The equation for the new transformation is y = -(x-3)^2 - 2.
The parent function of a quadratic is y = x^2.
To translate it into 3 units right, we need to subtract 3 from x inside the parentheses: y = (x-3)^2.
To reflect the function across the x-axis, we need to negate the entire function: y = -(x-3)^2.
Finally, to translate the function down to 2 units, we need to subtract 2 from the entire function: y = -(x-3)^2 - 2.
So the equation for the new transformation is y = -(x-3)^2 - 2.
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a ___ is one of two pieces of a double cone divided at the vertex.
A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.
When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.
The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.
A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.
Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.
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need help for this question
The first one it's the first image, and the second one is the second image.
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities_ P(high-quality oil) P(medium-quality oil) 0.65 0.20 P(no oil) 0.15 If required _ round your answers to two decimal places:
(a) What is the probability of finding oil?
(b) After 200 feet of drilling on the first well; soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows
P(soil high-quality oil) 0.20 P(soil medium-quality oil) 0.80 P(soil no oil) 0.20
How should the firm interpret the soil test?
What are the revised probabilities?
(a) The probability of finding oil is 0.85
(b) The firm interpret the soil test as the probability of finding oil has decreased since the prior probabilities.
c) The revised probabilities is 100%.
A oil company has purchased an option on land in Alaska.
To determine the likelihood of finding oil, the company conducted preliminary geologic studies to assign prior probabilities of finding high-quality oil (0.65), medium-quality oil (0.20), or no oil (0.15). Therefore, the probability of finding oil is 0.65 + 0.20 = 0.85.
After 200 feet of drilling on the first well, a soil test was taken to determine the likelihood of finding high-quality oil (0.20), medium-quality oil (0.80), or no oil (0.20).
The results of this test should be interpreted as follows: the probability of finding oil has decreased since the prior probabilities.
Therefore, the revised probabilities are 0.20 + 0.80 = 1.00. This means that the oil company has a 100% probability of finding either high-quality or medium-quality oil.
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20% tip on a bill of $382.33
Answer: $76.5 (rounded)
Step-by-step explanation:
$382.22*0.20=$76.466
A box contains 23 yellow, 33 green and 37 red jelly beans. if 9 jelly beans are selected at random, what is the probability that:_________
The probability that exactly 10 are yellow out of 9 random selections is 0.
ProbabilityTo calculate the probability of exactly 10 jelly beans being yellow out of 9 selected at random, we need to consider the total number of favorable outcomes (selecting exactly 10 yellow jelly beans) divided by the total number of possible outcomes (selecting any 9 jelly beans).
The total number of jelly beans in the box is 23 (yellow) + 33 (green) + 37 (red) = 93.
The number of ways to select exactly 10 yellow jelly beans out of 9 is 0, as we have fewer yellow jelly beans than the required number.
Therefore, the probability of exactly 10 yellow jelly beans is 0.
In this case, it is not possible to have exactly 10 yellow jelly beans out of the 9 selected because there are not enough yellow jelly beans available in the box.
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A box contains 23 yellow, 33 green and 37 red jelly beans. if 9 jelly beans are selected at random, what is the probability that: exactly 10 are yellow?
which of the following statements are equivalent to the statement "the price increased by 1/2 of what it was before"
Answer: The price is now 1.5 of what it was before is the correct answer.
Step-by-step explanation:For the given situation,
The statement is given as price increased by 1/2.
Let us assume, we have an item costs 1$.
Now the price is increased by 1/2, so we need to add the fraction to 1.
a 70% cu-30% zn brass sheet is 0.09675 cm thick and is 40% cold-rolled. what must be the final thickness of the sheet? (1 point)
The final thickness of the sheet is = 0.0669 cm
brasses are copper zinc alloys. In general, they have good strength and corrosion resistance, although their structure and properties are a function of zinc content , Alloys containing up to approximately 35% zinc are single phase alloys, consisting of a solid solution of zinc and alpha copper
% cold reduction = (initial thickness - final thickness ) × 100
initial thickness
0.30% = (0.0955cm - final thickness ) × 100
0.0955cm
final thickness = 0.0669cm
Brass in an alloy of copper and zinc, bonze is an alloy containing 80% of cropper. A fuses mass of brass and bronze is found to contain 74% . Brass, alloy of copper and zinc, of historical and enduring importance because of its hardness and workability
Hence the final thickness of sheet is 0.0669 cm
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Pls help A sector of a circle has a central angle measure of 120°, and an area of 15 square inches. What is the area of the entire circle? Area of the circle = square inches
Therefore, the area of the entire circle is 45 square inches.
