Answer:
t = 0.53 hr
Step-by-step explanation:
We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:
(3.5 mph)(t) + (4mph)(t) = 4 mi
Combining these terms:
(7.5 mph)(t) = 4 mi
4 mi
Solving for t: t = ---------------- = 0.53 hr
7.5 mph
D^2=x^2+y^2
d^2=(310+150cos20)^2+(150sin20)^2
d^2=205991.41373309
d=453.86mi
So C. to the nearest mile.
We know that
step 1the area to install tiles is equal to A
A=area rectangle-area of a circle
area of a rectangle=(13+x)*x-----> (13x+x²) ft²
area of a circle=pi*r²-----> pi*6²------> 36*pi ft²
A=(x²+13x)-36*pi ft²
step 2
find the cost of installing tiles CT
CT=$1*[(x²+13x)-36*pi]-----> CT=$x²+$13x-$36*pi
step 3
find the cost <span>the of installing the pond CP
CP=$0.62*36*pi------> CP$22.32*pi
step 4
find the inequality
we know that
CT+CP </span>

<span> $536
[</span>$x²+$13x-$36*pi]+[$22.32*pi]

$536
[$x²+$13x-$13.68*pi]

$536
the answer is the option D
Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
The volume of the display is 900 cubic inches.
The formula for the volume of a prism is L x W x H.
In the small shape, we have: 5 x 5 x 12 = 300
In the large shape, we have: 5 x 5 x 24 = 600
Add them together and we have 900 cubic inches.