These tables represents a quadratic function with a vertex at zero negative one what is the average rate of change for the interval from X=9 to x=10
Answers
The average rate of change for the interval from x = 9 to x = 10 will be the negative 19. Then the correct option is A.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
These tables represent a quadratic function with a vertex at (0, -1)
Then the equation of the parabola will be
y = a(x)² – 1
Then the value of a will be
–2 = a(1)² – 1
a = –1
Then the equation will be
y = – x² – 1
Then the average rate of change for the interval from x = 9 to x = 10 will be
Rate = [y(10) – y(9)] / (10 – 9)
Rate = (–101 + 82 ) / 1
Rate = – 19
Then the correct option is A.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ1
Related Questions
How do you turn 5/2 into 10/4?
Answers
Answer:
YOU DO IT X 2
Step-by-step explanation:
f(x)= -3x+20
find f (5)
Answers
Answer:
f(5)=5
Step-by-step explanation:
plug in 5 for x
-3(5)+(20)
-15+20
=5
help me with this question please
Answers
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
we are interested in knowing if the distribution of a given categorical variable is consistent with some null hypothesis which test should be used
Answers
It is important to note that the chi-squared test of independence is applicable for categorical variables, and the assumptions of the test should be met for valid results.
What is null hypothesis?The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.
To determine if the distribution of a given categorical variable is consistent with a null hypothesis, you can use a statistical test called the chi-squared test of independence.
The chi-squared test of independence is used to assess whether there is a significant association between two categorical variables. It compares the observed frequencies (counts) of each category in the given variable with the expected frequencies that would be observed if the null hypothesis were true. The null hypothesis typically assumes that there is no association or relationship between the variables, and any deviations from expected frequencies are due to random chance.
Here are the steps involved in conducting a chi-squared test of independence:
1. Formulate the null and alternative hypotheses: The null hypothesis assumes no association between the variables, while the alternative hypothesis suggests that there is an association.
2. Create a contingency table: Construct a contingency table that shows the observed frequencies of the categories for each variable.
3. Calculate the expected frequencies: Based on the null hypothesis, calculate the expected frequencies for each category. This is typically done assuming independence between the variables.
4. Calculate the test statistic: Using the observed and expected frequencies, calculate the chi-squared test statistic. This measures the overall discrepancy between the observed and expected frequencies.
5. Determine the p-value: The chi-squared test statistic follows a chi-squared distribution. Calculate the p-value associated with the test statistic, which represents the probability of obtaining results as extreme as the observed data under the null hypothesis.
6. Make a decision: Compare the p-value to a predetermined significance level (e.g., 0.05). If the p-value is smaller than the significance level, you reject the null hypothesis and conclude that there is evidence of an association between the variables. Otherwise, if the p-value is larger than the significance level, you fail to reject the null hypothesis and conclude that there is no evidence of an association.
It is important to note that the chi-squared test of independence is applicable for categorical variables, and the assumptions of the test should be met for valid results. These assumptions include having independent observations and sufficient expected frequencies in each cell of the contingency table.
It is also worth mentioning that there are other statistical tests available for specific scenarios or different types of categorical data analysis, such as Fisher's exact test or McNemar's test. The choice of the appropriate test depends on the research question, study design, and the specific characteristics of the data.
Learn more about the null hypothesis on:
https://brainly.com/question/28042334
#SPJ4
Find the linear approximation to the equation f(x,y)=2 3xyat the point (6,2,4), and use it to approximate f(6.18,2.13) f(6.18,2.13)≅ Make sure your answer is accurate to at least three decimal places, or give an exact answer. Question Help: Đideo Score on last try: 0 of 1 pts. See Details for more. You can retry this question below Use a tangent plane to approximate the value of the following function at the point (−4.9,3.9). Give your answer accurate to 4 decimal places. f(x,y)= 125−4x 2−y 2Use a tangent plane to approximate the value of the following function at the point (4.1,15.9) : f(x,y)=arctan(xy 2−1023) Present you answer accurate to four decimal place
Answers
The linear approximation to f(x, y) = 2 + 3xy at (6, 2, 4) is 6x + 18y - 68. Using it, f(6.18, 2.13) is approximately 7.42.
The linear approximation to the function f(x, y) = 2 + 3xy at the point (6, 2, 4) can be found using the concept of tangent planes. By taking the partial derivatives of f(x, y) with respect to x and y, we can determine the equation of the tangent plane at the given point. Then, we can use this tangent plane to approximate the value of f(6.18, 2.13).
To find the linear approximation, we start by calculating the partial derivatives of f(x, y) with respect to x and y:
∂f/∂x = 3y
∂f/∂y = 3x
At the point (6, 2, 4), the partial derivatives are:
∂f/∂x = 3(2) = 6
∂f/∂y = 3(6) = 18
Using these partial derivatives, we can construct the equation of the tangent plane:
f(x, y) ≈ f(6, 2) + ∂f/∂x(x - 6) + ∂f/∂y(y - 2)
Plugging in the values, we get:
f(x, y) ≈ 4 + 6(x - 6) + 18(y - 2)
≈ 4 + 6x - 36 + 18y - 36
≈ 6x + 18y - 68
Now, we can use this tangent plane approximation to find f(6.18, 2.13). Substituting x = 6.18 and y = 2.13 into the equation, we get:
f(6.18, 2.13) ≈ 6(6.18) + 18(2.13) - 68
Calculating the expression, we find:
f(6.18, 2.13) ≈ 37.08 + 38.34 - 68
≈ 7.42
Therefore, the approximation for f(6.18, 2.13) using the linear approximation is approximately 7.42.
In summary, the linear approximation to the function f(x, y) = 2 + 3xy at the point (6, 2, 4) is given by the equation 6x + 18y - 68. Using this tangent plane approximation, the value of f(6.18, 2.13) is approximately 7.42.
To learn more about linear approximation click here: brainly.com/question/33063484
#SPJ11
PLS HELP PLS The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a ASA congruence correspondence?
A. ∠N≅∠M
B. ∠A≅∠M
C. ∠A≅∠O
D. AN¯¯¯≅OM¯¯
Answers
Answer:
A
sinse its side angle side so the angle beside the side is second
hope it helps
Step-by-step explanation:
The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M
What is ASA congruency rule?If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.
According to the given question.
We have two triangle NDA and MTO in which
m ∠NDA = m ∠MTO
and NA = MT
Now, according to ASA congruency rule
NA = MT
if m ∠DNA = m ∠TMO
Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.
Thus, option A is correct.
Find out more information about ASA congruency rule here:
https://brainly.com/question/2848632
#SPJ3
Find the slope and y-intercept
Answers
Answer:
slope = 35/2
y intercept is 0
Step-by-step explanation:
the y-intercept is 0 because you can see from the graph that it intersect with y-axis at (0,0)
Slope = rise /run
pick a point (8, 140)
rise = 140
run = 8
slope = 140/8 = 70/4 = 35/2
If you figure out these questions I’ll give you brainliest
1. Why are they called buildings if there already built
2. Is 5.0 a decimal or an interger
3. Why is it called an apartments if their built together
Answers
Answer:
1: it is called a building cause it can still be improve or built on.
2: its an integer in a decimal formation.
3: cause each unit is apart from the other units even though it is 1 big building.
Step-by-step explanation:
which two of the following expressions are equivalent to \sin(\theta)sin(θ)sine, left parenthesis, theta, right parenthesis?
Answers
The two expressions that are equivalent to sin(θ) are sin²(θ) and 1 - cos²(θ). These expressions represent different trigonometric identities that relate the sine function to other trigonometric functions.
The given expression sin(θ) can be rewritten in two equivalent forms: sin²(θ) and 1 - cos²(θ).
sin²(θ): This expression represents the square of the sine function. It means taking the sine of θ and squaring the result. The square of the sine function is equivalent to multiplying sin(θ) by itself, which matches the given expression sin(θ).