To find the area of the entire circle, we'll first determine the circle's radius using the given information about the sector. The formula for the area of a sector is:
Sector area = (central angle / 360°) × π × radius²
We know the sector area is 15 square inches, and the central angle is 120°. Let's use this formula to solve for the radius:
15 = (120° / 360°) × π × radius²
Now, let's find the radius and then calculate the area of the entire circle:
1. Divide both sides by (120° / 360°) × π:
radius² = 15 / ((120° / 360°) × π)
2. Simplify:
radius² = 15 / (⅓ × π)
3. Multiply by 3 to get rid of the fraction:
radius² = 45 / π
4. Take the square root of both sides:
radius = √(45 / π)
Now that we have the radius, let's find the area of the entire circle using the formula:
Area = π × radius²
Plug in the radius we found:
Area = π × (45 / π)
Area = 45 square inches
Therefore, the area of the entire circle is 45 square inches.
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MR. GREEN WISHES TO PURCHASE A HOUSE SELLING FOR $125,000 THE BANK REQUIRES A 20 % DOWN PAYMENT AND A PAYMENT OF TWO POINTS AT THE TIME OF CLOSING. WHAT IS THE COST OF THE TWO POINTS OF THE MORGAGE?
From the information given,
selling price of house = 125000
down payment = 20%
Thus,
down payment = 20/100 x 125000 = 25000
Loan amount or mortgage = selling price - down payment = 125000 - 25000
mortgage = 100000
1 mortgage point is 1% of the mortgage amount
2 mortgage points is 2% of the mortgage amount = 2/100 x 100000 = 2000
Thus,
cost of the two points of the mortgage = $2000
A production company is interested in collecting information on the impact of an educational documentary on everyone that watched it at the film festival.
Which statement is true?
a.) The production company is the sample.
b.) The production company represents the population.
c.) The group of people that watched the documentary at the festival represents the population. d.) The group of people that watched the documentary at the festival is the sample.
c.) The group of people that watched the documentary at the festival represents the population.
In this scenario, the production company is interested in collecting information on the impact of an educational documentary on everyone that watched it at the film festival. Therefore, the group of people that watched the documentary at the festival represents the population of interest.
Thus, the correct answer is c.) The group of people that watched the documentary at the festival represents the population.
Option a.) The production company is the sample is incorrect because the production company is not a group of people who watched the documentary, but rather the entity interested in collecting information on the impact of the documentary.
Option b.) The production company represents the population is incorrect because the production company is not a group of people who watched the documentary, but rather the entity interested in collecting information on the impact of the documentary.
Option d.) The group of people that watched the documentary at the festival is the sample is also incorrect because the group of people that watched the documentary at the festival is not a subset of a larger group being studied. Instead, they represent the entire population of interest.
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El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
Who knows how to do this I TRULY NEED HELP
Answer:
sorry i cant help , not smart enough ,but i wish i was tho
Step-by-step explanation:
the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store?
For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.
Probability is a measure of the likelihood that an event will occur.
Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it.The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.
Let, X be the random variable denoting the number of shoppers on a random day.
Then, X follows normal with mean 505 and standard deviation of 115.
Then, we can say that,
Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.
We have to find
P (250 <X< 450)
= P {(250-505)/155} < Z < {(450-505)/155}
= P (-1.64 <Z< -0.03)
Where, Z is the standard normal variate.
ρ = -1.64 <ρ< -0.03
Where, ρ is the distribution function of the standard normal variate.
From the standard normal table, this becomes
=0.00585
For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.
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Which is the best deal of these three offers?
2/$3.33
3/$4
4/$5
Please explain...
Select the correct answer. Maxine owns a food truck that sells cups of frozen yogurt. The revenue, y in dollars, Maxine makes from selling x number of frozen yogurts is recorded in the table below. x 38 44 55 62 76 y 68.42 76.38 83.61 80.27 74.75 If y = -0.03x2 + 3.52x - 21.86 is the equation for the curve of best fit for the given data, about how much revenue will Maxine make when she sells 90 cups of frozen yogurt? A. $41.79 B. $83.61 C. $67.74 D. $51.94
Answer:
$51.94
Step-by-step explanation:
Question 1
A drawer contains only blue, black, and white socks. There are 8 blue socks, 5 black socks, and 3 white socks Drag and drop the responses into the boxes to make the statement true.
The probability of selecting, without looking, a blue sock and then a
sock is
:: blue
: black
white
::
::
3
16
::
Answer:
The probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.
Step-by-step explanation:
Since a drawer contains only blue, black, and white socks, and there are 8 blue socks, 5 black socks, and 3 white socks, to determine the probability of selecting, without looking, a blue sock and then a blue, black or white sock the following calculations must be performed:
Blue = 8/16 x 7/15 = 0.5 x 0.46 = 0.2333
Black = 8/16 x 5/15 = 0.5 x 0.333 = 0.1666
White = 8/16 x 3/15 = 0.5 x 0.2 = 0.10
Therefore, the probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.
30 decreased in the ratio 2 :3
To find the value after it is decreased in the ratio of 2:3, we can use the concept of common ratio. By subtracting the decrease from the ratio, we will get our answer.
Determine the common ratio: The ratio is given as 2:3, which means that for every 2 units decrease, there is a corresponding 3 units decrease. In this case, the common ratio is 2/3.
Calculate the decrease: Multiply the value (30) by the common ratio (2/3) to find the amount of decrease.
Decrease = 30 * (2/3) = 60/3 = 20
Subtract the decrease from the original value to find the final value:
Final value = 30 - 20 = 10
Therefore, when 30 is decreased in the ratio of 2:3, the final value is 10.
Complete Question:
Determine the common ratio: The ratio is given as 2:3.
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If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].
Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.
Let A is a 3 x 5 matrix and B is a 5 x 7 matrix
We know that matrix multiplication of A and B is possible if
Number of columns of A = Number of rows of B
Since in the given problem
Number of columns of A = Number of rows of B = 5
So the product is possible
Now the product AB is a matrix of order 3 × 7
Now the order of the product AB is 3 × 7
If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.
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Find the slope and y intercept
Answer:
b
Step-by-step explanation:
Which of the following represents the solution to the inequality
Answer:
the question?
Step-by-step explanation:
What is the value of expression
\( {5}^{3} \)
Answer:
125
What is an exponent?An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.
If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.
5 × 5 × 5 = 125Therefore, the answer to \(5^{3}\) is 125.
120 divided by 8 x [ 4 to the power of 3 + 7 ]
Answer: 1065
Step-by-step explanation: 120/8=15
4 to the power of 3= 64+7=71
15 x 71 = 1065
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
A
−14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]
B
−14 × {23 + (−47)} = [14 × 23] − (−47)
C
−14 × {23 + (−47)} = 23 + (−14) × −47
D
−14 × {23 + (−47)} = {23 + (−47)} − 14
Your answer: A −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)] This example demonstrates the distributive property of multiplication over addition for rational numbers, which states that for any rational numbers a, b, and c: a × (b + c) = (a × b) + (a × c).
The correct answer is A: −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]. This is an example of the distributive property of multiplication over addition for rational numbers because we are multiplying −14 by the sum of 23 and −47, and we can distribute the multiplication to each term inside the parentheses by multiplying −14 by 23 and −14 by −47 separately, and then add the two results together. This is the basic definition of the distributive property of multiplication over addition. Option B shows the distributive property of multiplication over subtraction, option C shows the product of multiplication and addition, and option D is not a valid equation.
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One possibility for considering a correlation between the data is to form a scatter plot. To form a scatter plot, first mark off axes for numbers of home runs by each leagues home run leaders. For each league, what is the difference between the smallest number of home runs by the leaders and the greatest number
In statistics, a scatter plot is used to identify a correlation between two variables by visually observing a collection of ordered pairs (x, y) in which two variables are plotted on the X and Y axis. The value of one variable is compared to the value of the other variable. The data can be measured and presented on a graph to determine whether there is a relationship between them. A scatter plot of home run leaders for each league in baseball is one such example.
To construct a scatter plot of home run leaders in baseball, the difference between the smallest and largest number of home runs by leaders for each league must first be calculated. The American League and the National League are the two leagues in baseball that have home run leaders. A scatter plot of home run leaders can be constructed using a graph. The vertical axis represents the number of home runs hit by the leaders in the National League.
The horizontal axis represents the number of home runs hit by the leaders in the American League. The difference between the greatest and smallest number of home runs hit by the leaders in each league will be measured. To get the difference between the smallest and greatest number of home runs in each league, the greatest number of home runs hit by leaders in a league is subtracted from the smallest number of home runs hit by leaders in a league.
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the shape of earth's magnetosphere is modified by question 10 options: the moon's tidal force. the solar wind. earth's own gravity. earth's elliptical orbit.
Overall, the shape of the magnetosphere is determined by the interaction of the solar wind and the Earth's magnetic field.
The shape of Earth's magnetosphere is modified by the solar wind. The Earth's magnetosphere is a protective magnetic shield around the Earth that protects us from the harmful particles and radiation from the Sun. The magnetosphere is not a perfect sphere, but rather a complex shape that is constantly changing due to the interaction of the solar wind and the Earth's magnetic field.The solar wind is a continuous stream of charged particles, mostly protons and electrons, that are ejected from the Sun's outer atmosphere. When these charged particles come into contact with the Earth's magnetic field, they are deflected around the Earth, forming a bow shock in front of the magnetosphere.
The magnetosphere then acts as a barrier, trapping many of the charged particles and preventing them from reaching the Earth's surface. However, some particles are able to penetrate the magnetosphere and reach the upper atmosphere, where they can cause auroras and other phenomena.The shape of the magnetosphere is constantly changing due to the changing conditions in the solar wind.
For example, during periods of high solar activity, the magnetosphere can become compressed and distorted, leading to more auroras and other phenomena. During periods of low solar activity, the magnetosphere can expand and become more symmetrical.
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Given ∠9≅∠13. Which lines, if any, must be parallel based on the given information? Justify your conclusion. c∥d, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem c∥d, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
simplify the following ratio
18:24:30
Answer:
3:4:5( by cancelling by 6)
Step-by-step explanation:
please mark me as brainlest
Answer:
3 : 4 : 5
Step-by-step explanation:
18 : 24 : 30 ( divide each part by 6 )
= 3 : 4 : 5
Help!! View picture:)
The truth table for the statement is
r s ¬r s ∧ ¬r
---------------------
T T F F
T F F F
F T T T
F F T F
How to construct a truth table for the statementFrom the question, we have the following parameters that can be used in our computation:
s ∧ ¬r
To construct the truth table, we make use of the following notations
s, r and ¬r
The truth table for the statement s ∧ ¬r is then represented as follows:
r s ¬r s ∧ ¬r
---------------------
T T F F
T F F F
F T T T
F F T F
The condition for ∧ is that it is true if both statements are true
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The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?
Answer:
1 km
Step-by-step explanation:
if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km
Gerard concluded that the triangle with sides feet, 8 feet, and cannot be used as a building frame support on the house because it is not a right triangle. How did gerard come to that conclusion? explain.
Gerard concluded that triangle with given sides cannot be used as building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.
In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,
So, the squares of the given sides are :
Square of √95 feet = (√95)² = 95 feet
Square of 8 feet = 8² = 64 feet
Square of √150 feet = (√150)² = 150 feet
We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,
Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.
Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.
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The given question is incomplete, the complete question is
Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.