1.
For options A-E choose ALL of the expressions that are equivalent to 3(4x + 3).
A.
12x +3
B.
3(3+4x)
C.
43 +3 + 4x + 3 + 4x + 3
D
7.0 +6
E.
12x + 9
Answers
Answer:
B and E
Step-by-step explanation:
A. Incorrect; the expanded form of 3(4x + 3) is 12x + 9
B. Correct; the cumulative property of addition was applied here.
C. Incorrect; this adds up to 8x + 52, which is not equivalent to 12x + 9
D. Incorrect; this equals 13
E. Correct; this is the expanded form of 3(4x + 3)
Answer:
b e
becuase it is b and e
Related Questions
a quadrilateral with vertical at A(4,-4), B(4,-16),C(12,-16), and D(12,-4) has been dilated with a center at the origin.The image of D, point D’ has coordinates (36,-12). What is the scale factor of the dilation?
Answers
Let's start with point D. The distance between the origin and point D is:
sqrt((12-0)^2 + (-4-0)^2) = sqrt(144 + 16) = sqrt(160)
The distance between the origin and point D' is:
sqrt((36-0)^2 + (-12-0)^2) = sqrt(1296 + 144) = sqrt(1440)
So the scale factor for the dilation with respect to point D is:
sqrt(1440) / sqrt(160) = 3
Similarly, we can find the scale factor for the other points in the quadrilateral:
For point A, the distance ratio is: sqrt((4-0)^2 + (-4-0)^2) / sqrt((0-0)^2 + (0-0)^2) = sqrt(32) / 0 = undefined (since the origin is the center of dilation and we cannot divide by zero).
For point B, the distance ratio is: sqrt((4-0)^2 + (-16-0)^2) / sqrt((0-0)^2 + (0-0)^2) = 4.
For point C, the distance ratio is: sqrt((12-0)^2 + (-16-0)^2) / sqrt((0-0)^2 + (0-0)^2) = 4.
Since the scale factor is the same for all points, we can conclude that the quadrilateral was dilated by a scale factor of 3 with respect to the origin.
1. Calculate the rate of change for the following data:
Answers
PLEASE HELP ME I WILL GIVE BRAINLY TO THE BEST.
Just fill in those blanks and for the explanation question it doesn't have to be long 1 sentence will be alr
Answers
1. A = 45° B = 110°
2. B = 88° C = 44°
3. A = 59° B = 48° C= 73°
4. The measure of the exterior angle is 108°
5. The tornado's direction needs to change by 30°
The sum of interior angles of triangle is always equal to 180°.
Now let's apply it in the given questions.
1. A = x
B = x + 65
C = 25
So, x + x + 65 + 25 = 180
2x = 180 - 90
x = 90/2
x = 45°
2. x + 48 + x - 44 = 180
2x = 180 - 4
x = 176/2
x = 88°
3. x + 73 + x - 11 = 180
2x = 180 - 62
x = 118/2
x = 59°
4. Let the third interior angle be b.
2a + b = 180
b = 180 - 2a
now by applying angle sum property
a + 10 + 44 + 180 - 2a = 180
2a - a = 54
a = 54°
the exterior angle is 2a that is 54*2 = 108°
5. For the tornado to deviate and pass through radar station instead of cell phone tower the angle that needs to be made will be nothing but the third interior angle of the triangle as the tornado is at the vertex.
Let us suppose the angle to be y
so y + 75 + 75 = 180
y = 180 - 150
y = 30°
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when we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating. true or false
Answers
False.
When conducting time series forecasting, it is not necessarily safest to utilize regression analysis. Regression analysis is a statistical method used to model the relationship between a dependent variable and one or more independent variables. However, it may not be the most appropriate technique for time series forecasting.
Time series forecasting involves analyzing and predicting patterns and trends in sequential data over time. Techniques specifically designed for time series analysis, such as ARIMA (Autoregressive Integrated Moving Average) models, exponential smoothing methods, or state space models, are generally more suitable for time series forecasting.
Regression analysis assumes that there is a linear relationship between variables, which may not hold in time series data where patterns can exhibit trends, seasonality, or other complex dynamics. Extrapolation, which involves extending a trend beyond the observed data range, can still occur in regression analysis if not properly accounted for.
Therefore, it is important to choose appropriate time series forecasting methods rather than relying solely on regression analysis to ensure accurate and reliable predictions.
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What is the equation for the linear relationship in slope intercept form?
Answers
Answer:
y=-2/3x+4
Step-by-step explanation:
slope intercept form = y=mx+b
y=-2/3x+4
A main task for members during the final session is to put into words what has transpired from __________.
Answers
The main task for members during the final session is to put into words what has transpired from the first to the final session.
What happens in the first session of group therapy?The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.
What is the first therapy session called?Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.
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what is the square root of 5 divided by 5 square root of 3?
Answers
Just the first 3 numbers
plsssss be quick!!!
What is the solution to this system of equations?
1/4x+1 1/2y= 5/8
3/4x- 1 1/2y= 3 3/8
A) (4,-1/4)
B) (4,-9/16)
C) no solution
D) infinitely many solutions
Answers
Find the inequality represented by the graph.
Answers
Answer:
\(y<-\frac{4}{3}x+5\)
Step-by-step explanation:
Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).
Since, the shaded area is below the dotted line, inequality will have the sign less than (<).
Therefore, equation of the inequality will be in the form of,
y < mx + b
Here, m = slope of the line
b = y-intercept
Slope of the line passing through two points (0, 5) and (3, 1),
m = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{5-1}{0-3}\)
= \(-\frac{4}{3}\)
Y-intercept (at x = 0),
b = 5
Therefore, equation of the inequality will be,
\(y<-\frac{4}{3}x+5\)
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simplify 4b²−2b+7b−6b+1
Answers
Answer:
=4b^2−b+1
Step-by-step explanation:
4b2+−2b+7b+−6b+1
4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)
=4b^2−b+1
4b²−2b+7b−6b+1
solution:first combine light terms.
\( {4b}^{2} - 2b + 7b - 6b + 1\)
light terms equal:
\( - 2b + 7b - 6b\)
let's solve:
\( {4b}^{2} - 2b + 7b - 6b + 1\)
\( = { 4b}^{2} - b + 1\)
algebra 2-2
solve \(\sqrt{x}+3=-6\)
√x+3=-6
Answers
The solution of equation is x=-3
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given
The equation;√x+3=-6
Now,
√x=-6-3
√x=-9
x=-3
Therefore the answer of the given equation will be -3
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Of all the closed right circular cylindrical cans of volume 128πcm
3, find the dimensions of the can which has minimum surface area.
Answers
The can's minimum surface area should have a height of 8 cm and a radius of 4 cm.
Given:
The volume of closed right circular cylindrical cans = 128π cm³
As we know the volume of a cylinder = πr²h
By equating;
πr²h = 128π
h = 128/r²
To get the dimensions of a can with minimum surface area;
S = 2πrh + 2πr
Put h = 128/r²;
Therefore, S(r) = 256π/r + 2πr²
S'(r) = -256π/r² + 4πr
S''(r) = -(2*256π)/r³ + 4π
Now, for S(r) = 0;
r = 4cm
for S''(4) > 0 at r = 4 is minimum point.
Hence,
h = 128π/(π*4*4)
h = 8cm
Therefore, the minimum surface area of the can should have a radius of 4 cm and a height of 8 cm.
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A house was purchased in 2012 for $150,000 If the value of the home increases by 3% each year, what will the house be worth in the year 2015?
Answers
The manager of a small park randomly surveyed residents in the community and asked whether they visited the park in the past year. The table shows the results.
What is the 95% confidence interval for the difference between the percent of residents who are younger than 50 and who are 50 and older that visited the park in the past year?
Answers
The 95% confidence interval for the difference between the percent of residents who are younger than 50 and who are 50 and older that visited the park in the past year is (-0.1076, 0.1076).
To calculate the 95% confidence interval for the difference between the percent of residents who are younger than 50 and who are 50 and older that visited the park in the past year, we can use the following formula:
CI = (p1 - p2) ± z*(sqrt(p1*(1-p1)/n1 + p2*(1-p2)/n2))
where:
p1 = the sample proportion of residents younger than 50 who visited the park
p2 = the sample proportion of residents 50 and older who visited the park
n1 = the sample size of residents younger than 50
n2 = the sample size of residents 50 and older
z* = the critical value from the standard normal distribution for a 95% confidence interval, which is 1.96
From the table, we can see that 60 out of 120 residents younger than 50 visited the park in the past year, while 40 out of 80 residents 50 and older visited the park in the past year. Therefore:
p1 = 60/120 = 0.5
p2 = 40/80 = 0.5
n1 = 120
n2 = 80
Plugging these values into the formula, we get:
CI = (0.5 - 0.5) ± 1.96*(sqrt(0.5*(1-0.5)/120 + 0.5*(1-0.5)/80))
Simplifying, we get:
CI = 0 ± 0.1076
Therefore, the 95% confidence interval the visit in the park in the past year is (-0.1076, 0.1076).
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Let A =
[-9 6] and C = [0 0]
[18 -12] [0 0]
Find a non-zero 2 x 2 matrix B such that AB = C. B= __
Hint: Let B = [a b]
[c d] perform the matrix multiplication AB, and then find a, b, c, and d.
Answers
The matrix B = [1 0; 2 0] satisfies the equation AB = C.
To find the matrix B such that AB = C, we perform the matrix multiplication AB. Let B = [a b; c d]. Multiplying A and B, we have:
AB = [-9 6; 18 -12] * [a b; c d]
= [-9a + 6c -9b + 6d; 18a - 12c 18b - 12d]
Comparing this with the given matrix C = [0 0; 0 0], we get the following equations:
-9a + 6c = 0
-9b + 6d = 0
18a - 12c = 0
18b - 12d = 0
From the first equation, we can express c in terms of a as c = (9a)/6 = (3a)/2. Similarly, from the second equation, we get d = (3b)/2. Substituting these values into the third and fourth equations, we have:
18a - 12((3a)/2) = 0
18b - 12((3b)/2) = 0
Simplifying, we obtain:
18a - 18a = 0
18b - 18b = 0
These equations are satisfied for any non-zero values of a and b. Therefore, we can choose a = 1 and b = 0 (or any non-zero values for a and b), which gives us the matrix B = [1 0; 2 0]. This matrix B satisfies the equation AB = C, where A is the given matrix and C is the zero matrix.
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What is the rate of change over the interval [-1,2] for f(x)= 4x +1
Answers
Answer:
4
Step-by-step explanation:
To find the average rate of change, we have to plug in the difference between the intervals with this equation: f(b) - (fa) / x₂ - x₁
Let f(a) = f(-1) = 4(-1) + 1
f(b) = f(2) = 4(2) + 1
x₂ = 2
x₁ = -1
[4(2) + 1 - (4(-1) + 1)] / [2 - (-1)]
[8 + 1 + 4 - 1] / [3]
12 / 3 = 4
Help me answer this question pls.
Answers
Answer:
the second one. They need to be in the same order of congruency.
Step-by-step explanation:
Answer:
the answer is the second option
congruency means the same shape and size including sizes of angle and sides
are the lines y=1/2x+2 and y=-2x+13 perpendicular
Answers
Answer:
Yes
Step-by-step explanation:
They would be perpendicular
I used the site, desmos to graph them.
Please use R programming language Write out two probability questions that you would like to answer about any of the restaurants in this dataset. Calculate those probabilities using both the theoretical normal distribution as well as the empirical distribution (four probabilities in all). Which one had a closer agreement between the two methods? More Practice Now let's consider some of the other variables in the dataset. Out of all the different restaurants, which ones' distribution is the closest to normal for sodium?
Answers
To identify the restaurant with the distribution closest to normal for sodium, we can calculate the goodness-of-fit measures, such as the Anderson-Darling test or the Shapiro-Wilk test, for each restaurant's sodium distribution and select the one with the highest p-value indicating the closest agreement to normality.
To answer the probability questions and identify the restaurant with the distribution closest to normal for sodium, we need access to the dataset and perform statistical calculations using R programming language. Unfortunately, as a text-based AI, I don't have direct access to external datasets or the capability to execute code. However, I can provide you with an outline of the steps you can follow to conduct the analysis:
1. Load the dataset: Import the dataset containing information about the restaurants, including the variable of interest (sodium levels).
2. Probability questions: Formulate two probability questions related to the dataset. For example:
a) What is the probability that a randomly selected restaurant has sodium levels above a certain threshold?
b) What is the probability that a randomly selected restaurant has sodium levels within a specific range?
3. Theoretical normal distribution: Assuming that the sodium variable follows a normal distribution, calculate the probabilities using the theoretical normal distribution. You will need to estimate the mean and standard deviation from the dataset.
4. Empirical distribution: Calculate the probabilities using the empirical distribution. This involves computing the sample mean and sample standard deviation from the dataset and using these estimates to calculate the probabilities.
5. Compare the results: Compare the probabilities obtained from the theoretical normal distribution and the empirical distribution. Assess the agreement between the two methods by examining the differences in probabilities.
6. Identify closest to normal distribution: Analyze the sodium variable for each restaurant and assess which restaurant's distribution exhibits the closest resemblance to a normal distribution. This can be done by visually inspecting histograms or using statistical tests such as the Shapiro-Wilk test.
By following these steps and implementing the necessary code in R, you will be able to answer the probability questions and determine which restaurant's sodium distribution is closest to normal.
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complete the identitysin 2x - cot x
Answers
Let's complete the identity:
\(\begin{gathered} \sin 2x-\cot x=2\sin x\cos x-\frac{\cos x}{\sin x} \\ =\frac{2\sin^2x\cos x-\cos x}{\sin x} \\ =\frac{\cos x(2\sin^2x-1)}{\sin x} \\ =\frac{\cos x}{\sin x}(2\sin ^2x-1) \\ =\frac{\cos x}{\sin x}(2(1-\cos ^2x)-1) \\ =\frac{\cos x}{\sin x}(2-2\cos ^2x-1) \\ =\frac{\cos x}{\sin x}(1-2\cos ^2x) \\ =\frac{\cos x}{\sin x}(-\cos 2x) \\ =-\cot x\cos 2x \end{gathered}\)Please help me I’m begging you, ignore my answer unless I’m right. I don’t know how to do this please help
Answers
Answer:
What is the question?
Step-by-step explanation:
6(3h-4) = 18h + _________
Answers
Step-by-step explanation:
6(3h - 4) = 18h + (-24) = 18h -24
Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is
a. 2
b. 4
c. 6
d. None of the other answers is correct.
Answers
The number of possible outcomes for each game is 3 (win, lose, or tie). Since there are 2 games left, the total number of possible outcomes is 3 x 3 = 9. Therefore, none of the given answers (a, b, or c) is correct. The correct answer is d.
To determine the number of possible outcomes for your favorite football team's remaining 2 games, we'll consider each game independently. Each game can have 3 possible outcomes: win, lose, or tie. For 2 games, you can use the multiplication principle:
Number of possible outcomes = Outcomes for Game 1 × Outcomes for Game 2
So, the number of possible outcomes is:
3 (win, lose, or tie in Game 1) × 3 (win, lose, or tie in Game 2) = 9
Since 9 is not among the given options, the correct answer is:
d. None of the other answers is correct.
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Given the function h of x equals three times the square root x plus 1 end root minus 2, which statement is true about h(x)?
The function is decreasing on the interval (–3, ∞).
The function is decreasing on the interval (–∞, –1).
The function is increasing on the interval (–∞, –3).
The function is increasing on the interval (–1, ∞).
Answers
A function assigns the values. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function \(h(x)=3(\sqrt{x+1})-2\) when plotted on the graph will look as shown below. Therefore, the function is increasing on the interval (–1, ∞).
Hence, the correct option is D.
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Answer: D: The function is increasing on the interval (–1, ∞).
Step-by-step explanation:
Gary has 24 sweets. He eats 3/8 of them.
Ben has 30 sweets. He eats 2/5 of them. Who has the most sweets left?
Answers
no of sweet gave to peny is 24×3/8 = 9 sweets
rest was ate by him
so the sweet ate by him is 24-9 = 15 sweet
hope this helps you kindly mark me as brainliest and follow me
Based on the amount of sweets eaten by Gary and Ben, the person with more sweets left is Ben.
Who has more sweets left between Ben and Garry?The sweets left by Gary are:
= 24 - (24 x 3/8)
= 24 - 9
= 15 sweets
The sweet left by Ben are:
= 30 - (2/5 x 30)
= 30 - 12
= 18 sweets
In conclusion, Ben has more sweets left.
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Solve the following inequality:
Answers
We have to solve the following inequality:
If log, yé, then evaluate the expression when I = 5 Show all steps.
Y = 25
=4
Z =
Answers
Which term best describes the figure shown below
Answers
Answer:
line segment CP
Step-by-step explanation:
The term line segment CP best describes the figure shown below.
Answer:
Line segment CP
Step-by-step explanation:
The points show that it is a line segment, and you can name a line segment after it's points, thus, line segment CP
In Rhombus THRY, Angle H is 3x+51, and Angle T is 2x+44, what is the measure of angle Y 102 90 88 78
Answers
The sοlutiοn οf the given prοblem οf angles cοmes οut tο be the angle Y has a 78 degree value.
An angle meaning is what?The twο circular lines that fοrm the ends οf a skew in Cartesian cοοrdinates are divided by the tοp and bοttοm οf the wall. Twο beams cοlliding may result in a junctiοn pοint. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral shapes the mοst. A twο-dimensiοnal curve can be created by arranging twο line beams in variοus cοnfiguratiοns at their ends.
Here,
Oppοsing angles are equivalent in a rhοmbus. As a result, we have:
=> Angle H = Angle R = 3x + 51
=> Angle T = Angle Y = 2x + 44
Any quadrilateral's internal angles, including thοse in a rhοmbus, add up tο 360 degrees. Cοnsequently, we can write:
=> Angle H + Angle R + Angle T + Angle Y = 360
With the fοrmulas fοr each angle substituted, we οbtain:
=> (3x + 51) + (3x + 51) + (2x + 44) + (2x + 44) = 360
By cοndensing the left half, we οbtain:
=> 10x + 190 = 360
190 frοm bοth parts are subtracted, giving us:
=> 10x = 170
When we divide by 10, we get:
=> x = 17
Nοw we can determine the angle Y's measurement:
=> Angle Y = 2x + 44
=> Angle Y = 2(17) + 44
=> Angle Y = 34 + 44
=> Angle Y = 78
As a result, the angle Y has a 78 degree value.
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You rent 3 DVDs and 2 video games for $19. The following week, your friend rents 6 DVDs and 4 video games for $38. Which of the following statements apply?
Answers
Answer:
It is "The video game rentals cost more than the DVD rentals"