Answer:
107%
Step-by-step explanation:
because if we look at the x-axis, Discount (%)
and look at 35 which is between 30 and 40
and start going up we get near 100
so
107%
or?
we use the two points and with that we find the slope first
![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
plug in (20,62) and (10,32)
equals
![\frac{-30}{-10}](https://tex.z-dn.net/?f=%5Cfrac%7B-30%7D%7B-10%7D)
simplify to 3
then we use
y - y1 = m (x - x1)
y - 62 = 3 (x - 20)
y - 62 = 3x - 60
add 60 from both sides
y - 2 = 3x
add 2 to both sides
y=3x+2
then plug in 35
y= 3(35) + 2
which is
107
Answer:
You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
15x2=30
10x3=30
I am so sorry for giving you the wrong answer at first.
Here's the processs
1x=-0.5555
Move the decimal point in the repeating decimal one space forward
10x=-5.55555
Then subtract
10x=5.5555
x=-0.5555= 9x=-5
Divide both sides by 9
9x=-5
9x/9=-5/9
-5/9 is your final answer!
Hope this helps!
Answer:r'=0.327 m
Step-by-step explanation:
Given
![N=2.85 rev/s](https://tex.z-dn.net/?f=N%3D2.85%20rev%2Fs)
angular velocity ![\omega =2\pi N=17.90 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D2%5Cpi%20N%3D17.90%20rad%2Fs)
mass of objects ![m=1.5 kg](https://tex.z-dn.net/?f=m%3D1.5%20kg)
distance of objects from stool ![r_1=0.789 m](https://tex.z-dn.net/?f=r_1%3D0.789%20m)
Combined moment of inertia of stool and student ![=5.53 kg.m^2](https://tex.z-dn.net/?f=%3D5.53%20kg.m%5E2)
Now student pull off his hands so as to increase its speed to 3.60 rev/s
![\omega _2=2\pi N_2](https://tex.z-dn.net/?f=%5Comega%20_2%3D2%5Cpi%20N_2)
![\omega _2=2\pi 3.6=22.62 rad/s](https://tex.z-dn.net/?f=%5Comega%20_2%3D2%5Cpi%203.6%3D22.62%20rad%2Fs)
Initial moment of inertia of two masses ![I_0=2mr_^2](https://tex.z-dn.net/?f=I_0%3D2mr_%5E2)
![I_0=2\times 1.5\times (0.789)^2=1.867](https://tex.z-dn.net/?f=I_0%3D2%5Ctimes%201.5%5Ctimes%20%280.789%29%5E2%3D1.867)
After Pulling off hands so that r' is the distance of masses from stool
![I_0'=2\times 1.5\times (r')^2](https://tex.z-dn.net/?f=I_0%27%3D2%5Ctimes%201.5%5Ctimes%20%28r%27%29%5E2)
Conserving angular momentum
![I_1\omega =I_2\omega _2](https://tex.z-dn.net/?f=I_1%5Comega%20%3DI_2%5Comega%20_2)
![(5.53+1.867)\cdot 17.90=(5.53+I_o')\cdot 22.62](https://tex.z-dn.net/?f=%285.53%2B1.867%29%5Ccdot%2017.90%3D%285.53%2BI_o%27%29%5Ccdot%2022.62)
![I_0'=1.397\times 0.791](https://tex.z-dn.net/?f=I_0%27%3D1.397%5Ctimes%200.791)
![I_0'=5.851](https://tex.z-dn.net/?f=I_0%27%3D5.851)
![5.53+2\times 1.5\times (r')^2=5.851](https://tex.z-dn.net/?f=5.53%2B2%5Ctimes%201.5%5Ctimes%20%28r%27%29%5E2%3D5.851)
![2\times 1.5\times (r')^2=0.321](https://tex.z-dn.net/?f=2%5Ctimes%201.5%5Ctimes%20%28r%27%29%5E2%3D0.321)
![r'^2=0.107009](https://tex.z-dn.net/?f=r%27%5E2%3D0.107009)
![r'=0.327 m](https://tex.z-dn.net/?f=r%27%3D0.327%20m)