The solutions are where the quadratic is equal to 0, or when the quadratic crosses the x axis.
Where the quadratic crosses the x axis are the solutions:
6) x = –5, x = –6
7) x = 0, x = 1
8) x = –6, x = 1
9) x = –4, x = –3
To answer, first, convert the given velocity in km/h to m/s as shown below,
(144 km / hr) x (1000 m / 1 km) x (1 hr / 3600 s) = 40 m/s
The acceleration (a) is solved by through the equation,
a = (Vf - Vi) / Δt
where Vf and Vi are final and initial velocities, respectively and Δt is change in time. Substituting the known values,
a = (0 - 40 m/s) / 12 s = -3.3 m/s²
Thus, the answer to this item is letter B.
Answer:
lmk if u ended up with a retake or sum sorry nobody got bk to before it was due
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The population proportion is 
The margin of error is 
Given that the confidence level is 90%
Then the level of significance can be mathematically represented as
Next we obtain the level of significance from the normal distribution table the value is
Generally the sample size is mathematically represented as
![n = [ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1- p )](https://tex.z-dn.net/?f=n%20%20%3D%20%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20p%281-%20p%20%29)
substituting values
![n = [ \frac{1.645 }{0.04} ]^2 * 0.45(1- 0.45 )](https://tex.z-dn.net/?f=n%20%20%3D%20%5B%20%5Cfrac%7B1.645%20%7D%7B0.04%7D%20%5D%5E2%20%2A%20%200.45%281-%200.45%20%29)
We know that
4 1/3------> (4*3+1)/3------> 13/3 ft
[volume of a rectangular prism]=length*width*height
[volume of a rectangular prism]=(13/5)*3*5------> 39 ft³
the answer is
the volume of the toy box is 39 ft³
