| -4 + 5\2 | - (-x) =-3

Answers

Answer 1

Answer:

x = -4.5

Step-by-step explanation:

Solving the equation :

[tex]\left\vert -4+\frac{5}{2} \right\vert -\left( -x\right) =-3[/tex]

[tex]\Longleftrightarrow \left\vert \frac{-8}{2} +\frac{5}{2} \right\vert +x =-3[/tex]

[tex]\Longleftrightarrow \left\vert \frac{-8+5}{2} \right\vert +x =-3[/tex]

[tex]\Longleftrightarrow \left\vert \frac{-3}{2} \right\vert +x =-3[/tex]

[tex]\Longleftrightarrow \frac{3}{2} +x =-3[/tex]

[tex]\Longleftrightarrow x =-3-\frac{3}{2}[/tex]

[tex]\Longleftrightarrow x =-\frac{6}{2} -\frac{3}{2}[/tex]

[tex]\Longleftrightarrow x = -(\frac{6}{2} +\frac{3}{2} )[/tex]

[tex]\Longleftrightarrow x =-\frac{9}{2}[/tex]

[tex]\Longleftrightarrow x =-4.5[/tex]


Related Questions

help me find the answer plss​

Answers

Answer:

about 8.2 cm

Step-by-step explanation:

The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters

Select all the correct answers.
3x
If the measure of angle is 4, which statements are true?
The measure of the reference angle is 60°.
□ sin(0) = 2
The measure of the reference angle is 45°.
Otan(8) = 1
cos(8) = √2
The measure of the reference angle is 30°.

Answers

If the measure of angle θ is 3π/4, the true statements are:

sin(θ) = √2/2.The measure of the reference angle is 45°.

How to determine the true statements?

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

Read more on terminal point here: brainly.com/question/4256586

#SPJ1

Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

A triangle has one side length of 2x

2 + 5x + 3. The other two sides of the triangle have lengths x

2 + 2x and
3x − 2. Determine the simplified expression that represents the total perimeter of the triangle.

Answers

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

How to determine the perimeter?

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x  + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x  + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

Read more about perimeter at:

https://brainly.com/question/6465134

#SPJ1

Solve the system of equations:



8x + 3y = 13

3x + 2y = 11

Answers

Answer:

1.x=13/8-3y/8

2.x=11/3-2y/3

Step-by-step explanation:


Given that
y=1/27x^3
express each of the following in the form kx^n where k and n are constants.
(a) y^1/3
(b) 3y^-1
(c) √(27y)

Answers

Express  the following in the form kx^n where k and n are constants.

(a) y=x^3

(b)y=3x^-1

(c) y=x^3/27

To express each of the following in the form kx^n where k and n are constants.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

y=1/27x^3

express each of the following in the form kx^n where k and n are constants.

(a) y^1/3

Let y^1/3=x

by cubing both sides we get,

y=x^3

The equation in the form of  kx^n

where,

k=1

n=3

(b) 3y^-1

Let 3y^-1=x

3/y=x

y=3/x

By simplify

y=3x^-1

The equation in the form of  kx^n

where,

k=3

n=-1

(c) √(27y)

Let (27y)^1/3=x

by cubing both sides we get,

27y=x^3

y=x^3/27

The equation in the form of  kx^n

where,

k=1/27

n=3

Learn more about algebra here:

https://brainly.com/question/28050991

#SPJ1

By rounding each number to 1 significant figure,
estimate the answers to:
a)763 x 42
_______
82

b)39 × 52
_______
3.8 x 4.9

Answers

Answer:

see explanation

Step-by-step explanation:

rounding each number to 1 significant figure

(a)

763 × 42

≈ 800 × 40

= 32000

(b)

39 × 52

≈ 40 × 50

= 2000

(c)

3.8 × 4.9

≈ 4 × 5

= 20

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36. 2x2 – 9x x2 6x – 24 x2 – 2x – 9 –4x2 8x 36

Answers

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

Learn more about Synthetic Division:

https://brainly.com/question/14645972

#SPJ4

Please help me Ill mark you brainlest

Answers

Answer:

Step-by-step explanation:

22/11,594 I need a step by step answer

Answers

Answer:

1.89753

Step-by-step explanation:

22/11,594

Multiply the numerator and denominator by 1000 to remove decimal

         [tex]\frac{22}{11.594} * 1000 = \frac{22000}{11594}[/tex]

Using long division

Learn more about Long Division here: https://brainly.com/question/12085148

if p is a prine number greater than 5 and q is an odd number greater than 5 whihc of the following is true

Answers

The first statement p + q is not a prime number is a true option (A) correct.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

First statement:

p + q is not a prime number.

Let p = 7

q = 9

= 7 + 9 = 16 (16 is not a prime)

= 7×9 = 63 (no factor of 63)

p = 7, q = 7

q/p = 7/7 = 1 (1 is integer)

Thus, the first statement p + q is not a prime number is a true option (A) correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ1

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that a dilation will produce similar figures? Explain

Answers

The dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

What is dilation?

It should be noted that dilation simply means a transformation to resize an object

In this case, the dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

Learn more about dilation on:

brainly.com/question/3457976

#SPJ1

Answer:

The dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

Step-by-step explanation:

in each of the following graphs, the two given polygons are similar. write precisely a single dilation (coordinated of center and coefficient) by which the image (labled with primed letters) was obtained.

Answers

The single dilation of the shape is a dilation by a scale factor of 1.5 with center R

How to determine the dilation rule?

From the graph, we have the center of dilation to be point R.

This is so because R = R'

Also, we have:

R = (-1, -4)

S = (2, 0)

S' = (3.5, 2)

Calculate the distance RS and RS' using

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

This gives

[tex]RS = \sqrt{(0 + 4)^2 + (2+ 1)^2} = 5[/tex]

[tex]RS' = \sqrt{(2 + 4)^2 + (3.5+ 1)^2} = 7.5[/tex]

Divide RS' by RS to determine the scale factor (k)

k = 7.5/5

k = 1.5

Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R

Read more about dilation at:

https://brainly.com/question/13176891

#SPJ1

Can someone help with these geometry questions? I gotta have answers fast, it’s urgent:(

Answers

Can't answer 1-6 cause I have no idea what you need

7) A triangle with two congruent sides is isosceles.

8) [tex]\overline{AC}[/tex] and [tex]\overline{BC}[/tex]

9) [tex]\angle C[/tex]

10) [tex]\overline{AB}[/tex]

11) [tex]\angle A, \angle B[/tex]

12) isosceles triangle

The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 20% in 10 years. what will be the population in 20 years? (round your answer to the nearest person.)

Answers

The population in 20 years is 719 people.

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

According to the question

[tex]\frac{dP}{dt} = kP[/tex]   where P is population at any time

solving equation,

[tex]\int[/tex][tex]\frac{dP}{dt} =\\[/tex] [tex]\int kP[/tex]

[tex]lnP=kt+C[/tex]                                 -(1)

Applying the conditions,

at t=0, P = 500

[tex]ln500=C[/tex]                                      -(2)

at t=10, P= 600

putting it in equation gives

[tex]ln(600) = k(10)+ln(500)[/tex]

ln(6/5) = k(10)

[tex]k = \frac{ln(6/5)}{10}[/tex]

at t=20 , P= ?

[tex]lnP=(\frac{ln(6/5)}{10})20 + ln500[/tex]

[tex]lnP=({ln(6/5)}{2 + ln500[/tex]

On putting the values of ln(6/5) , ln(500)

[tex]lnP=0.182(2) + 6.214[/tex]

[tex]P = e^{6.578}[/tex]

P = 719.099

On rounding off

P ≈ 719 people

Thus the population in 20 years is 719 people.

Learn more about differential equations here :

https://brainly.com/question/1584190

#SPJ4

Solve The Following
( Solving equations)

Answers

1. 15/2 | 2. 1 … if you need examples just reply here

Answer:

a) x = 4

b) x = 1

Step-by-step explanation:

a) [tex]\frac{4x-1}{2} = x + 7[/tex] multiply both sides by 2 so we can simplify the fraction by getting rid of 2

4x - 1 = 2x + 7 transfer like terms to the same side of the equation

4x - 2x = 7 + 1

2x = 8 divide both sides by 2

x = 4

b) [tex]3x + 2 = \frac{2x+13}{3}[/tex] again, get rid of the fraction by multiplying both sides by 3

9x + 6 = 2x + 13 transfer like terms to the same side of the equation

9x - 2x = 13 - 6

7x = 7 divide both sides by 7

x = 1

ion 9
ret
ered
ed out of
g
ion
Given circle A with radius 15, find the length of arc FD. Give your answer rounded to the nearest hundredth.
Answer:
20°
156°
46°
my
E
D
B

Answers

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of an arc is given by:

arc length = (Ф/360) * 2π*radius

Let us assume that the angle is 120°

arc FD = (135/360) * 2π(15) = 10π

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

What is the area of a square with radius 7.5m

Answers

Answer:

48.375

Step-by-step explanation:

Area of square- area of circle

Side^2 - pieR^2

(15)^2 - 3.14*7.5*7.5

225 - 176.625

= 48.375

Hope this helps

The area of the square is 56.25 m².

The area of the square is:

Area = Side²

Area = (7.5 m)²

Area = 56.25 m²

{ Pisces04 }

Geometry question I need help with true of false

Answers

Answer:

RS = 12 False

x=4 True

x=3 False

QT=16 True

Step-by-step explanation:

(LOOK AT IMAGE)
The diagram shows a circle with a tangent.
a) What is the size of angle x?
b) Choose the theorem below which allows you to find x. ​

Answers

a) By the alternate segment theorem, [tex]x=53^{\circ}[/tex]

b) Alternate angles are equal

Which choices are equivalent to the expression below? Check all that apply.

√8√8

A. √8
B. 8
C. √√8.8
D. 64
E. √16
F. 64

Answers

I hope this photo will help you.

Robert, Richard and David were working on a project to redesign coke cans. First, Robert measured the original coke can and found the circumference to be 8.6 inches. Richard measured the height to be 15.2 cm.
David calculated the volume to be 131.3 cm3.
Choose the true statement(s) below.

Select one or more:
a.David's calculations are incorrect, he needed to convert centimeters to inches before finding the radius then use the area of the base times the height .

b.David is correct.

c.David's calculations are incorrect, he used the circumference and the height to find the volume.

Answers

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Volume

Correct calculation:

Height = 15.2 cmCircumference = 8.6 inches

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

Learn more about volume:

https://brainly.com/question/1972490

#SPJ1

what does I mean in a equation

Answers

Iota, also known as the symbol , is denoted as being the square root of -1. Since square roots of negative numbers do not exist, there is a variable that represents it complexly. In fact, every real number (a) can be represented using the form (a) + (0).

On occasion, variables can also use and it does not have to be talking about the square root of -1. However, this rarely ever happens to avoid confusion. Check instructions in questions to see how is defined.

help me please U_U......

Answers

Distance traveled = dependent variable

Gasoline left in tank = independent variable

Select the correct answer. The steps for solving the given equation are shown below. -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table. addition property of equality division property of equality multiplication property of equality subtraction property of equality Select the correct answer . The steps for solving the given equation are shown below . -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table . addition property of equality division property of equality multiplication property of equality subtraction property of equality​

Answers

The property for the missing justification is: A. addition property of equality.

What is the Addition Property of Equality?

If b - a = c, based on the addition property of equality, we can isolate b by adding a to both sides, i.e. b - a + a = c + a, to give us b = c + a.

Using the addition property of equality, 7 was added to both sides of the equation as shown in step 3.

Therefore, the missing justification is: A. addition property of equality.

Learn more about the addition property of equality on:

https://brainly.com/question/1542520

#SPJ1

PLEASE HELP!!!
Determine the measure of the angle formed by the line y=3/2x and the positive x-axis.

Answers

Answer:

the angle = ~56.3 degrees

Step-by-step explanation:

1. y=3/2(x) and y=0
2. say x is equal to 4. the length along the x axis is 4. you would plug x=4 into y=3/2x to get the length along the y axis (which would be 6). then you would use these lengths to find the angles value with tan. tan^-1(6/4), so the answer would be ~56.3 degrees

HELP PLSSSSS! 10 points for whoever and good ratings

Answers

Answer:

Hello! The answer is 19.25 m²

Step-by-step explanation:

A = 1/2(4 + 7)3.5

A = 1/2(11)3.5

A = (5.5)3.5

A = 19.25 m²

Answer:

19.25 m²

Step-by-step explanation:

A = (1/2)(b1 + b2)h

A = (1/2)(7 m + 4 m)(3.5 m)

A = 19.25 m²

To wire the entire new addition, max and fred have 6 rolls of wire with 9 2/5 feet per roll and 7 rolls of wire with 16 3/4 feet per roll. how many feet of additional wire do they need in order to complete the job if it requires 200 feet of wire? write the result as a mixed number.

Answers

Additional wire of  26 7/20 feet, in the form of a mixed fraction, is required to complete the job.

What is the length of additional wire required, in the form of a mixed fraction?

A mixed fraction is represented by both its quotient and remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Max has total 6*9 2/5feet of wire, that is, 282/5 feet of wire.

Fred has total 7*16 3/4 feet of wire, that is, 469/4 feet of wire.

The total amount of wire required=200 feet

The total amount of wire available=282/5+469/4

                                                         =3473/20

An additional amount of wire is required=200-3473/20

                                                                   =(4000-3473)/20

                                                                   =527/20

Thus, the additional amount of wire required is expressed as a mixed fraction= 26 7/20 of feet.

Learn more about mixed fractions here:

https://brainly.com/question/1746829

#SPJ4

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

Answer:

Central Angle (Radians)=

1.0482

Central Angle (Degrees)=

6.0058e+1

Sector Area Equals

0.477

Step-by-step explanation:

Select the correct answer.
Which statement is true about function f, which is shown in the graph?



The graph shows a cubic function. The curve is drawn using the points (minus 1, 8), (minus 1, minus 3.5), (0, 0), (1, 3.5), and (1, minus 8) which intercepts (1, 0), and (minus 1, 0)

A.
Function f is neither even nor odd.
B.
Function f is odd.
C.
Function f is both even and odd.
D.
Function f is even.

Answers

A would be the answer for this

How many times could you expect to roll a number that is not 5 if you rolled a standard die 360 times?

Answers

The number of times I would expect to roll a number that is not a 5 is 300 times.

What is the number of times a 5 won't be rolled?

A standard die has 6 faces. There are 5 numbers that are not 5 on a standard die. They are 1, 2, 3, 4, 6.

The number of times a 5 won't be rolled = (5/6) x 360

5 x 60 = 300 times

To learn more about a standard die, please check: https://brainly.com/question/20376457

#SPJ1

Other Questions
Finding probability, please help!! show all work!! Read each of the excerpts below from The Necklace. Most of them provide textual evidence for a theme related to the main character's belief that having more money would make her happy. Which excerpt is NOT related to this theme. Tongue rolling was thought to be an example of a human trait controlled by a single gene, but we now know that identical twins, who share 100% of their DNA sequences, will only share the tongue-rolling trait 70% of the time. This indicates that tongue rolling may also be controlled by the environment. True False Whats the answer to the question What is globalization? Where should there be a paragraph break in the following text? I walked into the old abandoned house for the first time. The floor creaked with each step kicking up dust. A chill went up my spine, but something kept pushing me forward until I found a small locket. (1.) And not just any locket. The locket I lost six years ago at my uncles farm. (2.) I was playing in the fields behind the barn when I ran into a cute little fox. (3.) I did not know foxes could be mean. It attacked me and when I ran I lost the locket, I assumed forever. I guess I was wrong. A. 1. B. 3. C. 2. D. 1. and 2. Data frames can be subset by a chosen value using ==.Ex: df[df.x == 5] gives all the rows in the data frame df for which the column x has a value of 5.Write a program that performs the following tasks:Load the file mtcars.csv into a data frame called dfCreate a new data frame df_cyl by subsetting the data frame based on a user defined value for the column cyl.Print the shape of the new data frame. A firm has a target debt-equity ratio of .5, but it plans to finance a new project with all debt. What debt-equity ratio should be used when calculating the project's flotation costs An ellipsis between two sections of a novel may indicate ____________.the passage of timelack of direction in the storys main plotthat the author is not sure what to write nextthat the text is not actually a novel at allComplete LaterComplete What is the primary purpose of a graphic organizer when used as an aid to read a play? which group directly selects the president of the U.S. For the following exercises, find (f g)(x) and (g f)(x) for each pair of functions34. f(x) = 4 x, g(x) = 4x Find the principal which amounts to $918 in 1 year at a simple interestof 2% per annum Suppose you are volunteering with a public health agency in a state that has just passed a lawthat makes bicycle helmets mandatory for all riders. Describe two ways you could determinewhether the law is improving bike rider safety and public health. (8 points) How do social values influence consumer purchase behavior and brand performance Ria surveyed 20 classmates to ask what types of pets they had at home. calculate the relative frequency of each pet type. write your response in exact decimals.) pet type count relative frequency dog 8 cat 7 bird 3 fish 2 total 20 . Chromosomes are easiest to move around the cell when they're tightly packed. What is this process called?evaporatingcondensingmitosisreplicated If the critical z-value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error What is the volume of this hemisphere Which graph represents (x,y)-pairs that make the equation y = 3x - 2 true?