The image of vertex Z after a 90 degree counterclockwise rotation about the origin is (-34, -1). To find the coordinates of the image points for X and Y, we would need to know their coordinates as well.
How to calculate the the correct side of image points?Although the question is a little challenging to understand as worded, I'll do my best to respond.
Here is what I believe you are asking, assuming "verticals eggs" is a typo and you meant "vertex angles" and "Z bar" is a typo and you meant "Z = (-1, 34)":
Triangle XYZ has vertex angles at X and Y and vertices at X, Y, and Z. Pointed at is Vertex Z (-1, 34). What are the coordinates of the picture points for the triangle XYZ if the triangle is rotated 90 degrees anticlockwise about the origin?
We can use the following rotation matrix to rotate the origin 90 degrees anticlockwise:
R = [sin(90); cos(90); cos(90)-cos(90)]
R = [0 -1; 1 0]
We may represent the coordinates of each point in the triangle as a column vector and then multiply by the rotation matrix to apply this matrix to each point in the triangle:
[X'; Y'] = R * [X; Y]
[Z'] = R * [Z; 1]
(Notice that we make the Z coordinate a homogeneous coordinate by adding a third component of 1 to it.)
We are unable to provide the precise coordinates of the image points without knowing the X and Y coordinates. However, we can multiply matrices using the Z coordinate that is provided:
[Z'] = R * [-1; 34; 1]
[Z'] = [(-1) * 0 + 34 * (-1) + 1 * 0; (-1) * 1 + 34 * 0 + 1 * 0; (-1) * 0 + 34 * 0 + 1 * 1]
[Z'] = [-34; -1; 1]
Hence, vertex Z's image following a 90° anticlockwise rotation of the origin is (-34, -1). We would also need to know their coordinates in order to determine the coordinates of the image points for X and Y.
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Evaluate p/2– 5 when p = 14
Answer:
2
Step-by-step explanation:
p/2-5
You can use PEMDAS to help:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
So, first we have to substitute 14 for p to get:
14/2-5
Next, comes division before subtraction, so we can rewrite the equation as this:
(14/2)-5
7-5
=2
Fred scored 10 points five times in the first round of the game. He then lost 15 points in each of the second and third rounds. In the final round, he earned 40 points. What was Fred's score at the end of the game?
Answer: 60
Step-by-step explanation:
He earned 10 points 5 times
10 into 5 is 50
he lost 15 in rounds 2 AND 3
therefore 50 - 15 - 15
which is 20
the he earned 40 points in the final round
40 + 20 is 60
so fred scored 60 at the end of the game
Jamie rents a photocopier from a company that charges $20 each month plus $0.02 for each copy. Write a linear equation for the monthly charge, C dollars, in terms of the number of copies, n
The linear equation for the photocopier will be y = $20C + $0.02n.
Linear equation -In a linear equation, a first-degree polynomial is defined as the sum of a group of terms, where each term is the product of a constant and the first power of a variable. An equation with n variables is said to be linear if it has the formula a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant. If there are multiple variables, some of the variables in the equation may be linear while others may not be.
Given,
Jamie rents a photocopier from a company that charges $20 each month
$0.02 for each copy
monthly charge = C
number of copies = n
So, the linear equation will be y = $20C + $0.02n
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system developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur. T/F
True. System developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur.
When considering the initiation of a formal project, system developers need to assess the risks, costs, benefits, and constraints associated with the project. During the preliminary investigation stage, they conduct a feasibility study to determine whether the project is technically feasible, economically viable, and socially and legally acceptable. If the feasibility study shows that the project is feasible, the developers can initiate the project by defining its scope, objectives, deliverables, and requirements.
Once the project is initiated, the developers can proceed with the analysis, design, and implementation activities. The analysis phase involves gathering and documenting the requirements, analyzing the existing system, and identifying the functional and non-functional requirements of the new system.
True. System developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur. The decision on when to initiate a formal project depends on several factors, such as the complexity of the system, the available resources, and the level of certainty about the feasibility of the project.
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(a) From the 12 albums released by a musician, the recording company wishes to release9 in a boxed set. How many different boxed sets are possible?
(b) There14 are European cities that Rashid would eventually like to visit3. On his next vacation, though, he only has time to visit of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
Answer:
ejekkeifjejejrjjdjejejeiriririrj
Solve the systems of equations.
[tex]y = \frac{2}{3} x +5\\-2x + 3y = 15[/tex]
The solution for the given system of equations as required to be determined is such that; it has infinitely many solutions.
What is the solution for the given system of equations?It follows from the task content that;
y = (2/3)x + 5 and -2x + 3y = 15.
Also, by substitution, we have that;
-2x + 3 ( (2/3)x + 5 ) = 15
-2x + 2x + 15 = 15
15 = 15.
Consequently; it follows that the system of equations given has infinitely many solutions as the equations are coinciding equations and form coinciding lines when graphed.
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how to convert 1inch to cm?
One inches is equal to 2.54 cm
To convert 1 inches to cm, we can use the following formula:
1 inch = 2.54 cm
The conversion factor is 2.54
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in cm = conversion factor × The length in inches
Substitute the values in the equation
1 inches = 1 × 2.54 cm
Multiply the numbers
= 2.54 ( rounded to two decimal places )
Therefore, one inch is 2.54 cm
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Figured y’all could use some points :)
Answer:thxx
Step-by-step explanation:
write in standard from
Answer:
(D.) [tex]5x^{5} -5x^{3} +4[/tex]
Step-by-step explanation:
Adding Polynomials:
To add both of these two polynomials together, all we need to do is add like terms. All of the other options are wrong, since we do not add the exponents.
[tex]5x^{5} -5x^{3} +4[/tex]
Which equation is correct?
which equation is correct? a. tanx=1/secx b.sinx=1/cosx c.cscx=1/sinx d.cosx=1/cotx
Answer:
Step-by-step explanation:
csc and sin are inverses of one another, therefore, c is the correct statement.
1. The population of Charlotte, North Carolina, can be approximated by an exponential function. The population in Charlotte was 396,000 in 1990 and 872,000 in 2018. Create a function that finds the population of Charlotte, C in thousands t years after 1990. (1 point)
A. C(t)=872(1.029)^t
B.C(t)=396(1.029)^t
C. C(t)=872(1.202)^t
D. C(t)=396(1.045)^t
Answer:
(B) C(t) = 396(1.029)^t.
Step-by-step explanation:
We can use the formula for exponential growth to find the function that models the population of Charlotte:
C(t) = C0 * r^t
where C0 is the initial population (in thousands), r is the annual growth rate, and t is the number of years after the initial population was recorded.
We are given that the population in Charlotte was 396,000 in 1990 and 872,000 in 2018. This means that the population grew by (872,000 / 396,000)^(1/28) per year on average (since there are 28 years between 1990 and 2018).
So the annual growth rate is approximately 1.029.
Therefore, the function that finds the population of Charlotte in thousands t years after 1990 is:
C(t) = 396 * 1.029^t
In which of Tuckman's Group Development Stages are members socially cautious and overly polite? a. adjourning b. forming c. performing d. norming
The stage in Tuckman's Group Development Model in which members are socially cautious and overly polite is the Forming stage. thus option B is the answer.
Tuckman's Group Development Model is a structure for understanding the various stages that gatherings go through as they structure, create, and ultimately disband. The model incorporates four principal stages: forming, storming, norming, and performing with a potential fifth phase of dismissing. The framing stage is portrayed by individuals getting to know one another, being considerate, and attempting to lay out a feeling of direction for the gathering. They might be questionable about the gathering's objectives, jobs, and methodology. As the gathering advances through the stages, they will turn out to be more OK with one another and lay out a feeling of trust and union, prompting better execution.
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Please help me it’s math
Answer:
Step-by-step explanation:
-2-6-20
What are the operations of set on basic algebra
There have been three main categories of operation on groups in the field of number theory:
union of sets ( ∪ )intersection of sets ( ∩ ), anddifference of sets ( – )ALSOIn algebra, addition, subtraction, multiplication, and division are the four fundamental arithmetic procedures that represent algebraic operations on trigonometric functions.
Please help integrate Cos^3 x + ( tan^2 5x - Sec 2x )/7 x
Answer:
Step-by-step explanation:
A big ship drops its anchor. E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).
E=−2.4t+75
How far does the anchor drop every 5 seconds?
Answer:12
Distance for the anchor drop every 5 seconds is,
⇒ E = 63 meters
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A big ship drops its anchor.
