If a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B', then the current coordinates of B' are (3, -2).
As per the question statement, a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B'.
We are required to calculate the coordinates of B'.
To solve this question, we need to know what Translation (a, b) to (x, y) and (-a, -b) to (x, y) means. Translation (a, b) to (x, y) means the abscissa "x" is to be shifted to the right by "a" units while the ordinate "y" is to be shifted to the right by "b" units, i.e., after translation, the new coordinates become [(a + x), (b + x)]. On the other hand, Translation (-a, -b) to (x, y) means the abscissa "x" is to be shifted to the left by "a" units while the ordinate "y" is to be shifted to the left by "b" units, i.e., after translation, the new coordinates become [(a - x), (b - x)].
Here, as per the above mentioned concept, a translation of T (2, -7) if applied to the point B (1, 5), the new point B' will be at \([(1+2), (5+(-7)]=[3, (-2)]\).
Translation: In Coordinate Geometry, a translation is a repositioning of a point or a figure from one location to another location without changing its size, shape or orientation.Coordinates: The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional coordinate plane by using the horizontal and vertical distances from the two reference axesTo learn more about Translation, click on the link below.
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Answer: D (3,-12)
Step-by-step explanation:
double the sum of a number w and 3
Answer:
2(w+3)
Step-by-step explanation:
2(w+3) or 2w+6
The moon is about 382,500km away from Earth. This distance actually varies by about 22,500km. What are the maximum and minimum distances to the moon?
Answer:
The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km
Step-by-step explanation:
The maximum distance is found adding the variation.
The minimum distance is found subtracting the variation.
We have that:
Distance: 382,500 km
Variation: 22,500 km
So
Maximum distance: 382500 + 22500 = 405,000 km
Minimum distance: 382500 - 22500 = 360,000 km
The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km
. Mira bought $300 of Freerange Wireless stock in
January of 1998. The value of the stock is expected
to increase by 7.5% per year. Use a graph to predict
the year the value of Mira's stock will reach $650.
the rules for multiplying rational numbers are different from the rules for multiplying integers true or false
Answer:
False
Step-by-step explanation:
Integers are whole positive numbers, so it is the same rule as rational numbers.
I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
it is True. YeAh YeAh!
How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31
To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.
We are given the following measures:
\(\sf\:m\angle AB = 56 \\\)
\(\sf\:m\angle BC = 59 \\\)
\(\sf\:m\angle CD = 63 \\\)
\(\sf\:m\angle DE = 63 \\\)
\(\sf\:m\angle EF = 31 \\\)
To find the measure of the geometry-big circle, we add up these measures:
\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)
Substituting the given values:
\(\sf\:56 + 59 + 63 + 63 + 31 \\\)
Simplifying the expression:
\(\sf\:272 \\\)
Therefore, the measure of the geometry-big circle is 272.
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Sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,−4) is on the terminal side of θ. Then find the values of the six trigonometric functions for the angle. Rationalize denominators if applicable. Do not use a calculator.
The values of the six trigonometric functions for the angle θ in the standard position, are: sin(θ) = -1, cos(θ) = 1, tan(θ) = -1, csc(θ) = -1, sec(θ) = 1, and cot(θ) = -1.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
Since the y-coordinate is negative, we know that the terminal side of the angle θ will be in the fourth quadrant.
Now we can use the coordinates of the point (x, 0) and the origin (0, 0) to find the values of the six trigonometric functions for the angle θ:
sin(θ) = opposite/hypotenuse = (-4)/4 = -1
cos(θ) = adjacent/hypotenuse = 4/4 = 1
tan(θ) = opposite/adjacent = (-4)/4 = -1
csc(θ) = 1/sin(θ) = -1/1 = -1
sec(θ) = 1/cos(θ) = 1/1 = 1
cot(θ) = 1/tan(θ) = 1/(-1) = -1
Therefore, the values of the six trigonometric functions for the angle θ in standard position with the least possible positive measure, and the point (0, -4) on the terminal side of θ, are:
sin(θ) = -1
cos(θ) = 1
tan(θ) = -1
csc(θ) = -1
sec(θ) = 1
cot(θ) = -1
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A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing
Answer:
a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) 0.0035 = 0.35% probability of passing.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
10 multiple choice questions
This means that \(n = 10\)
4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.
This means that \(p = \frac{1}{4} = 0.25\)
a) Probability of marking exactly 3 incorrect answers.
3 incorrectly = 7 correctly, so this is P(X = 7).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031\)
0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) Probability of passing
At least 7 correct, so
\(P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031\)
\(P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004\)
\(P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0\)
\(P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0\)
\(P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035\)
0.0035 = 0.35% probability of passing.
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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The ages of 30 students in a class are given below. Construct a frequency table for grouped data using 6 classes. For convenience, the data has been ordered from smallest to largest. 15, 17, 18, 19, 25, 25, 27, 28, 29, 30, 30, 32, 33, 36, 38, 45, 45, 48, 49, 50, 52, 53, 55, 56, 57, 58, 59, 59, 63, 68 All responses should be whole numbers. Provide your answer below:
Here is the frequency table:
Class Frequency
15 - 24 4
25 - 34 9
35 - 44 2
45 - 54 7
55 - 64 7
65 - 74 1
What is the frequency table?A frequency table is used to track the frequency of a data set. The data ranges from 15 to 68, if the classes are to be 6, then the class interval would have to be 9.
Class Frequency
15 - 24 4
25 - 34 9
35 - 44 2
45 - 54 7
55 - 64 7
65 - 74 1
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I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy
Answer:
2.5
Step-by-step explanation:
We Know
You buy 4 5/8 blue fabric and 2 1/8 green fabric .
4 5/8 = 37/8 = 4.625 blue fabric
2 1/8 = 17/8 = 2.125 green fabric
How much blue than green did you buy?
We Take
4.625 - 2.125 = 2.5
So, you buy 2.5 blue more than green.
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How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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Use the given information to find x
Answer: 8.4
Step-by-step explanation:
Use a proportion
20/7=24/x is what I used
MAKES
Find the volume of the circular cylinder.
3. Circular Cylinder
5 mm
2 mm
The volume of the circular cylinder be,
⇒ 62.8 mm³
Given that,
For a circular cylinder,
Height = 5 mm
Radius = 2 mm
Then we have to find the volume of this circular cylinder
Since we know that,
The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.
This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.
volume of circular cylinder = πr²h
Here we have,
r = 2 mm
h = 5 mm
Now put the values into the formula we get,
Volume = π x 2² x 5
= 62.8 mm³
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If 2 inches is about 5.08 centimeters, about how many inches is 32 centimeters? Round your answer to the nearest hundredth if necessary.
Answer:
12.60 inches
Step-by-step explanation:
Divide 5.08 by 2 to get 2.54. This means that for every 1 inch, there is 2.54 centimeter. Using this rule, we divide 32 by 2.54 to get 12.598 inches, or 12.60 if we round to the nearest hundredth.
Three more than the product of six and a number, increased by nine in the simplest form
Answer: 12+6x
Step-by-step explanation:
three more means addition +3
the product of 6 and a number means multiplying 6 by a variable 6x
increased by 9 means addition +9
put it together and we have 3+6x+9
now we combine like terms
3+9+6x
12+6x
PLZZ ANSWER THE QUESTION
Answer:
The first one
Step-by-step explanation:
In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. So going in that order gives you a linear function.
A linear function increases at a constant rate of change, which means that for every 1 unit that x changes, y always changes at a same rate.
For example, if x moves 1, y moves 5 constantly. Every time x moves 1, y moves 5.
In this case every time x in the first table increases by 1, y increases by 6, so that is a linear function.
The second table is not linear because when x increases by 1, y decreases by 1. But the second time, when x increases by 1, y decreases by 2! -2 is not equal to -1.
The third and fourth tables are not linear for the same reasons.
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.
please answer asap I really need it til 2.00 p.m, A sporting good store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making theone-day sale price of the ski set $321.
Find the original selling price of the ski set ?
Answer:
the ski original price is 641
Step-by-step explanation:
Answer:
Step-by-step explanation:
you cant find the answer without knowing what discount was given sorry
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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In each of the following figure, O is the center of the circle.
Calculate the value of x.
0
136⁰
In the given diagram, using one of the circle theorems, the value of x is 68°
Circle Geometry: Calculating the value of xFrom the question, we are to calculate the value of x in the given diagram.
The diagram shows a circle with O. The angle subtended at the center is 136°. We are to determine the value of the unknown angle x.
From one of circle theorems, we have that
The angle subtended by arc at the center of a circle is twice the angle at the circumference.
Therefore,
We can write that
136° = 2x
Solve for x in the above equation
136° = 2x
Divide both sides of the equation by 2
136° / 2 = 2x / 2
68° = x
Hence,
x = 68°
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Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,
HURRY PLEASE
Answer:
B
Step-by-step explanation:
Option B best displays/showcases the equation of 6x = 4x +18
After the point Y (-4, -9) is translated along the vector <-6, 2>, the image will be located at point
The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).
How to find the coordinates of the image of a given point
In this problem we have the coordinates of a original point and a translation vector, the coordinates of the image is obtained by using the following formula:
Y'(x, y) = Y(x, y) + T(x, y)
Where:
Y(x, y) - Coordinates of the original pointY'(x, y) - Coordinates of the resulting pointT(x, y) - Translation vectorTo learn more on Y(x, y) = (- 4, - 9) and T(x, y) = (- 6, 2), then the coordinates of the resulting point are:
Y'(x, y) = (- 4, - 9) + (- 6, 2)
Y'(x, y) = (- 10, - 7)
The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).
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what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
HELP- find the volume of the prism
Answer:
The answer is
1728″Step-by-step explanation:
From the above question the prism in the picture is a cube since all it's sides are equal
So the formula for finding the volume of a cube is
V = l³
where l is the length of one side
From the question l = 12″
Volume of the prism = 12³
= 1728″
Hope this helps you
Question
Is the statement below true or false?
A sampling error is the situation in which not all members of the population are equally likely to be selected.
Answer:
I think it's true sorry if I get it wrong
Answer: it is false, I hope this helps you out!
Evaluate the expression when y=4 and x= 8. x+9y
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
Which of the following shows the image T of triangle ABC under the transformation (x,y)→(x−4,y+1)?
The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.
Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).
To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:
(x,y) → (x-4, y+1)
(a,b) → (a-4, b+1)
Therefore, the image of vertex A is A'(a-4, b+1).
Similarly, we can find the images of vertices B and C:
B'(c-4, d+1)
C'(e-4, f+1)
Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
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3.6= − a/0.8 − 1.6 − 0.8 a −1.6
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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