1 - cos²(θ): This expression is based on a trigonometric identity known as the Pythagorean identity, which states that sin²(θ) + cos²(θ) = 1. By rearranging the equation, we can isolate sin²(θ) as 1 - cos²(θ). Therefore, this expression is also equivalent to sin(θ).
These equivalent expressions arise from the fundamental relationships among trigonometric functions and their identities. By manipulating these identities, we can derive various equivalent forms of a given trigonometric expression, as seen with sin(θ).
Learn more about trigonometric refer:
https://brainly.com/question/29156330
#SPJ11
To divide two rational expressions, which fraction, if any, do you flip?
The second fraction
Neither fraction
Both fractions
The first fraction
Answers
Answer:
The second fraction
Step-by-step explanation:
If u do KCF(Keep Change Flip) than u would keep the first fraction change the division symbol to multiplication and flip the second fraction. And than just solve it like u would any other multiplication fraction problem.
We flip the second fraction for the division of the two rational expressions. Option A is correct.
Given that,
To divide two rational expressions, which fraction it to flip, is to be discussed.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
If we preserve the first fraction and alter the division symbol to multiplication, we will flip the second fraction. Then simply solve it like you would any other multiplication fraction issue.
Thus, we flip the second fraction for the division of the two rational expressions. Option A is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Which graph below is a function?
Answers
Answer:
the one below the the circle one
a statistical procedure used to describe the strength and direction of the linear relationship between two factors is called ______
Answers
The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.
Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.
The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:
A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.
A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.
A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.
Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.
In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.
To learn more about correlation
https://brainly.com/question/13879362
#SPJ11
Does the table represent a linear function? *
1. Yes
2.No
Answers
Answer:
Yes
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
m=1*(24+-1*15)/(8+-1*5) | add 24 to -15
m=1*9/(8+-1*5) | add 8 to -5
*m=1*9/(8+-5) | Divide 9 by 3
m=1*3
Calculate the y-axis intercept b by inserting:
General form of the linear function: f(x)=mx+b
Insert 3 for m, 5 for x and 15 for f(x).
| Multiply 3 by 5
15=3*5+1*b | Swap both sides of the equation.
1*b+15=15 | -15
1*b=0
So, the y-axis intercept is at 0
Therefore, the equation of the function is f(x)=3*x+0
What is the measure A in degree, in figure shown
Answers
We can find the angle A using the definition of supplementary angle:
\(\begin{gathered} m\angle A+167.3=180 \\ Solve_{\text{ }}for_{\text{ }}m\angle A: \\ m\angle A=180-167.3 \\ m\angle A=12.7 \end{gathered}\)Answer:
12.7⁰
the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answers
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
why a scientist might decided to set a lower significance level (example: 0.01 instead of 0.05) when conducting their hypothesis test
Answers
A scientist might set a lower significance level to reduce the likelihood of a Type I error (false positive) and increase the confidence in their results.
When conducting a hypothesis test, a scientist uses statistical methods to evaluate the evidence for or against a proposed hypothesis.
The significance level of a hypothesis test is the probability of rejecting the null hypothesis when it is true, which is also known as a Type I error. In other words, a significance level of 0.05 means that there is a 5% chance of rejecting a true null hypothesis, and accepting a false alternative hypothesis.
Setting a lower significance level, such as 0.01, means that the scientist is willing to accept a higher level of confidence in their results and reduce the likelihood of making a Type I error.
This means that the researcher is willing to accept that there is only a 1% chance of rejecting a true null hypothesis, which is a more conservative approach.
There are several reasons why a scientist might choose to set a lower significance level.
First, if the consequences of a false positive are severe or costly, such as in medical research or engineering, then a lower significance level can help to minimize the risk of making a wrong decision.
Second, if the sample size is small, a lower significance level can help to reduce the impact of random variation and increase the confidence in the results.
Finally, if the effect size of the study is small, a lower significance level can help to ensure that the observed difference is not due to chance and is truly meaningful.
In summary, setting a lower significance level can help a scientist to increase the confidence in their results, reduce the likelihood of making a Type I error, and ensure that the observed difference is not due to chance.
However, it is important to balance the need for a high level of confidence with the practical considerations of the study and the potential consequences of a false positive.
For similar question on probability.
https://brainly.com/question/9325204
#SPJ11
Visual literacy look at the three different book covers. one is for older children the other is for teens
Answers
Visual literacy is the ability to understand and interpret visual messages such as images, graphics, and symbols.
In this case, looking at the three different book covers requires visual literacy skills. One cover may be targeted towards older children while the other towards teens. It is important to analyze the visual elements of each cover such as the color scheme, font style, images used, and overall design. These elements can convey different messages and emotions, and understanding them can help the reader better understand the content of the book.
When analyzing the book covers, visual literacy can help identify the intended audience and overall theme of the book. For example, the cover designed for older children may use brighter colors and more playful imagery to capture their attention and convey a sense of adventure and wonder. On the other hand, the cover for teens may have darker colors, more mature images, and a more serious tone to appeal to their interests and experiences. Moreover, visual literacy can also help uncover hidden meanings and symbolism in the covers. An image or symbol may have a deeper meaning that can give insight into the story and characters. By analyzing the visual elements, readers can gain a better understanding of the book's message and themes. In conclusion, visual literacy plays a significant role in interpreting and understanding the visual messages conveyed through book covers. Analyzing the design elements and identifying the intended audience can provide valuable insights into the content and themes of the book.
To know more about Visual literacy visit :-
https://brainly.com/question/29755338
#SPJ11
if you were informed that it takes one year for the earth to revolve around the sun, and that the square of that period was proportional to the cube of the earth's average distance from the sun, what law would fit that description?
Answers
Answer:kepler's 3rd law
Step-by-step explanation:
The monthly rent of Marilyn's house went from $500 to $440, If p is the
percent decrease in the rent, which proportion can be used to calculate p?
A)
р
100
OB)
$440-$500
$440
р
100
$440-$500
$500
$500-$440
$440
$500-$440
P
100
OD)
р
100
$500
Answers
Answer:
p=v-u/t440-500=-60 this is decreasing in the rent so it decreased
If L = 7 inches, W = 5 inches, and H = 3 inches, what is the volume of the rectangular prism?
A.112 in 3
B.105 in 3
C. 142 in3
D. 71 in
Answers
Answer
B.105 in 3
Step-by-step explanation:
7 x 5 x 3 = 105
Please help! ............................................
Answers
Answer:
B. 20
Step-by-step explanation:
60 = 2x + 20
40 = 2x
40/2 = 2x/2
20 = x
Hope this helps :)
Answer:
B. 20
Step-by-step explanation:
In the figure below, the radius ofthe inscribed circle is 6 inches.What is the perimeter of squareWXYZ?
Answers
The perimeter of square WXYZ can be determined by considering the properties of the inscribed circle. The perimeter of square WXYZ is approximately 33.94 inches
In a square, the diagonals bisect each other at right angles and intersect at the center of the square. The radius of the inscribed circle is the distance from the center to any side of the square. Since the radius is given as 6 inches, it is also the distance from the center to any corner of the square.
The radius of the inscribed circle forms a right triangle with half of one side of the square and the diagonal. The length of half a side of the square is equal to the radius of the inscribed circle, which is 6 inches. The diagonal of the square is twice the length of one side, so it is 12 inches.
Using the Pythagorean theorem, we can calculate the length of one side of the square:
(side length)^2 + (side length)^2 = (diagonal length)^2
(6 inches)^2 + (6 inches)^2 = (side length)^2
36 inches^2 + 36 inches^2 = (side length)^2
72 inches^2 = (side length)^2
Taking the square root of both sides, we get:
side length = √72 inches ≈ 8.485 inches
Since the square has four equal sides, the perimeter of the square is:
perimeter = 4 * side length = 4 * 8.485 inches = 33.94 inches
Therefore, the perimeter of square WXYZ is approximately 33.94 inches.
To learn more about Pythagorean theorem click here: brainly.com/question/14930619
#SPJ11
Help me with steps please!
Answers
Answer:
18, 36, 54
Step-by-step explanation:
Find the least common multiple of 6 and 9:
Multiples of 6: 6, 12, 18, ......
Multiples of 9: 9, 18, 27, ......
We see that 18 is the least common multiple of 6 and 9.
Additional multiples of 18 are 36 and 54.
If an integer is divisible by 6 and by 9 , then the integer must be divisible by 54.
How to estimate an integer which is divisible by 6 and by 9?Consider the statement as a contradiction.
The assertion exists that any natural number divisible by 6 and 9 exists also divisible by 54.
Let us consider divisible to mean that the outcome of the division of the number and 54 provides another natural number. We can take the prime factors of 6 and 9 which are {2,3} and {3,3}. We can consider that the product \($2 \times 3 \times 3=18$\) exists a number that exists divisible by 6 and 9 but exists not divisible by 54. Another instance exists the product of \($2 \times 2 \times 3 \times 3=36$\) which exists also not divisible by 54.
Therefore, the correct answer is option e) 54.
To learn more about integers
https://brainly.com/question/96523
#SPJ2
In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation of 5.5 days. What is the length of the gestation period, to the nearest whole number, that is 0.7 standard deviations below the mean?
199 days
279 days
280 days
288 days
Answers
Answer:
280
Step-by-step explanation:
real life example of point in geometry
Answers
Answer:
A location of a place in the Map. The tip of a needle.
Step-by-step explanation:
Which number below has a 3 that is 1/100 of the value of the 3 in the number 1,376
Answers
Answer:
1,386
Step-by-step explanation:
guessed it in my head
Marissa selects a card in a hat, notes which color it is, returns the card to the hat, and repeats. The results of 70 trials are 12 red cards, 38 green cards, and 20 purple cards. What are the experimental probabilities of selecting each color, based on these results?
Probability of selecting a red card=
Probability of selecting a green card=
Probability of selecting a purple card=
Answers
Answer:
Red=17.1%
Green=54.3%
Purple=28.6%
All of these answers are rounded.
Step-by-step explanation:
To solve for all, all you have to do is divide the number of trials of the specific color by the total number of trials. To get a percentage you then multiply by 100%.
Red:
12/70=0.171*100%=17.1%
Green:
38/70=0.543*100%=54.3%
Purple:
20/70=0.286*100%=28.6%
To check if you've rounded correctly, add all your values and they should add up to 100 exactly. If it is slightly over or below you may need to go back and check for a rounding error.
What is the percent
increase from 70 to 77?
Answers
Percentage change = 10%
We can use the formula:
Percent change = \(\frac{New-Old}{Old}\) x 100
Percent change = \(\frac{77-70}{70}\)x100
Percent change = \(\frac{7}{70}\) x 100
Percent change = 0.1 x 100
Percent change = 10%
Answer: 53.9
Step-by-step explanation:
i need help with dis thx
Answers
Answer:
bottom left
Step-by-step explanation:
All of the others follow a pattern of addition or subtraction
An object is thrown upward at a speed of 175 feet per second by a machine from a height of 12 feet off the ground. The height h of the object after t seconds can be found using the equation h 16t² + 175t + 12 When will the height be 180 feet? Select an answer ✓ When will the object reach the ground? Select an answer ✓ Select an answer feet seconds per foot seconds feet per second
Answers
The height of the object will be 180 feet, we need to solve the equation 16t² + 175t + 12 = 180.The units for the time will be in seconds since the given equation represents time in seconds. The units for height will be in feet since the equation represents height in feet.
To find when the height of the object will be 180 feet, we set the equation 16t² + 175t + 12 equal to 180 and solve for t. This gives us:
16t² + 175t + 12 = 180.
Rearranging the equation, we have:
16t² + 175t - 168 = 0.
We can solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the values of t when the height is 180 feet.
To find when the object reaches the ground, we set the equation 16t² + 175t + 12 equal to 0. This represents the height of the object being 0, which occurs when the object hits the ground. Solving this equation will give us the time at which the object reaches the ground.
The units for the time will be in seconds since the given equation represents time in seconds. The units for height will be in feet since the equation represents height in feet.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ11