Does someone mind helping me with this problem? Thank you!
Answer:3y +=7
=>3y-7-x
=>y=(7-x)/3 Step-by-step explanation:Solve for 'y' means, solve the equation to get the value of y and in terms of ,x means value of y not necessarily in pure constant form,but in the form of x.
What is the y- coordinate for the solution to the system of equations? {8x−4y=−32, 2x+2y=4
The y- coordinate for the solution to the system of equations is 4
How to determine the y-coordinateFrom the question, we have the following parameters that can be used in our computation:
8x−4y=−32,
2x+2y=4
Multiply the second equation by 4
So, we have the following representation
8x − 4y = −32
8x + 8y = 16
Subtract the equations
So, we have the following representation
12y = 48
Divide by 12
y = 4
Hence, the solution is y = 4
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The y-coordinate for the solution to the system of equations is equal to 4.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.
By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant II and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-coordinate (y-axis), which is given by this ordered pair (-2, 4).
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3c^2 - 20c + 12 factorise by splitting the middle
Answer:
(3c - 2)(c - 6)
Step-by-step explanation:
Quadratic Formula:
ax^2 + bx + c
a = 3 and c = 12
a * c --> 3 * 12 = 36
b --> -20
Two numbers that multiply to get 36 and added together get -20 are -18 and -2.
-18(-2) = 36
-18 + (-2) = -20
[tex]\frac{-18}{3c} = \frac{-6}{c}[/tex], [tex]\frac{-2}{3c}[/tex]
(c - 6)(3c - 2) = 3c^2 - 20c + 12
please help me solve this
Answer:
1) 108 2) 72 3) 11
Step-by-step explanation:
1) since the angle of PNM is the same as PLM, then we can simply add 42 and 66 to get 108 degrees
2)since the total angle in parallelogram is 360, we can take away the two angles we do know. Those are PLM and PNM which are 108 each.
360-108-108=144
with the last two corners having the same angle, the remaining degrees are distributed evenly giving us 144/2 = 72
3)since the length of LM and PN are the same then we get the equation
2d = 22 which gives us d = 11
Can someone help me with this please
The sides of the rectangle are
1. (x - 1)2. (x + 6)3. (x - 5)4. (x + 1)the codes are CFID
How to find the unknow part of the rectangleThe unknown part of the rectangle is solved using division of polynomial and the check is completed by multiplication of the polynomial involved
checking for the correct answers
1. 2(x + 5)(x - 1) = (2x + 10)(x - 1)
2x² - 2x + 10x - 10
2x² + 8x - 10
2. 3(x - 1)(x + 6) = (3x - 3)(x + 6)
3x² + 18x - 3x - 18
3x² + 15x - 18
3. 2(x + 1)(x - 5) = (2x + 2)(x -5)
2x² - 10x + 2x - 10
2x² - 8x - 10
4. 5(x - 1)(x + 1) = (5x -5)(x + 1)
5x² + 5x - 5x - 5
5x² - 5
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What value represents the number of ways in which the expected classes are free to vary in the chi‑square goodness‑of‑fit test?
The value that represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test is called the degrees of freedom (df).
It is equal to the number of categories minus one. The degrees of freedom provide a measure of the amount of information available in the sample to estimate the parameters of the distribution.
In a goodness-of-fit test, the degrees of freedom are calculated as the number of categories minus one, which represents the number of ways in which the expected classes are free to vary.
For example, if you are conducting a chi-square goodness-of-fit test to compare the distribution of a categorical variable with expected frequencies, you would have one degree of freedom for each category or class, with the exception of the last category.
The last category's frequency is determined by subtracting the sum of the observed frequencies for all other categories from the total sample size. This means that the last category is not free to vary independently, so it is not counted in the degrees of freedom calculation.
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Solve the equation AB=BCAB=BC for AA, assuming that A,BA,B and CC are square matrices and BB is invertible.
The equation AB=BC for [tex]A=BCB^{-1}[/tex].
The solution of AB = BC for A, assuming that A,B and C are square matrices and B is invertible is
We have to solve the equation
AB = BC given that these all are square matrices and B is invertible.
Write the required Equation:
AB = BCMultiply both sides by inverse of B
The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.
Since the outcome of multiplying a matrix by an identity matrix is always the same original non-identity (non-unit) matrix, as was previously stated, the identity matrix is also known as a "unit matrix."⇒[tex]ABB^{-1} =BCB^{-1}[/tex]
⇒[tex]AI=BCB^{-1}[/tex]
⇒[tex]A=BCB^{-1}[/tex]
Therefore, the solution of AB = BC is [tex]A=BCB^{-1}[/tex].
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Writing equations of lines parallel and perpendicular to a given line through a point
Consider the line =−4x-9y=2.
Find the equation of the line that is perpendicular to this line and passes through the point (5 ,−1).
Find the equation of the line that is parallel to this line and passes through the point (5,−1).
The equation of the line that is perpendicular to this line and passes through the point (5, −1) is y = (9/4)x - (49/4) and the equation of the line that is parallel to this line and passes through the point (5,−1) is y = (-4/9)x + (11/9).
An equation of a line is provided: -4x - 9y = 2
-9y = 4x + 2
y = (-4/9)x - 2/9
The slope-intercept form of the line is y = mx + c
So, the Slope of the line is -4/9
The slope of the perpendicular line is -1/(-4/9) = 9/4
Equation of line with slope 9/4 and containing the point (5, -1):
y - (-1) = (9/4)(x - 5)
y = (9/4)x - (49/4)
Parallel lines have the same slope, so the equation of the line with slope -4/9 and which contains the point (5, -1) is:
y - (-1) = (-4/9)(x - 5)
y = (-4/9)x + (11/9)
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Which statement is true?
The true statement is that the y intercept of function A is less than the y intercept of function B.
What is y Intercept?y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.
Here we have two functions.
Function A is given in the graph and function B is given in the equation form.
From the graph, the y intercept of function A is the y coordinate of the point touching the Y axis.
Line touches the Y axis at the point (0, -3).
So y intercept of function A = -3.
The equation of function B is the slope intercept form.
In the slope intercept form, y = mx + c, c is the y intercept.
From the equation y = 1/2 x + 4, 4 is the y intercept.
So 4 > -3.
Hence the y intercept of B is greater than that of A.
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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
Option 2 Is Correct
Step-by-step explanation:
The following statements are true about the function and its graph:
The graph of the function is a parabola.
The graph contains the point (0, 0).
The graph does not contain the point (20, -8).
Option 1 is true because the function is a quadratic function, and all quadratic functions have a parabolic graph.
Option 2 is true because the y-intercept of the function is (0,0).
Option 3 is false because the function opens upwards
What is the value of 6/3 x 2 3
Answer: 16
Step-by-step explanation:
6 ÷ 3 = 2
[tex]2^{3}[/tex] = 2 x 2 x 2
2 x 2 x 2 = 8
2 x 8 = 16
In a town the bearing of the swimming pool from the bank is 138 degrees. What is the bearing of the bank from the swimming pool?
The bearing of the bank from the swimming pool is 42 degrees south of west.
What is temperature ?
Temperature is a measure of how hot or cold something is. More specifically, it is a measure of the average kinetic energy of the particles that make up a substance. When the particles in a substance move faster, their kinetic energy increases, and the temperature of the substance goes up.
Temperature is usually measured in degrees Celsius (°C) or degrees Fahrenheit (°F), although in scientific contexts, the International System of Units (SI) unit of temperature is the kelvin (K). The Celsius scale sets the freezing point of water at 0°C and the boiling point at 100°C, while the Fahrenheit scale sets the freezing point of water at 32°F and the boiling point at 212°F. The kelvin scale sets the zero point at absolute zero (-273.15°C or -459.67°F), the theoretical temperature at which all molecular motion ceases.
According to given condition:
The bearing of the swimming pool from the bank is 138 degrees.
The bearing is the angle measured clockwise from the north direction.
Therefore, to find the bearing of the bank from the swimming pool, we need to add 180 degrees to the given bearing of 138 degrees and then subtract 360 degrees (a full circle) to get the bearing within the range of 0 to 360 degrees.
