Help please ASAP!!
Find the average rate of change of rainfall between years 3 and 6. You must explain and show all of your work.
Answers
Answer:
[tex] \displaystyle 702[/tex]
Step-by-step explanation:
we are given a exponential function
[tex] \displaystyle f(x) = {3}^{x + 1} - 22[/tex]
where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by
[tex] \displaystyle m = \frac{ f(x)_ {2} - f(x)_{1} }{ x_{2} - x_{1} } [/tex]
substitute what we have:
[tex] \displaystyle m = \frac{ 2165 - 59 }{6 - 3 } [/tex]
simplify substitution:
[tex] \displaystyle m = \frac{2106 }{3 } [/tex]
simplify division:
[tex] \displaystyle m = 702[/tex]
hence, the average rate of change between 3 and 6 is 702
Related Questions
Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 550 and a standard
deviation of 40. How well must Violet score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answers
Answer:
Step-by-step explanation:
662
Find the difference: -7 -− (-2) =
A
9
B
-9
C
5
D
-5
Answers
Answer: B. −9
Step-by-step explanation: -7--(-2)
−7+−2
−9
(1/4)^3+(3/4)^3+3(1/4)(3/4)(1/4+3/4)
Answers
Answer:
[tex]\frac{43}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{4})^{3}+(\frac{3}{4})^{3}+3(\frac{1}{4})(\frac{3}{4})(\frac{1}{4}+\frac{3}{4}) = \\\\\frac{1}{64}+\frac{27}{64}+3(\frac{3}{4})(\frac{4}{4}) = \\\\\frac{28}{64}+3(\frac{3}{4}) = \\\\\frac{28}{64}+\frac{9}{4} =\\\\\frac{28}{64}+\frac{144}{64} = \frac{172}{64} = \frac{43}{16}[/tex]
If anyone could help me! I’ll give Brainly :’) thank you..
Answers
Answer:
(3,1) (6,-2)
Good luck on your assignment!
i need 33 and 35!!!!!
Answers
Calculate the surface area in square feet of a box that measures 13 inches in
length, 10 inches in width, and 11 inches in height. The value of your answer
should be square feet. Round you answer to the nearest hundredth
Answers
Answer:
I think the answer is 766 inches, rounding it to the nearest 100 would be 800
Step-by-step explanation:
Harrison goes to a thrift shop and is going to buy a sports coat, a dress shirt, or a tie. Harrison tends to like everything but decides to stick to a power tie, which would be a tie with red or yellow in it. The thrift shop has 6 sports coats that fit him and 8 dress shirts that fit him. The thrift shop has 4 red ties and 5 yellow ties. How many choices does Harrison have
Answers
Answer:
Harrison has 432 choices.
Step-by-step explanation:
Harrison will choose:
One sports coat from a set of 6.
One dress shirt from a set of 8.
One power tie from a set of 4 + 5 = 9.
How many choices does Harrison have?
6*8*9 = 432
Harrison has 432 choices.
A card is drawn at random from a deck of cards.
A) Find the probability of getting a queen.
B) What is the probability that the queen is the queen of diamonds?
Answers
Answer:
A) 1/13
B) 1/52 (or 1/4)
Step-by-step explanation:
52 cards in total.
4 Queens in total.
4/52=1/13
1 Queen of diamonds.
1/4 of 1/13 = 1/4×1/13 = 1/52
The second part of the question isn't overly clear, so I think that the answer is most likely 1/52, but could be 1/4.
Please help me solve this
Answers
Answer:
x=2√41
Step-by-step explanation:
According to Pythagorean theorem:
14²=(4√2)²+x²
x²=14²-32=164
x=√164=2√41
Increase 600 Naira by 120percent
Answers
Answer:
600, percentage increased by 120% percent of its value = 1,320.
Answer:
1,320Step-by-step explanation:
600 + 120% =
600 + 600 x 1.2 =
600 + 720 =
1320
Hope that helps! :)
-Aphrodite
Tickets to the State Fair are $10 plus $1.50 per ride. The State Fair also sells unlimited ride wristbands for $25 that include the entry fee. Which inequality below below could be used to determine the number of rides (r) you would need to ride to make the wristband a better deal?
A. 10 + 1.5r < 25
B. 10r + 1.5 < 25
C. 10 + 1.5r > 25r
D. 10 + 1.5r > 25
Answers
Answer:
DDDDDD
Step-by-step explanation
its D
If mZ2 = 26, what is mZ16?
11 12
314
1413
15 16
65
718
(not drawn to scale)
A
64
B
26
с
16
D
154
Answers
9514 1404 393
Answer:
B. 26
Step-by-step explanation:
All acute angles in the figure are congruent. All obtuse angles in the figure are congruent. All of the even-numbered angles are acute and have the measure 26.
m∠16 = 26
In basketball each basket scored from inside the 3 point line is worth 2 points. Each basket scored from outside the 3 point line is worth 3 points. Part B
Answers
What is the area of a rectangle that measures 4 1/2 by 2 1/2 inches
Answers
Answer:
11.25
Step-by-step explanation:
the equation to find the area of a rectangle is A=w*l
A=2.5*4.5
A=11.25
A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:
Student type
Region undergraduate graduate
East $10 $15
Central $12 $18
West $15 $21
The requirements for the survey are as follows:
The survey must have at least 1500 students.
At least 400 graduate students.
At least 100 graduate students should be from the West
No more than 500 undergraduate students should be from the East
At least 75 graduate students should be from the Central region
At least 300 students should be from the West
The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.
Required:
Clearly state the problem (objective function, constraints)
Answers
Answer:
Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Step-by-step explanation:
Let
X1 = # of undergraduate students from the East region,
X2 = # of graduate students from the East region,
X3 = # of undergraduate students from the Central region,
X4 = # of graduate students from the Central region,
X5 = # of undergraduate students from the West region, and
X6 = # of graduate students from the West region.
Then the cost functions are
y1= 10x1 +15x2
y2= 12x3+18x4
y3= 15x5+ 21x6
According to the given conditions
The constraints are
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A
15X2 +18X4+21X6 ≥ 400---------B
21X6 ≥ 100
X6 ≥ 100/21
X6 ≥ 4.76
Taking
X6= 5
10X1 ≤ 500
X1 ≤ 500/10
X1≤ 5
18X4 ≥ 75
X4 ≥ 75/18
X4 ≥ 4.167
Taking
X4= 5
Putting the values
15X5+ 21X6 ≥ 300
15X5+ 21(5) ≥ 300
15X5+ 105 ≥ 300
15X5 ≥ 300-105
15X5 ≥ 195
X5 ≥ 195/15
X5 ≥ 13
Putting value of X6 and X4 in B
15X2 +18X4+21X6 ≥ 400
15X2 +18(5)+21(5) ≥ 400
15X2 +195 ≥ 400
15X2 ≥ 400-195
15X2 ≥ 205
X2 ≥ 205/15
X2 ≥ 13.67
Taking X2= 14
Now putting the values in the cost equations to check whether the conditions are satisfied.
y1= 10x1 +15x2
y1= 10 (5) + 15(14)= 50 + 210= $ 260
y3= 15x5+ 21x6
y3= 15 (13) + 21(5)
y3= 195+105= $ 300
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500
5+14+x3+5+13+5≥ 1500
x3≥ 1500-42
x3≥ 1458
y2= 12x3+18x4
y2= 12 (1458) + 18 (5)
y2= 17496 +90
y2= $ 17586
The cost can be minimized if the number of students from
Undergraduate Graduate
East Region X1≤ 5 X2 ≥ 13.67
Central X3≥ 1458 X4 ≥ 4.167
West X5 ≥ 13 X6 ≥ 4.76
This will result in the required number of students that is 1500
Constraints:
East Undergraduate must not be greater than 5
East Graduate must not be less than 13
Central Undergraduate must be greater than 1458
Central Graduate must be greater than 4
West Undergraduate must be greater than 13
West Graduate must be greater than 4
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The east region has a least cost of $260 and west region has a cost of $300.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
The probability of a golden retriever catching a tennis ball in mid-air is 81%. Find the probability that a golden retriever catches three tennis balls in mid-air.
Answers
Answer: 53.1441%
==========================================================
Explanation:
Assuming each event is independent of one another, the probability of catching the tennis ball three times in a row is
(0.81)^3 = (0.81)*(0.81)*(0.81) = 0.531441
This converts to 53.1441%
Of the sundaes recently sold at Ice Cream Haven, 4 had nuts and 20 did not. Considering this
data, how many of the next 84 sundaes sold would you expect to have nuts?
Answers
(1/6)*84= 14 had nuts
20/24= 5/6
(5/6)* 84 = 70 no nuts
The expectation of having nuts in the 84 sundaes if 4 had nuts and 20 did not is 14.
What is division?It is a fundamental operation in mathematics where you divide a number into smaller parts.
Given:
The sundaes had nuts = 4,
Total sundaes = 24,
So from this the possibility of having nuts in sundae = 4/24 = 1 / 6,
Hence, in 84 sundaes the possibility of having nuts is = 1 / 6 × 84 = 14,
Therefore, the expectation of having nuts in the 84 sundaes is 14.
To know more about division:
https://brainly.com/question/27566440
#SPJ2
Logans mom says that it is very likely it will rain tomorrow. Which BEST shows the probability of it raining tomorrow based on what Logan's mom said?
Answers
Answer: 4/5
Step-by-step explanation:
please help me someone
Answers
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
What is the slope-intercept equation of the line below?
(2,3)
(0,-5)
Answers
Answer:
y = 4x - 5
Step-by-step explanation:
plug the coordinates into the equation: y = mx + b
3 = 2m + b
-) -5 = 0m + b
___________
8 = 2m => m = 4
substitute 4 into either of the equation 3 = 2m + b or -5 = 0m + b to solve for b
=> 3 = 2(4) + b
=> b = -5
plug m = 4 & b = -5 into the slope-intercept equation: y = mx + b
=> y = 4x - 5
Hailey invested $940 in an account paying an interest rate of 8\tfrac{1}{4}8
4
1
% compounded quarterly. Justin invested $940 in an account paying an interest rate of 7\tfrac{5}{8}7
8
5
% compounded monthly. To the nearest dollar, how much money would Hailey have in her account when Justin's money has tripled in value?
Answers
Answer:
can you write it in a clearer way
Step-by-step explanation:
PLEASE HELP
Which equation is the slope-intercept form of this equation?
y−10=−2(x+6)
a) y−10=−2x−12
b) 2x+y=−2
c) y=−2x−2
d) x=−12y−1
Answers
Answer:
C.
Step-by-step explanation:
The slope intercept form is:
y= mx +b
so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.
How many cups are on 2.5 liters
Answers
Answer:
10.56 cups is your correct answer
Step-by-step explanation:
To convert liters to cups, multiply the volume value by 4.227
Have a great day!
Answer:
10.567
Step-by-step explanation:
cups in 2 liters is 8.454 and half a liter is 2.113
I just added that
Can anyone help? ................
Answers
there is a 90 and a 26 which equals 116
a line equals 180 degrees
you have to subtract 116 from 180
x=64
answer:
x = 64
step-by-step explanation:
in order to solve this, we have to add up all the angles given and subtract from 360° in order to find xwe subtract from 360° because a circle adds up to 360°since there is a square shown as an angle, it is 90°so we know that, 180 + 26 + x + 90 = 360°
now, we solve for x180 + 26 + x + 90 = 360°
296 + x = 360
x = 64°
Find the surface area of the prism 6.5 6 2.5 11
Answers
Answer: 180
Step-by-step explanation: I need one more brainliest for next rank I’d appreciate it
7(x+4)-6(x+3)=x+5
What is x?
Answers
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
On a given Dallas-New York flight, there are 300 seats. Suppose the ticket price is $450 and the number of passengers who reserve a seat but do not show up for departure is normally distributed with mean 40 and standard deviation 14. You decide to overbook the flight and estimate that the net cost of an involuntary boarding denial (if the number of passengers exceeds the number of seats) is $900 (everything considered). Suppose you have decided to accept the above optimal number of reservations. Then what is the probability that you won’t need to deal with overbooked passengers?
a. 33%
b. 43%
c. 57%
d. 67%
e. 82%
Answers
Answer:
33% ( A )
Step-by-step explanation:
Number of seats = 300
Ticket price = $450
passengers who reserve but don't show up : mean = 40 , Std = 14
net cost of involuntary boarding denial = $900
Determine the probability of not dealing with over booked passengers
Given ;
Net cost of Involuntary boarding denial ( Nd ) = $900
cost excess ticket ( Ct ) = $450
first step : determine the critical ratio
Cr = Nd / Ct + Nd
= 900 / ( 900 + 450 ) = 0.67
Finally determine the Prob ( of not dealing with overbooked passengers )
= 1 - 0.67 = 0.33 = 33%
Which equation shows 3/4 x+1/2y=1/8 converted to slope intercept form?
A. Y=3/2x-1/4
B.Y=-3/8x+1/16
C. Y=3/8x-1/16
D.Y=-3/2x+1/4
Answers
Answer:
D
Step-by-step explanation:
Suppose, to select a sample from a population of 3000 persons, the following procedure is followed. The names of the people are written on identical, square pieces of thin cardboard measuring one inch on a side, and these pieces of cardboard are then tumbled in a clothes dryer (with the heat shut off). After 30 minutes, a blindfolded person reaches in and withdraws a selected number of names. What can be said about this sample
Answers
Answer:
One can conclude that this sample is obtained through a simple random sampling technique.
Step-by-step explanation:
With a simple random sampling, each population participant has an equal chance of being selected. This sampling method is the best sampling technique when compared with other random sampling methods like the Stratified Random Sampling and Double-stage Random Sampling. The reason is that it gives equal chance to every sample to be chosen by eliminating sample bias.
Can someone please help?
Answers
Answer:
A) 4/3
Step-by-step explanation:
A) 4/3