Answer:
f=8
Step-by-step explanation:
0.62(f+(-6)+6.96=8.2
0.62(f-6)+6.96=8.2
multiply both sides by 100
0.62(f-6)*100+6.96*100=8.2*100
Refine
62(f-6)+696=820
Subtract 696 from both sides
62(f-6)+696-696=820-696
Simplify
62(f-6)=124
Divide both sides by 62
62(f-6)/62 = 124/62
Simplify
f-6=2
add 6 to both sides
f-6+6=2+6
simplify
f=8
Answer:
x=1 y=-9
Step-by-step explanation:
plug the given x and y values into the equation
y=-2(4)-1
y=-8-1
y=-9
1=-2x-1
+1 +1
2=-2x
/2 /2
1=x
This looks like an exercise that's building toward the idea of a derivative.
These calculations are done best with a calculator, but here's how the first interval is used:
Average velocity = (position at 2 - position at 1) / (2 - 1) It's really distance divided by time!
Position at t = 2:
![4\sin{(2\pi)}+3\cos{(2\pi)}=4(0)+3(1)=3](https://tex.z-dn.net/?f=4%5Csin%7B%282%5Cpi%29%7D%2B3%5Ccos%7B%282%5Cpi%29%7D%3D4%280%29%2B3%281%29%3D3)
Position at t = 1:
![4\sin{(\pi)}+3\cos{(\pi)}=4(0)+3(-1)=-3](https://tex.z-dn.net/?f=4%5Csin%7B%28%5Cpi%29%7D%2B3%5Ccos%7B%28%5Cpi%29%7D%3D4%280%29%2B3%28-1%29%3D-3)
So over the interval [1, 2] the average velocity is
![\frac{3-(-3)}{2-1} = \frac{6}{1} = 6](https://tex.z-dn.net/?f=%5Cfrac%7B3-%28-3%29%7D%7B2-1%7D%20%3D%20%5Cfrac%7B6%7D%7B1%7D%20%3D%206)
I used a spreadsheet to calculate the average velocity over the other intervals and a couple of shorter ones, too. (See attached image.)
As these intervals get shorter (the right endpoint is approaching 1), the average velocity gets closer and closer to the instantaneous velocity. An estimate would be -12.6.
Answer:
A one-liter bottle of soda has a mass of about 1 kilogram.
Answer:
No
Step-by-step explanation:
While both legs of the triangle are similar with a ratio of 3:4, the hypotenuses of the triangles have a ratio of 8:11