Answer: Hello there!
this type of equations in one dimension (when all the factors are constants) are written as:
h = initial position + initial velocity*t + (acceleration/2)*t^2
First, let's describe the hunter's equation:
We know that Graham moves with a velocity of 1.5 ft/s, and when he is 18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.
If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:
h = 18 + 1.5t
where t in seconds.
Now, the equation for the ball:
We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)
the equation for the ball is:
h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2
So the system is:
h = 18 + 1.5t
h = 5 +24t - 16.1t^2
so the right answer is A
The answer is D
You just need to subtract term 1 (5) from term 2 (10) to find the answer, and the common difference between each sequential term is 5
Answer:
12 correct answers
Step-by-step explanation:
Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a
Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:
Total score(main part)=8.3×a=8.3a points
She also solved a bonus question worth=11 points
Consider expression 1 below
The total score in the whole test=Total score in the main part+Bonus points, where;
Total score in the whole test=110.6 points
Total score in the main part=8.3a points
Bonus points=11 points
Substituting the values in expression 1:
8.3a+11=110.6
8.3a=110.6-11
8.3a/8.3=99.6/8.3
a=12
Number of correct answers in the main part=a=12
Answer:
1 year= $280
Step-by-step explanation:
30% of 400= 0.3 * 400= 120
400-120= 280
after one year the playstation cost 280
30% of 280= 0.3 * 280= 84
280-84= 196
after 2 years it cost $196
multiply the number by 0.3 to get 30% of the total
Answer:djd
Step-by-step explanation:weljfnw
