what is 24divided by 2

Answer:

Gross income = $38500

Adjusted gross income = $35800

Taxable income = $13000

Step-by-step explanation:

1. Gross income = wages + interest received

Gross income = $36,300 + $2200

Gross income = $38500

2. Adjusted gross income = Gross income - adjustments

Adjusted gross income = $38500 - $2700

Adjusted gross income = $35800

3. Taxable income = adjusted income - (exemption + deductions)

Taxable income = $35800 - ($4050 + $6300 + $7800 + $2900 + $1750)

Taxable income = $35800 - $22800

Taxable income = $13000

The representations of the inequality is  an open circle is at 1 and a bold line starts at 1 and is pointing to the right.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Since our answer is x > 1.  An open circle will be at 1 and a bold line starts at 1 and is pointing to the right (>). Check the attached image.

Note: You only shade up if you have ≤ (less than or equal) or ≥ (greater than or equal).

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Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

Answer: The Width of The Rectangle = 13.5 cm

Step-by-step explanation:

Area of a right triangle = \(\frac{ab}{2}\)

(a= 9, b= 8)

= \(\frac{9\cdot 8}{2}\)

=36

______________________________

Now,

Area of a rectangle = \(36\cdot 6\)

= 216 (since the area of a rectangle is 6 times the area of the triangle)

_______________________________

(w= width, l= length= 16)

A= \(w\cdot l\)

216 = \(w\cdot 16\)

∴ w = \(\frac{216}{16}\)

= 13.5

∴ Width = 13.5

Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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Answer:

y = 5x - 23

Step-by-step explanation:

Since that is ll to y = 5x - 1, slope must be same as that of y = 5y - 1.

Compare y = 5y - 1 with y = mx + c, where m is slope.

Slope of the required line = 5.

And a point lying on that line is (4,-3). Therefore,

Equation is:

=> y - (-3) = 5(x - 4)

=> y + 3 = 5x - 20

=> y = 5x - 23

9. 3rs is a third-degree polynomial with three terms. 10. V7+ is a first-degree polynomial with one term.

A polynomial is a mathematical expression consisting of one or more terms, each containing a variable or constants and exponents. Polynomials can have any number of terms, and can be used to model a wide variety of real-world phenomena, including the area of a circle, the speed of a vehicle, and the income of a household. Polynomials can be written in a variety of forms, including standard form, factored form, expanded form, and more.

11. 7+ 3p2 is a second-degree polynomial with two terms.

12. 4wll-w12 is a third-degree polynomial with two terms.

13. 6c+2c4-c is a fourth-degree polynomial with three terms.

14. 8d2-4d3 is a third-degree polynomial with two terms.

15. 5z+223 + 324 is a second-degree polynomial with three terms.

16. #2-8+25 is a second-degree polynomial with three terms.

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Answer:

a) A. Arithmetic Sequence

b) A. Arithmetic Sequence

c) A. Arithmetic Sequence

d) A. Arithmetic Sequence

e) B. Not an arithmetic Sequence

Step-by-step explanation:

if there is a common difference it is arithmetic, if there not then it is not arithmetic.

a) d= 3

b)d=3

c)d=2

d)d=-4

e)not arithmetic

Given:

Graph of function :

Find: Expression of g(x)

Sol:

The graph move on "x" axis is 2 unit which means graph shift 2 unit in the right side .

So graph of

The graph moves upward in y-axis

So the function of graph is:

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

\(t = 5.2\ s\)

Step-by-step explanation:

Given

\(a= 12.3m/s^2\) --- acceleration

\(v = 64m/s\) --- final velocity

\(u =0m/s\) --- initial velocity (it is 0, because the car starts from rest)

Required

Determine the time taken

This will be solved using Newton's first equation of motion:

\(v = u + at\)

Substitute values for v, u and a

\(64 = 0 + 12.3*t\)

\(64 = 12.3t\)

\(12.3t = 64\)

Make t the subject

\(t = \frac{64}{12.3}\)

\(t = 5.2\ s\)

Hence, the time taken is approximately 5.2 seconds

Altitude is in a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.

In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle. It is also the side that connects the two other sides, which are called the adjacent and opposite sides.

One of the key properties of the geometric mean is that it is always less than or equal to the arithmetic mean (the regular average) of the same set of numbers, except when all the numbers are equal.

The geometric mean is used in various fields such as finance, economics, biology, and physics. It is particularly useful in situations where values are subject to compounding or exponential growth, and where small changes in values can have a significant impact over time.

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Answer:

f

Step-by-step explanation:

lt's a composition of two small functions

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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Answer:

I think its 12,570.0$$$

Step-by-step explanation:

Answer:

about 4.8 units

Step-by-step explanation:

The approximate corresponding height of the parallelogram is 4.8 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure side AB = 8.6

Coordinates of A(1, 3), B(8, 8), C(12, 5) and D(5, 0)

Now in the given triangle we will find the angle between Ab and AD to find the length of AE which is the length of the given parallelogram.

Slope m(AB) = 8-3/8-1

=5/7

Slope of AD = -3/4

tan theta = 5/7-(-3/4)/(1+5/7(-3/4))

=41/13

=3.154

Theta = tan ⁻¹(41/13)

=72.41 degrees

Now in right angle triangle ABE

sin 72.41 = DE/5

0.952=DE/5

DE= 4.8 units

Hence, the approximate corresponding height of the parallelogram is 4.8 units.

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The rule for the linear function is f(x) = (-1/2)x + 11/2

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

To write the rule for the linear function, we can start by finding the slope of the line passing through the given points (x, y):

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= (6 - 2) / (-1 - 7)

Slope= 4 / (-8)

Slope= -1/2

Therefore, the slope of the line passing through these points is -1/2.

Now, we can use the point-slope form of a linear equation to find the equation that represents this relationship:

y - y₁= m(x - x₁)

Where m is the slope and (x1, y1) is any point on the line. Let's use the point (7, 2):

y - 2 = (-1/2)(x - 7)

y - 2 = (-1/2)x + 7/2

y = (-1/2)x + 11/2

Therefore, the rule for the linear function is f(x) = (-1/2)x + 11/2

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18/24 = pink roses... 75% of the roses are pink. Lol..

Answer:

Hey! :)

Step-by-step explanation:

You could create a wave with a higher frequency on a rope by wiggling up and down at a faster rate, the wave should become shorter. Clearly you will find a relationship between wave length and frequency :)

＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊*

Have a nice day! :)

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°.

Part A:

Part B:

Part C:

Additionally, the question itself may have influenced the results, as some teenagers may have preferred to watch news on television simply because they do not regularly read newspapers.

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Answer:

B. 8d¹⁵e³f⁹

Step-by-step explanation:

When an exponent is raised to an exponent, you multiply them together.

For example, (d⁵)³ = d¹⁵

Answer:

A. 3(2x - 12) = 2(3 + 2x - 12)

B. Length = 6, width = 3

Step-by-step explanation:

l = 2x - 12

w = 3

Area = 3(2x - 12)

Perimeter = 2(3 + 2x - 12)

if A = P

3(2x - 12) = 2(3 + 2x - 12)

6x - 36 = 6 + 4x - 24

6x - 4x = 6 - 24 + 36

2x = 18

x = 9

Length = 2x - 12 = 2(9) - 12 = 18 - 12 = 6

hi,  

first let's count the marbles :  1+3+2 = 6  

so picking a red  is  1/6

                  a green is :  3/6

                    a bleu is :  2/6

The frequency table for grouped data using four classes is shown in the picture.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

We have:

A small startup company wishes to know how many hours, per week.

The number of hours for each employee are shown below:

1,2,18,4,13,18,12,3,17,10,3,12,15,2 15,8,5,17,18,18

Make the group of 1-5, 6-10, 11-15, and 16-20

And count the numbers lies between the interval.

Thus, the frequency table for grouped data using four classes is shown in the picture.

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Answer:

\(51\)

Step-by-step explanation:

\(\frac{25.5}{0.5}\)

\(\frac{255}{5}\)

\(=51\)

The effect that will removing all outliers have on the mean and median of the data set is; C. median will remain unchanged and the mean will increase.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The Median represents the middle value of the given data when arranged in a particular order.

WE have been given boxplot that displays the average number of apple pies consumed in eating contests across a particular state.

The higher outlier is from a professional,the heavyweight contest, and the lower outlier is from a children's eating contest.

The effect that will removing all outliers have on the mean and median of the data set is; C. median will remain unchanged and the mean will increase.

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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