Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
9514 1404 393
Answer:
(a) (4, 8)
Step-by-step explanation:
Apply the transformation rule to the coordinates of point H.
(x, y) → (x +8, y +5)
H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)
Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
Answer:
Victoria can Make 2 more Italian sodas
Step-by-step explanation:
She had 3 but used one so 3 - 1 = 2 then she has two more so 2 + 1 = 3
Answer:
<em>$180.</em>
Step-by-step explanation:
First lets find the <em>interest rate.</em>
<em>6.1 ÷ 100 = 0.061</em>
<em>0.061 x $200 = 12.2</em>
based on the calculations, <em>12.2</em> is our interest rate <em>in a year</em>. Now lets find the interest rate in <em>15 years</em>.
<em>12.2 x 15 = $183 </em>
So <em>$183</em> is our<em> precise</em> interest rate in <em>15 years</em>, but lets<em> round the interest rate to the nearest 10 dollars.</em> Therefore, <em>$180 is our answer.</em>