Answer:
Step-by-step explanation:
lol
When solving x² - 10x-13-0 by completing the square, which equation is a step in the
process?
1) (x - 5)² = 38
2) (x - 5)² = 12
3) (x-10)² = 38
4) (x-10)² = 12
Answer:
1)
Step-by-step explanation:
\( {(x - 5)}^{2} = 38\)
The required step solving the equation using Completing the square method is (x - 5)² = 38.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: x² - 10x-13 = 0
Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.
So, x² - 10x-13 = 0
x² - 10x-13 -5² + 5² = 0
(x - 5)² - 25 - 13 = 0
(x-5)² -38= 0
(x - 5)² = 38
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Benny the tiger, eats 12.5 pounds of meat per day. Each pound of meat costs $3.10. Jasmine prefers hay and alfalfa. She eats 200 pounds a day.Which animal cost more to feed each day? Show how you know
Answer:
Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.
Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
They met each other one day. How many days later ws they meet each other again? Pleaseee answer this question
Answer:
576
Step-by-step explanation:
64×9 = 576
72×8= 576
The LCM of both numbers is 576
Answer:
Step-by-step explanation:
It will be the least common multiple of 64 and 72 days
64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶
72 = 2*2*2*3*3 = 2³ * 3²
LCM = 2⁶ * 3² = 64 * 9 = 576
Both will meet each other again 576 days
Use the graph to answer questions. Part A Which inequality does graph representPart B Find two solutions to the graph and verify algebraically
For part A, first observe that the line in the graph is not dotted, but continuous, so you have an inequality of type ≤ or ≥.
Now, notice that if you take some random points on the Cartesian plane, for example, (5,6), (4,-3),(-3,6) and (-6,-7) the first and third points belong to the shaded region, while the second and fourth points do not.
As you can see in the points that if they belong to the shaded region, the y coordinate is greater than the x coordinate.
On the other hand, at the points that do not belong to the shaded region, the Y coordinate is less than the x coordinate.
Therefore, the inequality represented by the graph is
\(y\ge\frac{1}{2}x-1\)For part B, you can take, for example, the points or ordered pairs that you used in part A and replace in the inequality. So for (5,6) you have
\(\begin{gathered} y\ge\frac{1}{2}x-1 \\ 6\ge\frac{1}{2}(5)-1 \\ 6\ge\frac{5}{2}-1 \\ 6\ge\frac{3}{2} \\ 6\ge1.5 \end{gathered}\)Since you get a true statement then the point (5,6) is a solution. Now for (-3,6) you have
\(\begin{gathered} y\ge\frac{1}{2}x-1 \\ 6\ge\frac{1}{2}(-3)-1 \\ 6\ge\frac{-3}{2}-1 \\ 6\ge\frac{-5}{2} \\ 6\ge-2.5 \end{gathered}\)Since you get a true statement then the point (-3,6) is a solution too.
Therefore, two solutions to the graph are (5,6) and (-3,6).
The R command for calculating the critical value tos7 of the t distribution with 7 degrees of freedom is "qt(0.95, 7):" True False
True. The R command for calculating the critical value (tos7) of the t distribution with 7 degrees of freedom is "qt(0.95, 7)".
This command provides the t value associated with the 95% confidence level and 7 degrees of freedom based on t distribution.
When the sample size is small and the population standard deviation is unknown, statistical inference frequently uses the t-distribution, a probability distribution. The t-distribution resembles the normal distribution but has heavier tails, making it more dispersed and having higher tail probabilities. As a result, it is more suitable for small sample sizes. Using a sample as a population's mean, the t-distribution is used to estimate confidence intervals and test population mean hypotheses. It is a crucial tool for evaluating the statistical significance of research findings and is commonly utilised in experimental studies. Essentially, the t-distribution offers a mechanism to take into consideration the elevated level of uncertainty.
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which of the following samples is used as a means of ensuring that convenience samples will have the desired proportion of different respondent classes? a. convenience sampling. b. judgement sampling. c. referral sampling. d.
Referral sampling is the method used to ensure that convenience samples will have the desired proportion of different respondent classes.
Convenience sampling is a non-probability sampling method that involves selecting participants who are readily available and easily accessible. However, convenience samples may not represent the entire population accurately, as they may introduce biases and lack diversity.
To address this limitation, referral sampling is often employed. Referral sampling involves asking participants from the convenience sample to refer other individuals who meet specific criteria or belong to certain respondent classes. By relying on referrals, researchers can increase the chances of obtaining a more diverse sample with the desired proportion of different respondent classes.
Referral sampling allows researchers to tap into the social networks of the initial convenience sample participants, which can help ensure a broader representation of the population. By leveraging the connections and referrals within the sample, researchers can enhance the diversity and representation of different respondent classes in the study, improving the overall quality and validity of the findings. Therefore, referral sampling is used as a means of ensuring that convenience samples will have the desired proportion of different respondent classes.
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What is the area of a square with side lengths of 3/5 units?
Find $10 as a percentage of $250.
\( \frac{10}{250} \times 100 \\ = 4\%\)
the answer is 4
hope my answer helps! :)
have a nice day
If researchers report that the results from their study were significant, p< .05, this means that:
A.) If they conducted the study over they would get the same results less than 5 times in 100.
B.) The results are untrustworthy
C.) We would expect the results to occur by chance less than 95 times out of 100
D.) We would expect the results to occur by chance less than 5 times out of 100.
If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.
What does it indicate when researchers report results with p < .05?When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.
In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.
Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.
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4 - Which of the following graphs represents a linear function?
coordinate plane with a graph drawn that passes through the points 2 comma negative 2 and 2 comma negative 1 and 2 comma 0
coordinate plane with a graph drawn that passes through the points negative 1 comma 0 and 0 comma negative 2 and 1 comma negative 4
coordinate plane with a graph that passes through the points negative 2 comma 0 and 0 comma negative 4 and 2 comma 0
coordinate plane with a graph that passes through the points negative 3 comma 0 and 0 comma negative 3 and 3 comma 0 and 0 comma 3
The required graph of the coordinate plane with a graph drawn that passes through the points (-1, 0) and (0, -2 )and (1, -4). Op[tio C is correct.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
The graph that represents a linear function is:
coordinate plane with a graph drawn that passes through the points (-1, 0) and (0, -2 )and (1, -4)
This graph shows a straight line passing through three points that are collinear, which is a characteristic of a linear function. The slope of this line is 4/2 = 2, which is constant, indicating a linear relationship between the variables. Therefore, this graph represents a linear function.
The other graphs do not represent linear functions because they either have curves or do not show a constant relationship between the variables.
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Applying PL, construct a symbolicmodel of the logical structure of the following argument. Construct a truth table to determine if the argument is valid. Be sure to state whether the argument is valid or invalid. If the argument is invalid then indicate a row that shows this. (4 points)
Jayco qualifies as a small business if and only if it has sales that are not large enough to influence its environment and it is privately owned by a small group of individuals. Jayco does not qualify as a small business. Therefore, Jayco must not be privately owned by a small group of individuals.
Please use these symbols: ~, v, • , ⊃, ≡
We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.
To construct a symbolic model of the argument, let's define the following symbols:
P: Jayco qualifies as a small business.
Q: Jayco has sales that are not large enough to influence its environment.
R: Jayco is privately owned by a small group of individuals.
Now we can represent the statements in symbolic form:
Premise 1: P ≡ (Q • R)
Premise 2: ~P
Conclusion: ~R
To determine if the argument is valid or invalid, we can construct a truth table:
| P | Q | R | P ≡ (Q • R) | ~P | ~R |
|---|---|---|-------------|----|----|
| T | T | T | T | F | F |
| T | T | F | F | F | T |
| T | F | T | T | F | F |
| T | F | F | F | F | T |
| F | T | T | F | T | F |
| F | T | F | T | T | T |
| F | F | T | F | T | F |
| F | F | F | T | T | T |
From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.
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Brandon knows that 2,724 x 19 = 51.756
Use this understanding to help Brandon solve 272.4 x 1.9.
Choose 1 answer.
A. 5.1756
B. 51.756
C. 517.56
D. 5,175.6
Answer:
B po sure po ako
Step-by-step explanation:
keep. learning po
A basketball player makes 80% of free throws. The random numbers below represent 20 trials for a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed free throw. Use this simulation to estimate the probability that the player makes both free throws.
Answer:
65%
Step-by-step explanation:
its not 75
hope this helps! :>
find the area of the figure. please need help
Answer:
24
Step-by-step explanation:
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $356 to drive 380 mi and in June it cost her $404 to drive 620 mi. The function is C(d)=0.2+280 (b) Use part (a) to predict the cost of driving 1800 miles per month. (c) Draw a graph (d) What does the slope represent? What does the C-intercept represent? Why does a linear function give a suitable model in this situation?
(b) $640 (c) y-int of 280, positive slope (d) It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). A linear function is suitable because the monthly cost increases as the number of miles driven increases.
To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.
(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).
The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.
This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.
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A dilver descends to a depth of -25.6 feet relative to sea level. How many feet must the diver ascend to reach sea level?
A: 0.6 feet
B: 25 feet
C: 25.6 feet
D: 256 feet
-6(6v - 7) = 186
What does v equal?
Answer:
-4
Step-by-step explanation:
-36v+42=186
-36v=144
v=-4
Answer:
v=-4
Step-by-step explanation:
A line has a slope of 9 and passes through the point (1,5). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y= 9x -4
Step-by-step explanation:
Please see attached picture for full solution.
The integers here are 9 and -4.
There isnt a need to use fractions in this case and hence I did not write the integers into a fraction (e.g. -4 into \( \frac{ - 4}{1} \)) since the question requires them to be in the simplest form.
Determine which answer in the solution set will make the equation true.
2p + 9 = 4p − 13
S: {−11, 0, 11, 22}
Answer:
11
Step-by-step explanation:
If you input the number and then solve, you should get that #=#
2(11)+9=4(11)-13
22+9=44-13
31=31
Answer: 11
Step-by-step explanation: 2(11)+9=4(11)-13, 22+9=44-13, 31=31
Which value of xxx makes 7+5(x-3)=227+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
x=4x=4x, equals, 4
(Choice B)
B
x=5x=5x, equals, 5
(Choice C, Checked)
C
x=6x=6x, equals, 6
(Choice D)
D
x=7x=7x, equals, 7
Report a problem
Answer:
Step 1: Distribute 5
7 + 5x - 15 = 22
Step 2: Combine like terms
5x - 8 = 22
Step 3: Add 8 to both sides
5x = 30
Step 4: Divide both sides by 5
x = 6
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
First Distribute 5
7 + 5x - 15 = 22
second Combine like terms
5x - 8 = 22
third Add 8 to both sides
5x = 30
lastly Divide both sides by 5
x = 6
there you go please give brainly crown
Solve the following quadratic equation (x-18)^2=1. A. x = 19 and x = 17 B. x = -19 and x = -17 C. x = -19 and x = 17 D. x = 19 and x = -17
Answer:
D. x=19
Step-by-step explanation:
(x-18)^2=1
(square root both sides to get ride of the ^2)
x-18=1
+18 +18
x=19
The solution of the given quadratic equation is x=19. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is (x-18)²=1.
Square root on both sides of the equation, we get
x-18=1
x=1+18
x=19
Therefore, option A is the correct answer.
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Professor Nwamabi is conducting an experiment in which he is examining the effects of air conditioning on sleep habits. 100 participants are randomly assigned into two groups, one of which sleeps for a week in an air conditioned setting and of which sleeps in a room without air conditioning. After a week he has various physiological markers assessed to see if the groups are different. In this research, the use of air conditioning represents a(n) ________ variable.
In the research of Professor Nwamabi the use of air conditioning represents independent variable.
Given 100 participants are randomly selected in a research in which effects of air conditioning on sleep habits is studied.
Dependent variable is the variable whose value is dependent on the other variables like increase in profit and production.
Independent variable is the variable whose value is not dependent on the other variables.
In the research of Professor Nwamabi in which he is examining the effects of air conditioning on sleep habits, use of air conditioning represents independent variable. In this study the effect is on sleep habits means the value of sleep habits will change due to use of air conditioning. It shows that the use of air conditioning is not depending on other variable in the research.
Hence the use of air conditioning represents the independent variable.
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Find the value of x and m
Answer:
x = 3
∠AED = ∠ABC = 31
Step-by-step explanation:
Since DE is parallel to BC, angles ∠AED = ∠ABC
11x - 2 = 6x + 13
11x - 6x = 13 + 2
5x = 15
x = 15/5 = 3
∠ABC = 6x + 13 = 6(3) + 13 = 31
write the standard equation of the conic section you chose with its center or vertex at the origin. describe the graph. 15px
The equation you mentioned, "15px," does not specify a conic section or provide enough information to determine the standard equation or describe the graph.
To determine the standard equation of a conic section with its center or vertex at the origin, you need more specific details about the conic section, such as its shape (circle, ellipse, parabola, or hyperbola) and additional parameters like the radius, semi-major axis, semi-minor axis, eccentricity, or focal length.
Once you have the necessary information, you can use the properties and characteristics of the specific conic section to derive its standard equation. The standard equations for different conic sections will have different forms and coefficients.
Please provide more information or clarify the conic section you are referring to so that I can assist you further in determining its standard equation and describing its graph.
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What is the slope of the graphed line
Answer:
3/9 or 1/3 is the slope
Step-by-step explanation:
yeah
A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
12f + 9.8g + 5.7 centimeters
Step-by-step explanation:
Side A = (9.8f-8.4) centimeters
Side B = (2.2f+4.9) centimeters
Side C = (9.8g+9.2) centimeters.
Perimeter of a triangle = Side A + Side B + Side C
= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)
= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2
Collect like terms
= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2
= 12f + 9.8g + 5.7 centimeters
Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters
LOGIC, Use the model universe method to show the following invalid.
(x) (AxBx) (3x)Ax :: (x) (Ax v Bx)
The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.
Let's consider the following interpretation:
Domain of discourse: {1, 2}
A(x): x is even
B(x): x is odd
Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).
However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.
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An article marked at 1,200 is sold an 8% discount find the s.p of the article?
Solve for brainliest
Answer:
X = 18 Y= 30
Step-by-step explanation:
Since you have to do times two to X and Y.
Mark as brainliest plz
Answer: y=30 x=18
Step-by-step explanation:
16x2=32
so everything else must be multiplied by 2 bc the shape is 2 times bigger according to 16 and 32
15x2=30
so 30=y
9x2=18
so 18=x
In the right triangle below b = 18 and c = 20, solve for a in simplified radical form.
Answer:
a = 2 radical 19
Step-by-step explanation:
a^2 + 18^2 = 20^2
a^2 + 324 = 400
subtract 324 from both sides
a^2 = 76
square root both sides
a = radical 76
simplify radical to get 2 radical 19