The value of 2^3 + 3^3 = ___.​

Based on the given information, the value of y is 5.

What is a cyclic polygon?

A cyclic polygon is a polygon that can be inscribed inside a circle in such a way that all of its vertices lie on the circumference of the circle. In other words, a cyclic polygon is a polygon that can be circumscribed by a circle.

In a polygon with n sides, the sum of its interior angles is given by the formula: (n - 2) * 180 degrees. Since this polygon is inside a circle, it must be a cyclic polygon, which means that its opposite angles add up to 180 degrees.

We are given that the opposite angles are 23y and 13y, so we can write:

23y + 13y = 180

36y = 180

y = 5

Therefore, the value of y is 5.

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Answer: yes

Step-by-step explanation:

if u substitute 7 into the x for 4x - 28 then it would be the same as 4(7), because any variable next to a number means multiplication.

hope this was an easier way for u to understand

Answer:

Yes, 7 is still a solution.

Step-by-step explanation:

We have to categorize the events based on the likelihood of their occurrence.

An event with a probability between 0.5 and 1 is likely, while an event with a probability between 0 and 0.5 is unlikely.

The first event is "picking a dime randomly from a piggy bank containing 18 dimes, 3 nickels and 2 pennies".

As the majority of the coins are dimes (18 out of 23 coins), the probability of picking a dime is high and the event is very likely to happen.

The probability is actually P = 18/23 ≈ 0.783.

The second event is "picking a brown puppy randomly from a litter with 4 white puppies, 1 brown puppy and 1 black puppy".

In this case, the probability is 1 out of 6, which is approximately 0.167. Then, this event is unlikely.

The third event is "picking a mango randomly from a bowl that holds 15 mangoes, 3 apples and 2 bananas".

This is the same case as the dimes: the mangoes are majority in the bowl, so the probability of picking one is expected to be higher than 0.5. Then, this event is likely.

The fourth event is "picking a pink ribbon randomly from a box containing 4 pink, 12 red and 4 white ribbons".

In this case, the pink ribbons are not majority and the probability of picking one is less than 0.5. Then, the event is unlikely.

We can summarize as:

Answer:

c = 45 and e = 30

Step-by-step explanation:

Since we know that A = 45, B = 90, we can calculate C knowing that the total angle of a triangle is 180, so you do 180-45-90 = 45

Finding the angle C helps us find F by subtracting 45 from 180, since a straight line is 180 degrees, which is 135.

We know that E = 15, and what was said earlier about how the toal angle is 180 in a triangle, we can subtract 15 and 135 from 180, which is 30.

Hope that answers your question

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

6x^3-5x^2

Step-by-step explanation:

(4x^3+x^2)+2(x^3-3x^2)

4x^3+x^2+2x^3-6x^2

4x^3+2x^3+x^2-6x^2

6x^3+x^2-6x^2

6x^3-5x^2

The simplest form of the given expression \((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\) is,

\(6x^{3} - 5x^{2}\).

Here, given expression is,

\((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\)

What is simplest form of equation?

The simplest form is the smallest possible equivalent fraction of the number.

Now,

Simplest form of expression,

\((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\\4x^{3} +x^{2} +2 x^{3} -6x^{2} \\6x^{3} - 5x^{2}\)

Hence, The simplest form of the given expression \((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\) is, \(6x^{3} - 5x^{2}\).

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The area of the figure is the length of one side times the length of one side.

   Area is 2 yards * 5/4 yards = 5/2 square yards

Hope that helps!

Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16

Answer:

⅛...yo pienso pq creo va de 4 en cuatro

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer: A

Just conformation

Region A is represent the solution of the given system of inequalities.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We have to solve a system of inequalities.

The first equation given is -0.5x+y ≥ 3

Which equation forms a straight line going upwards from left to right which intersects x-axis at -6.

The second equation given as 1.5x+y ≤ -1

This equation give a straight line going downwards from left to right intersecting x=axis near -1

The solution of the equations is given by the region which is overlapping, A.

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A grid that correctly graphs the points A (3, 1), B (0, 3), and C (1, 3) include the following: B. A coordinate plane has an x-axis from 0 to 5 in increments of 1 and a y-axis from 0 to 5 in increments of 1. Point A is plotted 3 units to the right and 1 unit above the origin. Point B is plotted 3 units above the origin. Point C is plotted 1 unit to the right and 3 units above the origin.

In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

Next, we would use an online graphing calculator to plot the above set of data points with a point of intersection at (2, 3) as shown in the graph attached below.

By critically observing graph B of the given set of data points, we can logically deduce that it correctly graphs the points A(3, 1), B(0, 3), and C (1, 3) as shown in the image attached below.

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Complete Question:

Which of the following grids correctly graphs the points A (3, 1), B (0, 3), and C (1, 3)?

A. A coordinate plane has an x-axis from 0 to 5 in increments of 1 and a y-axis from 0 to 5 in increments of 1. Point A is plotted 3 units to the right and 1 unit above the origin. Point B is plotted 3 units to the right of the origin. Point C is plotted 1 unit to the right and 3 units above the origin.

B. A coordinate plane has an x-axis from 0 to 5 in increments of 1 and a y-axis from 0 to 5 in increments of 1. Point A is plotted 3 units to the right and 1 unit above the origin. Point B is plotted 3 units above the origin. Point C is plotted 1 unit to the right and 3 units above the origin.

C. A coordinate plane has an x-axis from 0 to 5 in increments of 1 and a y-axis from 0 to 5 in increments of 1. Point A is plotted 1 unit to the right and 3 units above the origin. Point B is plotted 3 units above the origin. Point C is plotted 3 units to the right and 1 unit above the origin.

D. A coordinate plane has an x-axis from 0 to 5 in increments of 1 and a y-axis from 0 to 5 in increments of 1. Point A is plotted 1 unit to the right and 3 units above the origin. Point B is plotted 3 units to the right of the origin. Point C is plotted 3 units to the right and 1 unit above the origin.

Answer:

105cm

Step-by-step explanation:

please click crown below my answer.

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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e. Hourly rate = $975.84 / 38 = $25.68

f. Overtime rate = $25.68 * 1.5 = $38.52

g. Earnings (4 hours OT) = $38.52 * 4 = $154.08

h. Overtime hours = ($1226.22 - $975.84) / $38.52 ≈ 6.5 hours

Begin by determining the number of overtime hours worked by evaluating the discrepancy between his weekly salary and his regular wage:

Take note that the difference = $250.38, specifically from a calculation derived by subtracting $975.84 from $1226.22.

Next, divide this incongruity by his rate of pay for working overtime to establish the actual quantity of time augmented:

Upon performing our overall assessment with $38.52 as the hourly short-term remuneration rate towards supplementing regular pay projections, we determine roughly 6.5 additional work hours incrementally added onto one's overall timesheet.

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Answer:

$2.9

Step-by-step explanation:

You have to divide $23.20 by 8.

Answer:  36

Step-by-step explanation: If the coach wants to divide the team by the ratio of 1 to 3, then we will take 48 and divide by 4.

This leaves us with 12 x 4 = 48. Then we calculate 48 - 12 = 36

Now you have your 1 to 3 ratio with the teams being split into team 1 with 12 and team 2 with 36.

Answer:

1. x = -3

2. x = 4/3

3. x = 698/77

Step-by-step explanation:

4+2x=-2

-4       -4

2x= -6

/2     /2

x=-3

You have to get x alone on one side. Search up on yt "How to solve for x on two sides."

Answer:

1.) x = -3 2.) x = 4/3 3.) x = 698/77 or 9.1

Step-by-step explanation:

1.) 4 + 2x = -2

2x = -2 - 4

2x = -6

x = -3

2.) -1 (3x - 12) = 9x - 4

-(3x - 12) = 9x - 4

-3x + 12 = 9x - 4

-3x - 9x = -4 - 12

-12x = -16

x = 4/3

3.) x - 4 = 13 (6x - 54)

x - 4 = 78x - 702

x - 78x = -702 + 4

-77x = -698

x = 698/77 or 9.1

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Answer:

-----------------------------------

We know that the middle term of a GP is the geometric mean of the equidistant terms.

It can be shown as equation:

Solve it for positive value of x:

The x = - 2 is discarded as negative.

The terms are:

Find the common ratio:

If 8 is the third term then the 8th term is:

Answer:

First, set up equations for total cost for both Happy Paws and Woof Watchers.

x= number of hours

y= total cost

Happy Paws

y=3.50x +16

Woof Watchers

y=4.75x+11

4.75x+11=3.50x+16

x=4

You can check your answer by doing the following:

Happy Paws: (3.50)(4)+16= 30

Woof Watchers: (4.75)(4)+11= 30

The graph is vertical, and it is shown in the explanation below

The graph of the line x = -2 is a vertical graph. The graph is shown below:

Answer:

0.875 + 0.75 + 1.625

Step-by-step explanation:

or in fraction form, 1 5/8

The option B is correct because the denominator can't be zero, and x being 1 or -1 makes it zero.