Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

A linear graph is most useful when depicting piece rates as it clearly shows the continuous relationship and trend between the number of items produced and the pay received, represented by a positive, negative, or zero slope.

When depicting piece rates, which relate the payment an individual receives to the number of pieces produced or tasks completed, a linear graph or line graph is often most useful. Linear graphs effectively illustrate relationships between two variables, such as the number of items produced (on the x-axis) and the amount of money earned (on the y-axis), highlighting trends and changes over a range of values. A bar graph may be best to illustrate comparisons when showing the relationship of separate and distinct categories. However, in the context of piece rates, where there is a continuous relationship between work done and pay received, the connected data points in a line graph provide a clear visual of the rate of payment as it changes with the number of pieces.

Understanding the appearance of slopes is essential in reading graphs. A positive slope indicates an increase or upward trend in the relationship between the two variables, a negative slope represents a decrease or downward trend, and a zero slope indicates a consistent, flat relationship with no change over time.

Answer:

Step-by-step explanation:

Answer:

Scott's method is linear because the number of minutes increased by an equal number each week.

Arithmetic progressions use the linear method.

The graph proves it, by obtaining a straight line.

Step-by-step explanation:

Scott used an arithmetic progression, with a ratio of 5, that is adding 5 to the value of each previous week.

Let us call the time in minutes of each week, so the arithmetic progression is of the following linear form:

S1 = k0 = 10

S2 = k1 + 5 = 10 + 5 = 15

S3 = k2 + 5 = 15 + 5 = 20

S4 = k3 + 5 = 20 + 5 = 25

See attached chart.

Harry used a geometric progression, with a ratio of 2, that is multiplying by 2 the value of each week.

Let us call time in minutes of each week, so the geometric progression is of the following exponential form:

S1 = k0 = 10

S2 = k1 x 2 = 10 x 2 = 20

S3 = k2 x 2 = 20 x 2 = 40

S4 = k3 x 2 = 40 x 2 = 80

See attached chart.

Let's analyze the four options given:

Scott's method is linear because the number of minutes increased by an equal number each week.

True: The graph proves it, by obtaining a straight line.

Also, Arithmetic progressions use the linear method.

Harry's method is linear because the number of minutes increased by an equal factor each week.

False: The graph shows that it is not linear, a straight line is not obtained.

Both Harry and Scott's method are exponential because the number of minutes increases by an equal factor each week.

False: Scott's method is linear.

Both Harry and Scott's method are exponential because the number of minutes increases by an equal number each week.

False: Scott's method is linear.

The derivative of a constant is zero can be understood by comparing it to traveling at a constant speed, where there is no change or acceleration, hence a rate of change of 0. This is analogous to the slope of a horizontal line (representing a constant function) on a graph, which is also 0.

Using real-life quantities, one can justify that the derivative of a constant is 0 by considering the concept of speed. Imagine you are traveling in a car at a constant speed of 60 km/h. The speed does not change over time, meaning there is no rate of change or acceleration. In terms of calculus, this constant speed (constant function) has a rate of change of 0, which is its derivative.

The derivative, in a broader sense, measures the rate of change of a quantity. A constant value does not change, and hence its rate of change, or derivative, is 0. This concept can be geometrically represented as the slope of a line on a graph. A constant function graphs to a horizontal line where the slope, or rise over run, equals 0. Thus, similar to the constant speed with no change, the derivative of any constant value is always zero.

The numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The numbers are given below.

√11, -0.4, (-4/3), 0.8, √2

Convert all the numbers into decimal form, then we have

√11, -0.4, (-4/3), 0.8, √2

3.32, -0.4, -1.33, 0.8, 1.41

Then the numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.

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a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

The given expression is a sum of two cubes. The factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].

Given:

The given identity is, [tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex].

It is required to factorize [tex]8q^6r^3 + 27s^6t^3[/tex] using the given identity.

The given expression can be written in the form of sum of two cubes as,

[tex]8q^6r^3 + 27s^6t^3=2^3q^6r^3 + 3^3s^6t^3\\=(2q^2r)^3+(3s^2t)^3[/tex]

Here, a and b are [tex]2q^2r[/tex] and [tex]3s^2t[/tex] respectively.

Now, the factorization of the given expression can be one as,

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\(2q^2r)^3+(3s^2t)^3=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]

Therefore, the factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].

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The answer is

Y=x^4-6x^3 +6x^2 -6x+5

The quartic function with only two real zeroes given as; x=5 and x=1 is; x⁴ -12x³ +46x²-60x +25

With two zeroes given for a quartic equation;

The zeroes must appear twice each such that the factors of the function are;

The quartic function is therefore:

(x² -10x +25) (x² -2x +1)x⁴ -2x³ +x² -10x³ +20x² -10x + 25x² -50x +25= x⁴ -12x³ +46x²-60x +25

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Answer:

14.03

Step-by-step explanation:

I took a test

There are $14.03 get change do you get back.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

You are buying a $24.50 item that has 6% sales tax.

And, You give the cashier $40 to pay for the item.

Here, You are buying a $24.50 item that has 6% sales tax.

Hence, The amount of sales tax = 6% of $24.50

                                                  = 6/100 × $24.50

                                                  = $1.47

Thus, The amount of charge = $40 - ($24.50 + $1.47)

                                            = $40 - $25.97

                                            = $14.03

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He need $25.85 more to pay.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Charge for week = $170

earnings from leaves raking = 58.35

Earnings from snow shoving = 85.80

Total earnings = 85.80 + 58.35 = $144.15

So, he need more

=170 - 144.15

=$25.85

Hence, He need $25.85 more to pay.

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The angle sum property of a triangle states that:

Sum of three angles of a triangle is 180 degrees.

Now we are given a right angled triangle here.

The question can be described as shows in figure.

Here ABC is a triangle right angles at B.

The other angle is 58 degrees.

Using angle sum property:

∠A + ∠B +∠C =180

let ∠A = 58° and ∠B =90°

So we have ,

58° + 90° +∠C =180

148°+∠C=180°

∠C = 32°

Answer : Angle C is 32 degrees.

Option A is correct choice

In this problem, to solve for the gross profit, you have to deduct the cost of each knapsack to its selling price.

The gross profit of Jim is $3.50 ($10.50 - $7).

To compute the gross profit rate, you have to divide the gross profit ($3.50) to the cost of each knapsack ($7).

$3.50 / $7 = 0.5 or 50%

Therefore, Jim makes 50% profit on each knapsack.

11___________________________

Answer:

A, C, C

Step-by-step explanation:

Some other dude answered it. I just simplified his answer.

Final answer:

The student takes home a check of $25.94 each week after deductions and direct deposit. Of the amount direct-deposited, $38.92 is placed into a savings account weekly, resulting in $155.68 being deposited into the savings account monthly.

Explanation:

To solve the first problem, we must start by calculating the gross income for one week of work:

Next, we calculate each of the deductions from the gross income:

Now we calculate the total deductions:

The net income after deductions is:

We then determine the amount directly deposited:

The remaining paycheck given as a check each week is:

For the second question, we already know from the scenario that $77.84 is directly deposited. We just need to calculate the amount that goes into the savings account:

To find the monthly savings deposit, we assume there are 4 weeks in a month: