Whats the absolute value of x |x+5|= 35

Answer:

C) \(\displaystyle\frac{-2}{(x+1)}\)

Step-by-step explanation:

\(\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}\)

The point that best approximates the square root of 78 is a point that is between 8 and 9.

The estimate of a non-exact square root of x is done finding these two numbers listed as follows:

For this problem, we have that these two parameters are given as follows:

Hence the point that best approximates the location of the square root of 78 is a point between 8 and 9.

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The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

the first one

Step-by-step explanation:

The solution of measure of angle e is,

⇒ e = 58 degree

We have to given that,

Two lines are intersect each other.

Hence, By definition of linear pair angle, we get;

⇒ e + 122 = 180

Subtract 122 from both sides to isolate e.

This gives us,

⇒ e = 180 - 122

⇒ e = 58

Therefore, The solution of measure of angle e is,

⇒ e = 58 degree

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Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Answer:

x = 10.47

Step-by-step explanation:

circumference = 2 * 10 * π = 20π

centre angle of a circle (in radiant) = 2π

x : 20π = π/3 : 2π

x = (20π * π/3)/ 2π

x = 10 * π/3

x = 10π/3

x = 10.466667

x = 10.47

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

p=6/5

Step-by-step explanation:

p=6/5 or 1.2 or (1 and 1/5)

Steps

Switch sides of equation

Divide both sides by 5

Simplify

Add 2 to both sides

Answer: 4

Step-by-step explanation:

Just add

Answer:

4

Step-by-step explanation:

just add or if you can't then use a calculator

The equivalent pair of the given expression is; [4.8] and [3.21]

Floor function states that the greatest integer that is less than or equal to x. It is represented by:  ⌊ x ⌋.

Ceiling function states that the least integer that is greater than or equal to x. It is represented by ⌈ x ⌉.

Kareem wrote the expressions;

[3.2] [2.7] [2.9] [4.8]

By definition above;

[3.2] = 4

[2.7] = 2

[2.9] = 3

[4.8] = 4

Thus, the equivalent pair is [4.8] and [3.2]

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Answer:

Step-by-step explanation:

Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.

When x = 4, y = 800

This means that the income from gate takings at this rate is 4 × 800 = $3200

For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)

For the amount to be $3500, it means that

(x + 1)(800 - 100) = 3500

700(x + 1) = 3500

x + 1 = 3500/700 = 5

Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

Answer:

76.19

Step-by-step explanation:

Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

Answer:

140

Step-by-step explanation:

So all you have to do is multiply 5 * 4 * 7 to find out how many outfits you can make.

140

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

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Answer:

1.826.522

Step-by-step explanation:

16 +5 -3 + 1826572 + 4 -72 = 1.826.522

Answer:

muliply those numbers. and then divide from the amount of money she has.

Step-by-step explanation:

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

The measure of angle 1 is 71° ⇒ c

Step-by-step explanation:

Look to the attached figure:

∵ Line l intersect line n

∴ Angle 63° and angle (15x - 3) are linear pair

- The sum of the linear pair angles is 180°

∵ 63° + (15x - 3)° = 180°

- Add like terms

∴ 60 + 15x = 180

- Subtract 60 from both sides

∴ 15x = 120

- Divide both sides by 15

∴ x = 8

∵ Line m intersect line n

∴ Angle (8x + 7) and angle 1 are vertical opposite angles

- The vertical opposite angles are equal in measure

∴ m∠1 = 8x + 7

∵ x = 8

- Substitute the value of x to find m∠1

∴ m∠1 = 8(8) + 7

∴ m∠1 = 64 + 7

∴ m∠1 = 71

The measure of angle 1 is 71°

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Answer:

x= 5/2

Step-by-step explanation:

the only way a root could be 0 is when the radical is 0.

2x-5=0

transpose

2x= 5

x= 5/2

\(\textsf{Hey there!}\)

\(\huge\text{Question: } \mathsf{\sqrt{2x -5}= 0}\)

\(\bullet\ \large\textsf{First you have to square root both of your sides}\)

\(\huge\text{Like: }\mathsf{\bf{2x-5 = 0^2}}\\\mathsf{\rightarrow0^2=0}\\\mathsf{\rightarrow 2x - 5 = 0}\)

\(\bullet \ \large\textsf{Add by 5 on both of your sides}\)

\(\huge\text{Like: }\bf{\mathsf{2x - 5+5 = 0 + 5}}\\\textsf{Cancel out: }\mathsf{-5 + 5\ because\ that\ gives\ you\ 0}\\\textsf{Keep: }\mathsf{0+5\ because\ that\ helps\ us\ solve\ for\ our\ answer}\\\mathsf{\rightarrow\underline{0+5= 5}}\)

\(\bullet\large\text{ New equation}\)

\(\mathsf{2x =5}\)

\(\bullet \large\text{ Divide both of your sides by 2}\)

\(\mathsf{\dfrac{2x}{2}=\dfrac{5}{2}}\\\\\huge\textsf{Cancel out: }}\mathsf{\dfrac{2x}{2}\ because\ it\ gives\ you\ 1}\\\textsf{Keep:}\mathsf{\dfrac{5}{2}\ because\ it\ helps\ us\ solve\ for\ x}\)

\(\large\textsf{{{\underline{Answer}}}}\)

\(\boxed{\boxed{\huge\textsf{Thus, your answer is: \boxed{\boxed{\mathsf{\bf{x = \dfrac{5}{2}}}}}}}}\huge\checkmark\)

\(\mathsf{Note: Plug\ \dfrac{5}{2}\ into\ your\ equation\ (for \ x)\ and\ make\ sure \ that\ that\ it\ works }\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{LoveYourselfFirst:)}\)

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

The lengths of the segments into which the bisector of each angle divides the opposite side: 12.7, 20.4 and 9.8 respectively

The median of a triangle is defined as the length of a line segment that extends from a vertex of the triangle to the midpoint of the opposing side. A triangle can have three medians, all of which will intersect at the centroid (the arithmetic mean position of all the points in the triangle) of the triangle

The medians of the triangle are represented by the line segments ma, mb, and mc. The length of each median can be calculated as follows:

Ma = √(2b²) + (2c²) - a²

. Mb = √(2a²) + (2c²) - b²

Mc = √(2a²) + (2b²) - c²

Applying the formulas

⇒Ma = √(2*3²) + (2*11²) - 10²

Ma = √(18) + (242) - 100

Ma = √160

Ma = 12.7 units

Mb = √(2a²) + (2c²) - b²

Mb = √(2*10²) + (2*11²) - 3²

Mb = √(200) + (242) - 9

Mb = √415

Mb = 20.4 units

Mc = √(2*10²) + (2*3²) - 11²

Mc = √(200) + (18) - 121

Mc = √97

Mc = 9.8

The bisector of each angle divides the opposite side into: 12.7, 20.4 and 9.8 units respectively

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Answer:

3x = 6y

Step-by-step explanation:

8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.

Using the substitution the system of equations y + 4 = x and 10x + 2y + 16 is solved to be

Substitution involves replacing a value with it's equal

The given equation include

y + 4 = x

10x + 2y + 16

substituting x = y + 4 into 10x + 2y + 16

10x + 2y + 16

= 10(y + 4) + 2y + 16

= 10y + 40 + 2y + 16

collecting like terms

= 12y + 16

12y = -16

y = -16/12

y = -4/3

substituting y = -4/3 into x = y + 4

x = -4/3 + 4

x = 8/3

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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