X is the midpoint of UV, Y is the midpoint of UW, and T is the midpoint of VW. If mZU= 56° and mZV=41°, find mZTYW.

Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

y=3x+13; y=7x+17

Step: Solve y = 3x + 13 for y:

y=3x+13

Step: Substitute 3x + 13 for y in y = 7x + 17 :

y=7x+17

3x+13= 7x+17

3x+13+-7x=7x+17+-7x (Add -7x to both sides)

-4x+13=17

-4x+13+-13=17+-13 (Add -13 to both sides)

-4x=4

-4x/-4 = 4/-4 (Divide both sides by -4)

x=-1

Step: Substitute -1 for x in y=3x+13:

y=3x+13

y=(3)(-1)+13

y=10(simplify both sides of the equation)

Answer:

x= -1 and y= 10

(Hope this helped!)

To make x the subject of the expression, we have; x = 16y^2 - 5.

Subject of formula is a topic in mathematics which involves expressing an alphabet in terms of other alphabets in the given expression. From the given question, to make x the subject implies expressing x in terms of other variables in the given expression.

So that, [tex]\frac{\sqrt{x + 5} }{4}[/tex] = y

square both sides of the expression to have;

(x + 5)/ 16 = y^2x + 5

= 16y^2x = 16y^2 - 5

Therefore to express x as a subject of formula for the given expression, we have;

x = 16y^2 - 5

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Answer:

price is now $24.64

and it was $3.36 off

Step-by-step explanation:

Answer:

(12m + 5 ) - (3m - 2)

12m + 5 - 3m + 2

12m - 3m + 5 +2

9m + 7

Answer:

[tex] \sf \: 9m + 7 [/tex]

Step-by-step explanation:

Given expression,

→ (12m + 5) - (3m - 2)

Let's simplify the expression,

→ (12m + 5) - (3m - 2)

→ 12m + 5 - 3m + 2

→ (12m - 3m) + (5 + 2)

→ (9m) + (7)

→ 9m + 7

Hence, the answer is 9m + 7.

The ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator is 2 : 1.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, In the cafeteria's refrigerator, there are 11 bottles of orange juice and 22 bottles of apple juice.

Therefore, The ratio of bottles of orange juice to bottles of apple juice is,

orange juice : apple juice = 22 : 11.

orange juice : apple juice = 2 : 1.

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Answer:

1st one: y=x+2

2nd one: y=x/4

3rd one: y=3x

4th one: y=x-5

The measure of the angle x in the isosceles triangles are;

x = 44°

1) x = 80°

An isosceles triangle is a triangle that has a pair of congruent sides and a pair of congruent angles.

The measure of the specified angle are found as follows;

The isosceles triangle that has 92° as the exterior angle, indicates that we get;

Base angles of the isosceles triangle = (180° - 92°)/2 = 44°

Vertical angles theorem, indicates that the vertical angle and the base angles of the second isosceles triangle are congruent.

Base angles of the second isosceles triangle = 44°

1) The angle adjacent to the angle x is a base angle of the isosceles triangle that has a base angle of 70°

The vertex angle of the isosceles triangle = 180° - 2 × 70° = 40°

The measure of the section of the indicated 90° angle that is a part of the isosceles triangle that has angle x as the vertex angle = 90° - 40° = 50°

The measure of angle x found using the relationship between the angles in an isosceles is; x = 180° - 2 × 50° = 80°

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Answer:

208 mm

Step-by-step explanation:

A = Area. P = Perimeter. B = base.

Let's say H = Height

P = 2B + 2H

Now we already know the perimeter is 68 mm, so P = 68:

68 = 2B + 2H

In addition, we know that the base is 26 mm, so B = 26:

68 = 2(26) + 2H

68 = 52 + 2H

16 = 2H ==> subtract 52 on both sides

H = 8  ==> the height of the rectangle is 8 mm

A = B * H  

A = 26 * 8  ==> plugin B=26 and H=8 into the Area formula

A = 208  ==> simplified

Hence, the area is 208 mm.

0.80 is the expected value of wei's ticket. This can be solved by using the concept of probability.

