Kata gets on a moving walkway at the airport. Then, 8 s after she gets on, she taps Lisa, who is standing alongside the walkway. The graph shows Kata's distance from Lisa over time. Calculate the rate of change in her distance from Lisa from 6 s to 8 s, and then from 8 s to 12 s. What do the rates of change mean in terms of Kata’s movement?
The average rate of change over each interval is given as follows:
6 s to 8 s: -1 ft/sec.8 s to 12 s: 2.5 ft/sec.The meaning of these rates is that Kata was behind Lisa, then met her after 8 seconds and started distancing herself.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The numeric values for the function are given as follows:
d(6) = 2.d(8) = 0.d(12) = 10.Then the rates are calculated as follows:
6 s to 8 s: (0 - 2)/(8 - 6) = -1 ft/sec.8 s to 12 s: (10 - 0)/(12 - 8) = 2.5 ft/sec.Missing InformationThe graph is given by the image presented at the end of the answer.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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What is the range of the ordered pairs (1,1), (2,6), (3,5), and (4,1)?
Answer:
45
Step-by-step explanation:
just cuz
Answer:
45
Step-by-step explanation:
the population of a city can be modeled using the equation p = 40,000(9/10)^x. One year the population was 23,620. What was the population a year later?
Please help me with this.
Answer:
105
Step-by-step explanation:
Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings account?
Answer:
I think that there is a limit on the number of times you can withdraw or transfer money in your savings account because banks only maintain a small percentage of the money people deposit on the savings accounts and most of the money is used for loans and they need to limit that to be able to have enough reserves to cover the withdrawals. If they don't put a limit people can try to withdraw all the money at the same time and the bank would not have the funds to cover that.
What is the CORRECT answer?
Answer:
Step-by-step explanation:
Givens
r = 5
h = 30
Formula
SA = 2*pi*r^2 + 2pi*r*h
Solution
SA = 2*3.14 *5^2 + 2*3.14 * 5* 30
SA = 50*3.14 + 300*3.14
SA = 157 + 942
SA = 1099 square inches.
find the 91st term of the arithmetic sequence 4 6 8
Answer:
184
Step-by-step explanation:
here's your solution
=> first term = 4 = a
=> common difference = 2 = d
=> formula = a + (n - 1) d
=> putting the value of variable
=> 4 + (91 - 1)* 2
=> 4 + (90 * 2)
=> 4 + 180
=> 184
hope it helps
Identify the range of the function shown in the graph.
Answer:
-3 < x < 3
Step-by-step explanation:
Increase 20g by 90%
Answer:
the answer is 38
Step-by-step explanation:
100-90=190
3. The population of a city grows at a rate of 5% per
year. The population in 1990 was 400,000. In what year
will the population exceed 1,000,000?
(CED.1)
A. 2000
B. 2008
C. 2009
D. 2010
Answer:
the answer is B. 2008
Answer: b
Step-by-step explanation:
In This equation what is the common ratio f(x) = 10 x 3^x
9514 1404 393
Answer:
3
Step-by-step explanation:
The ratio is ...
f(x+1)/f(x) = (10·3^(x+1))/(10·3^x) = 3^(x+1-x) = 3^1 = 3
The common ratio is 3.
_____
As you may have noticed, it is the base of the exponential term.
factorise 21ax+10by-35ay-6bx
with working pls
Answer:
( 7a - 2b ) ( 3x - 5y )Step-by-step explanation:
21ax + 10by - 35ay - 6bx
21ax - 35ay - 6bx + 10by
7a ( 3x - 5y ) - 2b ( 3x - 5y )
( 7a - 2b ) ( 3x - 5y )
The table shows the running speeds of 10 randomly selected ostriches. Speed (mlles per hour) 35 40 37 33 36 34 32 36 41 36 Based on the data, select the most reasonable prediction about the speed of ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour
D. The typical ostrich runs at a speed of about 36 miles per hour.
Answer:
D;the tropical ostrich runs at a speed of about 36 miles per hour
Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.
Step-by-step explanation:
I took the quiz on A p e x^^
It is trigonometry. Please find the dimensions of the box. Thanks.
