The rule of the reflection of the triangle ABC to A'B'C' across the y-axis will be (x, y) to (-x, y).
What is a reflection of the point?It is the image of the point which is located in the opposite direction of a given point.
The rule of the refection will be given as,
Firstly, the rule for reflecting a point about the y-axis is;
While reflecting on the y-axis, we get the reflected points (x, y) by the coordinates (-x, y).
The standard of the impression of the triangle ABC to A'B'C' will be (x, y) to (- x, y).
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What is the slope of (2,6) and (7,21)
Answer:
m=3
Step-by-step explanation:
Answer:
15/5 or 3
Step-by-step explanation:
Slope is always the following formula:
y2 - y1 / x2 - x1
..............................................................................................
Now, replace the variables:
21 - 6 / 7 - 2
15 / 5
3
hey, this is homework that is due today❤️ feel free to help thank you ☺️ have a g❤️❤️d day☺️
Answer:
About $1.82
Step-by-step explanation:
what is the domain of f?
Answer:
x ∈ {-8, 0, 2, 4, 7}Step-by-step explanation:
The domain is the set of x-coordinates.
The domain of the function f(x) is:
x ∈ {-8, 0, 2, 4, 7}700000x800000000 what is equivalent to 6x+9+-6
Answer:
If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓
Step-by-step explanation:
6x + 3
Answer:
If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓
Step-by-step explanation:
6x + 3
The NWBC found that 67.6% of women-owned businesses provided employees health insurance. What sample size could be 90% confident that the estimated (sample) proportion is within 3 percentage points of the true population proportion?
If we take a random sample of 603 women-owned businesses, we can be 90% confident that the estimated proportion of businesses providing health insurance will be within 3 percentage points of the true population proportion.
To determine the sample size needed to estimate a population proportion with a specified margin of error, we can use the formula:
n = (\(z^2\) * p * (1-p)) /\(E^2\)
where:
n = sample size
z = z-score for the desired confidence level (1.645 for 90% confidence)
p = estimated population proportion (0.676 in this case)
E = margin of error (0.03 or 3 percentage points)
Substituting the given values, we get:
\(n = (1.645^2 * 0.676 * (1-0.676)) / 0.03^2\)
n = 602.36
Rounding up to the nearest integer, we get a required sample size of 603. Therefore, if we take a random sample of 603 women-owned businesses, we can be 90% confident that the estimated proportion of businesses providing health insurance will be within 3 percentage points of the true population proportion.
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En wants to try a new honey-glazed salmon recipe. He starts with 1
2
3
cups of honey. He uses
1
5
of it to make the glaze. How much honey does Ben have left?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
En wants to try a new honey-glazed salmon recipe. He starts with 1 2 3 cups of honey. He uses 1 5 of it to make the glaze. Ben has 2/3 cups of honey left.
In the first paragraph, the summary states the answer, which is the amount of honey Ben has left after using 1/5 of it to make the glaze.
In the second paragraph, the explanation provides the calculation to determine the remaining amount of honey. Ben starts with 1 2/3 cups of honey. To find the amount left, we need to subtract 1/5 of 1 2/3 cups from the original amount.
To simplify the calculation, we can convert the mixed number to an improper fraction. 1 2/3 is equal to (3*1 + 2)/3 = 5/3. So, Ben used (1/5) * (5/3) = 1/3 cups of honey for the glaze. Subtracting 1/3 from the original amount, Ben has 2/3 cups of honey left.
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PLS HELP I NEED AN A - 10 PTS AND BRAINLIEST FOR RIGHT ANSWER
Answer:
Well, count out how many nickels can go in $3.90. Then count out how many quarters. Make sure there are 6 more quarters than nickels, and make sure it all adds up to $3.90
Hope this helped! <3
Exercise 3
A box of granola bars contains an assortment of flavors. You randomly choose a granola bar and eat it.
Then you randomly choose another bar.
Event A: You choose a coconut almond bar first.
Event B: You choose a cranberry almond bar second.
Events A and B are
because the occurrence of event A
affect the
occurrence of event B.
Answer:
I'm sorry
Step-by-step explanation:
I don't know the answer
Find the area of the triangle.
A=. ft2
The Area of the triangle is 1 \(ft^{2}\).
What is area of obtuse triangle?
A triangle is called an obtuse angled triangle if one of its angles is bigger than the other two (>90 degrees), i.e., it is obtuse. Whatever the form of triangle, the sum of all the angles is always 180 degrees. The remaining two angles of a triangle with obtuse angles are sharp because of this. If b is the triangle's base and h is its height, the area of an obtuse angle triangle is equal to \(\frac{1}{2}\) * b * h.
Here the given obtuse triangle
Base b= 3 ft
Height h= \(\frac{2}{3}\) ft
Now using area of obtuse triangle is
A = \(\frac{1}{2}\)×b×h square unit.
=> A = \(\frac{1}{2}\) × 3×\(\frac{2}{3}\)
=> A= 1 \(ft^{2}\)
Therefore area of the obtuse triangle is 1 \(ft^{2}\).
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A computer and printer cost a total of 1152. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
The cost of the printer is x=288 and cost of computer is 3x=864
Step-by-step explanation:
Let the cost of the printer be x and cost of computer be 3x
ATQ, x+3x=1152, x=288.
The cost of the printer is x=288 and cost of computer is 3x=864
Colin invests £4300 into his bank account. He receives 4% per year compound interest. How much will Colin have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
Colin will have £4836.9152
Step-by-step explanation:
Amount after 3years=£4300(1+4/100)³
Amount=£4836.9152
Let f:N→N and g:N→N be functions for which g∘f is surjective (onto). (a) Show that g is surjective. (b) Must f be surjective? If so, prove it; if not, give an example where it is not. (c) Would your answer to the previous part change if you were told in addition that g is injective? Explain.
The correct answer is even if g is injective, f can still be either surjective or not surjective. The surjectivity of g∘f does not impose any additional constraints on the surjectivity of f.
(a) To show that g is surjective, we need to demonstrate that for every element y in the codomain of g, there exists an element x in the domain of g such that g(x) = y.
Since g∘f is surjective, for every element z in the codomain of g∘f, there exists an element n in the domain of f such that (g∘f)(n) = z.
Let's consider an arbitrary element y in the codomain of g. Since g∘f is surjective, there exists an element n in the domain of f such that (g∘f)(n) = y.
Since (g∘f)(n) = g(f(n)), we can conclude that there exists an element m = f(n) in the domain of g such that g(m) = y.
Therefore, for every element y in the codomain of g, we have shown the existence of an element m in the domain of g such that g(m) = y. This confirms that g is surjective.
(b) No, f does not have to be surjective. Here's an example where f is not surjective:
Let's define f: N → N as f(n) = n + 1. In other words, f(n) takes a natural number n and returns its successor.
The function f is not surjective because there is no natural number n for which f(n) = 1, since the successor of any natural number is always greater than 1.
(c) The answer to the previous part does not change if we are told that g is injective (one-to-one). Surjectivity and injectivity are independent properties, and the surjectivity of g∘f does not provide any information about the surjectivity of f.
In other words, even if g is injective, f can still be either surjective or not surjective. The surjectivity of g∘f does not impose any additional constraints on the surjectivity of f.
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How do we apply a primitive procedure to its arguments?
When applying a primitive procedure to its parameters in programming, the procedure to be applied and the arguments it should be applied to are normally specified using the syntax of the programming language.
Depending on the programming language being used, the precise syntax for applying a primitive procedure may differ, but generally speaking, it entails writing the name of the procedure followed by the inputs that it to be applied to, contained in parentheses.
For instance, in the Python programming language, you might use the syntax shown below to apply the primitive procedure print to the string argument "Hello, world!". The syntax would be:
print("Hello, world!")
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The diagonals of the rugby show below have the length of 14 CM and 12 CM what is the approximate length of a side of the rhombuso
The approximate length of a side of the rhombus is 10.67 cm.
