Answer:
Point A is in the interior of both circles
Step-by-step explanation:
<u><em>Verify each point</em></u>
we know that
Point H is in the interior of greater circle but is outside smaller circle
Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle
Point B is on the smaller circle and is in the interior of greater circle
therefore
Point A is in the interior of both circles
Answer:
Median: 89
Mean: 87.5
Step-by-step explanation:
86, 90, 93, 85, 79, 92
93, 85
93 + 85
178
178/2
89
86 + 90 + 93 + 85 + 79 + 92
525
525/6
87.5
Answer:
Part A:
P(x)=15x^4+30x^3-50
Part B:
P(4)=$4270
Step-by-step explanation:
Part A:
In order to find the profit function P(x) we have to integrate the P'(x)
P'(x)=x(60x^2+90x)
P'(x)=60x^3+90x^2

P(x)=15x^4+30x^3+C
when x=0, C=-50
P(x)=15x^4+30x^3-50
Part B:
x=4
P(x)=15x^4+30x^3-50
P(4)=15*4^4+30*4^3-50
P(4)=$4270
Profit from selling 400 pounds is $4270
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Answer:
24
Step-by-step explanation:
the rate of change is represented by the 24, just like in the slope-intercept equation y = mx + b, where "m" represents the slope, or rate of change.