What is the value of 4 x minus 7 when x = 4?191623

Answer:

It's an Irregular Quadrilateral

Step-by-step explanation:

It has 4 sides and the length of the sides of the Quadrilateral is not equal. This makes it irregular.

Answer:

Irregular Polygons

Step-by-step explanation:

Let's us first learn the definition of a polygon. A polygon is a closed shape figure that has a minimum of three sides and three vertices. The term ‘poly’ means ‘many’ and ‘gon’ means ‘angle’. Thus, polygons have many angles. The perimeter and area of polygon depend upon its types.

The classification of polygons is described based on the numbers of sides and vertices. For example, a polygon as four sides and four angles, then it is quadrilateral. The polygons up to 12 sides are the important ones. We are going to learn here polygon’s types based on the number of sides of the closed figure along with examples and diagrams.

Polygons are classified into various types based on the number of sides and measures of the angles. They are:

In a regular polygon, all the sides of the polygon are equal, and all the interior angles are the same. For example, a regular hexagon has six equal sides, and all its interior angles measure to 120 degrees.

A polygon with an irregular shape. It means the sides and angles of the polygon are not equal.

In a convex polygon, the measure of the interior angle is less than 180 degrees. It is exactly opposite to the concave polygon. The vertices of a convex polygon are always outwards

In a concave polygon, at least one angle measures more than 180 degrees. The vertices of a concave polygon are inwards as well as outwards.

Trigons are polygons who have three sides. They are nothing but triangles. These trigons or triangles are further classified into different categories, such as:

Quadrilateral polygon is also called a four-sided polygon or a quadrangle. The different types of the quadrilateral polygon are square, rectangle, rhombus and parallelogram.

The five-sided polygon is called pentagon polygon. When all the five sides of the polygon are equal in length, then it is called regular pentagon otherwise irregular pentagon.

Another type of polygon is the hexagon which has 6 sides and 6 vertices. A regular hexagon will have equal 6 sides and all its interior and exterior angles also measure equals.

The polygons whose all the sides are equal are called equilateral polygons, for example, an equilateral triangle, a square, etc.

The polygons whose all the interior angles are equal such as a rectangle are called equiangular polygons.

Solution:

Let's simplify each inequality one by one.

This means that...

Hoped this helped!

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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\(x \leqslant cy + D\)

Subtract sides D

\(x - D \leqslant cy + D - D\)

\(x - D \leqslant cy\)

Divide sides by c

\( \frac{x - D }{c} \leqslant \frac{cy}{c} \\ \)

\( \frac{x -D}{c} \leqslant y \\ \)

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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The statement -

"If there is {b} ounces of water in a bottle, than (b + 5) would represent the amount of water left in the bottle after you drink 5 ounces" in option 2, cannot be represented with the help of the function given.

An function in mathematics defines a relationship between one variable (the independent variable, {x})  and another variable (the dependent variable, {y}). Example -

y = f{x} = ax + b

Given is a function as -

y{b} = b + 5

The statement that cannot be represented with the help of this function is  given below -

Therefore, the statement "If there is {b} ounces of water in a bottle, than (b + 5) would represent the amount of water left in the bottle after you drink 5 ounces" cannot be represented with the help of the function given.

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The strength of binding between an inhibitor and an enzyme can depend on several factors, including molecular geometry and charges.

In this case, it is likely that the structure of the inhibitor allows it to fit more snugly into the active site of the enzyme, forming more extensive hydrogen bonds and other non-covalent interactions with the amino acid residues of the enzyme. Additionally, the inhibitor may have specific charge interactions with residues in the active site that are not present with the natural substrate. These interactions can increase the binding energy between the inhibitor and the enzyme, resulting in a stronger binding affinity than that between the substrate and the enzyme.

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Answer:

None of the answer options are correct

Step-by-step explanation:

cs + rh = w

cs = w - rh

s = (w - rh)/c

The second one could be corrected by exchanging c with 1/c

The last one would be correct with judiciously applied parentheses.

The first and third have too many errors to even bother trying to correct.

answer could also be written

s = w/c - rh/c  

but it is not considered reduced form.

9514 1404 393

Answer:

  (d)  s = (w − rh)/c

Step-by-step explanation:

Undo what is done to the variable. It is multiplied by c and rh is added to that product.

  cs +rh = w . . . . . given

  cs = w -rh . . . . . undo the addition of rh: add -rh to both sides

  s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c

_____

Additional comment

Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.

  \(s=\dfrac{w-rh}{c}\)

Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3

-3,4 and 5,8

8-4=4

5- -3 =8

Answer is A basically

The required solution of the given expression is -9.

A straight line with numbers placed at equal intervals or segments along its length. Number line is a straight line with a "zero" point in the middle, with positive and negative numbers listed on either side of zero and going on indefinitely.

Given:

The given expression is

-2-(+7)

According to given question we have

Number line is a line with 0 in the middle, and then increasing positive numbers to the right of the 0 and decreasing negative numbers to the left of the 0. The line is infinite in length and it's not possible to show the whole line, but we will illustrate where on the line 9 and -9 are located.

-2-(+7)

=-2-7

=-9

Therefore, the required solution of the given expression is -9.

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

a) \(153^{\frac{1}{4} }\)

b) \(2x^{\frac{5}{3} }y^{\frac{7}{3} }\)

A radical sign can be rewritten as an exponent of 1/n, where n is the number next to the radical sign, or two if no number is present.

Hope it helps :)

The expression to be added is 9mn +3m² - 12n²

These are expressions having terms, variables, coefficients, factors and constants.

They are also known to be composed of arithmetic operations, such as;

From the information given, we have the expression;

-7 mm + 2m ²+ 3n²

To make it up to 5m² +2mn-9n²., we have

-7mn + 9mn + 2m² + 3m² + 3n² - 12n²

Hence, the expression is 9mn +3m² - 12n²

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The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

(0,2)

(3,0)

Step-by-step explanation:

1.67 pounds flour we get per dollar.

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

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Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer: either a or b

Step-by-step explanation:

Answer:

A) 12 / 13

Step-by-step explanation:

The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.

Answer:

a. The present value of these receivables is $42,123.64

b. The total value at the end of 10 years is $69,257.02

c. The present value of these payments is $10,059.37

Step-by-step explanation:

Using it's definition, to go from term to term in arithmetic sequences, you add the same value.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

Hence, from the definition above, to go from term to term in arithmetic sequences, you add the same value.

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Step-by-step explanation:

i think 2 because the 10 could be divided by 5

which would give you

r ^2 + 2

1. 2

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Step-by-step explanation:

125 = 135, 75, 145, 85

200= 210, 160, 220, 160

575= 585, 565, 595, 535

800= 810, 750, 820, 760

950= 960, 900, 970, 910

 A function that transforms one function or graph into another, typically related function or graph is referred to as a function in mathematics.

For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the parabola's general form remains the same.

What is the translational equation?

The translation equation or formula is written as g(x) = f(x+k) + C.

Replace "x" in a function with "x-h" to translate it horizontally.

The graph's left or right shift is determined by the value of the variable "h."

Since h = -4 in our example, the graph moves 4 units to the left.

Add 'k' to the end of a function to translate it vertically.

f(x+k) + C.

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Answer:

Step-by-step explanation:

Let r be the cost of one ride ticket, and let d be the cost of one drink ticket.

Then we can write the following system of equations to represent the situation:

For Carlos:

6r + 3d = 21.75

For Juan:

10r + 6d = 39.50

In the first equation, 6r represents the cost of 6 ride tickets and 3d represents the cost of 3 drink tickets that Carlos bought. Together they add up to $21.75, the total amount Carlos spent.

In the second equation, 10r represents the cost of 10 ride tickets and 6d represents the cost of 6 drink tickets that Juan bought. Together they add up to $39.50, the total amount Juan spent.