450,500 because 120,000 and 330,000 and 500 thats the answer
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
b. False
Step-by-step explanation:
In a research study, when a researcher wants to find the impact of a new treatment, then the researcher randomly divides the the study participants into two groups. The groups are :
-- control group
-- treatment group
The control group is a group that is used to establish the cause-and-effect relationship by making the effect of an independent variable isolate. It receives no treatment or some standard treatment for the which the effect is already known.
The treatment group receives the treatment for which the effect the researcher is interested in.
Thus the averages of the four categorized groups are not required for estimating the difference.
Therefore, the answer is FALSE.
Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:
![sin\alpha=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
In this case you know that:
![\alpha =C](https://tex.z-dn.net/?f=%5Calpha%20%3DC)
Since triangle ABC is similar to triangle DEF:
![\angle C=\angle F](https://tex.z-dn.net/?f=%5Cangle%20C%3D%5Cangle%20F)
Let's begin with the triangle ABC.
You can identify that:
![opposite=AB\\hypotenuse=AC](https://tex.z-dn.net/?f=opposite%3DAB%5C%5Chypotenuse%3DAC)
Then, substituing values, you get:
![sinC=\frac{AB}{AC}](https://tex.z-dn.net/?f=sinC%3D%5Cfrac%7BAB%7D%7BAC%7D)
In triangle DEF, you know that:
![opposite=DE\\hypotenuse=DF](https://tex.z-dn.net/?f=opposite%3DDE%5C%5Chypotenuse%3DDF)
So, substituing values, you get:
![sinF=sinC=\frac{DE}{DF}](https://tex.z-dn.net/?f=sinF%3DsinC%3D%5Cfrac%7BDE%7D%7BDF%7D)
Answer:
2.45 tons
Step-by-step explanation:
square root of the sum of each number squared