The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable
Answer: 36, 13, -10
The rates of change are variable.
Step-by-step explanation:
The rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.
What is a variable and a constant?A variable is a quantity that changes in its value, but a constant remains fixed.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For this case, we get the rates as:
For rate between first two values,
[tex]Rate_1 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{17-0}{0.5-0} = 34[/tex]
For rate between second two values,
[tex]Rate_2 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{30-17}{1.5-0.5} = 13[/tex]
For rate between third two values,
[tex]Rate_3 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{25-30}{2-1.5} = -10[/tex]
We see that the rate of change of height of the football considered with respect to time is changing, so its a variable.
Thus, the rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.
Learn more about rate of change here:
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what is the distance between X(-3,4) and Y(2,1)
A. 2.8
B. 5.8
C. 4.0
D. 3.2
I think it's B but I need to know if it's right.
Answer:yes the answer is B
Step-by-step explanation:
3. Damien paints 1/5 of a room in 5/12 hours what unit rate describes this situation
Answer:
0.48 of the room per hour
Step-by-step explanation:
your welcome
A watering can dispenses water at the rate of 0.20 gallon per minute. The original volume of water in the can was 8 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water? (1 point)
{(7.8, 1), (7.6, 2), (7.4, 3)}
{(1, 7.8), (2, 7.6), (3, 7.4)}
{(8.0, 1), (7.8, 2), (7.6, 3)}
{(1, 8.0), (2, 7.8), (3, 7.6)}
Answer:
b 1,7.8
Step-by-step explanation:
its easy
Answer:
C
Step-by-step explanation:
Its c
(PLEASE ANSWER)
You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $0.90. For Account B, the simple interest earned after 18 months is $22.50. If the interest rate is 3.6%for Account A and 2.5% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Account A has a principal of $BLANK. (Round to the nearest dollar as needed.)
Answer:
Mate it has been two months do you still need this
Step-by-step explanation:
please help i don't understand. will mark brainliest. answer both questions
Answer:
both should be rise
Step-by-step explanation:
Answer:
Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.
Step-by-step explanation:
this is the answer to question #2. now mark me as the brainlest!
Look at the chart and answer the question. Which country has about four times as much helium as Canada?
answer the following: 5 x (2)³
Answer:
40
Step-by-step explanation:
5 x (2)³
PEMDAS says exponents first
5 x 8
Then multiply
40
Answer:
40
Step-by-step explanation:
first find 2^3 which is 8
then 8*5 which is 40
Need helpp fastt plss will give brainliest to who is correct plss helpp
Answer:
1/4 times 3.
1/4 of 3.
number of fourths in 3.
Step-by-step explanation:
Which equation has the solution x = 5?
Select EACH correct answer.
25x+4=9
3x + 1 = 9
x5+5=6
18−2x=9
11 + 6x = 22
32−4x=12
Answer:
if your in k12 6.03 Quiz: Solve Equations by Substitution this should be right
Step-by-step explanation:
btw if ur not in k12 it should still be right
answer this question please :)
Answer:
A
Step-by-step explanation:
The 7/1 is 7, and (15-1)/2 is7, which is then the slope. Since the first x is 1, the x intercept is 1
Help please tysvmmm !!!!!11
Answer:
D,4 times as large as the expressian
Step-by-step explanation:
because 4x is multiplucation so it means that it multiplys that number
please help! its math and im so confused!
Answer:
1. =8
2. =9
3.=20
4.=3
I NEED HELP THIS IS DUE IN AN HOUR!!!!!
David moved from a house that is 89 miles away from his workplace to a house that is 51 miles away from his workplace. What is the percent decrease in the distance from his home to his workplace? (round answer to the nearest whole number
Rodrick and Valentina drove to the coast. Rodrick drove 38 9−− 10miles. Then Valentina drove the last 51 3− 5miles. How far did they drive to the coast?
15 miles?? im in 5th i don't really know this sorry
Out of every 8 loaves of bread that Markelle bakes, 5 of them are pumpkin bread.
At this rate, how many loaves of pumpkin bread would he have if he baked a total of 40 loaves of bread?
Find the value of x in each pair of similar figures. Use proportions to solve.
Helpp A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?
Answer:
I think it is 16 not sure sorry.
Step-by-step explanation:
1 gallon divided by 1/64 is 64 times 1/4 which is 16.
Henry divided his socks into five groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s=20?
A. S/5; when s=20, the number of socks in each group is 4.
B. S/5; when s=20, the number of socks in each group is 15.
C. S-5; when s=20, the number of socks in each group is 4.
D. s-5; when s=20, the number of socks in each group is 15.
Answer:
A. 4 socks per group and S/5
Step-by-step explanation:
20 total # of socks ÷ 5 groups = 4 socks per group
So A. is correct.
I will give brainliest if you get it right and 1st please answer this question?!
Bobby Joe made a mistake on his assignment on Combining Like Terms. Can you help Bobby Joe? For full points on this question:
Tell me what he did RIGHT!
Tell me the mistake that Bobby Joe made
Tell me the correct way to combine like terms in this expression
6x + 5x + 2y
11x + 2y
13xy
Answer:
Bobby added 6x and 5x which was correct because they're like terms
Bobby then combined 11x and 2y which was incorrect, they're not like terms because they have different variables
to correct his mistake he has to stop simplifying the equation at 11x + 2y because that is as far as you can simplify it
Bobby Joe has done combination properly till [tex]11x + 2y[/tex] because, [tex]6x + 5x[/tex] are like terms and has common variable [tex]‘x’[/tex] but, he messed up when he started combining [tex]11x + 2y[/tex]because, they are not at all like terms and doesn't have common variable. So, to recover it he should stop combining till [tex]11x + 2y[/tex].
If m = -4 and n = 7, what is the value of m - n?
11
-3
-11
3
Answer:
-11
Step-by-step explanation:
-4 - 7 = -11
Mrs. Green purchased 3 4/5 pounds of pecans. What is the decimal value equivalent to the pounds of pecans purchased.
Answer:
The answer is 3.8
Step-by-step explanation:
hope that helps
Please help this is due tmr, Don't answer the question if you have no answer or ideas. Im not trying to be rude but I really just need help. :(
Think about how you can use absolute value notation to express the distance between two points on a coordinate graph. For each pair of points below, find the distance between the given points and express your work using absolute value symbols. Explain or Show your work.
1. (4, 9) and ( –5, 9)
2. (7, –1) and (7, –4)
3. (0, 9) and (0, –7)
4. (4, –8) and (–10, –8)
Answer:
watch Khan academy video it should explain everything on absolute value and whatever else u need help with it has probably multiple videos for each unit in math
Auto Tech charged Mrs. Smith $90.00 for an automotive part plus $53.00 per hour
that a mechanic worked to install the part. The total charge was $328.50. For about how
long did the mechanic work to install the part on Mrs. Smith’s car?
Answer:
The precise answer is 3.99588235. But you would round that to 4 hours.
Answer:
4.5 hours
Step-by-step explanation:
subtract the 90.00 from 328.50, ten you should get 238.50 which you'll divide by 53 and get 4.5 hours
GUYS HELP I WILL GIVE BRAINLYIST
;)
Please help. and put a explanation because I need it lol (if you can )
Answer:
I am pretty sure it's the first one with the table
Step-by-step explanation:
All of the numbers from the x side can be times by 4 to get the y value and that goes for all of the x values which means that it is proportional
Answer:
I think its either the first one
Step-by-step explanation:
Because we can see 3 times 4=12
6 times 4=24
9 times 4 =36
PLEASE SOLVEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!
$7.50 meal; 6.5% tax _____
Answer:
14.0
Step-by-step explanation:
$7.50 meal + your 6.5$ tax.
We add those and it will equal 14.00