Answer:
1.7m
Step-by-step explanation:
Given that 'm' was the waiting time before the outbreak
After the outbreak, waiting time increased by 70%.
This implies that :
70% of m increase
m + 70% of m
m + 70/100 of m
m + ( 70÷100 ) × m
m + 0.7m
= 1.7m
Answer:
Direct.
Step-by-step explanation:
A varies directly as the square of r.
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:
=6
Step-by-step explanation:
find the LCM of the two denominators 3 and 6 which is 6
equate in that such that 6÷3*2x=4x
6÷6×x=x
add the two=5x
5x/6=5
multiply by six both sides
5x=30
divide both sides by 5 to get x
x=6
hope it helps
Answer:
769MIN
Step-by-step explanation:
Hello!
To solve this problem we must use the straight line equation, this equation is as follows
Y=mx+b
where
X= time
Y=Temperature
b=
intercept with the y axis when x = 0, therefore y = 400
m=k=
temperature decrease with respect to time=-0.325
now we replace the values in the equation of the line
Y=-0.325X+400
Now we find the time it takes for the pizza to reach 150 F replacing in the equation and finding X
150=-0.325X+400
150-400=-0.325X+
