Answer:
18 hours for Dwight, 9 hours for Jake
Step-by-step explanation:
If J is the time it takes for Jake working alone, and D is the time it takes for Dwight working alone, then:
J = D − 9
Working together, Jake's speed plus Dwight's speed equals 1 cord per 6 hours.
1 / J + 1 / D = 1 / 6
Solve the system of equations by substituting for J:
1 / (D − 9) + 1 / D = 1 / 6
Multiply both sides by D − 9.
1 + (D − 9) / D = (D − 9) / 6
Multiply both sides by D:
D + D − 9 = D (D − 9) / 6
Simplify and solve:
2D − 9 = (D² − 9D) / 6
12D − 54 = D² − 9D
0 = D² − 21D + 54
0 = (D − 3) (D − 18)
D = 3 or 18
Since J = D − 9, D must be greater than 9. So D = 18 and J = 9.
That means it takes Dwight 18 hours working alone, and it takes Jake 9 hours working alone.
Answer:
b
Step-by-step explanation:
null hypothesis will be book sales are related to bakery sales.
We reject null hypothesis if we do not have statistical evidence that there is significant relationship between book sales and bakery sales.
Answer:
Hello,
Step-by-step explanation:
![I=\dfrac{Area}{4} =\int\limits^4_0 {\sqrt{16-x^2} } \, dx \\\\Let\ say\ x=4*sin(t),\ dx=4*cos(t) dt\\\\\displaystyle I=\int\limits^\frac{\pi }{2} _0 {4*\sqrt{1-sin^2(t)} }*4*cos(t) \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {cos^2(t)} \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {\frac{1-cos(2t)}{2}} \, dt \\\\=8*[t]^\frac{\pi }{2} _0-[\frac{sin(2t)}{2} ]^\frac{\pi }{2} _0\\\\=4\pi -0\\\\=4\pi\\\\\boxed{Area=4*I=16\pi}\\](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BArea%7D%7B4%7D%20%3D%5Cint%5Climits%5E4_0%20%7B%5Csqrt%7B16-x%5E2%7D%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5CLet%5C%20say%5C%20x%3D4%2Asin%28t%29%2C%5C%20dx%3D4%2Acos%28t%29%20dt%5C%5C%5C%5C%5Cdisplaystyle%20I%3D%5Cint%5Climits%5E%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20_0%20%7B4%2A%5Csqrt%7B1-sin%5E2%28t%29%7D%20%7D%2A4%2Acos%28t%29%20%5C%2C%20dt%20%5C%5C%5C%5C%3D16%2A%5Cint%5Climits%5E%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20_0%20%7Bcos%5E2%28t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%3D16%2A%5Cint%5Climits%5E%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20_0%20%7B%5Cfrac%7B1-cos%282t%29%7D%7B2%7D%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%3D8%2A%5Bt%5D%5E%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20_0-%5B%5Cfrac%7Bsin%282t%29%7D%7B2%7D%20%5D%5E%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20_0%5C%5C%5C%5C%3D4%5Cpi%20-0%5C%5C%5C%5C%3D4%5Cpi%5C%5C%5C%5C%5Cboxed%7BArea%3D4%2AI%3D16%5Cpi%7D%5C%5C)
9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
Answer:
ohh good one.. the answer is.. i dont know.
Step-by-step explanation:
