segment EH and segment E'H' both pass through the center of dilation.
Which statement is true about the dilation?A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.
The center, which may be found within, outside, or on a figure, is the only invariant (not changing) point under a dilation (k 1).
In the figure attached, triangle EFG is shown.
H is located at (0, 1)
The center of dilation is located at (0, 2)
Then, H' is located at (0, 0), so that the distance between the center of dilation and H' is twice the distance between the center of dilation and H.
E is located at (0, 5)
Then, E' is located at (0, 8), so that the distance between the center of dilation and E' is twice the distance between the center of dilation and E.
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a cone is sliced such that the cross section is perpendicular to its base and the cross section intersects its vertex. what is the shape of the cross section?
The cross section is shaped like a circle.
A cone is a three-dimensional geometric object with a flat base and a smooth transition to the apex or vertex.
If a cone is sliced such that the cross section is perpendicular to its base and intersects its vertex, the cross section will be a circular shape. This is because the cross section cuts through the entire cone at a right angle, producing a circle that is defined by the curved surface of the cone and the slicing plane. The diameter of the circle is equal to the base diameter of the cone, and its center is located at the midpoint of the base.
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Please help and solve this! Have a blessed day!
Answer: 8
Step-by-step explanation:
CF looks like the radius of the circle.
ED looks like the diameter.
.: ED = 2 x CF = 2 x 4 = 8
.: ED = 8
Answer:
The length of ED, or the diameter, is 8
Step-by-step explanation:
As the other person explained, CF is the radius, as the radius is from the centermost point to the edge. I also see that ED is the diameter, as the diameter is from edge to edge, going through the centermost point. Therefore, since the diameter is double the radius, we can solve this with the following equation:
2 * r = d, where r is radius and d is diameter.
2 * 4 = d
8 = d
1/6 divided by 5/6 i really need help
Answer: 1/5
Step-by-step explanation:
When dividing fractions, use the strategy of KCF (keep, change, flip). Keep the first fraction (this is a must) and then flip the second fraction.
In this case it would be 6/5. Then multiply both fractions, this would be 1 by 6 and 6 by 5. (6/30) in simplest form is 1/5, in the end to get the simplest form you would have to divide both the numerator and denominator by their common factor.
Hope this helped!
[7th Grader]
The magician' hoped to
the audience.
Which of these words would indicate that the
magician wanted to confuse the audience?
F amuse
€ mystify
H astonish
J distress
Answer:
c mystify
Step-by-step explanation:
mystify means
utterly bewilder or perplex (someone).
"maladies that have mystified and alarmed researchers for over a decade"
can you help answer part e of this question? (with workings out)
Answer:
0.86
Step-by-step explanation:
Probability of at least one set is green is
P = P(GG) + P(Green,not Green) + P(Not green, Green)
= (0.8 X 0.6) + (0.8x 0.4) + (0.2x 0.3)
=> 0.48 + 0.32 + 0.06
= 0.86
a beverage bottling company labels a product as having a mean volume of 12 oz. it is important to the company and consumers that the volume of each beverage is as close to 12 oz as possible. a quality control analyst randomly selects 40 beverages and finds that the mean volume is 12.2 oz, and the standard deviation is 0.7 oz. the company will need to adjust the bottling procedures if evidence exists that the mean volume of all beverages differs from 12 oz. is this enough evidence at
The company needs to adjust the bottling procedures since p < α i.e., 0.0117 < 0.10. Using z-score test statistics, the required value is obtained.
What is Mean ?The mean of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”
What is Deviation ?Deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.
How to calculate the z-score?
The z-score is calculated by
z = ( - μ)/(σ/√n)
Where :- sample mean; μ - population mean; σ - standard deviation; n - sample size.
It is given that,
Population mean μ = 12 oz
Sample size n = 40
Sample mean = 12.2 oz
Standard deviation σ = 0.7 oz
Constructing the test hypothesis as below:
H0: μ = 12 oz
Ha: μ < 12 oz (as close as possible)
Then, the z-score is
z = (12.2 - 12)/(0.7/√40)
= 0.2/0.1106
= 1.808
Thus, the required p-value for the obtained test score is p = 0.0117 from the distribution table.
Since p(0.0117) < 0.10(significance level), the null hypothesis is rejected.
Therefore, the company needs to adjust the bottling procedures since the mean volume of all beverages differs from 12 oz.
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PLEASE FOLLOW THE DIRECTIONS IN THE PICTURES. PLEASE HURRY. Thank you very much
Answer:
E
Step-by-step explanation:
\(\sqrt{144} = 12\\ \frac{234}{3}= 78\\\)
12, 68.12, 78
If 5 dates cost 25 cents, how many can be bought for USD 5?
Step-by-step explanation:
25 cents = $0.25
the ratio is 5/0.25 (5 dates for $0.25)
now we need to convert this to $5 in the denominator. and we need to multiply the numerator with the same factor.
and then the numerator will tell us how many dates we get for $5 in the denominator.
0.25 × x = 5
x = 5/0.25 = 20
indeed, 20 quarters = $5
so, we do
5/0.25 × 20/20 = 100/5
that means we can buy 100 dates for $5.
A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
4
11
14
16
Answer:
c 14 marbles
Step-by-step explanation:
Answer:
its c 14
Step-by-step explanation:
T/F the proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the .
The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.
What is coefficient of determination?
The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.
R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.
R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.
You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:
Dots represent the observations.
The line of best fit, or predictions of the model, is displayed as a black line.
Purple lines represent the deviations (the residuals) between the data and their expected values.
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A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material.
Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches.
Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot
How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch.
31 square inches
34 square inches
48 square inches
62 square inches
The amount of material needed for the entire kite is 48 square inches
How to determine the amount of material?The given parameters:
KI =6 inches
ET = 8 inches
KT=10 inches
Area of ΔKIT = 17 square inches
Start by calculating the area of the bottom triangle using:
A = 0.5 * Base * Height
This gives
A = 0.5 * 10 * 6
Evaluate
A = 30
The amount of material is
A = 30 + 17
A = 47
Hence, 48 square inches of material is used for the entire kite, quadrilateral KITE
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. find a set of smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets
Hi! To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:
1. List out the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements of both subsets without repeating any numbers: {1, 2, 3, 4, 5, 6, 8, 10}.
3. The combined set is {1, 2, 3, 4, 5, 6, 8, 10}, which has a size of 8.
So, the smallest possible set that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets is {1, 2, 3, 4, 5, 6, 8, 10}.
The smallest possible set that includes both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} subsets is {1, 2, 3, 4, 5, 6, 8, 10}.
To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:
1. Identify the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements from both subsets without repeating any numbers.
3. Organize the combined elements in ascending order.
Your answer: The smallest possible set that includes both subsets is {1, 2, 3, 4, 5, 6, 8, 10}.
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Hi! To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:
1. List out the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements of both subsets without repeating any numbers: {1, 2, 3, 4, 5, 6, 8, 10}.
3. The combined set is {1, 2, 3, 4, 5, 6, 8, 10}, which has a size of 8.
So, the smallest possible set that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets is {1, 2, 3, 4, 5, 6, 8, 10}.
The smallest possible set that includes both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} subsets is {1, 2, 3, 4, 5, 6, 8, 10}.
To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:
1. Identify the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements from both subsets without repeating any numbers.
3. Organize the combined elements in ascending order.
Your answer: The smallest possible set that includes both subsets is {1, 2, 3, 4, 5, 6, 8, 10}.
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Input 1 2 3 4 output -8 -11 -14 -17 what is the rule
Answer:
The function rule is: \(y = -3x-5\)
Step-by-step explanation:
Using the given input/output values, we can take two pairs of input-output values for finding the rule.
The function is a linear function as the input and output are changing linearly.
Required pairs are:
(1,-8) and (2, -11)
The general rule for linear function is:
\(y = mx+b\)
m is the slope of the function calculated using the formula
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Putting the values
\(m = \frac{-11+8}{2-1}\\m = \frac{-3}{1}\\m = -3\)
Putting in equation
\(y = -3x+b\)
To find the value of b, putting (1,-8) in the equation
\(-8 = -3(1) +b\\-8 = -3+b\\-8+3 = b\\b = -5\)
Putting the values
\(y = -3x-5\)
Hence,
The function rule is: \(y = -3x-5\)
Please help me, linear equations. Hurry please :)
Answer:
C) 18
Step-by-step explanation:
All you have to do is solve the equation.
2.25x + 5 = 45.50 (subtract 5 on each side)
2.25x = 40.50 (divide by 2.25 on both sides to get the x alone)
x = 18
40.50/2.25 = 18
Answer:
18 Miles
Step-by-step explanation:
If she tipped the driver $5, we need to remove that from the equation. So it's now $40.5.
Now to find the answer all we need to do is divide 40.5 by 2.25, which is 18.
A circle with centre C(-3, 2) has equation x² + y² + 6x - 4y = 12 (a) Find the y-coordinates of the points where the circle crosses the y-axis. (b) Find the radius of the circle. (c) The point P(2,5) lies outside the circle. (i) Find the length of CP, giving your answer in the form √n, where n is an integer. (ii) The point Q lies on the circle so that PQ is a tangent to the circle. Find the length of PQ.
a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.
(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:
0² + y² + 6(0) - 4y = 12
y² - 4y = 12
y² - 4y - 12 = 0
To solve this quadratic equation, we can factor it:
(y - 6)(y + 2) = 0
Setting each factor to zero, we find two possible values for y:
y - 6 = 0 => y = 6
y + 2 = 0 => y = -2
Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).
(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:
x² + y² + 6x - 4y = 12
(x² + 6x) + (y² - 4y) = 12
(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4
(x + 3)² + (y - 2)² = 25
Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.
Therefore, the radius of the circle is 5.
(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates into the formula, we have:
CP = √((2 - (-3))² + (5 - 2)²)
= √(5² + 3²)
= √(25 + 9)
= √34
Therefore, the length of CP is √34.
(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.
Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.
Therefore, the length of PQ is equal to 2 times the length of CP:
PQ = 2 * CP
= 2 * 5
= 10
Therefore, the length of PQ is 10.
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The points (−3, 5) and (4, −2) are on the graph of the function y = f(x). Find the corresponding points on the graph obtained by the given transformations. the graph of f shifted up 1 unit and to the left 3 units (−3, 5) corresponds to (x, y) = (4, −2) corresponds to (x, y)
The points (-3, 5) and (4, -2) on the graph of the function y = f(x) correspond to the points (1, 6) and (7, -1) on the graph of the function obtained by shifting f up 1 unit and to the left 3 units.
To find the corresponding points on the graph obtained by shifting f up 1 unit and to the left 3 units, we apply the given transformations to the original points.
For the point (-3, 5), shifting it up 1 unit gives us (-3, 5 + 1) = (-3, 6). Then, shifting it to the left 3 units gives us (-3 - (-3), 6) = (0, 6).
For the point (4, -2), shifting it up 1 unit gives us (4, -2 + 1) = (4, -1). Then, shifting it to the left 3 units gives us (4 - (-3), -1) = (7, -1).
Therefore, the corresponding points on the graph obtained by shifting f up 1 unit and to the left 3 units are (0, 6) and (7, -1).
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A bug walks all day and sleeps all night. On the first day, it starts at point O, faces east, and walks a distance of 5 units due east. Each night the bug rotates 60° counterclockwise. Each day it walks in this new direction half as far as it walked the previous day. The bug gets arbitrarily close to the point P. Then OP^2=m/n, where m and n are relatively prime positive integers. Find m+n.
The sum of prime positive integers m and n is 103.
Suppose that the bug starts at the origin (0,0) and travels a distance of a units due east on the first day, and that there is a real number r with 0<r < 1 such that each day after the first, the bug walks r times as far as the previous day. On day n, the bug travels along the vector v that has magnitude ar^{n-1} and direction (cos(n.60°), sin(n.60°)). Then P is the terminal point of the infinite sum of the vectors v1 , v2 .... coordinate of this sum is
a(cos 0° + r cos 60° + r² cos 120° + .......)
Because the angles repeat after 6 terms, this sum is equal to
aS( 1 + r⁶ + r¹² + .....) = aS/(1 - r⁶)
where S =cos0 +r cos60 + r^{2} cos120.....
Similarly , T = sin 0 + r Sin60 + ...
In case , r = 1/2 and a = 5
Co- ordinates of P = ( 5 , 5/√3)
Thus the square of the distance from the origin toP is 25+{25} / 3=100/3. The requested sum is 100+3=103.
Hence , the sum of prime positive integers m and n is 103.
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Please answer correctly I’ll mark you brainlist!
Answer:
look at the picture i sent......
Which equation represents the line that passes through the points (6,7) and ( -3,-2)
Answer:
y=x+1
Step-by-step explanation:
Find the Equation Using Two Points and i got y=x+1
Hope this helped and if it did can i get brainliest
what will be her total balance after 8 purchases ?
I need help on this the full answer
Answer:
t > 3
Step-by-step explanation:
1 hour = 194
582 / 194 = 3
She needs to ride for 3 hours to burn 582 calories
She needs to ride for more than 3 hours to burn more than 582 calories
in your own words explain angle addition postulate
This postulate tells us that when we put two angles side by side with a ray touching the ray of the other angle, we are creating a new angle which is the addition of the two, and whose measure is the addition of the measures of the two angles we are contacting via a common ray.
when does a simple correlation between two variables justify concluding that a definitely causes b? question 9 options: when the correlation is statistically significant. when there is no obvious third variable that could be causing changes in both a
A simple correlation between two variables when there is no obvious third variable that could be causing changes in both a and b.
A measure of the degree to which two variables vary together or the strength of the link between two variables is simple linear correlation. Correlation is frequently misused. You must provide evidence that one variable is really having an impact on another. and when we compare r to the relevant crucial value in the table, the association is statistically significant. The correlation coefficient is significant if it is greater than zero and does not fall between the positive and negative critical values.
the possibility that a reported correlation between two variables may not actually reflect any underlying relationship (in a causal sense) between the two variables, but rather the shared correlation between each of the variables and a third variable.
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A large bag of marbles is 1/2 red,
10% green and 0.25 of the marbles
are blue. The rest of the marbles are
white. What percent of marbles are
white?
There are 15% of marbles are white.
What is percentage?Rate is characterized as a given part or sum in each hundred. The denominator of a percentage is 100. Percentages are fractions. Simply put, it is the relationship between the parts, with the whole always having a value of 100. The number "%" is used to symbolize it.
Given the quantity of red marble in bag is 1/2, to convert it in percent multiply with 100,
% of red marble = 1/2 x 100 = 50%
% of green marble = 10%
quantity of blue marble is 0.25,
% of blue marble = 0.25 x 100 = 25%
and rest are white marbles , total capacity of bag is 100%
white marble = total marble - sum of red, green, and blue marbles
white marble = 100 - (50 + 10 + 25)
white marble = 100 - 85 = 15
% of white marble = 15%
Hence the white marbles are 15%.
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Lazarus' Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Robert's Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times would a person have to rent a boat for Lazarus' and Robert's charges to be equal? Write an equation and solve.
Answer:
The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal is 20 times
Step-by-step explanation:
The given information are;
For the Lazarus' Boat Rentals company
The yearly charges by Lazarus' boat company = $105
The charge each time a member rents a boat = $9.50
For the Robert's Boat Rentals company
The yearly charges by Robert's boat company = $0
The charge each time a member rents a boat = $14.75
Let the number of times required before the charges for both Lazarus' Boat Rentals company and Robert's Boat Rentals company to be equal, we have;
$105 + $9.50 × t = $14.75 × t
∴ t = $105/($14.75 - $9.50) = 20 times
The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal = 20 times.
I really need help Please thank you
Answer:
D
Step-by-step explanation:
the median is 85, the mean is 85, the mode is 80.
it can't be A, B, or C. so it must be D.
What is the value of the expression below? (9 divided by 3)+4(6-7)
Answer:
-1
Step-by-step explanation:
(9 divided by 3) + 4 (6 - 7) =
(9 ÷ 3) + 4 (6 - 7) =
( 3 ) + 4 ( -1 ) = Multiply 4 by -1
( 3 ) ( -4 ) = Subtract
-1
solve for x: X- 14= -12
Answer:
26
Step-by-step explanation:
Easy
The answer to the equation is 2
\(2-14=-12\)
what does the equal 2,000,005,679,876=?
Answer:
N/A
Step-by-step explanation:
If you're looking for a significance or interpretation of the number 2,000,005,679,876, it's just a number. Unless utilized in a certain mathematical, financial, or another applicable context, it has no meaning or relevance. It is a big number with thirteen digits that can signify a quantity, amount, or value in a variety of scenarios depending on the context.
Answer the questions about the graph shown below.
Part A) What is the price per ticket?
Part B) What equation can be used to represent the line?
Part C) If the theater were to sell 328 tickets, how much money would they make?
Part D) Is this relationship proportional? How do you know?
Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.
What is equation?An algebraic equation is a linear equation. Each term in a linear equation is either a constant or the result of a constant plus one variable. In the case of a linear equation with two variables, the graph is a straight line.
Here,
A) From the given we can find the price per ticket
which is => y/x
=> 60/5
=>12
Therefore the price per ticket is $12
B)The equation can be used to represent the graph is
y= 12x
C) The theater were to sell 328 tickets they would make
=> 328*12=3936
Therefore the money would they make is $3936
D)The relationship proportional as we can see from the graph
Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.
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