Please do step by step please hurry quickly
m∠ABC=​(8x−48​)°​, m∠ABD=44°

The scatter plot of the data is negative association.

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

1. Given the relationship between the number of employees working registers and the amount of time customers waited in line to order as,

y = -70x + 300

When x = 0, y = 300

When x = 1, y = 230

When x = 2, y = 160

.........................

So the value of y is decreasing as the value of x increases.

This is a negative association.

2. y = 90 seconds

-70x + 300 = 90

-70x = -210

x = 3

3. y = 3.5 minutes = 210 seconds

-70x + 300 = 210

-70x = -90

x = 9/7 = 1.3

There may be two employees working.

4. x = 4

y = (-70 × 4) + 300

  = 20

Hence the given scatterplot is a negative association and the value of x and y can be calculated using the trend line equation.

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Using mathematical operations, John earned 2320 shillings in a week, Peter earned 2400 shillings in a week. Peter earned 80 shillings more than John.

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. Scalars in MATALB can be multiplied, divided, added to, subtracted from, multiplied by, and have exponents applied to them. These operators can be used to arrange calculations involving vectors and matrices in a straightforward manner.

As per question,

John earns,

1340 per week and 10% on sales over 40,000 shillings

⇒ 1340 + (49800 - 40000) × 0.10

⇒ 2320 shillings

John earned 2320 shillings in a week

Peter earns,

43 hours at a basic rate of 48 shillings per hour

On Friday and Saturday, he worked over - time for 2 hours,

pay for Friday = 72 shillings,

pay for Saturday = 96 shillings

⇒ 43 × 48 + 72 × 2 + 96 × 2

⇒ 2400 shillings

Peter earned 2400 shillings in a week

Difference = 2400 shillings - 2320 shillings = 80

As we can observe that Peter earned 80 shillings more than John.

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1) Complementary

2) Supplementary

3) Adjacent

4) Linear Pair

5) Vertical

Answer: The solution to the system of equations is x = 7 and y = -2.

Step-by-step explanation:

The system of equations can be solved using substitution method.

First, solve one of the equations for one of the variables. For example, from the first equation, we can solve for x:

x = (-39 - y)/6

Substitute this value of x into the second equation:

3((-39 - y)/6) + 2y = -15

Solve the resulting equation for y:

-13 - y/2 + 2y = -15

y = -2

Substitute this value of y back into the equation we used to solve for x:

x = (-39 - (-2))/6

x = 7

The solution to the system of equations is x = 7 and y = -2.

The correct statements about the synthetic division are C, D, F.

Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1 and is generally used to find the zeroes of polynomials.

How to illustrate the information?

It should be noted that 4x² - 17x - 15 will be:

= 4x² - 20x - 3x - 15

= (x - 5)(4x + 3)

The roots of the polynomial will be:

= f(x) = 0

(x - 5) = 0

x = 5

4x + 3 = 0

x = -3/4

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Answer:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain:(−∞,∞),{x|x∈R}Range: (−∞,∞),{y|y∈R}

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

using the identity

• 1 + cot²x = csc²x

given

2(csc²Θ - cot²Θ )

= 2(1 + cot²Θ - cot²Θ)

= 2(1)

= 2

The line which contains the points (4,0) and (0,-2), value of y when x =3 is,  -1/2

The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ =  y₂-y₁/x₂-x₁(x-x₁).

Given that,

The points, (4,0) and (0,-2)

Equation of line for given two points,

y-y₁ =  y₂-y₁/x₂-x₁(x-x₁)

y-0 =  -2 - 0/0-4(x-4)

y = 1/2(x - 4)

2y = x - 4

when x = 3,

y =  1/2(3 - 4)

y = - 1/2

Hence, the value of y is -1/2

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True.

Dividing the questions into sections, such as "Mendelian Genetics and Probability," "Pedigrees," and "Chi-Square Statistics," and progressing from basic to more advanced questions can help students develop their understanding of the genetics of sickle cell disease and its relationship to malaria resistance by building on their prior knowledge and gradually increasing the difficulty of the material.

Breaking down the questions into different sections and organizing them in a way that starts with basic concepts and gradually becomes more challenging is an effective teaching method. This allows students to build on their existing knowledge and gradually gain a deeper understanding of the topic at hand, in this case, the genetics of sickle cell disease and its relationship to malaria resistance.

This approach can help students to better absorb and retain the information, making it easier for them to apply their knowledge to new and more complex problems.

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The graph of the equation x + 2 y = 4 has been obtained.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

To graph an equation, we first need to calculate some points satisfying the equation.

We are given the equation: x + 2 y = 4

First we will find some points:

x        0        4        2

y        2        0        1

Now, we will plot these points on the graph as shown in the image.

Therefore, the graph of the equation x + 2 y = 4 has been obtained.

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The value of the given logarithm log(750) = 2.875.