A rhombus is a quadrilateral with all sides of equal length.
The diagonals of a rhombus bisect each other at right angles.
Let's label the length of one diagonal as d1 and the other diagonal as d2.
In the given rugby-shaped figure, the length of d1 is 14 cm, and the length of d2 is 12 cm.
Since the diagonals of a rhombus bisect each other at right angles, we can divide the figure into four right-angled triangles.
Using the Pythagorean theorem, we can find the length of the sides of these triangles.
In one of the triangles, the hypotenuse is d1/2 (half of the diagonal) and one of the legs is x (the length of a side of the rhombus).
Applying the Pythagorean theorem, we have \((x/2)^2 + (x/2)^2 = (d1/2)^2\).
Simplifying the equation, we get \(x^{2/4} + x^{2/4} = 14^{2/4\).
Combining like terms, we have \(2x^{2/4} = 14^{2/4\).
Further simplifying, we get \(x^2 = (14^{2/4)\) * 4/2.
\(x^2 = 14^2\).
Taking the square root of both sides, we have x = √(\(14^2\)).
Evaluating the square root, we find x ≈ 10.67 cm.
Therefore, the approximate length of a side of the rhombus is 10.67 cm.
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The height of a cylinder whose area of the base in 36 and and whose volume is 189
The height of a cylinder with a 36-square-foot base and a 189-square-foot volume is 6.
The formula for the volume of a cylinder is given by V = \(\pi\)\(r^{2}\)h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
The area of the base of the cylinder is given by A = \(\pi\)\(r^{2}\), where A is the area of the base, r is the radius of the base.
We are given that the area of the base is 36, so we can write:
\(\pi\)\(r^{2}\)= 36
Solving for r, we get:
\(r^{2}\) = 36/\(\pi\)
r = \(\sqrt{36}/\pi\)
r ≈ 3.02
We are also given that the volume of the cylinder is 189, so we can write:
V = \(\pi\)\(r^{2}\)h = 189
\(\pi 3.02^{2} h\) = 189
h = 189 / \(\pi 3.02^{2}\)
h ≈ 6
Therefore, the height of the cylinder is approximately 6 units.
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determine µx and σx \from the given parameters of the population and sample size.
µ = 84; σ = 18; n = 36
The mean (µx) and standard deviation (σx) of a sample can be determined using the given parameters of the population mean (µ), population standard deviation (σ), and sample size (n).
In this case, since we are given the population mean (µ = 84), the mean of the sample (µx) will be the same as the population mean.
µx = 84 (same as the population mean)
σx = 18 / √36 = 3 (the population standard deviation divided by the square root of the sample size)
To determine the standard deviation of the sample (σx), we divide the population standard deviation (σ = 18) by the square root of the sample size (n = 36). This is based on the principle that the standard deviation of the sample is expected to be smaller than the standard deviation of the population, and it decreases as the sample size increases.
Therefore, in this scenario, the mean of the sample (µx) is 84, and the standard deviation of the sample (σx) is 3. These values represent the central tendency and variability of the sample data.
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if the distance to a star was suddenly cut in half, how many times brighter would the star appear?
If the distance to a star was suddenly cut in half, it would appear four times brighter.
The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.
The relationship between brightness and distance can be expressed as follows:
B = k / d^2
where B is the brightness, k is a constant of proportionality, and d is the distance.
If the distance to the star is halved, it can be expressed as:
d' = d / 2
Plugging this into the equation for brightness, we get:
B' = k / (d / 2)^2
Expanding this and simplifying, we get:
B' = 4 * k / d^2
Since k is a constant, it cancels out and we are left with:
B' = 4 * B
This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.
