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Fill in each answer box so that the resulting statement is true.

The given two triangles are similar to each other by the postulate called SAS.

What is triangle ?

Triangle can be defined as in which it consists of three sides, three angles and sum of the three angles are 180 degrees always.

Given,

The triangles are RST and UVT

So

From the given figure we can say that,

RT = TU

RS = VU

As two sides are already equal and vertically opposite angles are always equal .

so we can say that By postulates SAS we can say that they are similar to each other.

Hence, The given two triangles are similar to each other by the postulate called SAS.

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On a variable ratio schedule, reinforcement is given for the next correct response after varying numbers of responses have been made.

What is variable ?

A variable is a value or quantity that can change or take on different values in a given context or system. In mathematics and science, variables are often used to represent unknown or changing values in an equation or model. In programming, a variable is a named container or storage location that holds a value that can be modified during the execution of a program.

On a variable ratio schedule, reinforcement is given for the group of correct responses that occur after varying amounts of time have passed. This means that the reinforcement is not given after a fixed number of responses or after a fixed amount of time has passed. Instead, the reinforcement is given after a varying number of correct responses have been made, making it unpredictable for the individual or organism being reinforced. This type of schedule is often used in gambling and other situations where the reinforcement is desired to be unpredictable and maintain the individual's interest or motivation.

On a variable ratio schedule, reinforcement is given for the next correct response after varying numbers of responses have been made.

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A meta-analysis is a statistical method for combining the findings average of several research to find overarching trends in the studies as a whole.

A statistical method known as meta-analysis is used to aggregate data from various research in order to find overall trends across all of the investigations. Finding patterns in research that have been carried out using various methods and in various contexts is a specialty of this strategy. Researchers can determine the overall impact of a specific intervention or treatment by performing a meta-analysis, which combines the findings of various studies into a single effect size or summary statistic. This method is employed in a variety of fields, such as psychology, education, and medicine. Meta-analysis is an effective method that may be used to pinpoint larger study trends and to bolster the body of evidence supporting any given hypothesis or course of action.

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The cost per ounce of a container of gochujang at the market can be calculated using the equation of the line of best fit.

The line of best fit is given by the equation y = 0.14x + 1.3, where y is the cost of the container and x is the amount of sauce in the container (in ounces). To calculate the approximate cost per ounce of a container of gochujang, we can use this equation. We set y = 1, since we want the cost of one ounce of sauce. The equation of this line is y = 0.25x + 3.2, where x is the amount of sauce in the container and y is the cost of the container. To find the cost per ounce, we need to divide the y-intercept, 3.2, by the slope, 0.25. This gives us 12.8. Therefore, the approximate cost per ounce of a container of gochujang at the market is $12.8.

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B.The first class’s histogram has greater spread (variability) since it is derived from a smaller number of tosses per student.

The question is asking which statement is true regarding the two histograms of -values. The first class has 250 students and they are each instructed to toss a coin 20 times. The second class has 200 students and they are told to toss a coin 40 times. The first class is tossing the coin less times than the second class, so the spread (variability) is greater for the first histogram since it is derived from a smaller number of tosses per student.

The first class has 250 students and they are each instructed to toss a coin 20 times. The second class has 200 students and they are told to toss a coin 40 times.

The first class is tossing the coin less times than the second class, so the spread (variability) is greater for the first histogram since it is derived from a smaller number of tosses per student.

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He has 255.17 more in debits than in credits. Thus, option D is correct.

Debits and credits in double-entry bookkeeping are entries made in account ledgers to reflect changes in value brought on by business transactions. A debit entry, not a credit entry, is used to show the amount of money that has been transferred into or out of an account. Value is exchanged with each transaction from credited to debited accounts.

Let's call B the amount in credit that Ignatius had, and C the amount in debits that Ignatius had during the month.

We know that the initial amount in his account was 124.82, while the final balance was 659.27.

Final amount = the initial amount + amount of credits - the amount of debits

$255.17= $255.17 (B-C)

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The total cost function C is  T(x) =  0.000001x³ - 0.03x² + 200x + 15,000, the total profit function P is P(x) = 0.000001x³ - 0.01x² + 50x + 15,000 and the profit for the company if 1,900 units are produced and sold each week is $80,759

The term function in math is  written as  a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we have given that the division of Chapman Corporation manufactures a pager.

Here we also know that the weekly fixed cost for the division is $15,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x).

Then the function is written as,

=> V(x)= 0.000001x³ - 0.01x² + 50x.

Here we have given that company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x).

Then the function is written as,

=> R(x)= -0.02x² + 150x Where the value of x lies between (0<x<7500)

Then the total cost is calculated as,

=> T(x) = Total Cost + fixed cost + variable cost

Then apply the values on it, then we get,

=> T(x) = 15,000 + 0.000001x³ - 0.01x² + 50x - 0.02x² + 150x

=> T(x) =  0.000001x³ - 0.03x² + 200x + 15,000

And the total profit function is written as,

=> P(x) = 0.000001x³ - 0.03x² + 200x + 15,000 - (-0.02x² + 150x)

=> P(x) = 0.000001x³ - 0.01x² + 50x + 15,000

If the is the profit for the company if 1,900 units are produced and sold each week, then the profit is calculated as,

=> P(1900) = 0.000001(1900)³ - 0.01(1900)² + 50(1900) + 15,000

=> P(1900) = 80759

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Answer:

6% = $4000

Step-by-step explanation:

6%x + 7%(8500 - x) [tex]\geq[/tex] 555

0.06x + 0.07(8500 - x) [tex]\geq[/tex] 555

0.06x + 595 - 0.07x [tex]\geq[/tex] 555

-0.01x + 595 [tex]\geq[/tex] 555

-0.01x [tex]\geq[/tex] -40

x [tex]\leq[/tex] 4000

Answer:

3/20

Step-by-step explanation:

3/20 is .15 in the simplest fraction form

In the 30-60-90 triangle below, side s has a length of 4 and side q has a length of [tex]4\sqrt{3}[/tex] (Option E).

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem. The Pythagorean Theorem says (hypotenuse)²= (leg1)²+(leg2)². And the main trigonometric ratios are: sin (x) , cos  (x) and tan  (x) .

The question asks the value of sides s and q of the given right triangle. If you have the value of the hypotenuse and all angles of the triangle, you can solve this exercise by applying the trigonometric ratios. See below.

[tex]sin 30\° = \frac{opposite \; leg}{hypotenuse}\\ \\ \frac{1}{2}=\frac{s}{8} \\ \\ 2s=8\\ \\ s=4[/tex]

[tex]cos 30\° = \frac{adjacent\; leg}{hypotenuse}\\ \\ \frac{\sqrt{3} }{2}=\frac{q}{8} \\ \\ 2q=8\sqrt{3} \\ \\ q=4\sqrt{3}[/tex]

Therefore, the solution to this question is the letter E.

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The equation of the plane is:-6x + 0y + 6z - 18 = 0

The equation of a plane containing a point P(x1, y1, z1) and a line defined by x = x0 + at, y = y0 + bt, z = z0 + ct, is given by:

Ax + By + Cz + D = 0

Where:

A = (y1 - y0)a - (x1 - x0)b

B = (z1 - z0)a - (x1 - x0)c

C = (z1 - z0)b - (y1 - y0)c

D = -(A*x1 + B*y1 + C*z1)

Plugging in the given values, we have:

A = (1 - 5)3 - (1 - 3)5 = -6

B = (3 - 1)3 - (1 - 3)2 = 0

C = (3 - 1)5 - (1 - 5)2 = 6

D = -(-6*1 + 0*1 + 6*3) = -18

Therefore, the equation of the plane is:

-6x + 0y + 6z - 18 = 0

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A statement, rule, or legislation that establishes the link between the independent variable and the dependent variable (the dependent variable). f ( 6 ) = 82 .

Domain of [tex]$2 x^2+5 \sqrt{x-2}:\left[\begin{array}{cc}\text { Solution: } & x \geq 2 \\ \text { Interval Notation: } & {[2, \infty)}\end{array}\right]$[/tex]

Range of [tex]$2 x^2+5 \sqrt{x-2}:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq 8 \\ \text { Interval Notation: } & {[8, \infty)}\end{array}\right]$[/tex]

Interception zones on the axis [tex]$2 x^2+5 \sqrt{x-2}$[/tex] : None .

Asymptotes of [tex]$2 x^2+5 \sqrt{x-2}$[/tex] : None .

Points of Extremity [tex]$2 x^2+5 \sqrt{x-2}$[/tex] : Minimum (2,8) .

[tex]f(x) = 2x^{2} +5\sqrt{(x-2} \\f (6) = 2 *(6^{2} ) + \sqrt{6 - 2} \\ = 82[/tex]

the type of conduct or activity appropriate to a person, thing, or institution; the reason why something is made or existing; role. any formal event or occasion that is held in public or among friends. a component that affects or is influenced by other components: Availability and demand determine price.

As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. Each function has a range or codomain. f(x), where x is the input, is a common way to refer to a function.

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The correct answer is D. the proportion of boxes with broken glass is greater than 0.08.

The p-value is 0.001 which is less than the significance level of α = 0.01; therefore, the null hypothesis (H0: p = 0.08) can be rejected. We can conclude that there is convincing evidence that the proportion of all boxes that contain broken glass is greater than 0.08.

To calculate the p-value, we can use the formula: p-value = P(x ≥ X|H0)

Where X is the sample mean, and H0 is the null hypothesis that the proportion of boxes with broken glass is equal to 0.08.

Using this formula, we get: p-value = P(x ≥X|H0) = P(x ≥ 0.08) = 0.001

Since the p-value is less than the significance level of 0.01, the null hypothesis can be rejected and we can conclude that there is convincing evidence that the proportion of boxes with broken glass is greater than 0.08.

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Answer:

1st and 2nd ones

Step-by-step explanation:

39 + 3(17) = 90 degrees

Supplementary angles add up to 180

The binomial distribution has one possible outcome, success, and two possible outcomes, failure. In contrast, the Poisson distribution has an infinite number of potential outcomes.

The distribution of binary data from a finite sample is described by the binomial distribution. As a result, it provides the likelihood that r events will occur in n trials. The distribution of binary data from an infinite sample is described by the Poisson distribution. It provides the likelihood that r events will occur in a population. Two discrete probability distributions are the Poisson distribution and the Binomial distribution.

In discrete trials, the binomial distribution counts discrete occurrences. In a continuous domain, the poisson distribution counts discrete occurrences. The poisson should ideally only be used when success could happen anywhere in a domain.

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The artist needs 78,835.2 cm² of metal to make the sculpture.

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The trigonometric function that represent the equation in the graph is y = sin(x + π/2).

The key components visible on the graph are:

y = π/2  is the midpoint.

We can conclude that the correct answer is either b or d.

at x = 0, f(x) = 0.

Function y = sin(x + π/2)

Therefore the correct answer is option d that is y = sin(x + /2) is the trigonometric function that represents the equation in the graph.

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The value that Daniela got is wrong because she should have divided through by 3 to get x instead of subtracting

We have y = 3x + b

We are to find the value of x from the equation that we have above

But first we are to take the other terms to one part of the equation so that x can stand on its own

3x = y - b

divide through the equation by 3

3x / 3 = y - b / 3

x = y - b / 3

This is the solution Daniela should have gotten

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the star of the mentioned, figure is attached below.

What is a star?

A polygon, which is a form with many sides, is a type of star. In fact, five-pointed stars are categorised as decagons or polygons with ten sides, although the number of sides changes depending on the number of points on the star, such as six, ten, etc. An equilateral and equiangular polygon that self-intersects is referred to as a regular star shape or regular star polygon. It was made by connecting the vertices of a straightforward, regular, n-sided polygon to one another in a nonadjacent direction until the original vertices were once again reached.

How are stars with five points made?

All stars are formed by lines at particular angles. The basic pattern is as follows in the case of five-pointed stars, which are the most prevalent:

Use lines of the same length and rotate 135° each time.

Hence the star of the mentioned figure is attached below.

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Answer: (-2) + 22 + (-30) = (-10)

Step-by-step explanation:

I'm not too sure, I hope this works

We can see that height is the dependent variable and age is independent.

Therefore the graph of the relation, if connected, is a line segment parallel to the x-axis.

If we prove it with the vertical line test it will pass the test. Hence we can state it is a function.

The domain is:

The range is:

Answer: 4(u−2)−3u=2(u−6)

Step-by-step explanation:

Answer: yes

Step-by-step explanation: because it will stay the same

Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

The circumference of the circle is equal to the sum of the 3 sides of the triangle, multiplied by pi. The formula for the circumference is:

The circumference of the circle circumscribing an isosceles triangle with two congruent angles of degree measure x can be calculated using the above formula. The formula takes into account the two congruent angles of the triangle, which have a degree measure of x, as well as the third side of the triangle.

The circumference of the circle is then calculated by multiplying the sum of the three sides of the triangle by pi.

This formula allows us to calculate the circumference of the circle regardless of the size of the triangle or the degree measure of the two congruent angles.

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The amount of square inches of the log that the furniture maker sanded in terms of π is; 288π in²

The formula for volume of a cylinder is;

V = πr²h

where;

V is volume

h is height

r is radius

Now, we have the parameters as;

r = 2 in

V = 96π in³

Thus;

96π = π(2)²h

h = 96/4

h = 24 in

Formula for surface area of a cylinder is;

S.A =  2πr²h +  2πrh

S.A = 2(π(2)²*24) + 2(π * 2 * 24)

S.A = 192π + 96π

S.A = 288π in²

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The value of the variable is; x = π³ - π/π

Algebraic expressions are described as mathematical expressions that are comprised of variables, factors, constants, terms and coefficients.

These algebraic expressions are also comprised of arithmetic operations, such are; Division

Multiplication, Subtraction, Floor division, Addition, Bracket, Parentheses

From the given information, we have that;

y = π³

y = πx + π

Substitute the values, we have;

π³ =  πx + π

Collect like terms

π³ - π = πx

Divide both sides by the coefficient of x

x = π³ - π/π

Thus, the value is x = π³ - π/π

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