Write and algebraic expression , Twice a number n

Solving for 'x' in the equation gives x = d/ cr

The subject of formula can be defined as the variable written in terms of other variables in a given expression or equation.

It is  known as the variable that is worked out in an equation or expression.

It is also described as the letter written on its own on one side of the equality sign.

Example:

The variables 'x' in the equation x = b + z is the subject of formula as it is the letter written on its own on one side of the equality sign.

Given the equation;

xc = d/r ,

To make 'x' the subject of formula, we need to divide both sides by the coefficient of x which is c

We have;

xc/c = d/ r/ c

Divide through

x = d/ cr

Thus, solving for 'x' in the equation gives x = d/ cr

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Answer:

\(\tan T \approx 1.28\)

Step-by-step explanation:

\(\tan T=\frac{7}{\sqrt{30}} \approx 1.28\)

Answer:

2.7

Step-by-step explanation:

ratios help

2.5 : 5.8 :: x : 6.2

2.5/5.8 = x/6.2

solve for x :

x = approx.   2.7

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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The steps to graph the absolute value functions are given below.

We have,

Absolute value functions of form f(x) = |ax + b| have a characteristic shape, which depends on the values of a and b.

Here are some general guidelines for graphing these functions:

Find the y-intercept:

To find the y-intercept of the graph, set x=0 and solve for y.

This gives f(0) = |b|, so the y-intercept is at the point (0,|b|).

Find the x-intercept(s):

To find the x-intercepts of the graph, set y = 0 and solve for x.

If b > 0, there are two x-intercepts: x = -b/a and x = b/a.

If b = 0, there is one x-intercept at x=0.

If b < 0, there are no x-intercepts.

Determine the direction of the graph:

If a > 0, the graph opens upwards, like a "V".

If a < 0, the graph opens downwards, like an upside-down "V".

Determine the vertex:

The vertex is the point where the graph changes direction.

If a > 0, the vertex is at (-b/a, 0).

If a < 0, the vertex is at (b/a, 0).

Sketch the graph:

Use the information above to sketch the graph of the absolute value function.

Plot the y-intercept, the x-intercept(s), and the vertex, and then draw a smooth curve connecting these points.

Thus,

The graph of the absolute value functions is given above.

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Answer:

A = 1/2 b*h

A = 24

b = 8

h = ?

24 = 1/2 * 8 * h

24 = 4h

h = 6

The height is 6 cm.

Hope this helps.

Answer:

5/12 (five-tweltfhs)

Step-by-step explanation:

4/6 - 3/12 = 5/12

4 x 2  = 8

-------   -----

6 x 2  = 12

8/12 - 3/12 = 5/12

Answer:

Around 150.72

Step-by-step explanation:

The formula for Circumference is \(2\pi r\).

The radius is down in the question as 24yd. (Radius is the distance from the center of the circle to a point on the circle)

Now we now the radius equals 24, simply substitute it into the formula.

2(3.14)(24)

Around 150.72.

Answer:

Circumference ≈ 150.8yd

Step-by-step explanation:

The formula for the circumference of a circle is 2πr. Since we know the radius is 24 yards, plug it into the formula.

C = 2π(24)

C = 150.796

C ≈ 150.8yd

Answer:

-3y + 5

Step-by-step explanation:

If we are subtracting 7y+10 from 4y-5, then we set up the equation like this: 4y-5 - 7y+10.

4y - 7y is -3y and -5 + 10 is 5.

This means that the the answer is -3y + 5. We cannot simplify any further because they did not give a value for y.

Answer:

19

Step-by-step explanation:

Notice that these two triangles are comprised of the same two lines. Because of this we can assume that \(39 = (2x+1)\)

We can proceed from here.

The parentheses are unnecessary on the right side of the equation because there is nothing else on that side. Lets remove them

\(39=2x+1\)

Now remember that we must do OPPOSITES. do the opposite on both sides. For example lets get rid of the 1. The opposite of 1 is negative 1. So subtract 1 from both sides. We get

\(38=2x\)

now we are making progress.....

the opposite of 2 times x is 2 divided by x. Lets divide 2 from both sides.

\(19=x\)

SUCCESS!

If James is sorting the numbers on his teddy bears from greatest to least, the number that would come next would depend on the numbers already sorted. For example, if the numbers he has sorted are 9, 5, and 3, then the next number would be 1.

Sort is a function used to rearrange items in a list in order of size, value or alphabetically. It is a computer algorithm that sorts a list, typically of numbers, words, or other items, into increasing or decreasing order. It is often used to arrange data so that it can be more easily analyzed or used in other applications. The simplest form of sorting is to take a list of items, compare each item to the items before it, and swap them if they are out of order. This process is repeated until all items are in the correct order. Sorting algorithms are used in many areas of computing, including data structures, artificial intelligence, databases, and programming languages.

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The numbers on teddy bears are sorted as 656, 666, 676, 686. The pattern rule is adding 10 so, the next number will be 696.

Sort is a function used to rearrange items in a list in order of size, value or alphabetically. It is often used to arrange data so that it can be more easily analyzed or used in other calculation. The simplest form of sorting is to take a list of items, compare each item to the items before it, and swap them if they are out of order. This process is repeated until all items are in the correct order.

If James is sorting the numbers on his teddy bears from greatest to least, the number that would come next would depend on the numbers already sorted.

The numbers on teddy bears are sorted as 656, 666, 676, 686.

Now, observe the pattern.

656 + 10 = 666

666 + 10 = 676

676 + 10 = 686

This indicates that the pattern rule is "adding 10", which means the next number in series is:

686 + 10 = 696

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The complete question is as follows:

The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, n, required by each dependent are therefore;

CB department, n = 300 ÷ 25 = 12 squares

CF department, n = 200 ÷ 25 = 8 squares

PS department, n = 8 squares

DD department, n = 8 squares

CS department, n = 12 squares

A layout for the fast-food restaurant is therefore;

Please see the attached table layout created using Sheets.

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The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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Answer:

b).$1.340,00

Step-by-step explanation:

Sana po makatulong ako sayo..

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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Answer:

You have the right answer selected, Mohamed is correct.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer: B

Step-by-step explanation:

The minimum score  he need to make on his fourth test so that his test average is at least an 80 is 88 .

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Average = \(\frac{Sum of total data }{Number of data }\)

According to the question

Dan has grades on his first three algebra tests is 74, 78, 80  .

minimum score does he need to make on his fourth test so that his test average is at least an 80

Now ,

Let fourth test score be x .

and minimum average needed is greater than or equal to 80 .

By applying average formula :

Average =  \(\frac{Sum of total data }{Number of data }\)

substituting the values

80 ≤   \(\frac{74 + 78+80+x}{4}\)

320 ≤  232 + x

88 ≤  x

i.e

x should be greater than or equal to 88

Therefore ,

fourth test score should be greater than or equal to 88 to get average at least 80.

Hence, the minimum score  he need to make on his fourth test so that his test average is at least an 80 is 88 .

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x = 2.67 is the solution to the equation -6x + (3)(2x) = 16.

What is the Algebraic Equations?

Algebraic equations are mathematical statements that describe a relationship between two or more variables, where one variable is expressed in terms of the others.

To solve the equation -6x + (3)(2x) = 16, we can simplify the expression on the left-hand side first:

-6x + (3)(2x) = -6x + 6x = 0x = 0

Next, we isolate the x term on one side of the equation by subtracting 16 from both sides:

0x = 0 - 16 = -16

Finally, we can solve for x by dividing both sides of the equation by -6:

x = -16 / -6 = 2.67 (rounded to two decimal places).

So, x = 2.67 is the solution to the equation -6x + (3)(2x) = 16.

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You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

16 sample points (possible outcomes as to the classifications) exist.

What is the combination?

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

Here, we have

Given: An experiment consists of selecting a student body president and vice president. All undergraduate students (freshmen through seniors) are eligible for these offices.

There are 4 possible classifications for the president (freshman, sophomore, junior, senior) and 4 for the vice president.

A total of (4)(4) = 16 sample points.

Hence, 16 sample points (possible outcomes as to the classifications) exist.

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The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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If  a player hits a ball while a bird is flying across the field. The intersection points of the equations represent: C the time when the height of the ball and the bird are the same.

Intersection points  can be defined as the points in which two parallel lines meet each other.

Given data:

Height of the baseball over time = h = –16t² + 65t

Height of a bird over time = h = 8t + 20

Where:

t = time in seconds

h = height in feet

–16t² + 65t =  8t + 20

-16t² +57t -20 =0

So,

t = -57 ±√57² -4×(-16) × (-20) / 2× (-16)

t = -57±√3249  -1280/ -32

t = -57 ±√1969 /-32

t = -57 + 44.373 / -32

t =  -12.627 /-32

t =.395

And

t = -57 - 44.373 / -32

t =  -101.373 /-32

t =3.168

Based on the above of the height of both the baseball and the bird, the time when the height of the ball and the bird are the same  are the points were the two lines intersect.

Therefore the correct option is C.

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According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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Answer:

What WHAT what WHAT WHAT

Answer:

(-17,-14)

Step-by-step explanation:

Answer:9.7%/year

R = 9.7%/year

Formula:r = I / Pt

Step-by-step explanation:Mark me as Brainlieist

Calculation:

Solving our equation

r = 87.3 / (1800 × 0.5) = 0.097

r = 0.097

converting r decimal to a percentage

R = 0.097 × 100 = 9.7%/year

The interest rate required to

accumulate simple interest of $87.30

from a principal of $1,800.00

over 0.5 years, is 9.7% per year.