Answer:
So the Correct option is
![a_{1}=17;\ d=-3](https://tex.z-dn.net/?f=a_%7B1%7D%3D17%3B%5C%20d%3D-3)
Step-by-step explanation:
Given:
Let
A(1, 17),
B(2, 14),
C(3, 11),
D(4, 8),
E(5, 5), and
F(6, 2) be the Points For The Sequence
Solution:
For the First Term
A( 1, 17 )
![a_{1}=17](https://tex.z-dn.net/?f=a_%7B1%7D%3D17)
For the second Term
B(2, 14),
![a_{2}=14](https://tex.z-dn.net/?f=a_%7B2%7D%3D14)
For the third Term
C(3, 11),
![a_{3}=11](https://tex.z-dn.net/?f=a_%7B3%7D%3D11)
For the fourth Term
D(4, 8),
![a_{4}=8](https://tex.z-dn.net/?f=a_%7B4%7D%3D8)
For the fifthTerm
E(5, 5)
![a_{5}=5](https://tex.z-dn.net/?f=a_%7B5%7D%3D5)
For the sixth Term
F( 6, 2 )
![a_{6}=2](https://tex.z-dn.net/?f=a_%7B6%7D%3D2)
Now Common Difference 'd' is given as
![d=a_{2}-a_{1}=14-17=-3\\\therefore d=-3](https://tex.z-dn.net/?f=d%3Da_%7B2%7D-a_%7B1%7D%3D14-17%3D-3%5C%5C%5Ctherefore%20d%3D-3)
So the Correct option is
![a_{1}=17;\ d=-3](https://tex.z-dn.net/?f=a_%7B1%7D%3D17%3B%5C%20d%3D-3)
Answer:
D
Step-by-step explanation:
At a national park in Wyoming, there was already 84 inches of snow on the ground.
Then, snow fell during a snowstorm at a rate of 1.5 inches per hour for 12 hours.
The linear function which describes this situation is
![y=84+1.5x,](https://tex.z-dn.net/?f=y%3D84%2B1.5x%2C)
where x is the number of hours since the snowstorm began, y is the number of inches of snow on the ground.
For the linear function
![y=mx+b,](https://tex.z-dn.net/?f=y%3Dmx%2Bb%2C)
the slope is m and the y-intercept is b.
Thus, the slope of this linear function is 1.5 and the meaning of the slope is 1.5 inches per hour and the y-intercept is 84 inches.
5 (the sides) x 0.8 = 4 meters
Answer:
Step-by-step explanation:
Given are the observations are on stabilized viscosity (cP) for specimens of a certain grade of asphalt with 18% rubber added:
2767 2924 3042 2844 2895
No of items = 5
If written in ascending order the order would be
2767 2844 2895 2924 3042
Hence median is the middle value in the ordered row = 2895
Mean = sum/5
=![\frac{14472}{5} =2894.4](https://tex.z-dn.net/?f=%5Cfrac%7B14472%7D%7B5%7D%20%3D2894.4)
Answer:
The volume of cone = Maximum holding of glass = 60 cube cm(cm^3)
Step-by-step explanation:
Cone formula:
The radius is 3cm and Volume is 60cm^3.
if pi =~ 3 So the "h" is 6.66 cm.
"h" is distance from cone's head to its base.
The "H"( height of glass) = 6.66 + 7 = 13.6 =~ 14