A logarithm is the power to which a number must be raised in order to get some other number.

A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.The common logarithm is also called the base 10 logarithms. It is represented as log10 or simply log

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The minimum number of telephone calls needed so that all of secret agents know everything is 28.

The number of secret agents = 16 (i.s even)

So

The minimum number of calls required can be determined by( 2N - 4)

 n represents the number of agents

Now find the number of minimum calls:

The minimum number of calls = ( 2(16) - 4 )

The minimum number of calls = ( 28 )

So in a situation where there are 16 secret operatives, each of whom is aware of a different piece of secret data. They can call each other and exchange all of the information they have. They both know everything they need to be known before the phone call; the minimum number of telephone calls needed is 28.

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The y-intercept of the line of best fit is the point at which the line crosses the y-axis.

The y-intercept of the line of best fit is -0.45.

The slope of the line of best fit is 0.81.

The equation of the line of best fit is y = 0.81x - 0.45.

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No, 2 is a number, not an algebraic expression.

Thus, No, 2 is a number, not an algebraic expression. An algebraic expression is a combination of numbers, variables, and mathematical operations (such as +, -, x, /) that can be evaluated to a single numerical value. Examples of algebraic expressions include 2x + 3 and 4y - 7.

Algebraic expressions can also contain exponents and roots, and can be combined using arithmetic operations. Algebraic expressions are used in many mathematical and scientific fields, and are fundamental to understanding advanced mathematical concepts such as algebra, calculus and more.

Therefore, No, 2 is a number, not an algebraic expression.

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2(-3x+4)=5x+2

1. distribute..

2*-3x=-6x

2*4=8

-6x+8=5x+2

2. subtract from both sides...

8-8=0

8-2=-6

-6x=5x-8

5x-5x=0

3. simplify...

-6x-5x-6x-5x-6x-5x=-11x

4. divide from both sides...

-11x=-6

-11x-11=0

-6/-11...

5. your result/answer

x=6/11

I hope this helps you!!

Answer:

1.8

Hope this is helpful!!!!!!!!!

The constant of proportionality is 4.75 and it is the amount earned from each bracelet

From the question, we have the following parameters that can be used in our computation:

y = 4.75x

A linear equation represented as y = mx has its constant to be m

This means that the constant of the equation is 4,75

The constant of proportionality represent the amount earned from each bracelet in the context of the problem

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The constant of proportionality is 4.75 and it represents the amount of money, in dollars, that Liv earns for every bracelet she sells. .

The constant of proportionality is represented by a symbol, such as k, and can be used to write an equation for a proportional relationship, such as y = kx, where y and x are the two variables and k is the constant of proportionality.

Therefore, the constant of proportionality in the equation y = 4.75x is 4.75. It represents the amount of money, in dollars, that Liv earns for every bracelet she sells.

In other words, it is the ratio of the amount of money earned to the number of bracelets sold.

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The formula for a function that has vertical asymptotes is x=5 and x=8 and horizontal asymptote y=5 is f(x)=(5x²)/(x²-13x+40)

In order to find a function that fits the criteria given, you need to know how to find the asymptotes in the first place.

Vertical Asymptotes: we set the denominator equal to 0 and solve for x

Horizontal Asymptotes: we compare the degree of the numerator and denominator; if the degrees are equal, the HA equals the ratio of the leading coefficients, which is the case for this question

For the vertical asymptotes, if x = 8 and x = 5, then we can write the factors as (x - 8) and (x - 5).

For the horizontal asymptotes, if y = 5, the degree of the numerator and denominator are equal so the ratio of the leading coefficients must be 5/1.

f(x) = (5x²) / [(x-8)(x-5)]  which can be rewritten as f(x) = (5x²) / (x2-13x+40)

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After 5 seconds, the height will be about 65.5 feet.

One way to predict the height after 5 seconds is to use the equation of the line of best fit. The line of best fit is a line that best represents the relationship between the x and y values in the table.

To find the equation of the line of best fit, we can use the Least Squares Method.

Using the least squares method, we can calculate the slope of the line which is m=12.5, and the y-intercept which is b=3.

Therefore, the equation of the line of best fit is: y = mx + b

y = 12.5x + 3

We can use this equation to predict the height after 5 seconds by substituting x = 5 into the equation:

y = 12.5(5) + 3

y = 62.5 + 3

y = 65.5

So, after 5 seconds, the height will be about 65.5 feet.

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Based on properties of quadrilaterals we can say Shawndra is correct.

A rectangle is a type of quadrilateral that has four right angles (90 degrees) and opposite sides that are equal in length. A square is a special type of rectangle, which is a rectangle with four congruent sides.

A trapezoid is a quadrilateral with one pair of parallel sides. A rectangle cannot be a trapezoid because a trapezoid does not have to have opposite sides that are congruent.

A square is a rectangle, but all rectangles are not squares. A square is a special type of rectangle, which is a rectangle with four congruent sides.

In summary, it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle. Thus, Shawndra is correct.

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The cash coverage ratio of Skylar's Bed and Breakfast is 18.63

The cash coverage ratio is a measure of a company's ability to meet its short-term financial obligations. It is calculated as the ratio of earnings before interest and taxes (EBIT) to interest expense.

To calculate the cash coverage ratio, we need to first calculate EBIT. Since we know that EBIT is equal to 24 percent of sales and the total asset turnover rate is 1.02, we can use that information to calculate sales:

Total assets = 126,500

Depreciation = 3,500

Interest = 1,850

Total assets + depreciation + interest = 126,500 + 3,500 + 1,850 = 132,850

Sales = Total assets / Total asset turnover rate = 126,500 / 1.02 = 124,019.608

EBIT = 24 percent of sales = 24/100 * 124,019.608 = 29,764.7059

Now we can calculate the cash coverage ratio:

Cash coverage ratio = EBIT / Interest = 29,764.7059 / 1,850 = 16.08

So the cash coverage ratio is 16.14, which means that the company's EBIT is 16.14 times greater than its interest expenses, indicating a strong ability to meet its short-term financial obligations.

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Answer: 3

Step-by-step explanation: if there are 30 students and 1 out of 10 like red then it’s 3 because there are 3 groups of ten in 30 so 3 out of 3 will like red

Answer:

3

Step-by-step explanation:

let x = # of students who like red

x/30 = 1/10    cross multiply to solve for x

10x = 30

x = 30/10 = 3

We can use the distance formula d=((x2 - x1)² + (y2 - y1)²) to find the distance between the two points.

The total movement of an object, independent of direction, is its distance.

The amount of space that an object has traveled, regardless of where it started or ended, is referred to as distance.

We can determine an object's actual size by learning how far it is from us.

The area that an object occupies in the sky can be measured.

The distance to an object is then necessary to calculate its real size.

A thing appears smaller the farther it is away.

The length of the line segment bridging two points on a planar is known as the distance between both points.

d=((x2 - x1)² + (y2 - y1)²) is a popular method for determining the distance between two points.

Therefore, we can use the distance formula d=((x2 - x1)² + (y2 - y1)²) to find the distance between the two points.

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Answer: i thin k its called a CHORD

Step-by-step explanation:

Probability to find a number odd or at most 16,

P(odd or at most 16) = 7/18

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given sample

Number 1 - 72

There are 36 odd numbers in between 1 to 72

Probability to find odd numbers P(odd) = 36/72 = 1/2

There are 16 numbers at most 16

Probability to find at most 16 P(at most 16)= 16/72 = 2/9

P(odd or at most 16) = P(odd) + P(at most 16) - P(odd and at most 16)

                                 = 1/2 + 2/9 - (1/2 × 2/9)

                                 = 1/2 + 2/9 - 2/18

                                 = (9 + 4 - 2)/18

                                 = 7/18

Hence, 7/18 is probability to find a number odd or at most 16.

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Contradictions, also referred to as No Solution Equations, are the final category of equations.

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When the triangle ABC is rotated 180 degrees around the origin, the length of A'C' is 3 units.

The angle of rotation is a unit of measurement in mathematics that expresses the angle at which a figure is rotated around a fixed point, frequently the center of a circle. A rotation of 310 degrees can also be referred to as a rotation of -50 degrees because a clockwise rotation is regarded as a negative rotation. A rotation is a transformation in which every point of a figure is turned through a predetermined angle and in a predetermined direction around a fixed point. The fixed point is referred to as the rotational center. The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.

Here,

Rotating the triangle doesn't change the length of its sides.

So, length of AC=length of A'C'

length of AC=3 units

length of A'C'=3 units

The length of A'C' is 3 units when the triangle ABC is rotated 180° about the origin.

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Answer:

The answer is 5.29 or the longer answer is 5.29150262

Find the Lowest Common Multiple (LCM) between the denominators as the first step. Step 2: Multiply each fraction's numerator and denominator by a certain amount to give them the LCM as their new denominator. Step 3: Change the denominator but add or subtract the numerators.

Fractions with Differing Numerators: Adding and Subtracting Fractions:

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Answer:

x=-64/5 and y=24/5

Step-by-step explanation:

1/2 x+3y=8 --------(i)

x+y=-8------------(ii)

from equation (ii), y=-8-x -------(iii)

substitute (iii) into (i)

1/2 x +3(-8-x)=8

1/2 x-24-3x=8

-5/2 x -24=8

-5/2 x= 8+24

-5/2 x= 32

-5x= 64

x=64/-5= -64/5

substitute x into (iii)

y=-8-(-64/5)

y= -8+64/5

y=(-40+64)/5

y=24/5

Answer:

4

Step-by-step explanation: