Answer:
Step-by-step explanation:
36/100=0.36 - 1%
8*0.36=2.88$
Answer:
= 5n - 2
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 , then
a₁ + 3d = 18 , that is
3 + 3d = 18 ( subtract 3 from both sides )
3d = 15 (divide both sides by 3 )
d = 5
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule
Use Pythagorean Theorem: a^2+b^2=c^2.
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
Answer:
Parker ran 2.76 miles
Step-by-step explanation:
distance = speed x time
First, we have to convert 27 minutes and 39 seconds to minutes only we do this with 39/60 because then the seconds divide by total seconds and we can use it as a decimal
39/60 = .65
So it took 27.65 total minutes now we must convert it to hours, so that the 6 MILES per hour has matching terms, we do this by dividing 27.65 by 60 (theres 60 total minutes in an hour)
So it took 0.460833333 hours at a 6 mph pace, we can round this to 0.46
Now we can plug in the time and speed
Distance = 6mph x 0.46 hours
Distance = 2.76 miles