Here, E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).
E = - 2.4t + 75
Now, Distance for the anchor drop every 5 seconds is,
Put t = 5;
E = - 2.4t + 75
E = - 2.4 × 5 + 75
E = - 12 + 75
E = 63 meters
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For the probability distribution of a discrete random variable x, the sum of the probabilities of all values of x must be:
a. In the range of zero to 1.
b. equal to zero.
c. equal to 1.
d. equal to 0.5.
For the probability distribution of a discrete random variable x, the sum of the probabilities of all values of x must be: equal to 1. The Option C is correct.
Why is sum of probabilities of all values of x equal to 1?The sum of the probabilities of all values of a discrete random variable x must be equal to 1 because, by definition, the probability distribution of a random variable represents the probabilities of all possible outcomes of an experiment, and the sum of the probabilities of all possible outcomes must be equal to 1.
In other words, the probability distribution of a discrete random variable specifies the likelihood of each possible value that the random variable can take on, and the total probability of all possible outcomes must add up to 1, since the outcome of the experiment must be one of the possible values of the random variable.
Mathematically, this can be expressed as:
∑P(x) = 1 where P(x) is the probability of the random variable x taking on a particular value. This equation ensures that the total probability of all possible outcomes is equal to 1, which is a fundamental principle of probability theory.
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Please help.
Justin initially purchased a property for $85,000. After 5 years, the property was worth $112,000. What is the average rate of change for the first 5 years? A. $2,700 per year B. $8,450 per year C. $5,400 per year D. $6,750 per year
Answer:
C. $5,400 per year.
Step-by-step explanation:
Average rate of change = ($112,000 - $85,000) / 5 = $27,000 / 5 = $5,400 per year
What is the equation of the line that is parallel to the given line and passes through the point (−2, 2) ?
A. y=1/5x+4
B. y=1/5x+12/5
C. y=−5x+4
D. y=−5x+12/5
As a result, option B is the equation of the line parallel to the specified line and passing through the point (2, 2): y = 1/5x + 12/5.
What is equation?An equation is a mathematical statement that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The two sides represent the same value, so any operation performed on one side must also be performed on the other side to maintain equality.
Here,
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. Two lines are parallel if and only if they have the same slope.
The given line has a slope of 1/5, so any line that is parallel to it must also have a slope of 1/5.
We want to find the equation of a line that is parallel to the given line and passes through the point (-2, 2). We can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line. Substituting the values we have:
y - 2 = (1/5)(x - (-2))
y - 2 = (1/5)(x + 2)
Multiplying both sides by 5 to eliminate the fraction, we get:
5(y - 2) = x + 2
5y - 10 = x + 2
x = 5y - 12
This is the equation of the line that is parallel to the given line and passes through the point (-2, 2).
However, we can also rewrite the equation in slope-intercept form if we prefer. Solving for y in terms of x, we get:
x = 5y - 12
x + 12 = 5y
(1/5)(x + 12) = y
y = (1/5)x + 12/5
So, the equation of the line that is parallel to the given line and passes through the point (-2, 2) is:
y = (1/5)x + 12/5
Therefore, the equation of the line that is parallel to the given line and passes through the point (−2, 2) is option B: y = 1/5x + 12/5.
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Does the graph represent a function?
PLS HELP!
Answer: yes
Step-by-step explanation:
None of the points intercept eachother if we make a vertical line and there are no y-values with more than one x-value.
In 2023 the college tuition at a state university was $8,000. Each year the tuition
rises by 3%. In what year will the tuition reach $10,000?
By using the concept of interest, we can calculate the year in which the tuition will reach $10,000 as 2027
Interest is the extra money you pay for borrowing money or for an investment, and it accumulates over time.
In this case, the interest rate is 3%, so the total tuition increases by 3% each year. To calculate the year in which tuition will reach $10,000, we will need to use the following formula:
Interest = (principal × rate × time) / 100.
The principal is $8,000, the rate is 3%, and the time is the number of years it takes for the tuition to reach $10,000. Thus, the equation becomes:
Interest = (8000 × 0.03 × time) / 100.
We can solve for time by multiplying both sides of the equation by 100 and dividing by 240. This gives us the following result:
Time = ($10,000 - $8,000) / (0.03 × $8,000) = 4.17 years.
