Answers
If the the a is greater than 1, compared to the parent function the C. Stretched vertically.
How to find the comparison ?The equation y = ax^2 + c represents a quadratic function where "a" is the coefficient of the x^2 term and "c" is a constant term. The parent function of this quadratic function is y = x^2.
If the equation of a quadratic function is given in the form y = ax^2 + c and "a" is greater than 1, then the graph of the function will be stretched vertically and the vertex will be shifted up or down depending on the value of "c".
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Related Questions
La temperatura ambiente a las 6 am era de 59 grados Farenheit. Fue aumentando de forma lineal hasta la 1 pm en que el termómetro marcó 81 grados.
a) Escriba una ecuación lineal que muestre la temperatura en función de la hora en ese intervalo.
b) Calcule con esa ecuación la temperatura a las 11:15 am. Aproxime a la décima de grado Farenheit si fuera necesario.
Answers
The linear function that represent this problem is 7y = 22x + 127, and the temperature at 11:15am is 53.19 degrees
What is the linear equationa.
We can take two points from this to find the slope and y - intercept to determine the linear function.
A(6, 59)
B(13, 81)
The slope of a linear equation has a formula of ;
m = y₂ - y₁ / x₂ - x₁
m = 81 - 59 / 13 - 6
m = 22/7
Using the slope to find the y - intercept, we need just one point;
y = mx + c
59 = 22/7(13) + c
59 = 286/7 + c
c = 59 - 286/7
c = 127/7
The equation can be written as;
y = 22/7x + 127/7
rewriting this;
7y = 22x + 127
b. The temperature at 11.15am
Substituting this into the equation;
7y = 22(11.15) + 127
7y = 372.3
y = 53.19 degrees Fahrenheit
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Translation:
The room temperature at 6 am was 59 degrees Fahrenheit. It was increasing linearly until 1 pm when the thermometer marked 81 degrees. a) Write a linear equation that shows the temperature as a function of time in that interval. b) Calculate with this equation the temperature at 11:15 am. Round to the nearest tenth of a degree Fahrenheit if necessary.
Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.
Answers
x + 5
(43) + 5 = 48
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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A coroner uses a formula, derived from Newton's Law of Cooling, to calculate the elapsed time since a person died. The formula is t = -10 ln ((T-R)/ (37-R))
where t is the time in hours since the death, T is the body's temperature measured in C and R is the constant room temperature in C.
An accountant stayed late at work one evening and was found dead in his office the next morning. The officece temperature was constant at 21C
(a) At 10 am the coroner measured the body temperature. The temperature of the body was found to be 29.7C. Determine the accountant's estimated time of death, leave your answer
(b) What would the temperature of the body be at 10am, if the accountant had died at 2am?
(c) Sketch graphs of t versus T for R = 18; 21; 24 on the same axes, clearly showing the vertical asymptote for each graph.
(d) If the constant oce temperature had been less than 21C, would the time of death found in (a) be earlier or later. Give reasons for your answer.
Answers
The estimated time of death of the accountant was approximately 5.87 hours before 10 am, which is 4:13 am. If the accountant had died at 2 am, his body temperature would have been approximately 23.7C at 10 am. The graphs of t versus T for R = 18, 21, and 24 have vertical asymptotes at T = R. If the constant office temperature had been less than 29.7C, the time of death found in a would be later.
In this part, Substituting T = 29.7C and R = 21C into the formula, we get:
t = -10 ln ((29.7 - 21)/ (37 - 21))
t ≈ 5.87 hours
Therefore, the estimated time of death of the accountant was approximately 5.87 hours before 10 am, which is 4:13 am.
Substituting t = 8 hours, T = unknown, and R = 21C into the formula, we get:
8 = -10 ln ((T - 21)/ (37 - 21))
Solving for T, we get:
T ≈ 23.7C
Therefore, if the accountant had died at 2 am, his body temperature would have been approximately 23.7C at 10 am.
The graph of t versus T for R = 18, 21, and 24 on the same axes are shown. As R increases, the rate at which the temperature of the body decreases increases, resulting in a steeper graph.
If the constant office temperature had been less than 21C, the time of death found in (a) would be later. This is because a lower room temperature would slow down the cooling of the body, resulting in a slower rate of temperature decrease. As a result, the body temperature would take longer to reach 29.7C, leading to a later estimated time of death.
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Which expression is equivalent to 100+20? 5(20+3)5(20+3) 4(25+6)4(25+6) 10(10+2)10(10+2) 5(20+20)5(20+20)
Answers
Answer:
Step-by-step explanation:
10 (10+2)
You bought lunch for you and your friend. Lunch came to $22.45 and the sales tax
rate was 9.5%. What is the sales tax amount? (Show your work)
Answers
Step-by-step explanation:
⇢ \( \sf 22.45 × \frac{9.5}{100} \)
⇢ \( \sf \bold{22.45} × 0.095 \)
⇢ 2.13275
⇢2.1 (1 dp)
\( \therefore \) Sales tax = $2.1
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
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Answer:
It is the first one 15 is the y intercept slope 8/1
Two increased by five times a number is twenty two
What is the equation
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Answer:
2 + 5 x a = 22
Step-by-step explanation:
HELP PLEASE EITHER ONE!! JUST SHOW ME HOW!! THANK YOU
Answers
Please help me please
Answers
Hong rode the scooter for 61 minutes.
What is the algebra?
Algebra is a branch of mathematics that deals with mathematical equations and their properties. It is a way to represent and solve problems using mathematical symbols, letters and numbers.
We can use algebra to solve for the number of minutes Hong rode the scooter. Let x be the number of minutes Hong rode the scooter.
We know that the total bill is the sum of the start fee and the per-minute fee.
So, we can set up the equation as:
Total bill = start fee + per-minute fee
In this case:
10.88 = 6 + (x * 0.08)
We can then solve for x by isolating it on one side of the equation:
10.88 = 6 + (x * 0.08)
10.88 - 6 = x * 0.08
4.88 = x * 0.08
x = 4.88 / 0.08
x = 61
So, Hong rode the scooter for 61 minutes.
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Answer plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Step-by-step explanation:
10+60t≤280
60t≤280-10
60t≤270
6t≤27
2t≤9
t≤9/2
t≤4.5
t=4 hours
first subtract $10 from$280 and you get $270
270 divided by 60 = 4.5
so the answer is four and a half hours
evaluate the six trigonometric functions at 11pi/3. (give an exact answer, not a decimal approximation.)
Answers
The six trigonometric functions at 11π/3 are as follows-
sin (11π/3) = -\(\sqrt{3}\)/2
cos (11π/3) = 1/2
tan (11π/3) = -\(\sqrt{3}\)
cot (11π/3) = -1/\(\sqrt{3}\)
sec (11π/3) = 2
cosec (11π/3) = -2/ \(\sqrt{3}\)
Let us evaluate the six trigonometric functions at 11π/3 as follows -
11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.
a. sin (11π/3) = sin (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= sin (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.
= -sin (π/3)
= -\(\sqrt{3}\)/2
Hence, sin (11π/3) = -\(\sqrt{3}\)/2
b. cos (11π/3) = cos (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= cos (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.
= cos (π/3)
= 1/2
Hence, cos (11π/3) = 1/2
c. tan (11π/3) = tan (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= tan (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.
= -tan (π/3)
= -\(\sqrt{3}\)
Hence, tan (11π/3) = -\(\sqrt{3}\)
d. cot (11π/3) = 1/ tan (11π/3)
Hence, cot (11π/3) = - 1/ \(\sqrt{3}\)
e. sec (11π/3) = 1/ cos (11π/3)
Hence, sec (11π/3) = 2
f. cosec (11π/3) = 1/ sin (11π/3)
Hence, cosec (11π/3) = -2/ \(\sqrt{3}\)
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Did I get number 11 correct? Simplify all irrational and complex situations
Answers
Given the quadratic equation
\(x^2+2x+37=0\)We can find the solution using the quadratic formula. The formula for the method is given below.
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)To get a,b,c we would compare the given equation with the general representation of a quadratic equation
\(ax^2+bx+c\)Therefore, a=1, b=2 and c=37
Thus;
\(\begin{gathered} x=\frac{-2\pm\sqrt[]{2^2-(4\times1\times37)}}{2\times1} \\ x=\frac{-2\pm\sqrt[]{4-148}}{2} \\ x=\frac{-2\pm\sqrt[]{-144}}{2} \\ \therefore i^2=-1 \\ We\text{ would have;} \\ x=\frac{-2\pm\sqrt[]{144i^2}}{2} \\ x=\frac{-2\pm12i}{2} \\ x=\frac{2(-1\pm6i)}{2} \\ x=-1\pm6i \end{gathered}\)Answer:
\(x=-1\pm6i\)PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answers
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
2-9 of the students are in a school are in 6th grade how many sixth graders are there if the school has 27 students
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Answer:
Step-by-step explanation:
What kind of triangle is this?
900
460
440
acute
right
obtuse
Answers
Answer:that is a scalene triangle
Plz help I need help
Answers
Answer:
The answer will be -45/4 or -11 1/4
Step-by-step explanation:
The first thing you will do is convert both numbers into improper fractions. -4 1/2 will be -9/2 and 2 1/2 will be 5/2. Once you do that, you will multiply each fraction and you should get -45/4. Finally, you would convert that into a mixed number which would be -11 1/4.
Hope that helps and if not, let me know!!
Find the area of the polygon. 10cm 10cm 16cm
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Answer:
see the attachment photo!
Los 1600 euros de alquiler de un terreno se reparten entre tres ganaderos que llevan alli a pastar sus ovejas. Como no tienen el mismo número de ovejas, deciden pagar proporcionalmente al número de ovejas de cada uno. Si el primero tiene 120 Ovejas,el segundo 72 y el tercero 68. ¿ Cuánto paga cada uno?
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So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros
What is proportion?Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.
Here,
To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:
120 + 72 + 68 = 260
The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:
0.4615 x 1600 = 738.40 euros
Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:
0.2769 x 1600 = 443.04 euros
The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:
0.2615 x 1600 = 418.56 euros
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Complete question:
The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?
prove trigonometric identity:
\( { \sin}^{2} + \cos ^{2} = 1\)
Please show proof and explanation I really need help
Answers
from the pic above, hope it helps you
![prove trigonometric identity: [tex] { \sin}^{2} + \cos ^{2} = 1[/tex]Please show proof and explanation](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/6wS4E0FFJynjSi1BEEkuT4Veu346BZHf.jpeg)
The width of a rectangle is 5 ft less than the length. The area of the rectangle is 234f * t ^ 2 Find the length Land width W of the rectangle: L = W =
Answers
Answer:18x13
Step-by-step explanation:
6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.
Mrs. Smith has 40 students in her class. The ratio of students who stay after school for extra help to students who stay after school for soccer practice is 3:5. How many students stay after school for soccer practice?
Answers
Answer:
25
Step-by-step explanation:
1: Add up the ratio then divide by the number of students.
3+5=8
40/8=5
2: Each count is equal to 5 students.
3: Multiply the ratio of students who stay after soccer practice by Each count
5*5=25
Increase 16000 by 4.6%
Answers
Answer:
16 736
Step-by-step explanation:
We know this because
16 000 x 4.6 = 736
So, 16 000 + 736 + 16 736
I Desperately need help
Answers
Answer:
hi
Step-by-step explanation:
How do you do this question?
Answers
Step-by-step explanation:
K is an upper bound for│f"(x)│on the interval [0, 1], so x ≤ 1.
Sine and cosine have maximums of 1, so an upper bound of │f"(x)│is:
│f"(x)│≤ (76 · 1 + 152 · 1 · 1)
│f"(x)│≤ 228
which of the following numbers are divisible by 2 3 and 6
Answers
Answers
31290 (a)
97656 (b)
987654 (c)
1790184 (e)
973212 (h)
all are multiples of the following numbers listed
Answer:
31290
97656
986754
1790184
973212.
Step-by-step explanation:
If a number is divisible by 2 and 3 it is also divisible by 6.
No odd numbers are divisible by 6 so this rules out 4883.
If a number is divisible by 3 then the sum of its digits add up to 3, 6 or 9.
So 31290 is divisible by 3
It is also even so its also divisible by 6.
By the same reasoning 97656, 986754, 1790184 and 973212 are divisible by 2 3 and 6.
NEED HELP 50 POINTS TO WHOEVER CAN ANSWER
Eric is driving to Los Angeles. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Eric has 65 miles to his destination after 35 minutes of driving, and he has 44 miles to his destination after 63 minutes of driving. How many miles will he have to his destination after 79 minutes of driving?
Answers
Answer:
32 Miles
Step-by-step explanation:
Okay so this will take a moment:
Let's set up the following variables:
d = total distance of the trip
v = some rate of velocity/travel
Note: t is not a variable here as it would denote time, but we know the time, so rate of travel as a variable is next best.
With those variables, we can set up 3 equations as follows:
d - 35v = 65
d - 63v = 44
d - 79v = x
The equations being read as:
[total distance] - [time and rate of travel] = [distance remaining]
Now if we restructure each of those equations, you will have:
d = 35v + 65
d = 63v + 44
d = 79v + x
Now you can treat this like a system of equations. First we will solve for the variable: v
Since the total distance remains the same, we can set up the following equation:
35v + 65 = 63v + 44subtract 35v from both sides
65 = 28v + 44subtract 44 from both sides
21 = 28vNow if we turn it around:
28v = 21The common factor of both of these numbers is 7, so divide both by 7:
4v = 3Therefore:
v = \(\frac{3}{4}\)That was a lot. NOW that you know the value of v, you can find the total distance that Eric needs to travel, so plug it into one of the equations:
d = 35( \(\frac{3}{4}\) ) + 65
Solve, and you get:
d = 91.25 miles = \(\frac{365}{4}\) miles
Now that you know what the variables: v and d , you can solve for x in the other equation: d = 79v + x
\(\frac{365}{4}\) = 79 ( \(\frac{3}{4}\) ) + x
Multiply.
\(\frac{365}{4}\) = \(\frac{237}{4}\) + x
Subtract.
\(\frac{365}{4}\) - \(\frac{237}{4}\) = x
Simplify.
x = \(\frac{128}{4}\) = 32
Voila! 32 Miles to go! Good Luck!
find the distance from line y= -3x + 4 to line y = -3x - 1
Answers
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
Answers
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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prime factorization of 5 is?
Answers
Answer:
5 is a prime number which means that it can only have 2 factors which is 1 and 5
Step-by-step explanation:
Hope this helps:)