Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:
![S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Ba%281%20-%20r%5En%29%20%7D%7B1%20-%20r%7D%20%5C%5CS_5%20%3D%20%20%5Cfrac%7B60%281%20-%200.5%5E5%29%20%7D%7B1%20-%200.5%7D%5C%5CS_5%20%3D%20%20%5Cfrac%7B58.125%7D%7B0.5%7D%20%5C%5CS_5%20%3D%20116.25%20m)
Answer: Question 1 :B,D.
Question 2:option B,
Question 3:Degree=5.
Question 4:option D.
Question 5: option c.
Step-by-step explanation:
1) A polynomial can not have any exponent as a variable or a fraction.
Options B and D are polynomials.
2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.
3) Degree is the highest power of the variables in the terms .The term
has the power=3+2=5
So degree =5.
4)![(5x-2+3x^{2} )+(4x+3)=3x^{2} +5x+4x-2+3=3x^{2}+9x+1.](https://tex.z-dn.net/?f=%285x-2%2B3x%5E%7B2%7D%20%29%2B%284x%2B3%29%3D3x%5E%7B2%7D%20%2B5x%2B4x-2%2B3%3D3x%5E%7B2%7D%2B9x%2B1.)
Option D
5)![(5x^{2} +2x-5)-(3x^{2}+3x+1)= 5x^{2}+2x-5-3 x^{2}-3x-1](https://tex.z-dn.net/?f=%285x%5E%7B2%7D%20%2B2x-5%29-%283x%5E%7B2%7D%2B3x%2B1%29%3D%205x%5E%7B2%7D%2B2x-5-3%20x%5E%7B2%7D-3x-1)
Simplifying like terms,
=![2x^{2}-x-6.](https://tex.z-dn.net/?f=2x%5E%7B2%7D-x-6.)
Option c.
Answer:
An estimate
Step-by-step explanation:
Answer:
i do not understand
Step-by-step explanation:
Answer:
-8±10x
Step-by-step explanation:
you will follow BODMAS
B=bracket
O= off
D=division
M=multiplication
A=addition
S=subtraction
2×3=6
7×2=14
[6-14±10x-8]÷[x-2]
14±8=22
6-22=-16
[-16±10x]÷[x-2]=-8±10x