Therefore, the tuition will reach $10,000 in
(2023 + 4.17) = 2027
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How to convert 7 into a decimal
The value of 7 after converted into decimals is 7.0.
To convert the integer 7 into a decimal, you simply need to place a decimal point after the 7 and add a zero to the right of the decimal point. This is because in the decimal system, each digit to the right of the decimal point represents a power of 10, starting with 10^-1 or 0.1.
Therefore, 7 can be represented as 7.0 in decimal form. Note that trailing zeros to the right of the decimal point do not change the value of the number. In other words, 7, 7.0, and 7.00 all represent the same value in decimal form.
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Figure 1 and figure 2 are right triangles. two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 5 units long What scale factor was used to produce Figure 2 from Figure 1? 3 over 5 5 over 3 3 5
The scale factor used to produce Figure 2 from Figure 1 is 5 over 3.
What is scale factor?Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.
This is because Figure 2 has legs that are 5 units long and Figure 1 has legs that are 3 units long. The ratio of the legs of Figure 2 to the legs of Figure 1 is 5/3, which is the scale factor used to produce Figure 2 from Figure 1.
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The correct answer is C, 3
write an equation in slope intercept form of the line that passes through (2,8) and (-3,6)
The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.
Given that the line passes through the point (-6,8) and has a slope of -5/3.
We are required to find the equation of the line whose description is given.
Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.
We have been given slope be -5/3.
y=mx+c--------------1
Put m=-5/3 in equation 1.
y=-5/3x+c------------2
Put (-6,8) in equation 2.
8=-5/3 *(-6)+c
8=-5*(-2)+c
8=10+c
c=-2
Use the value of c in equation 2.
y=-5/3x-2
Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.
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Bruce's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 57 single-shot espressos and 38 double-shot espressos. What percentage of the espressos sold were single-shot?
Write your answer using a percent sign (%).
Answer: 60%
Step-by-step explanation:
In order to find the percentage, we need to find the sum of the espressos ordered.
57 + 38 = 95
95 will be our denominator, and since we are trying to find the percentage of the single-shot, our numerator is going to be 57 because that is how many sold.
57 / 95
Now we can divide 57 by 95 to get the percent of single shot espressos to get an answer of 60%
I need the answer for (3-9) ÷ -2.5)
Answer: 2.4
Step-by-step explanation: just use a calculator???
Answer:
2.4
Explanation:
3. Jamie thinks the probability of spinning a number less than or equal to 3 is 3. Is this correct?
Answer:
B. Jamie is incorrect. Since spinning a number from 1-3 is certain, the probability is 1.
Step-by-step explanation:
Probability is on a scale of 0 to 1, with 0 being impossible, and 1 being certain.
As the possibility of spinning and landing on a number less than or equal to 3 is 100%, as all numbers on there are less than or equal to 3, the probability would be 1, not 3.
what is balance chemical equations calculator
A balanced chemical equation calculator is an online tool that assists in the balancing of chemical equations by automatically computing the coefficients for each reactant and product to verify that the equation obeys the rule of mass conservation.
According to the law of conservation of mass, matter cannot be generated or destroyed in a chemical process, just rearranged.
A balanced chemical equation includes the chemical formulae for the reactants and products of a chemical reaction, as well as the factors that balance the amount of atoms of each element on both sides of the equation. Balancing a chemical equation is a necessary step in addressing many sorts of chemistry issues, such as forecasting the quantity of product generated or reactant required in a reaction.
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help me please algebra 1.
20 points.
The equations are defined as follows:
A(t) = 4t + 38.B(t) = 8t + 22.The two trees will have the same height after four years.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when the graph touches/crosses the y-axis.The parameters for this problem are defined as follows:
Slope: yearly change in the height.Intercept: initial height.Hence the equations are given as follows:
A(t) = 4t + 38.B(t) = 8t + 22.The trees will have the same height when:
A(t) = B(t)
Hence:
4t + 38 = 8t + 22
4t = 16
t = 16/4
t = 4 years.
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what is 3 8 as a decimal
3/8 in a decimal, divide the denominator by the numerator to get 3/8 as a decimal 3/8 is 0.375.
We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.
3/8
3[1/2 x 1/2 x 1/2]
3[0.5 x 0.5 x 0.5]
3 x 0.125
0.375
To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.
Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.
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