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

As, we know

E(x) = x₁. p(x₁) + x₂ . p(x₂) + ....... + x(n). p(x(n))

From the table it is shown that,

E(x) = (68% × 0) + (24% × 0) + (6% × 5) + (2% × 25)

or, E(x) = 0.80

then the expected value of Wei's ticket is: 0.80

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Area of concave hexagon = 24

To find the area of the concave hexagon, we can divide it into two triangles and a rectangle. The side lengths of the rectangle are the difference of the radii of the two circles (4-2=2) and the distance between the centers of the circles, which can be found using the Pythagorean theorem. Using that we can find the area of the rectangle and the two triangles. The area of the hexagon is the sum of the areas of these three shapes.

In the given case, let the distance between the centers of the circles be 'd'.

d^2 = (4+2)^2

d = √((4+2)^2) = √(36) = 6

Area of rectangle = 26 = 12

Area of each triangle = (1/2)(2d) = (1/2)(2*6) = 6

Area of hexagon = 12 + 2*6 = 24

Area of concave hexagon = 24

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For class 10, the midpoint formula in the coordinate geometry for the endpoints ( x₁ , y₁ ) and ( x₂ , y₂ )  is given by:

( x , y ) = [( x₁ + x₂)/2 , (y₁ + y₂)/2].

As given in the question,

In the coordinate geometry of class 10,

To get the x and y coordinate of the midpoint following points need to follow:

Therefore, in the coordinate geometry of class 10 the midpoint formula is given by ( x , y ) = [( x₁ + x₂)/2 , (y₁ + y₂)/2].

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Answer: Assuming the conditions for inference are met, we can use the difference in proportions of red beads in the two samples to estimate the difference in proportions of red beads in the population. The 95% confidence interval for the difference in proportions of red beads in the two containers is calculated as follows:

Difference in sample proportions = p1 - p2 = (13/50) - (16/50) = -0.03

Standard error of the difference in sample proportions = sqrt{(p1*(1-p1)/n1) + (p2*(1-p2)/n2)} = sqrt{(13/50)(37/50)/50 + (16/50)(34/50)/50} = 0.079

Margin of error = z* * standard error of the difference in sample proportions = 1.96 * 0.079 = 0.155

95% Confidence interval for the difference in proportions of red beads in the two containers = (difference in sample proportions - margin of error, difference in sample proportions + margin of error) = (-0.03 - 0.155, -0.03 + 0.155) = (-0.185, 0.125)

So, we can be 95% confident that the difference in the proportion of red beads in the two containers is between -0.185 and 0.125.

Step-by-step explanation:

The probability of four Kings and four Queens being all next to each other in a well shuffled deck of 52 cards is approximately 0.00000000024 or 0.000000002%.

The probability of four Kings being all next to each other in a well shuffled deck of 52 cards is:

(1/51) * (1/50) * (1/49) * (1/48)

= 0.000000000077 or 0.00000077%

The probability of four Queens being all next to each other in a well shuffled deck of 52 cards is:

(1/51) * (1/50) * (1/49) * (1/48)

= 0.000000000077 or 0.00000077%

The probability of four Kings and four Queens being all next to each other in a well shuffled deck of 52 cards is:

0.000000000077 * 0.000000000077

= 0.00000000024 or 0.000000002%

The probability of four Kings and four Queens being all next to each other in a well shuffled deck of 52 cards is very small, approximately 0.00000000024 or 0.000000002%. This is because there are many other combinations of cards that can occur in a shuffled deck.

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The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are given below.

(3, 19) and (9, 25)

The equation of the line that passes through (3, 19) and (9, 25) will be given as,

(y - 25) = [(25 - 19) / (9 - 3)](x - 9)

y - 25 = (6/6)(x - 9)

y - 25 = x - 9

y = x - 9 + 25

y = x + 16

The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.

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Angle m∠3 is 79degree

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

Given;

m∠1= (x+70)

m∠2= (5x+54)

Here, m1=m2

substituting the values of m1 and m2

x+70=5x+54

70+54=5x-x

124=4x

x=31 substituting in m2

m2=101

Now, m2+m3=180 (linear pair of angles)

101+m3=180

m3=79degree

So, the measure of angle m3 will be 79degree.

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Assuming that the y-axis tick marks will be separated by 50 (50, 100, 150, and so on). The largest value that should appear on the y-axis is 400.

