Answer:
750 ft^3
Step-by-step explanation:
Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;
volume scale factor = (linear scale factor)^3
= 2.5^3 = 125/8
The volume of Cone B will thus be;
volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3
<u>Answer:</u>
Jacara and Jurnee have $ 710000 and $ 390000 respectively as amounts.
<u>Step-by-step explanation:</u>
Let, Jacara's and Jurnee's amounts be $ x and $ y respectively.
According to the question,
20 % of the total amount = $ 220,000
So, total amount = $
=$ 1100,000
According to the question,
x + y = 1100,000 -----------(1)
and, x =
-----------(2)
from (1), x = 1100,000 - y--------------(3)
Deducting (2) from (3),

⇒ y = 
⇒ y = 390000-------------------(4)
from (1) and (4),
x = 1100,000 - 390000
= 710000---------------(5)
Answer:
f(t)= 11 in - 1.3 in/h *t
Step-by-step explanation:
defining the length of the candle as L , then since the candle burns at a constant rate , then
-dL/dt = 1.3 in/h = a
therefore
-∫dL = a∫dt
-L(t)=a*t + C , C=constant
at t=0 , the length of the candle is L₀= 11 in ,thus
-L₀=a*0 + C → C= -L₀
replacing the value of C
-L(t)=a*t - L₀
L(t) = L₀ - a*t = 11 in - 1.3 in/h *t
then
f(t)= 11 in - 1.3 in/h *t
Answer:
<span>r≤−10∪r≥4</span>
Explanation:
<span><span>|<span>r+3</span>|</span>≥7</span>
SOLUTION 1
<span>r+3≥7</span>
<span>r≥4</span>
SOLUTION 2
<span>r+3≤−7</span>
<span>r≤−10</span>
Since the two inequalities do not intersect when graphed, the solution set is
<span>r≤−10∪r≥<span>4 </span></span>