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Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
Let:
senior citizen ticket price = astudent ticket price = bEquations formed :
9a + 10b = 1132a + 10b = 64Subtract : Equation 1 - Equation 2
9a + 10b - 2a - 10b = 113 - 647a = 49a = 7Finding b
2(7) + 10b = 6410b = 50b = 5Solution
Price of senior citizen ticket = $7Price of student ticket = $5Answer:
Senior tickets would be 7 dollars
and
Student ticket prices would be 5 dollars
Step-by-step explanation:
The function g(x) is a transformation of the parent function f(x). Decide how
f(x) was transformed to make g(x).
f(x)
g(x)
x
-2
-1
2
لیا
у
619
9
-13
9
27
81
-2
-1
2
3
4
9
3
110
27
81
OA. Horizontal or vertical stretch
B. Horizontal or vertical shift
C. Horizontal or vertical reflection
D. Reflection across the line y=x
f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
Given that the function g(x) is a transformation of the parent function f(x).
To Decide how f(x) was transformed to make g(x).
The reflection of the point (x,y) across the line y = 1/2 x is the point (y, x).
By the given tables we can see that;
g(x) = 1/2 f (x)
Therefore, f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.
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Find the indicated probability. Round to three decimal places. A car insurance company has determined that 6% of all drivers were involved in a car accident last year. Among the 11 drivers living on one particular street, 3 were involved in a car accident last year. If 11 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O 0.531 0.978 O 0.02 0.025
The probability of randomly selecting 3 or more drivers out of 11 on a particular street who were involved in a car accident last year is approximately 0.025.
In a binomial distribution, the probability of success (being involved in a car accident) is denoted by p, and the number of trials (drivers selected) is denoted by n. In this case, p = 0.06 and n = 11.
To find the probability of getting 3 or more drivers who were involved in a car accident, we need to calculate the probabilities for each possible outcome (3, 4, 5, ..., 11) and sum them up.
Using the binomial probability formula, the probability of exactly x successes out of n trials is given by P(X = x) = C(n, x) * p^x * (1-p)^(n-x), where C(n, x) represents the binomial coefficient.
Calculating the probabilities for x = 3, 4, 5, ..., 11 and summing them up, we find that the probability of getting 3 or more drivers involved in a car accident is approximately 0.978, rounded to three decimal places.
Therefore, the correct answer is 0.978.
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Someone please answer its due by midnight
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2\(x^{3}\) - 7\(x^{2}\) + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4\(x^{3} y\) + 2xy + 5x + 7.
I hope this helps :)
My question is in the picture, answer it I’ll give you BRAINLIEST and your getting rewarded 50 POINTS.
Answer:
y-187.50= 1.50(x-125)
this is in point slope, but in slope intercept it would be y=1.50x+0
Step-by-step explanation:
Answer:
\(y-187.50=1.50(x-125)\)
Step-by-step explanation:
Slope = $1.50
\(x=125\)
\(y=$187.50\)
Find the measure of
Answer:
50 degrees
Step-by-step explanation:
Line CDF is 180 degrees
76 and 54 and some part of the 180 degrees
1. add 76+54 = 130
2. subtract 180-130 = 50
For what value of x would these two equations have the same value? y = 45 + 20x y = 30 + 26x
Answer:
x=2.5 For both equations to be equal.
Step-by-step explanation:
45+20x=30+26x
Subtract 45 from each sides.
20x=-15+26x
Subtract 26x
-6x=-15
x=2.5
Check:
45+20(2.5)=30+26(2.5)
45+50=30+65
95=95 Correct!
pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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Which description can be written as the expression StartFraction 8 Over 21 n EndFraction?
Answer: It is the quotient of 21 times and number and 8.
Answer:
The answer is "A"
Step-by-step explanation:
please make me b r a i n l i e s t thx
Find the HCF of 48 and 25
Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
3+3-5^2
There was a person who wanted frisk or chara with a buzz cut or pixi cut so here you go ^^
Answer:
-19
Step-by-step explanation:
\( 3 + 3 - {5}^{2} \)
\(3 + 3 - 25\)
\( = - 19\)
Graph triangle DEF with vertices D(-5,2), E(1,3), and
F(-4,-3). Then graph the image of the triangle after it
is translated 4 units right and 3 units down.
What are the vertices of triangle D'E'F?
Answer:
i think
E'(5,0)
D'(-1,-1)
F'(0,6)