Answer:
Step-by-step explanation:
It’s a word search
I’ll appreciate it even if you find one
—-Don’t put random stuff just to get points it’s rude——-
I’ll give brainliest if you can find the most
Words can be vertical, horizontal, diagonal, and backwards
Step-by-step explanation:
rational. meter. greek
I'll try to find.
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answer:
x = -11
Step-by-step explanation:
Hello There!
create an equation
x + 51 + 60 + 80 = 180
combine like terms
51 + 60 + 80 = 191
x + 191 = 180
subtract 191 from each side
180 - 191 = -11
we're left with
x = -11
At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answer:
100 students.
Step-by-step explanation:
You multiply the whole times the percentage. i.e) 0.4x250 or 40% x 250.
slove the evolution 10-i=3
Answer:
ans 7
Step-by-step explanation:
given
10_i=3
10_i_3=0
7=i
i=7
PLEASE HELP I GIVE BRAINLIEST
A car travels 30 1/5 miles in 2/3 of an hour. Whwt is the average speed, in miles per hour, of the car
Answer:
45 3/10 mph
Step-by-step explanation:
30 1/5 /2 = 15 1/10
15 1/10 x 3 = 45 3/10 mph
PLEASE HELP IT"S URGENT
Which figure has the greater Volume??
1
Given f (x) = 3x and g(x) =
x + 3
Which value is in the domain of fo
fºg?
Click on the correct answer.
-7
3
Answer:
x = 8
Step-by-step explanation:
f(x) = [tex]\sqrt{3x}[/tex]
g(x) = [tex]\frac{1}{x+3}[/tex]
(f o g)(x) = f[g(x)]
= [tex]\sqrt{\frac{3}{x+3} }[/tex]
This function is defined for (x + 3) > 0
(x + 3) - 3 > 0 - 3
x > -3
From the given options x = 8 is the only solution which is greater than -3.
Therefore, x - 8 is in the domain of the given function.
Can someone answer this i don't understand it
Dose 5x + 9 = 9+5x have no solution one solution or infinitely many solutions?
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
plz help me asap I need help 1k point
Answer:
y=27
Step-by-step explanation:
Hello There!
The shown angles are alternate exterior angles
Alternate exterior angles are congruent so
3y+53=7y-55
step 1 add 55 to each side
-55+55 cancels out
53+55=108
now we have
3y+108=7y
step 2 subtract 3y from each side
7y-3y=4y
now we have
4y=108
step 3 divide each side by 4
4/4y=y
108/4=27
we're left with y = 27
Answer:
y = 27
Step-by-step explanation:
The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.
7y - 55 = 3y + 53
4y = 108
y = 27
At what rate per cent will the intrest on Rs. 2520 add up to Rs. 84 in 8 months
Answer:
The rate of percent is 5%
Step-by-step explanation:
00
Which of the following expression is equivalent to
16-7?
A(-6)-7
1
B 67
1
(-6)-7
D
Answer:
the answer for this question is D
Drag the symbol to complete the solution to this inequality.
Answer:
b po
i hope makatulong eto
To mail a letter to Vienna, Austria the post office charges a flat rate of $9.75 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+9.75, where y is the cost of the postage and x is the weight of the letter in ounces.
Missing details
Which type of function model would be appropriate for this situation?
Answer:
Linear function
Step-by-step explanation:
Given
[tex]y = 0.50x +9.75[/tex]
Required
The function model
A function of the form:
[tex]y = mx + b[/tex]
is referred to as a linear function where
[tex]m = slope/rate[/tex]
[tex]b=y\ intercept[/tex]
By comparison:
[tex]m = 0.50\ b = 9.75[/tex]
So, it is a linear function (linear model)
Select all expressions that are greater than 4.
ANSWERS
1.67+ 3.456
2.97+ 1.0678
4.12 - 0.05
5.503 - 1.52
Answer:
I think they are all greater than 4.
Step-by-step explanation:
1.67 + 3. 456 = 5.126
2.97 + 1.0678 = 4.0378
4.12 - 0.05 =4.07
5.5503 - 1.52=4.0303