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Inequalities on the Number Line: Mastery Test

2.

Select the correct rational numbers.

Identify the numbers that are located to the right of - 4 on a horizontal number line.

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52

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WIN

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12 / 를

-4

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Answers

Answer 1

The numbers that are located to the right of - 4 on a horizontal number line is

A.) - 1/2

B.) 5 1/2

D.) - 3 2/3

E.) - 1 2/3

G.) 2 /3

H.) - 4

What is number line?

A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

Given the numbers :

A. -1/2 ; B. 5 1/2 ; C. -4 2/3 ; D. -3 2/3 ; E. -1 2/3 ; F. -5 1/2 ; G. 2/3 ; H. -4

Select which are located to the right of - 4 1/3 on an horizontal number line;

Kindly note that ; numbers located to the right of - 4 1/3 will be greater.

Hence, all numbers in the option greater Than - 4 1/3 are correct.

All positive numbers are located to the right ;

All negative greater than - 4 1/3

A.) - 1/2

B.) 5 1/2

D.) - 3 2/3

E.) - 1 2/3

G.) 2 /3

H.) - 4

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Related Questions

Find an explicit formula for the following equence, an which tart with a1=23. 23,34,45,56,…

Answers

The explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11. Here the first term is a1 = 23 and the common difference is d = 11.

What is the explicit formula for an arithmetic sequence?

The explicit formula for an arithmetic sequence gives the nth term of the sequence. I.e.,

aₙ = a1 + (n - 1)d

Here a1 is the first term; d is a common difference, it is calculated by

d = aₙ₊₁ - aₙ = aₙ₋₁ - aₙ

Calculation:

The given sequence is 23, 34, 45, 56,...

Here the first term a1 = 23

So, the common difference between the terms in the sequence is

d = 34 - 23 = 11

Then, the explicit formula for the given sequence is

aₙ = a1 + (n - 1)d

⇒ aₙ = 23 + (n - 1)11

Therefore, the nth term of the explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11.

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PLEASE HELP!!!! ASAP!!

Answers

Answer:

2

Step-by-step explanation:

This question is asking about the multiplication rule of exponents. When you multiply two exponents of the same base, the exponents add. With the parameters x=4, y=6, and z=8, the first one is true because 2+4=6. The third one is true because 6+6=12. The second one isn't true because 6+8=14, not 4.

Find y she c=10 if y=8 when’s=20

Answers

The value of x=10 is y=4 if y=8 if x=20.

What is an algebra?

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics. It is also used to name specific types of algebraic structures, such as an algebra over a field, which is frequently referred to as an algebra. The word algebra is used to name both a mathematical field and some of its subfields.

When x=20, y=8

The value of y is 0.4 times of x.

y=0.4×20

y=8

So, when x=10

y=0.4×10

y=4

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which of the following represents 3 square root x^2 in exponential form?

Answers

Answer:

D

Step-by-step explanation:

the numerator of the exponent is the exponent of x


the denominator is the the index of the root

When the expression is evaluated it becomes X^2/3

Option D is correct

Norberto received the following scores on his last five spelling tests: 88, 76, 93, 85, and 98. Which of the following statements is
true?
The median of the set of scores is 93.
The mean and median of the set of scores are the same.
The mode of the set of scores is 88.
The mean of the set is less than the median.

Answers

Correct answer: The mean and median of the set of scores are the same.

They are both equal to 88.

A model car is 12 inches long. Using a scale of 3 inches : 4 feet ,how long is the actual car

Answers

The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter.

What is unit of length?Using measuring instruments like a ruler, measuring tape, etc., one can measure the length of any object. A ruler can be used to determine, for instance, how many inches a pencil is long. A feet scale can be used to gauge the height of each student in a class.The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.

Length of the car is 12 inches equal to 192 feet.

Given ,

3 inches : 4 feet

3 inches : 4*12

3 inches :48

1 inches : 16 feet

Length of the car is 12 inches = 12 * 16

Length of the car is 12 inches = 192 feet

The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, a rectangle's length and width are its dimensions.In the metric system, the SI unit of length is a metre which is defined as: “The length of the path travelled by light in a vacuum within 1⁄299792458 seconds.”The SI unit of length is a metre (m). One metre (m) is divided into 100 equal parts called centimetre (cm). One centimetre (cm) has 10 equal parts called millimetre (mm). For measuring longer distances, we use a larger unit of length called, kilometre (km).

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Is this a function? Explain, why or why not!
8
6
4
2
0
0
2
4
6
Edit View Insert Format Tools Table

Answers

Answer:

Yes

Step-by-step explanation:

Every input has only one output.

