The vertex of the parabola is (0,4), because you can use -b/2a to find the x coordinate a of the vertex. There is no b so b=0 and 0/anything is 0. Then you can plug 0 into the equation to find the y coordinate of the vertex. When you plug in 0 you get 4, so the vertex is (0,4)
Step-by-step explanation:
1. 4 3/4=19/4
53/2=13/2
the total change of square will be. 19/4 + 13/2= 19+26/4=45/4
2. total change is 0.7+0.4=1.1
3.-7 1/6= -43/6
3 5/6= 23/6
-43/6 + 23/6 =-20/6 = -10/3
4. metals=2.625(m)
paper=5.58(p)
glass= x
total = 9.5(t)
m + p + x = t
2.625 + 5.58 + x =9.5
8.205 + x = 9.5
x = 9.5 - 8.205
x = 1.295
Hope That Helped
Answer:
51.72 cm.
Step-by-step explanation:
We have been given that a pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. We are asked to find the length of the pipe.
First of all, we will find the wavelength using following formula.


We know that Hz is equal to
.




Length of the pipe would be half of the wave-length.

Since the length of pipe is in meters, so we will convert it into cm.
1 m = 100 cm

Therefore, the length of the pipe would be 51.72 cm.
Answer: 15
Step-by-step explanation:
=(−5−4)2+(−4−8)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
d=(−5−4)2+(−4−8)2
=(−9)2+(−12)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
d=(−9)2+(−12)2
=81+144‾‾‾‾‾‾‾‾‾√
d=81+144
=2‾√25
d=225
=15
0.24%=.0024
Expected value=100000 x 0.0024=$240