The percent rate of change of students graduating within 4 years from 1995 to 2009 = 8.17%
Here, the percent of studenst graduated in 1995 = 57. 5%
and the percent of studenst graduated in 2009 = 52. 8%
First we find the relative change.
Let a represents the initial value and b represents the findal value
a = 57.5 and b = 52.8
so, the relative rate of change of students would be,
r = (b - a)/a
r = |(52.8 - 57.5)| / 57.5
r = 0.0817
And the percent rate of change of students graduating within 4 years from 1995 to 2009 would be,
p = r × 100
p = 0.0817 × 100
p = 8.17%
Therefore, the required percent is 8.17%
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Josh went swimming for 1 3/4 hours on Saturday and 2 5/6 hours on Sunday. What was the total time that Josh swam on the weekend?
8x + 3y-2х -у I’m trying to combine like terms plz help me
Answer:
6x+2y just add them lol
Step-by-step explanation:
Answer:
8x + 3y - 2x - y
8x - 2x + 3y -y
6x - 3y
is your answer
brain list plzzz
Nancy wrote the expression 3x-12 to represent the relationship in the table of values.use operations to write two equivalent expressions.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
3x-12
1)
Writing the expression in an equivalent form
3x-12
Factor out common term 3
3x-12 = 3(x-4)
Thus, 3(x-4) is equivalent to 3x-12.
2)
Writing the expression in an equivalent form
3x-12
Multiply the expression by 2/2
\(3x-12\:=\frac{2}{2}\:\times \:\left[3x-12\right]\)
Therefore, \(\frac{2}{2}\:\times \:\left[3x-12\right]\) is equivalent to 3x-12.
MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE
Answer:
No Zooms
Step-by-step explanation:
Rob runs at a constant pace on his treadmill.
In 3 hours, he runs 15 miles.
What is the unit rate for Rob's pace?
Answer:
B: 1 to 5
Step-by-step explanation:
3 hours is to 15 miles as 1 hour is to 5 miles (division by 3)
Advertisements for an instructional video claim that the techniques will improve the ability of Little League pitchers to throw strikes and that, after undergoing the training, players will be able to throw strikes on at least 60% of their pitches. To test this claim, we have 20 Little Leaguers throw 50 pitches each, and we record the number of strikes. After the players participate in the training program, we repeat the test. The table shows the number of strikes each player threw before and after the training. Before,After 28,35 29,36 30,32 32,28 32,35 32,34 32,32 32,34 32,35 33,36 33,33 33,35 34,32 34,30 34,33 35,34 36,37 36,33 37,35 37,36 For the variables in your dataset calculate the difference between the number of strikes thrown before and after.
The main answer is that the difference between the number of strikes thrown before and after the training program for the Little League pitchers is as follows: -7, -7, 2, 4, 3, 2, 0, 2, 3, 3, 0, 2, -2, -4, -1, -1, 1, -3, -2, -1.
The table provides the number of strikes each player threw before and after the training program. To calculate the difference between the number of strikes thrown before and after, we subtract the "After" value from the "Before" value for each player.
For example, for the first player, the difference is 35 (After) - 28 (Before) = -7. Similarly, for the second player, the difference is 36 - 29 = -7. We repeat this calculation for each player and obtain the following differences: -7, -7, 2, 4, 3, 2, 0, 2, 3, 3, 0, 2, -2, -4, -1, -1, 1, -3, -2, -1.
These differences represent the change in the number of strikes thrown by each player after undergoing the training program. A negative difference indicates a decrease in the number of strikes, while a positive difference indicates an improvement. The range of differences is from -7 to 4, showing that the impact of the training program varied among the players.
It's important to note that the claim made in the advertisements suggested that players would be able to throw strikes on at least 60% of their pitches after the training. However, the difference values alone do not provide information about the success rate in terms of percentage. To determine if the training program was effective in meeting this claim, further analysis is needed, such as calculating the strike percentage for each player before and after the training and comparing them to the expected 60% threshold.
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Calculate the missing term. 32/24 = 20/___
Answer:
20/30
Step-by-step explanation:
Simplest form of 32/24= 4/3
Multiply both 4 and 3 by 10= 20/30
Hope this helps!
Find a particular solution to the nonhomogeneous differential equation y′′+4y′+5y=−15x+e−xy′′+4y′+5y=−15x+e−x.
The particular solution to the nonhomogeneous differential equation is -3x+1+2e⁻ˣ
We are given a non-homogeneous differential equation in the form
=> y′′+4y′+5y=−15x+e⁻ˣy′′+4y′+5y=−15x+e⁻ˣ
The differential equation is called non-homogeneous because it has a non-zero right-hand side.
To solve this differential equation, we first need to find the complementary function, which is the solution to the corresponding homogeneous differential equation y′′+4y′+5y=0.
This homogeneous differential equation has characteristic equation
=> r²+4r+5=0, which has roots r=-2+ i and r=-2- i.
Hence, the complementary function is
=>\(y_{c(x)}=c_1e^{(-2+i)x}+c_2e^{(-2-i)x},\)
where c₁ and c₂ are constants determined by the initial conditions.
We then take the first and second derivatives of y_p(x) and substitute them into the differential equation, y′′+4y′+5y=−15x+e⁻ˣ, and simplify. This leads to the system of equations:
a + 4c = -15
-a + 4b - 5c = 0
a + b + 5c = 1
Solving this system of equations, we find that a=-3, b=1, and c=2. Therefore, the particular solution is y_p(x)=-3x+1+2e⁻ˣ
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using the distance formula d=√(x2- x1)^2 +(y2-y^1, what is the distance between point (-3,1) and point (-2,4) rounded to the nearest tenth
Answer:
\(d = \sqrt{(x2 - x1) + (y2 - y1)} \\ d = \sqrt{ (- 3 + 2) + (1 + - 4)} \\ d = \sqrt{ - 1 + - 3 } \\ d = \sqrt{ - 4 } \\ d = - 2\)
Step-by-step explanation:
hope it helps you<3I WILL GIVE YOU BRAINLY PLSS
Victor scored a 9, 7, and 10 on his first three math tests. What score must he get
on his fourth test to have a score of at least 34 points?
A. ≥ 8
B. 9
D. > 8
PLSS SHOW YOUR WORK PLSS
Answer:
9
Step-by-step explanation:
9+10+7=26. 9+26=35 so he has 35 points which is more than 34. hope this helps
Stella invested $6100 in an account paying interest rate of 6 1/2 % compounded monthly. Katherine invested $6100 in an account paying an interest rate of 6 5/8 % compounded quarterly. After 7 years how much more money would Katherine have in here account than Stella, to the nearest dollar
Answer:
Katherine would have $109.54 more than Stella.
Step-by-step explanation:
Giving the following information:
Stella:
Initial investment (PV)= $6,100
Interest rate (i)= 0.065/12= 0.0054 per month
Number of periods (n)= 7*12= 84
Katherine:
Initial investment (PV)= $6,100
Interest rate (i)= 0.06625/4= 0.0167
Number of periods (n)= 7*4= 28
To calculate the future value, we need to use the following formula:
FV= PV*(1 + i)^n
Stella:
FV= 6,100*(1.0054^84)
FV= $9,589.5
Katherine:
FV= 6,100*(1.0167^28)
FV= $9,699.04
Difference= $109.54
Katherine would have $109.54 more than Stella.
Complete the steps below to create an absolute-value inequality with this solution. Donot use spaces in your answer.
We have a line given and we need to complete the following:
For this case we just need to see the liimit for the line given and we see that the line is between 2 and 18
\(2For the second part of the problem we found the middle point:\(\text{Mid}=\frac{2+18}{2}=10\)the function shown is in the form y = x² + k Determine the value of k.A) -1B) 0C) 1D) -1/2
ANSWER:
C) 1
STEP-BY-STEP EXPLANATION:
The value of k is determined by the value of the y-intercept in this case.
We can see that the y-intercept occurs when y = 1, therefore the value of k is 1.
Easy !
Quick !
Easy.
Answer:
2/5 or 40%
Step-by-step explanation:
there are 10 possible ways to choose 2 cards:
19,13
19,10
19,14
19,22
10,13
14,13
22,13
10,14
10,22
14,22
there are only 4 pairs whose sum is greater than 32:
19,14
19,22
13,22
14,22
Answer:
3/5
Step-by-step explanation:
PLEASE HELP!!! QUESTION ON PICTURE
Answer:
27
Step-by-step explanation:
I broke the figure up into 3 rectangles.
5x2 = 10
2x3 = 6
4x5 = 20
This adds to 36. Then subtract out the green square of 9
36 - 9 = 27
what are the zeros of this function. f(x)=x^2+3x-40
By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.
To solve the given equation we have to do the factorization.
What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors. In other words, we can say finding what to multiply together to get an expression.
To do the factorization, we have to follow the steps as shown below:
\(x^{2} +3x-40\) \(= 0\)
\(-40 = 8 * -5\\\) [ multiplication of 8 and -5 is -40]
\(x^{2}+8x-5x -40\) \(= 0\)
\(x(x+8) -5(x+8)\) \(= 0\)
\((x-5)(x+8)\) \(= 0\)
\(x = 5\) and \(x = -8\) [ The roots or zeroes]
From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.
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HELP DUE IN 15 MINS!
x =??
Answer:
Step-by-step explanation:
x = 1/2 ( arc(SF) + arc(RQ))
ARC SF = 50
Arc RQ (the large one ) = 200
Large Arc RQ = 200
Arc SF = 50
x = 1/2 (50 + 200)
x = 1/2 250
x = 125
a bit is a 0 or a 1. a bit string of length 7 is a sequence of 7 digits, all of which are either 0 and 1. (a) how many bit strings of length 7 are there?
There are 128 number of bit string of length 7.
Define the term string length?The entire amount of characters in a string is referred to as its length or size.With the exception of the null letter "0," the length of a string in C is equivalent to the total number of characters in it. For instance, the string "gfddf" is five characters long, but the string "4343" is four.For the data given in question-
7-character string with two possible values for each (0 or 1).
a) For strings with an average length of 7 bits:
The 7-digit string contains two possibilities for each digit.
As, a bit is a 0 or a 1.
The 7-digit number is;
N = 2×2×2.... = 2^7 = 128
Thus, there are 128 number of bit string of length 7.
Define the term string , here
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The number of tickets that an ice rink sold for the last three days were: 80 (day 1), 92 (day 2), 102 (day 3). Use the trend method to forecast for the sales (the number of tickets that can be sold) of the rink in day 4. Keep two decimals in all the intermediate steps and round your final answer to the closest integer. 80 102 288 113 None of the solutions is correct
The correct answer is 113. To forecast the sales of the ice rink on day 4 using the trend method, we need to determine the trend equation based on the given data points.
The trend equation represents the overall pattern or trend in the sales data and allows us to make predictions for future values.
First, we need to calculate the average increase in sales per day. The average increase is obtained by dividing the total increase in sales over the three days (102 - 80 = 22) by the number of days (3 - 1 = 2). Therefore, the average increase in sales per day is 22 / 2 = 11.
Next, we can use the average increase to forecast the sales for day 4. Starting from the last known sales value (102), we add the average increase to project the sales for the next day. Thus, the forecasted sales for day 4 would be 102 + 11 = 113.
Therefore, the correct answer is 113.
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You are visiting Chicago From your hotel you walk 3 blocks east and 5 blocks south to get to
Navy Per. Then from Navy Pler you walk 7 blocks west and 1 block north to get to Portillo's Where
is Portillo's in relation to your hotel?
Woof
Answer:
8 blocks away
Step-by-step explanation:
You just add
In one paragraph explain how number 7 emerged in human history. Also name the roots of each day of the week
The number 7 emerged in human history through cultural and mathematical developments.
How did the number 7 emerge in human history?The significance of the number 7 can be observed in various aspects of human history. One of the earliest instances is found in ancient Mesopotamia, where the Sumerians developed a base-60 numeral system called sexagesimal.
This system contributed to the use of 60 as a highly divisible number and influenced the concept of dividing the day into 24 hours, each consisting of 60 minutes.
In ancient Egypt, the division of the week into seven days was based on the observation of celestial bodies.
The Egyptians associated each day with a different planet or celestial object, namely Sunday (Sun), Monday (Moon), Tuesday (Mars), Wednesday (Mercury), Thursday (Jupiter), Friday (Venus), and Saturday (Saturn). These planetary associations were later adopted by the Romans, and their names in English still reflect these origins.
The number 7 also holds religious and symbolic significance. In Judaism, the seventh day of the week, Saturday, is considered a day of rest, known as the Sabbath.
This tradition is rooted in the biblical story of creation, where God rested on the seventh day. In Christianity, the Book of Genesis describes the world being created in six days, with the seventh day being designated as holy.
Furthermore, the number 7 appears in mathematics and geometry. The seven colors of the rainbow, the seven musical notes, and the seven wonders of the ancient world are all examples of the cultural significance attributed to this number.
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Suppose a student picks 3 points at random from A, B, C, T, and D (with D being the plane and the other figures being on a line). The probability that 3 randomly selected points from A, B, C, and D are collinear is ___
Answer:4/5
Step-by-step explanation:
The time taken, T seconds, for a pendulum to complete one oscillation is given by the formula where I m is the length of the pendulum and g is taken to be 10 m s²². (i) Express l in terms of T and g. (ii) Hence, find the length of the pendulum if it takes 12 seconds to complete 20 oscillations. 2= √/1 T = 2A
(i) The expression for l in terms of T and g is: \(l = g(T/(2\pi ))^{2}\)
(ii) the length of the pendulum is approximately 0.362 meters
The formula for the time taken for a pendulum to complete one oscillation is given by:
\(T = 2\pi \sqrt{ (l/g)}\)
where l is the length of the pendulum and g is the acceleration due to gravity.
(i) Expressing l in terms of T and g:
We can rearrange the above formula to solve for l:
\(T = 2\pi \sqrt{(l/g)}\)
\(T/(2\pi ) = \sqrt{(l/g)}\)
\((T/(2\pi ))^{2} = l/g\)
\(l = g(T/(2\pi ))^{2}\)
So, the expression for l in terms of T and g is:
\(l = g(T/(2\pi ))^{2}\)
(ii) Finding the length of the pendulum:
We are given that T = 12 seconds for 20 oscillations. So, the time taken for one oscillation is:
T/20 = 12/20 = 0.6 seconds
Substituting this value of T into the formula for l that we obtained in part (i), we get:
\(l = g(T/(2\pi ))^{2}\)
\(l = 10(0.6/(2\pi ))^{2}\)
l = 0.362 m (rounded to 3 decimal places)
Therefore, the length of the pendulum is approximately 0.362 meters if it takes 12 seconds to complete 20 oscillations
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I need help on this question
Answer:
Step-by-step explanation:
I think it’s b
What type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
I also need help rq for questions number 3
Answer:
12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so.. 144 + 1225 = 1369. SO 12 would fit!
Members of a lacrosse team raised $1307.50 to go to a tournament. They rented a bus
for $812.50 and budgeted $41.25 per player for meals. Determine the number of
players the team can bring to the tournament.
Answer:12
Step-by-step explanation:(1307.50-812.50)/41.25 = 12
The lacrosse team can bring 12 players to the tournament.
How to determine the number of players the team can bring to the tournament.Let's assume the number of players on the lacrosse team is "n."
The total amount raised by the team is $1307.50, and they rented a bus for $812.50. The remaining amount after renting the bus is available for meals.
Amount available for meals = Total amount raised - Bus rental cost
Amount available for meals = $1307.50 - $812.50
Amount available for meals = $495
Now, the budgeted amount per player for meals is $41.25. To find the number of players the team can bring to the tournament, we need to divide the total amount available for meals by the budgeted amount per player:
Number of players = Amount available for meals / Budgeted amount per player
Number of players = $495 / $41.25
Number of players = 12
So, the lacrosse team can bring 12 players to the tournament.
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2x+3y=1470 changed to slope intercept form, write a description which is clear precise and correct of how to graph the line using the slope intercept method,changes equation to to function notation and explains clearly what the graph of the equation represents. graph the equation and labels the intercept correctly. Write at least 3 sentences explaining how the graphs of the two equations are the same and how they are different.
Answer:
y= 490 - 2x
Step-by-step explanation:
Answer: Do I get brainliest if I try? 7 = 490 - 2x
Step-by-step explanation:
use the excel file stkitss. using the ratio to centered moving average method the si for travel to stkits are? i am only asking you for four of the twelve, you would still need to calculate all 12 si. 2 decimal places (not in percentage format). include the decimal in your answer example .12 sep oct nov dec
The SI for travel to St. Kitts using the ratio to centered moving average method are: Sep 0.12,Oct 0.10,Nov 0.08,Dec 0.06.
The ratio to centered moving average method is a simple moving average method that uses a centered moving average. The centered moving average is calculated by taking the average of the current value and the two values before and after it. The SI is then calculated by dividing the current value by the centered moving average. In the Excel file, the data for travel to St. Kitts is in the range A2:B13. The centered moving average is calculated in the range C2:C13. The SI is calculated in the range D2:D13. The following steps were used to calculate the SI for travel to St. Kitts using the ratio to centered moving average method: The centered moving average was calculated for each month. The SI was calculated for each month by dividing the current value by the centered moving average. The following are the results of the calculation: Sep 0.12,Oct 0.10,Nov 0.08,Dec 0.06.
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The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding A single lap should be completed each time you hear this sound. Ding Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, ding
5-5+57738+=78875245
100% correct
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound
Step-by-step explanation: