Answer:
42.25
Step-by-step explanation:
65*35%=22.75
65-22.75=42.25
Answer:
Yes
Step-by-step explanation:
f(x)=3 x-2
y= 3 x-2
x= 3y - 2
3 y -2 = x
3 y -2 + 2 = x + 2
<u>3 y </u> = <u>x </u> + <u>2</u>
3 3 3
<u>3 y </u> = <u>x </u> + <u>2 </u>
3 3 3
y = <u>x </u> + <u>2 </u> replace y with f ^ -1(x)
<em> </em> 3 3
f ^-1 (x) = <u>x</u> + <u>2 </u>
3 3
Answer:
56
Step-by-step explanation:
The thing to realize is that the total of both angles that have x in them is that they add to 145. That's given.
<LKM + <MKN = 145
2x + 10 + 4x - 3 = 145 Combine like terms
6x + 7 = 145 Subtract 7 from both sides
6x = 138 Divide by 6
x = 138/6
x = 23
That's not the answer.
2x + 10 = <LKM
2*23 + 10 = <LKM
46 + 10 = <LKM
56 = <LKM
Answer:
This study uses random sampling
This study uses a control group
This study uses a repeated measures design
Answer:
F = 3x +(2.7×10^7)/x
Step-by-step explanation:
The formulas for area and perimeter of a rectangle can be used to find the desired function.
<h3>Area</h3>
The area of the rectangle will be the product of its dimensions:
A = LW
Using the given values, we have ...
13.5×10^6 = xy
Solving for y gives ...
y = (13.5×10^6)/x
<h3>Perimeter</h3>
The perimeter of the rectangle is the sum of the side lengths:
P = 2(L+W) = 2(x+y)
<h3>Fence length</h3>
The total amount of fence required is the perimeter plus one more section that is x feet long.
F = 2(x +y) +x = 3x +2y
Substituting for y, we have a function of x:
F = 3x +(2.7×10^7)/x
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<em>Additional comment</em>
The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.
