Answer:
a. about 15.51 miles, rounded to 15.5 miles
b. about 31.02 miles, rounded to 31 miles
Step-by-step explanation:
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
10 20 40 80 160 320 640
1280 2560 5120 10240 20480 40960 81920
81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles
Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.
Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.
Answer:
Population 120 given the survey, sample 90 who answered the survey.
Step-by-step explanation:
The entire amount of employees who even received the surveys at all was 120. Because the total number was 120, 120 is the population.
Only 90 out of 120 surveys were received, so 90 is the sample because it is part of 120.
Hope this helps :)
For the derivative tests method, assume that the sphere is centered at the origin, and consider the
circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined
1
by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner
by
x2+y2+z2=r2 =⇒z= r2−(x2+y2).
Then the volume of a box with this coordinate for the corner is given by
V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),
and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the
boundary of this domain, so we need only consider critical points contained inside the domain in order
to carry this optimization out.
For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint
x2 + y2 + z2 = r2<span>. </span>
Answer:
x = -1 +/-2i
Step-by-step explanation:
Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.
x² + 2x + 5 = 0
Use the quadratic formula by substituting a= 1, b = 2 and c = 5.
Answer:
16
since it's the least that can be divided by both
