The answer: b><span><span><span>4<span> or </span></span>b</span><<span>−<span>5</span></span></span>
Answer:
60%
Step-by-step explanation:
Divide the amount of people who showed up by the total invited...
39/65 = 0.6
To convert a decimal to a percent, multiply the decimal by 100%...
0.6(100%) = 60%
1 mile = 1760 yards
20 * 1.151 = 23.02
23.02 * 1760 = 40,515.2
40,515.2 / 60 = 675.243~
675.243~ / 60 = 11.2542~
They are traveling 11.25 yards per second
I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Answer:
The overall average is $148,000
Step-by-step explanation:
120,000 740,00 divided by 5 is 148,000
120,000
120,000
190,000
+ 190,000
-------------
740,000
