To graph the inequality y < -5x + 3, you would draw a solid line.
A. True
O B. False
Answer:
A. True
explanation:
Inequalities that use ≤ or ≥ symbols are plotted with a solid line.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 4y = 8
Answer:
y = -x +2
Step-by-step explanation:
4x + 4y = 8 to its slope-intercept form, y = mx + b:
Subtract 4x from both sides of the equation:
4x + 4y - 4x = 8 - 4x
4y = -4x + 8
Divide both sides of the equation by 4 to isolate y:
\(\frac{4y}{4} = \frac{-4x}{4} + \frac{8}{4}\)
y = -x + 2
Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answer:
leading co-efficent is 4
The distance required to stop a car varies
directly as the square of its speed. If 250
feet are required to stop a car traveling 60
miles per hour, how many feet are required to
stop a car traveling 96 miles per hour?
Answer:
400
Step-by-step explanation:
Graph A Graph B 5 2 X X 3 2 3 4 5 Which table and graph represent the equation y = 2x? O A. Table B and graph A O B. Table A and graph B O C. Table B and graph B O D. Table A and graph A
Given:
The equation is y = 2x.
The objective is to find which of the table values match the with a given graphs.
The general equation of straight line is,
\(y=mx+c\)Here, m represents the slope and b represents the y intercept.
Consider the graph A and find the slope of the equation.
Take two coordinates from the graph as,
\(\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(1,2) \end{gathered}\)The formula to find the slope of the equation is,
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2-0}{1-0} \\ m=\frac{2}{1} \\ m=2 \end{gathered}\)Fro mthe graph A, the value of y intercept is 0.
Substitute the obtained values in the equation of straight line.
\(\begin{gathered} y=2x+0 \\ y=2x \end{gathered}\)Thus, the given equation, coordinates of the table A matches with the graph A.
Hence, option (D) is the correct ant
there are five buildings on campus, a, b, c, d, and e. if .40 of the classes are taught in building a, .15 are taught in building b, .10 are taught in building c and .20 are taught in building d, what is the probability a class will be taught in building e?
The probability that a class will be taught in building e is 0.15.
The probability that a class will be taught in building e is 0.15. To calculate this, we need to know the total probability of all the other buildings. The total probability of buildings a, b, c, and d is 0.40 + 0.15 + 0.10 + 0.20 = 0.85. Since there are five buildings on campus, the probability that a class will be taught in building e must be the remainder of 1.00 minus the total probability of the other buildings, which is 0.15.
To understand the calculation of probability, it is important to remember that probabilities must always add up to 1.00, or 100%. This means that when we calculate the probability of one event, we can find the probability of the remaining events by subtracting the calculated probability from 1.00. For example, if we know the probability of a coin being heads is 0.50, then the probability of the coin being tails must be 0.50, since 0.50 + 0.50 = 1.00.
This same principle applies to our question about the five buildings on campus. Since the total probability of buildings a, b, c, and d is 0.85, then the probability of building e must be 0.15 (1.00 - 0.85). This is because the probabilities of buildings a, b, c, d, and e must all add up to 1.00.
Therefore, the probability that a class will be taught in building e is 0.15.
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pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
which the following is a solution to the inequality below
5> x
Answer:
x < 5
Step-by-step explanation:
1) Swap sides
5 > x
Swamp sides:
x < 5
2) Solution on coordinate plane
Solution: x < 5
Interval Notation: (-∞,5)
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
GIVING BRAIN
Line x and line z are straight lines.
Which pair of angles are vertical?
Za and Zo
Zb and d
Za and Zb
Zc and Ze
Answer:
Zc and Ze
Step-by-step explanation:
The two angles are vertical because they are vertically aligned with line x. If you were to draw a line straight through the middle of them they would have an equal amount of space one each side.
translate the equation into a sentence
2(m - n) = x + 7
Two times the quantity of the difference m and n is equation to x more than 7
What do the men destroy on Animal Farm in chapter 8?
The men destroy on Animal Farm by using the windmill.
As per the explanation given in the chapter 8, we have identified that the next morning, the man called Frederick and 14 men arrive at Animal Farm and attempt to take it by force.
But unfortunately the humans are initially successful, but after some time they blow up the windmill, then the animals are completely enraged and drive the men from the farm.
Here in order to destroy, then men are used a hammer and crowbar to drill a hole to pack with blasting powder, but all these are happened because of they are driven off after they use dynamite on the windmill.
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Can someone help me out with this problem How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
The Volume of a Cube
Given a cube-shaped figure of side length L, the volume is calculated by:
\(V=L^3\)
If the volume is known, then the side length can be found by solving for L:
\(L=\sqrt[3]{L}\)
We are given three cube-shaped blocks with known volumes. We'll find the individual side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume 375 cube inches:
\(L_1=\sqrt[3]{375}=7.21\ inch\)
Block 2, volume 648 cube inches:
\(L_2=\sqrt[3]{648}=8.65\ inch\)
Block 3, volume 1029 cube inches:
\(L_3=\sqrt[3]{1029}=10.10\ inch\)
Total height=7.21 inch+8.65 inch+10.10 inch=25.96 inch
The stack of blocks is 25.96 inches tall
why is my food yellow
Answer:
well what are you eating?
Step-by-step explanation:
Answer:
bc I peed on it and bc of my stretchy cheese!!!!!!
Step-by-step explanation:
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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. What values of x will make the absolute value equation, 2x - 4= 15, true?
After factorization, the absolute value of the variable 'x' is 9.
What is factorization method?
The factorization method is used for the quadratic based equation whose highest degree is either two or more than two. Depending upon the degree of the variable, the number of factors are calculated. And by substituting the calculated value to check whether the answer is correct or not.
According to the question, the given linear equation is: |2x - 4| = 15
Now, to calculate the value of the variable 'x' by using factorization method. And to remove the bars which represent absolute value that means positive values
Required expression: |2x - 4| = 15
⇒ 2x = 15 + 4 = 19
⇒ x = 19/2 = 9.5
After factorization, the absolute value of the variable 'x' is 9.
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Melissa has bought a $2 lottery ticket every week for the past 20 years. This week, she won for the first time $2,000, before 30% taxes that are taken out. Compare these winnings to her total investment, and explain if it was a worthwhile investment for her?
Click on the graphic to select the figure that would make the following a reflection in line k
I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.
I hope I helped. Stay safe and God bless!
- Eli <3
Answer:
The First One
Vote for Brainless
NEED HELP ASAP
Tickets to a family concert cost $10 for adults and $3 for children. The concert
organizers collected a total of $900 from ticket sales.
Given the function 10A + 3C = 900:
A) Write an equation to represent C as a function of A. (In essence, solve the equation
for C).
B) Write an equation to represent A as a function of C. (In essence, solve the equation
for A)
**Use math type to type your answer**
Answer:
3C=900-10A
Step-by-step explanation:
The given equation can be written to represent C as a function of A and A as a function of C as C = 300 - 10/3A and A = 90 - 3/10C respectively.
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
(a) The function for the cost of tickets is given as 10A + 3C = 900.
It can be written to represent C in terms of A as,
10A + 3C = 900
⇒ 3C = 900 - 10A
⇒ C = 300 - 10/3A
(b) It can be written to represent A in terms of C as,
10A + 3C = 900
⇒ 10A = 900 - 3C
⇒ A = 90 - 3/10C
Hence, the given equation can be rewritten as C = 300 - 10/3A and A = 90 - 3/10C respectively.
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he length of a rectangle is 7/8 inches, and it has a width of 16/21 inches. Calculate the area for this rectangle in square inches.
Answer:
28 is the answer when I did the math :)
Answer:
i think the answer is 2/3
Step-by-step explanation:
Please Help Me Guys :)
Answer:
5. x=80°, y= 80°
Step-by-step explanation:
5.x=80 (Vertically opposite angle V.O.A)
y=80 (alternate angle)
Find the curvature of the plane curve y=−2t^4 at the point t=1.
K(1)=?
To find curvature of a plane curve at a given point, we need to calculate radius of curvature of curve at that point. The formula for the radius of curvature is given by: R =\([(1 + (dy/dx)^2)^(3/2)]/|d^2y/dx^2|\). The curvature of curve \(y=-2t^4\) at point t=1 is K(1) = 1/R = 2/17.
where dy/dx is the slope of the tangent to the curve at the point, and \(d^2y/dx^2\)is the second derivative of y with respect to x. In this case, we have\(y = -2t^4\), so \(dy/dx = -8t^3\) and \(d^2y/dx^2 = -24t^2.\) At t=1, we have dy/dx = -8 and\(d^2y/dx^2 = -24.\) Substituting these values into the formula for R, we get: \(R = [(1 + (-8)^2)^(3/2)]/|-24| = 17/2,\) Therefore, the curvature of the curve\(y=-2t^4\) at the point t=1 is K(1) = 1/R = 2/17.
The curvature of a curve measures the rate at which the direction of the tangent to the curve changes as we move along the curve. A higher curvature indicates a sharper turn, while a lower curvature indicates a more gradual curve. In this case, the curvature is quite small, indicating a relatively gentle curve at the point t=1.
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Given the following function, find f(-5), f(0), and f(3).
f(x)=x? + 3
f(-5)=
f(0) =
f(3) =
Answer:
f(-5)= -2
f(0) = 3
f(3) = 6
Step-by-step explanation:
f(x) = x + 3
f(-5) = -5 + 3
= -2
f(0) = 0 + 3
=3
f(3) = 3 + 3
=6
9(-1x+1)-7(2x+5)
Im struggling with this one.
