The required solution of the expression - | x - y | for x = -2 and y = -5 is -3
Given that,
An expression is given -|x-y| , the value is to be determined for x = -2 and y = -5
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
= - | x - y |
For x = - 2 and y = - 5
= - | - 2 - ( -5 ) |
= -| -2 + 5|
= - | 3 |
= -3
Thus the required solution of the expression -|x-y| for x=-2 and y=-5 is -3
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Complete the intro by selecting the appropriate statistical vocabulary from the drop down boxes. This study was conducted to explore whether perception of money by preschool age children is influenced by their family wealth. This was investigated by testing how the children would recall the size of a coin, with the assumption that the size recalled related to the value placed on the coin. To conduct the study, three local day-care facilities specializing in preschool age children were randomly selected. Consent forms were sent home to the parents of the kids, which also asked parents for their average yearly household income. Since everyone from the three selected facilities was used in the study, this is Select an answer sampling. The income data collected was Select an answer $ data at the select an answer level of measurement From the parents who consented, the children were divided into two groups: those whose family income was greater than S40,000, and those whose family income was less than $40,000. Each child was asked to draw a nickel. The resulting circle?s diameter was then measured. When the shape drawn was not a perfect circle, the largest and smallest diameters were averaged. The coin diameter data was Select an answerdata at the |Select an answer + level of measurement. The gender of each child was also collected. This data was select an answer data at the select an answer # level of measurement. Because this data was being collected at one point in time, this is a Select an answer study. Since we are not imposing a treatment on the children, this is not an Select an answer It is hypothesized that children from lower income families would draw larger coins than children from higher income families. Points possible: 10 License
This study was conducted to explore whether the perception of money by preschool-age children is influenced by their family wealth.
This was investigated by testing how the children would recall the size of a coin, with the assumption that the size recalled related to the value placed on the coin. To conduct the study, three local daycare facilities specializing in preschool-age children were randomly selected.
Consent forms were sent home to the parents of the kids, which also asked parents for their average yearly household income. Since everyone from the three selected facilities was used in the study, this is a census sampling.
The income data collected was quantitative data at the ratio level of measurement. From the parents who consented, the children were divided into two groups:
those whose family income was greater than $40,000, and those whose family income was less than $40,000. Each child was asked to draw a nickel.
The resulting circle's diameter was then measured. When the shape drawn was not a perfect circle, the largest and smallest diameters were averaged. The coin diameter data were continuous data at the interval level of measurement. The gender of each child was also collected.
This data was categorical data at the nominal level of measurement. Because this data was collected at one point in time, this is a cross-sectional study. Since we are not imposing treatment on the children, this is not an experiment.
It is hypothesized that children from lower-income families would draw larger coins than children from higher-income families.
This study used census sampling to investigate the relationship between family wealth and the perception of money in preschool-age children.
Data on average yearly household income, coin diameter, and gender were collected. The income data was quantitative at the ratio level of measurement, while the coin diameter data was continuous at the interval level of measurement, and the gender data was categorical at the nominal level of measurement.
This study is a cross-sectional study, and it hypothesized that children from lower-income families would draw larger coins than children from higher-income families.
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Here are two similar solid toys.
A
B
The ratio surface area of toy A : surface area of toy B is 7:9
The volume of toy B is 20 cm
I
Work out the volume of toy A.
Give your answer correct to 3 significant figures.
Answer:
13.7
Step-by-step explanation:
7*k²=9
k²=9/7
k=√9/7
k=1.133893419
20/1.133893419³=13.7
The volume of toy A will be equal to 13.7 cubic centimetres.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio surface area of toy A: to the surface area of toy B is 7:9. The volume of toy B is 20 cm
The computation of the volume of toy A is shown below:
7 × k²=9
k²= 9 ÷ 7
k=√(9 ÷ 7)
k = 1.133893419
Now
The volume of toy A = 20 ÷ 1.133893419³
The volume of toy A = 13.7 cubic centimetres
Therefore, the volume of toy A will be equal to 13.7 cubic centimetres.
The missing figure is attached with the answer below.
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A cable repair person has 6.8 meters of wire. Suppose each meter of the wire weighs 4.1 ounces. Find the weight of the wire.
Answer:
27.88 ounces
Step-by-step explanation:
6.8 x 4.1 = 27.88 ounces
some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 234 cm. a passenger wants to take a box of the maximum allowable volume. if the length and width are to be equal, what should the dimensions be?
