71000 is in the standard form of 7.1 x 10^-3 .
Step-by-step explanation:
I wish if I could explain you with steps but this is the question I've never done with steps. I always give direct answers from those questions !!
Answer:
![y=13x+32](https://tex.z-dn.net/?f=y%3D13x%2B32)
149 engines in 9th year
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph
- (x1, y1) = (2,60)
- (x2, y2) = (5,99)
The standard form of a linear equation is:
y = mx + b where:
- m is the slope
- b is the y-intercept
We know the slope of the function can be found as following:
so in this situation we have:
<=> ![m=\frac{99-60}{5-2}=\frac{39}{3}=13](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B99-60%7D%7B5-2%7D%3D%5Cfrac%7B39%7D%7B3%7D%3D13)
=> y = 13x + b (1)
Because the line goes through point (2,60) so we substitute it into (1):
60 = 13*2 + b
<=> b = 60 - 26 = 34
=> y = 13x + 34
Now we will substitute x=9 to find the engines produced by company in 9th year as:
![y=13(9)+32\\y=117+32=149](https://tex.z-dn.net/?f=y%3D13%289%29%2B32%5C%5Cy%3D117%2B32%3D149)
Hence, the company will produce 149 engines in 9th year
Hello from MrBillDoesMath!
Answer:
@ = pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)
Discussion:
Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)
where
4cos(@) - 2 = 0. Adding 2 to both sides
4 cos(@) - 2 +2 = 2 =>
4 cos(@) = 2 Divide both sides by 4
cos(@) = 2/4 = 0.5
This implies that @ = pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)
Thank you,
MrB
A) The probability that there are no boys in the car is given by:
Answer:
5 mins
Step-by-step explanation:
680/4
=170 meters (quarter of 680m)
170/34
=5 mins