Answer:
-16+54x
Step-by-step explanation:
9(-1x+1)-7(2x+5)
-9x+9-7x+45
-9x-7x+9+45
-16x+54
43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. what is the margin of sampling error for a 95% confidence interval?
The margin of sampling error for a 95% confidence interval is 9.7%
How to find the Margin of Error?The formula for margin of error here is;
E = z√(p(1 - p)/N)
where;
n is sample size
z is the z score
p is the sample proportion
z-score for a 95% confidence interval from tables is 1.96.
We are given;
p = 43% = 0.43
n = 100
Thus;
E = 1.96√(0.43(1 - 0.43)/100)
E = 0.097 = 9.7%
Thus, we can conclude that the margin of sampling error for a 95% confidence interval is 9.7%
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A distribution has a mean of 16 and a standard deviation of 6. What is the z score that corresponds with 25?.
Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.
What is a normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
The characteristics of normal distributions are as follows: Bell-like in its symmetry.
The distribution's mean and median, which are both at its center, are equal.
68 percent of the data, or approximately, falls within one standard deviation of the mean.
So, the formula is used to determine the Z score for a data point x in a normal distribution:
Z = z - mean/standard deviation
Now, use the formula to calculate the z value as follows:
Z = z - mean/standard deviation
Z = 25 - 16/6
Z = 9/6
Z = 3/2
Z = 1.5
Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.
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a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
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solve the system by substitution
x-2y=6
x+2y=2
Answer:2
Step-by-step explanation:
Evaluate the sum \( \sum_{k=1}^{5} k(9 k+7) \) \[ \sum_{k=1}^{5} k(9 k+7)= \] (Simplify yo
\(The sum \[\sum\limits_{k = 1}^5 {k\left( {9k + 7} \right)} \] can be calculated as follows:\[\begin{array}{l} \sum\limits_{k = 1}^5 {k\left( {9k + 7} \right)} \\ = \sum\limits_{k = 1}^5 {9{k^2}} + \sum\limits_{k = 1}^5 {7k} \\ = 9\sum\limits_{k = 1}^5 {{k^2}} + 7\sum\limits_{k = 1}^5 k \end{array}\]\)
\(Using the formula for the sum of the first n natural numbers, \[\sum\limits_{k = 1}^n k = \frac{n\left( {n + 1} \right)}{2}\]\)and\(the formula for the sum of the first n squares, \[\sum\limits_{k = 1}^n {{k^2}} = \frac{n\left( {n + 1} \right)\left( {2n + 1} \right)}{6}\]\)
\(we have: \[\sum\limits_{k = 1}^5 k = \frac{5 \cdot 6}{2} = 15\]and \[\sum\limits_{k = 1}^5 {{k^2}} = \frac{5 \cdot 6 \cdot 11}{6} = 55.\]\)
\(Therefore, we have: \[\begin{array}{l} \sum\limits_{k = 1}^5 {k\left( {9k + 7} \right)} \\ = 9\sum\limits_{k = 1}^5 {{k^2}} + 7\sum\limits_{k = 1}^5 k \\ = 9 \cdot 55 + 7 \cdot 15 \\ = 495 + 105 \\ = 600 \end{array}\]\)
Hence, the simplified sum is 600.
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From the mbsa scan performed in task 3, how many users have non-expiring passwords?
Based on the explanation using the combination method, the correct answer to the question is D. All four users have non-expiring passwords.
The MBSA scan likely provided a list of users along with their corresponding password expiration settings. The term "non-expiring passwords" refers to passwords that do not have an expiration date, meaning they remain valid indefinitely.
Now, let's analyze each option given in the question and determine the correct answer using the combination method:
A. 3 of 4:
If three out of the four users have non-expiring passwords, it means that only one user has an expiring password. However, this does not match our definition of non-expiring passwords. Therefore, Option A is incorrect.
B. 1 of 4:
If only one user out of the four has a non-expiring password, it means that the other three users have expiring passwords. This option does not satisfy the condition of non-expiring passwords for the majority of users. Hence, Option B is also incorrect.
C. 2 of 4:
If two users out of the four have non-expiring passwords, it means that the remaining two users have expiring passwords. This option suggests that half of the users have non-expiring passwords, which does not correspond to our definition of non-expiring passwords for the majority of users. Thus, Option C is incorrect.
D. 4 of 4:
If all four users have non-expiring passwords, it means that every user's password is set to never expire. This option aligns with our definition of non-expiring passwords for the majority of users. Therefore, Option D is the correct answer.
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Complete Question:
From the MBSA scan performed in Task 3, how many users have non-expiring passwords?
A. 3 of 4
B. 1 of 4
C. 2 of 4
D. 4 of 4