So,
Bearing of bank from swimming pool = (138 + 180 - 360) degrees = -42 degrees
Therefore, the bearing of the bank from the swimming pool is 42 degrees south of west.
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
25%
Step-by-step explanation:
x + 0.25x = y
y - 0.25x = x
If the size of a circle increases by 25% and then decreases back down to it's original size it's going to be the same percentage 25%.
8)
Determine the measure
of angle 8.
G.8.B
Answer:
140 ° , because it is vertically opp to angle 4 and angle 4 is corresponding 8 .
Which of the following inequalities would have solutions of -4, 0, 2, 3?
Mark all that apply.
Answer:
Step-by-step explanation:
n
Question 13
Peng Peng has $4 in quarters and dimes. She has 34 coins. How many quarters and dimes does Peng Peng have?
Part A
Write a system of equations that represents the situation.
0.25x+
+ y =
Part B
Solve the system of equations. Express the coordinates as decimals if necessary.
Step-by-step explanation:
x = number of quarters
y = number of dimes
x + y = 34
therefore, we can say right away
y = 34 - x
0.25x + 0.1y = 4
because a quarter is worth $0.25, and a dime is worth $0.10.
now we are using the first equation in the second :
0.25x + 0.1(34 - x) = 4
0.25x + 3.4 - 0.1x = 4
0.15x + 3.4 = 4
0.15x = 0.6
x = 0.6/0.15 = 4
y = 34 - x = 34 - 4 = 30
the solution is therefore (4, 30).
she has 4 quarters and 30 dimes.
Peng has 4 quarters and 30 dimes.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, Peng has $4 in quarters and dimes. She has 34 coins.
we need to find the number of quarters and dimes, does Peng have,
Let x = number of quarters and y = number of dimes
Therefore, establishing the equations :-
x + y = 34
y = 34 - x...(i)
Since, a quarter is worth $0.25, and a dime is worth $0.10.
Therefore,
0.25x + 0.1y = 4.....(ii)
Therefore,
0.25x + 0.1(34 - x) = 4
0.25x + 3.4 - 0.1x = 4
0.15x + 3.4 = 4
0.15x = 0.6
x = 0.6/0.15
x = 4
Put x = 4 in the eq(i)
y = 34 - x = 34 - 4 = 30
y = 30
Hence, she has 4 quarters and 30 dimes.
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give example discrete variable
Discrete variables are a subset of variables that have a limited range of values. A variable that counts how many kids a family has, for instance, can only be a whole number, such as 0, 1, 2, etc.
Discrete variables, like integers or categories, are a form of variable that can only take specified, distinct values. For instance, a discrete variable is the number of siblings a person has because it can only be 0, 1, 2, 3, etc.Discrete variables are a subset of variables that have a limited range of values. A continuous variable, on the other hand, can accept any value within a range.Whole numbers like 0, 1, 2, 3, and so forth are frequently used as discrete variables. The number of kids in a household, the number of products in a shopping cart, or the number of individuals in a room are all examples of discrete variables.
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Out of the numbers 1,5,5,6,8 which is the mad
The mean absolute deviation from the given data set is 1.6
What is a Mean Absolute Deviation?The mean absolute deviation measures how far the data points are on average from a center point. Mean, median, mode, or any other random figure can serve as the center point.
The mean is frequently used as the center point, In this situation, The method for computing mean absolute deviation (MAD) is helpful, which represents the average of the absolute departure of the data points from the mean of the data set.
Mean = (1+5+5+6+8)/5
Mean = 25/5
Mean = 5
The distance of each value from the mean is as follows:
Value distance from the mean 5
1 4
5 0
5 0
6 1
8 3
MAD = (4 + 0 + 0 + 1 + 3)/5
MAD = 8/5
MAD = 1.6
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PLEASE HELP!!!! Which of the following statements are equivalent to the statement the price decreased by 1/2%. Choose all the correct answers
A) The price doubled
B) The price is 150% of the price before
C) The price was reduced by a quarter of what it was before
D) The price is half of what it was before
E) The price is now 1.5 times greater than what it was before
F) The price now is 66 2/3% of what it was before
G) The price now is 200% of what it was before
H) The price is 75% of what it was before
The equivalent to the statement the price decreased by 1/2% will be 0.995x. Thus, all options are incorrect.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Let the price be 'x'. Then the equivalent to the statement the price decreased by 1/2% is given as,
⇒ (1 - 0.5 / 100) x
⇒ 0.995x
The equivalent to the statement the price decreased by 1/2% will be 0.995x. Thus, all options are incorrect.
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Currently, 2 out of 195
countries celebrate
Groundhog Day. How many
celebrations
could we expect
if there were 950 countries?
If there were 950 countries, we could expect celebrations from 10 countries.
What was the Groundhog Day all about?Groundhog Day is a popular North American tradition celebrated on February 2 in the United States and Canada. It is based on the Pennsylvania Dutch superstition that if a groundhog emerges from its burrows on this day and sees its shadow due to clear weather, it will retreat to its burrow and winter will last six weeks longer.
In our calculation, as 2 out of 195 celebrate the day, we need know how many celebrations we could expect if there were 950 countries.
950 / 195 = 4.87179487179 = 4.87. We will multiply 4.87 by 2 country giving us 9.74, approximately 10 countries.
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Julian and Nikhil are making paper cones to hold popcorn
to hand out at parent math night. They want the cones to
hold 28.26 (about 9) cubic inches of popcorn. What are
two different possible values for height h and radius r for
the cones?
The possible values for radius r and height h of the cone will be 2 and 2.1485 respectively.
What exactly is a cone?
A cone is a shape formed by connecting a single point known as the apex or vertex to all of the points of a circular base using a series of line segments (which does not contain the apex). The distance from the vertex to the base is the cone's height. The circular base's radius has been measured. The slant height is the length of the cone from the peak to any point along the base's perimeter. The height, radius of base, and slant height of the cone in the figure define it.
Volume of cone=1/3πr²h, where r=base radius and h=cone height
Curved surface area=πrL, where L is the slant height.
Now,
Given Volume of cone to hold popcorn=9 inch³
i.e. 1/3πr²h=9
r²h=9*3*7/22
r²h=8.5943
let r=2
then h=8.5943/4
h=2.1485
Hence,
The possible values for radius r and height h of the cone will be 2 and 2.1485 respectively.
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A student noticed different gas prices as she drove around town. Find the first quartile. Round your answer to the nearest cent. $3.31 $3.28 $3.42 $3.35 $3.31 $3.26 $3.38 $3.32 $3.34
Answer: $3.32
Step-by-step explanation:
First arrange the given discrete values in ascending order.
$3.26, $3.28, $3.31, $3.31, $3.32, $3.34,$3.35, $3.38, $3.42
we will use the formula 1/2 x (n +1), where n is total number of discrete values which in this case is 9.
This formula doesn't give the answer of the second quartile, it tells which nth term in the arranged set will be the second quartile.
1/2 (9+1) = 5.
Now we will choose the 5th term of the ascending order set.
Second quartile is same as the median, that means you need the mid value.
How to include fixed effects in regression Stata?
Answer:
Step-by-step explanation:
In Stata, you can include fixed effects in a regression by using the "xtreg" command with the "fe" option. The "xtreg" command is used to fit a linear regression model with panel data, and the "fe" option tells Stata to include fixed effects in the model.
Here's an example of how to run a fixed effects regression in Stata:
xtreg y x1 x2 x3, fe
In this example, "y" is the dependent variable, and "x1", "x2", and "x3" are the independent variables. The "fe" option tells Stata to include fixed effects for each individual in the panel data.
Note that the fixed effects in this example are time-invariant, meaning that they are constant for each individual over time. If you have time-varying fixed effects, you can include them in the regression using the "xtreg" command with the "vce(cluster id)" option, where "id" is the variable indicating the individual in the panel data.
The ratio of Sarah's age to her father's age now is 1:3. In 6 years' time, the ratio becomes 2:5. What is Sarah's age now?
Sarah's age now is 18.
What is meant by Ratio?Ratio is defined as the relationship between two quantities for which it tells how much one quantity is contained in the other.
Normally, the ratio of two quantities a and b is denoted as a : b.
Given in the question that,
The ratio of Sarah's age to her father's age now is 1:3.
Suppose that x is the age of Sarah now.
Then, from the information given, father's age now = 3x
After 6 years,
Sarah's age = x + 6
Father's age = 3x + 6.
Given that, In 6 years' time, the ratio becomes 2:5.
So, numerically,
(x + 6) / (3x + 6) = 2 / 5
Doing the cross multiplication, we get,
5 (x + 6) = 2 (3x + 6)
5x + 30 = 6x + 12
5x - 6x = 12 - 30
-x = -18 or x = 18
Hence now, age of Sarah is x = 18.
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Which graph has a slope of 4/5?
Answer:
B
Step-by-step explanation:
Rise over run should be 4 rise and 5 to the side run
Answer:
Step-by-step explanation:
The last one (placed below)
Just take two random points (x1,y1) and (x2,y2) from the graph and calculate the slope according to the expression:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
The graph placed below, passes through the points (5,4) and (0,0). So if we replace these coordinates within the formula:
[tex]m=\frac{5-0}{4-0}=\frac{5}{4}[/tex]
What does x equal pls my grade is depending on this
Brandon is a California CPA who is renewing his license in active status. During the two years prior to his renewal date, Brandon's highest level of service provided was a compilation engagement. How many hours, out of the total of 80 continuing education hours required, must Brandon complete pursuant to the Accounting and Auditing Education Requirement? - 8 hours, -16 hours, -24 hours, -40 hours
According to the California Board of Accountancy's requirements for CPA license renewal, if the highest level of service provided during the two years prior to the renewal date was a compilation engagement, the CPA must complete 24 hours of continuing education in accounting and auditing subjects.
Here is the breakdown of the requirements for the Accounting and Auditing Education Requirement:
- If the highest level of service provided was an audit, review, or attestation engagement, the CPA must complete 40 hours of continuing education in accounting and auditing subjects.
- If the highest level of service provided was a compilation engagement, the CPA must complete 24 hours of continuing education in accounting and auditing subjects.
- If the highest level of service provided was preparation of financial statements, the CPA must complete 8 hours of continuing education in accounting and auditing subjects.
- If the CPA did not provide any of the above services, they are not required to complete any continuing education in accounting and auditing subjects.
In Brandon's case, since his highest level of service provided was a compilation engagement, he must complete 24 hours of continuing education in accounting and auditing subjects out of the total of 80 continuing education hours required.
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Which equations support the fact that rational numbers are closed under addition?
Select each correct answer.
A. √2+√2=2√2
B. √6+(-√6)=0
C. √9+√9=2√9
D. 1/3+1/3=2/3
Answer:
Step-by-step explanation:
None of the given equations support the fact that rational numbers are closed under addition, because they all involve irrational numbers or fractions, which are not necessarily rational.
Option (A) involves the irrational number √2.
Option (B) involves adding the irrational number √6 with its negative, which results in a rational number, but it doesn't prove that all additions of rational numbers are also rational.
Option (C) involves the perfect square 9, but the square root of a non-square integer is generally an irrational number.
Option (D) involves the addition of two rational numbers, which is a valid example of the closure property of rational numbers under addition.
Therefore, the correct answer is (D) 1/3+1/3=2/3.
Complete the table.
f(x) = -5|x - 9|
X |f(x)
0 |
2 |
4 |
6 |
The table of values is
X |f(x)
0 | -45
2 | -35
4 | -25
6 | -15
Hwo to complete the table of valuesFrom the question, we have the following parameters that can be used in our computation:
f(x) = -5|x - 9|
We have the x values to be
x = 0, 2 4 and 6
Substitute the known values in the above equation, so, we have the following representation
f(0) = -5|0 - 9| = -45
f(2) = -5|2 - 9| = -35
f(4) = -5|4 - 9| = -25
f(6) = -5|6 - 9| = -15
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Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.
How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?
Enter your answer in the box as a fraction in simplest form.
ounces per square meter
Answer: 0.20689655
Step-by-step explanation: because you take 12 divided by 58