Largest value:

The maximum value of a dataset is often called the maximum value (max for short), and the minimum value is often called the minimum value (or min). The difference between the maximum and minimum values, sometimes called the range, is calculated by subtracting the minimum value from the maximum value.

Researchers varied the time of the experiment to measure the activity of the enzyme on glucose-6-phosphate (substrate). This happened because the enzyme acted on glucose-6-phosphate to produce glucose and a phosphate ion (Pi).

The concentration of phosphate ions was measured in the experiment. Therefore, time is the independent variable plotted on the x-axis and phosphate ion concentration is the dependent variable plotted on the y-axis.

The measured phosphate ion concentration ranges from 0 to 355. The maximum possible value is 355, so the y-axis range must be between 0 and 400. So the maximum value on the y-axis is 400.

50 units should separate the y-axis ticks. All tick marks are evenly spaced.

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Answer:

3600 square units

Step-by-step explanation:

From inspection of the given diagram, the area of the rectangle is:

[tex]\implies \sf Area=9 \cdot 4 = 36\; units \; squared[/tex]

Given matrix:

[tex]\left[\begin{array}{rr}5&10\\-8&4\end{array}\right][/tex]

To find the area scale factor, find the absolute value of the matrix determinant:

[tex]\implies \left| \:5 \cdot 4 - 10 \cdot (-8) \right|=\left|20+80\right|=100[/tex]

Therefore, the area of the image of the rectangle under the given matrix transformation is:

[tex]\implies \sf Area=36 \cdot 100=3600\;square\;units[/tex]

The amount it would cost to paint the outside of the box is £208

From the question, we are to determine calculate how much it would cost to paint the outside of the box

To do this, we will calculate the surface area of the box

The surface area of a box is given by

S.A = 2(lw + lh + wh)

Where S.A is the surface area

l is the length

w is the width

and h is the height  

From the given information,

l = 10 cm

w = 80 cm

h = 20 cm

Thus,

S.A = 2(10×80 + 10×20 + 80×20)

S.A = 2(800 + 200 + 1600)

S.A = 2(2600)

S.A = 5200 cm²

Also, from the given information

The paint costs £0.04 per cm2

Thus,

The cost is £0.04 × 5200

= £208

Hence, the cost is £208

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Using simple mathematical operations, we know that we can have 10 different arrangements to plant 2 apple trees and 5 pear trees in a row.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.

Parentheses, Exponents, Multiplication, and Division (from Left to Right),

Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

So, we know that:

Golden delicious apple trees: 2

Bartlett pear tree: 5

Different arrangements that can be made are as follows:
2 * 5

10

Therefore, using simple mathematical operations, we know that we can have 10 different arrangements to plant 2 apple trees and 5 pear trees in a row.

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Answer:

Step-by-step explanation:

y = x/(2+x²)

2y + yx² = x

yx² - x + 2y = 0

(1±√(1-8y²))/2y

Now, 1 - 8y² ≥ 0

8y²≤1

y² ≤ 1/8

y ∈ (-1/2√2, 1/2√2)
Thanks

Categorical data can be either numeric or nonnumeric. Numeric data includes values such as integers, decimals, and percentages. Nonnumeric data includes values such as text, dates, and names.

Categorical data is a type of data that can be either numeric or nonnumeric. Numeric data includes values such as integers, decimals, and percentages, while nonnumeric data includes values such as text, dates, and names. Categorical data is often used to indicate either how much or how many of something there is. For example, a survey might ask respondents to choose between several options, such as “none,” “some,” and “many,” which are all nonnumeric values, but can still provide useful information about how much of something a respondent has. In addition, categorical data can also be numeric, such as when data is collected on the number of hours a respondent works each week. Categorical data is useful for understanding the characteristics of a population in a more qualitative way.

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The zeros of the polynomial y = 3p³ - 8p² + 4p are calculated to be 0, 2/3, and 2.

The zeros of a function, sometimes referred to as the roots or solutions, are the values of the independent variable (x) for which the function equals zero. In other words, these are the x-coordinates of the points where the graph of the function crosses the x-axis. You can get the zeros of a function by setting its value to zero and then figuring out what value(s) of x the equation needs.

For example, if the function is f(x), you would set f(x) to 0 and then find x:

For example, if the function is f(x), you would set f(x) to 0 and then find x:

f(x) = x² + 2x - 3 = 0

This equation can be written as (x-3)(x+1) = 0.

Inferring from the x-values that x - 3 = 3 or x + 1 = -1, x² + 2x - 3 = -1, 3

As a result, the zeros of the function f(x) = x² + 2x - 3 are -1 and 3.

In the issue at hand, y = 3p³ - 8p² + 4p

y = p(3p - 2)(p - 2) (p - 2)

Taking the zeros,

0 = p(3p - 2)(p - 2)

p = 0,

3p - 2 = 0,

p = 2 / 3,

p - 2 = 0, p = 2

The zeros of the polynomial or roots are (0, 2/3, and 2).

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The information provided indicates that it will take 78 minutes to load.

Time may be described in mathematics as a continuing and continuous series of events that take place one after another, from the past through the present, and into the future. The length of events or the gaps between them may be measured, compared, or even ordered using time.

If loading three and a half trucks takes 42 minutes, loading one truck will take 42 / 3.5 minutes, or 12 minutes. The time needed to load is calculated by multiplying the minutes per vehicle by 6.5. In this scenario, it would take 78 minutes to load 6 1/2 trucks (12 x 6.5). The time taken is calculated using the formula t = 12n, where n indicates the number of trucks and t is the time in minutes.

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Answer:

Step-by-step explanation:

Yes, by side 6cm, 8cm, 10cm be a right angle triangle.

explain, by pythagoras theorem,

                 (hypotenuse)^2 = (perpendicular)^2 + (base)^2

             =>    (10)^2 = (6)^2 + (8)^2

            =>      100 = 36 + 64

            =>      100 = 100

so, it is verifying the phythagoras theorem, hence it will form a right angle triangle with side 6cm, 8cm, and 10cm.

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} where \: m \: is \: slope[/tex]

(8,3)=(x1,y1)

(10,3)=(x2, y2)

Now,

[tex]m = \frac{3 - 3}{10 - 8} \\ = 0[/tex]

Answer:

yes, because there aren't other even prime numbers.

Step-by-step explanation:

2 Is the only even prime number

3 is odd

5 is odd

7 is odd

11 is odd

13 is odd

And so on

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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The probability of a senior student taking statistics or calculus is 0.82. This is calculated by adding the probability of a senior student taking statistics (0.15) and a senior student taking calculus (0.35).

p(a or b) = p(a) + p(b) - p(a and b)

p(a) = 15/100 = 0.15

p(b) = 35/100 = 0.35

p(a and b) = 15/100 = 0.15

p(a or b) = 0.15 + 0.35 - 0.15 = 0.82

The probability of a senior student taking either statistics or calculus is 0.82. This is calculated by adding the probability of a senior student taking statistics (0.15) and a senior student taking calculus (0.35) and subtracting the probability of a senior student taking both statistics and calculus (0.15). The probability of a senior student taking statistics is calculated by dividing the number of seniors taking statistics by the total number of students surveyed (15/100 = 0.15). The probability of a senior student taking calculus is calculated by dividing the number of seniors taking calculus by the total number of students surveyed (35/100 = 0.35). The probability of a senior student taking both statistics and calculus is calculated by dividing the number of seniors taking both statistics and calculus by the total number of students surveyed (15/100 = 0.15). Therefore, the probability of a senior student taking either statistics or calculus is 0.82.

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The four solutions in math include algebraic solutions, geometric solutions, numerical solutions, and analytical solutions.

1. Algebraic solutions involve solving equations with variables and operations such as addition, subtraction, multiplication, and division.

2. Geometric solutions involve visualizing shapes and solving problems related to angles, lines, and shapes.

3. Numerical solutions involve using numbers and operations such as addition, subtraction, multiplication, and division to solve problems.

4. Analytical solutions involve using logic and reasoning to solve problems. This may involve using diagrams, graphs, and other visual tools to help solve a problem.

The four solutions in math include algebraic solutions, geometric solutions, numerical solutions, and analytical solutions. Algebraic solutions involve solving equations with variables and operations, geometric solutions involve visualizing shapes and solving problems related to angles, lines, and shapes, numerical solutions involve using numbers and operations to solve problems, and analytical solutions involve using logic and reasoning to solve problems with the help of diagrams, graphs, and other visual tools.

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