The length, breadth and height will be 78 cm, 78cm, 78cm each.
let consider the length = l
breadth = b
height = h
we are provided that
l + b + h = 234cm .......(1)
Also we have to maximize the volume , provided length is equal to breadth
∴ eqn (1) becomes
2b + h = 234
h = 234 - 2b
also ,
volume(v) = lbh
v = b²(234 - 2b)
v = b²234 - 2b³
now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )
i.e. d( v)/db = 0
∴ 468b - 6b² = 0
6b² - 468b = 0
6b( b - 78 ) = 0
∴ b = 78 cm
now as length = breadth
l = b = 78 cm
also putting this value in eqn (1)
h = 234 - 2b
h = 78 cm
So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .
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√15x9x5x3
If the area if rectangle is in this form find the simplest Form
The offered statement states that a rectangle's basic shape has a 45-square-foot area.
What is the short definition of a rectangle?An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A parallelogram is a polygon with only two dimensions. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.
Area of rectangle = Length (L) * Width (W)
Area of rectangle = \(\sqrt{15*9*5*3}\)
= \(\sqrt{3*5*3*3*5*3}\)
= 3*5*3
= 45
Consequently, the area of a rectangle in its most basic form is 45.
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Help me with trig please, I don’t need an in-depth solution because I’m just checking my answers
Regarding to angle x, we have the opposite leg and the hypothenuse. The trigonometric function that associates them is the sine.
So:
\(\begin{gathered} sinx=\frac{14}{24} \\ sinx=0.58333 \\ arcsin0.58333=x \\ x=32.6850\degree \end{gathered}\)Answer: x= 32.6850 degrees
In ΔXYZ, x = 1.4 cm, z = 2 cm and ∠Z=37°. Find all possible values of ∠X,
Answer: 24.9
Step-by-step explanation:
Which equation should she use? NO k= 2PX? Ok= -px? Ok= 2 X
Answer:
k = 2P /x^2
Step-by-step explanation:
P = 1/2 kx^2
Multiply each side by 2
2P = 2*1/2 k x^2
2P = k x^2
Divide each side by x^2
2P / x^2 = k x^2 / x^2
2P /x^2 =k
The orbital period, P, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn's orbital period is 29.5 years, what is its distance from the sun?
Answer:
a for saturn is 9.55 astronomical units
Step-by-step explanation:
Here, we are interested in calculating the distance from the sun.
Mathematically, from the question;
P = a^3/2
29.5 = a^3/2
a = 29.5^2/3
a = [3√(29.5)]^2
a = 9.55 in astronomical units
Answer:
a) 9.5 AU
Step-by-step explanation:
on edge
2p+1÷5p+6 =1÷7 whats the answer
Answer:
The result can be shown in multiple forms.
Exact Form:
p= - 13/19
Decimal form:
p= - 0.68421052...
(i) A baker has found that the number of muffins he/she sells, q, depends on the price, Sp, of his/her muffins as q = 11 - p. Each muffin costs the baker $3 to produce. Write down the expression for profit in terms of p. (ii) What price should the baker charge per muffin in order to maximise profit?
(i) The expression for the profit is -p² + 14p - 33
(ii) The price per muffin that maximizes profit is $7.
What is the expression for profit in terms of p?(i) The expression for profit in terms of p can be calculated by subtracting the cost from the revenue. The revenue is obtained by multiplying the price per muffin (p) by the number of muffins sold (q):
Revenue = p * q
The cost per muffin is given as $3. Therefore, the profit (P) can be expressed as:
P = Revenue - Cost
P = (p * q) - (3 * q)
Since q = 11 - p, we can substitute this expression into the profit equation:
P = (p * (11 - p)) - (3 * (11 - p))
Simplifying further, we have:
P = 11p - p² - 33 + 3p
P = -p² + 14p - 33
(ii) To find the price that maximizes profit, we need to determine the value of p that corresponds to the maximum point of the profit function. In this case, the profit function is a quadratic equation.
To find the maximum point, we can calculate the vertex of the quadratic function using the formula:
p = -b / (2a)
In the quadratic equation P = -p² + 14p - 33, we can identify that a = -1, b = 14, and c = -33.
Using the vertex formula, we can find:
p = -14 / (2*(-1))
p = 7
Therefore, the price per muffin that maximizes profit is $7.
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yakubu and bello owned a business in which the ratio of their shars was 3:5, respectively. if yakubu later sold 3/4 of his share to bello for N180000, what is the value of the business?
The value of the yakubu and bello business is N80,000.
Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.
The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.
Now, let's assume the value of the business is represented by "V" (to be determined).
Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.
The value of 9/4 parts of the business is N180,000, so we can set up the following equation:
(9/4) * V = N180,000
To solve for V, we multiply both sides of the equation by 4/9:
V = (4/9) * N180,000
V = N80,000
Therefore, the value of the business is N80,000.
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Simplify:
3×5-1-(2² +6÷2)
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3×5-1-(2^2+6÷2)
3×5-1-(4+6÷2)
3×5-1-(4+3)
3×5-1-7
15-1-7
14-7
7
PLEASE HElP ASAP 10 PTS, BRAINLEST ANSWER
Indicate the equation of the given line in standard form. Show all of your work for full credit.The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).
Answer:
is there more in the question
Question 13: Design matrix and observation vector find LSQ quadratic polynomial Proctor ? Proctor Consider the data set: (-2, 1), (0, 1), (-2, 1) and (1, 3). Your goal here is to find the best fit quadratic polynomial y(x) = 20 + a1x + 22x2 for this data. To find 20, 21, 22, you have to solve the linear system ap X 01 =y, a2 where X= and y = ?
To find the LSQ quadratic polynomial for the given data set, we need to start with creating the design matrix and observation vector. The design matrix X is constructed using the x values of the data set and is given by:
X = [1 -2 4; 1 0 0; 1 -2 4; 1 1 1]
Here, each row corresponds to one data point, with the first column representing the constant term, the second column representing the linear term, and the third column representing the quadratic term.
The observation vector y is constructed using the corresponding y values of the data set and is given by:
y = [1; 1; 1; 3]
Now, to find the LSQ quadratic polynomial, we need to solve the linear system X'Xp = X'y, where p is the parameter vector containing the coefficients of the quadratic polynomial.
Solving this system, we get:
p = [-11/4; 1/2; 9/4]
Therefore, the best fit quadratic polynomial for the given data set is:
y(x) = 20 - 11/4x + 1/2x^2 + 9/4x^2
Note that the constant term 20 is not obtained from the linear system and is instead taken directly from the polynomial form.
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the following frequency table represents the number of drinks someone has in a week for 40 people. what is the 70th percentile of the data?
Answer:
Step-by-step explanation:
Why was isolationism so popular in the United States in the 1920s and 1930s ?
The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.
The devastation and expense of World War One had left their imprint on America, and the majority of people there just wanted to be left alone to focus on fostering prosperity in their country rather than be involved in any further politics in Europe.
Because they did not want the US to be drawn into another conflict the way they (perceived) it had been into World War I, many Americans in the 1930s backed an isolationist stance.
Because when he first became office, he felt at ease reaching out to the globe in a variety of ways. However, after realizing that his neighbors did not get along, he decided it would not be best for the US to become involved.
Therefore,
The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.
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The piston stroke depend on * offset
crank angle
B crank radius the crank angle value when the piston at TDC is...... 120 30 0*2pi B the maximum ratio of crank radius to connected length is *
4
0.25-0.3 0.25 0.3
The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.
The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.
Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.
It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.
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If a study introduces parallel forms of the same measurement instrument to the same person, the researcher is assessing_____
Multiple Choice
O item Interpretability
O item economy
O item equivalence
O item stability
O item convenience
The researcher is assessing item equivalence, If a study is in parallel forms of the measurement instrument to the same person. The correct option is C).
When a study introduces parallel forms, the researcher is assessing item equivalence. Item equivalence refers to the extent to which the different forms of the measurement instrument produce similar results for the same individual.
This assessment is crucial in research because it allows researchers to evaluate the consistency and reliability of the measurement instrument across different versions. By administering parallel forms to the same person, any differences in responses can be attributed to individual factors rather than variations in the instrument.
This helps ensure that the instrument is measuring the intended construct consistently and accurately. The correct option is C).
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Kendra watches the moon change from a new moon to a full moon. Which of the following descriptions is accurate? (Select all that apply.)
Responses
The moon is waxing.
The moon is waxing.
The moon is waning.
The moon is waning., ,
The moon appears to get smaller.
The moon appears to get smaller.
The moon appears to get bigger.
The moon appears to get bigger.
The moon does not change.
The correct description is that moon is waxing.
Which of the following descriptions is accurate?The theory used in this question is the lunar cycle, which is the process by which the moon changes its shape and illumination over the course of a month.
The waxing phase of the lunar cycle is when the moon is gradually getting bigger and more illuminated.
The waning phase is when the moon is gradually getting smaller and less illuminated.
The moon is waxing:
This is an accurate description because when the moon changes from a new moon to a full moon, it is said to be waxing.
This means that the moon is gradually getting bigger, and its illuminated side is increasing.
This process is called the waxing phase of the moon's cycle.
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Please help this is the last answer I need for the assignment.
Answer:
-72
Step-by-step explanation: 9x-1= -9 and 8x+8= 8 and then parenthesis around both equations, which mean multiply, so -9 x 8= -72 .
does my story part make sense?? is it right??
\(x\2sqrt{x}9xx^{7}yx^{5}\)
The evaluated expression is 9x^13y√x
How to evaluate the expressionFrom the question, we have the following parametes that can be used in our computation:
\(x\2sqrt{x}9xx^{7}yx^{5}\)
Express properly
So, we have
x√x * 9x^7 * yx^5
Evaluate the products by applying the law of indices
So, we have the following representation
√x * 9* yx^13
This can be rewritten as
9x^13y√x
Hence, the solution is 9x^13y√x
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A chef uses salt and sugar in the ratio 2:7 to make a sauce. The chef uses 133 g of sugar. How much salt does he use?
Suppose a point (x, y) is selected at random from inside the unit circle (circle of radius 1 centered at the origin). Let r.v.R be the distance of the point from the origin. Find the sample space of R, SR Find P(R r) Plot the cdf of R. Specify the type of r.v.R
The type of r.v.R is a continuous random variable, since its possible values form a continuous interval [0,1].
The sample space of R is the interval [0,1], since the distance from the origin to any point inside the unit circle is between 0 and 1.
To find P(R < r), we need to find the probability that the randomly selected point falls inside a circle of radius r centered at the origin. The area of this circle is πr^2, and the area of the entire unit circle is π, so the probability is P(R < r) = πr^2/π = r^2.
The cdf of R is the function F(r) = P(R ≤ r) = ∫0r 2πx dx / π = r^2, where the integral is taken over the interval [0,r]. This is because the probability that R is less than or equal to r is the same as the probability that the randomly selected point falls inside the circle of radius r centered at the origin, which has area πr^2. The cdf of R is a continuous and increasing function on the interval [0,1].
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which measures are used in the five-number summary?
The five values in a summary are the median, the lower and upper quartiles, the maximum and minimum values in the data set. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.
What is median value?To arrange the data points in increasing order for a small data set, count the number of data points (n). To get the rank of the data point whose value is the median when the number of data points is unequal, multiply the total by 1 and divide the results by 2. The midway number in a set of data is known as the median. The data should first be arranged and ranked from smallest to greatest. Divide the total number of observations by two to get the midway value. The value in that location is the median if there are an odd number of observations; otherwise, round the number up.To learn more about minimum value, refer to:
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What is the common difference between successive terms in the sequence?
0.36,0.26,0.16,-0.04,-0.14
John went to the bakery and bought
several dozen donuts and several
dozen bagels. The donuts cost $9
per dozen and the bagels were $8
per dozen. If he spent a total of
$101 for 12 dozen items, how many
donuts did he buy?
Answer:
5 dozen Donuts
7 dozen bagels
Step-by-step explanation:
5 * 9 = 45
7 * 8 = 56
56 + 45 = 101
Answer: He bought 5 dozen donuts
Step-by-step explanation:
d + b = 12 where d is the number of donuts and b is the number of bagels.
9d + 8b= 101 now solve the two equations using the elimination method
-9d - 9b =-108
9d + 8b = 101
-1b = -7
b = 7
9d + 8(7)= 101
9d + 57 = 101
9d = 45
d= 5
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
On solving the provided question, by properties of parallel lines we got to know that - 1 - A 2 - C 3 - B 4 - D
what is alternate exterior angles?When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.
Matches are -
1 - A
2 - C
3 - B
4 - D
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What is 3 6 equivalent to in fractions?
Answer:
1/2
Step-by-step explanation: