the lowest common multiple is 80.
So, the two numbers are greater than 8, divisible by 8 ( highest common factor.)
The two numbers are 16 and 40.
Hope this helps plz mark brainliest :D
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius
we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4
Rewrite as perfect squares
(x+1)²+(y-2²)+(z+4)²=4
(x+1)²+(y-2²)+(z+4)²=2²
the center is the point (-1,2,-4) and the radius is 2 units
Answer:
The degrees of freedom for this sample are 27.
The sample size to get a margin of error equal or less than 0.3656 is n=4450.
Step-by-step explanation:
The degrees of freedom for calculating the value of t are:
With 27 degrees of freedom and 95% confidence level, from a table we can get that the t-value is t=2.052.
The sample size to get a margin of error equal or less than 0.3656 can be calculated as:
I believe that would be 64C.