Answer: Yes
Explanation: For every input there is one output also none of the points line up with eachother

a retired biologist withdraws money from a retirement account at a constant rate. 15 months after she starts withdrawing money, she has $785,000 in the account. she has $630,000 in her account 40 months after she starts withdrawing money. let a(t) represent the dollar amount in the account t months after she begins withdrawing money from the account. a. find the linear function that gives a(t), the dollar amount in the account t months after she starts withdrawing money. (8 points) b. how much money is in the account 80 months after she starts withdrawing money? (2 points)

Answers

The linear function that gives a(t), the dollar amount in the account t months after she starts withdrawing money is [tex]a(t)=785000-3875t[/tex]

The money in the account 80 months after she starts withdrawing money is [tex]a(80) & =\$ 475000\end{aligned}$$[/tex]

The amount of money she withdraw in 40 months

[tex]& \Rightarrow \$(785000-630000) \\& =\$ 155000\end{aligned}$$[/tex]

She withdraw money per month at constant rate

[tex]=\frac{155000}{40}$$[/tex]

The amount of money a(t) in t months.

[tex]a(t)=785000-\frac{155000 t}{40}$$[/tex]

[tex]a(t)=785000-3875t[/tex]

Therefore the linear function that gives a(t), the dollar amount in the account t months after she starts withdrawing money is [tex]a(t)=785000-3875t[/tex]

(b) The money in the account after 80 months.

[tex]$$\begin{aligned}a(80) & =785000-3875(80) \\& =785000-310000 \\a(80) & =\$ 475000\end{aligned}$$[/tex]

Therefore the money in the account 80 months after she starts withdrawing money is [tex]a(80) & =\$ 475000\end{aligned}$$[/tex]

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- 1/4 * (x - 26) = - 200 Solve the equation for x.

Answers

Answer:

x=826

Step-by-step explanation:

What is the value of x? Please give steps on how you did it. Please, Hurry it is due at 11:59 pm.

Answers

Answer:

51/3

Step-by-step explanation:

Angles opposite congruent sides of a triangle are congruent.

[tex]x+17=4x-34 \\ \\ 17=3x-34 \\ \\ 51=3x \\ \\ x=51/3[/tex]

Graph y=-4x+8 please.

Answers

Answer:

attached is the graph and other data

Step-by-step explanation:

UDENT EXAM
Roy is 30 miles from Dallas, ready to leave for Pecos. Travis is in Pecos, ready to leave for Dallas. To qualify for a trip to Costa Rica, Roy
vill meet Travis somewhere along the highway to give him the key to a treasure chest in Pecos. The distance, d, in miles, from Dallas is a
unction of the hours, h, since Travis left Pecos. What does the point (4,270) represent?

Answers

The point (4, 270) represents the distance from Dallas in miles, d, after 4 hours since Travis left Pecos.

In this scenario, Roy and Travis are traveling towards each other on a highway between Dallas and Pecos. Roy is located 30 miles from Dallas and Travis is located in Pecos. They both plan to meet along the highway to exchange the key to a treasure chest. The distance from Dallas, d, is a function of the number of hours, h, since Travis left Pecos. This means that the distance from Dallas will change based on the number of hours that have passed since Travis left Pecos.

The point (4, 270) represents a specific point on the distance from Dallas versus hours since Travis left Pecos graph. It indicates that after 4 hours since Travis left Pecos, the distance from Dallas is 270 miles. This means that at this point in time, Roy and Travis are both located 270 miles from Dallas and are traveling towards each other on the highway.

A state seal, which is round, hangs in the capitol building. It has a radius of 2 yards. What is the seal's diameter?

Answers

Step-by-step explanation:

you do understand that the diameter of a circle is simply 2 times the radius, yes ?

imagine a circle and you draw a radius line (from the center of the circle to the circle arc).

and now imagine to draw another radius line, just in the opposite direction.

when you look at the result, you have 1 straight line going from the circle arc to the circle arc and passing through the center of the circle. that is what a diameter is.

how long is it ? well, we drew 2 radius lines to create this line. so, it is 2×radius long.

so, the diameter of the seal is

2×2 = 4 yards

the initial population of a town is 100,231 and it grows with a doubling time of 98 years. what will the population be in 31 years?

Answers

If the initial population of a town is 100,231 and it grows with a doubling time of 98 years, the population after 31 years is  124803

The initial population of the town = 100231 people

The doubling time = 98 years

We have to find the population in 31 year

The exponential function will be

f(t) = fo(2)^(t/98)

f(t) is the population of the town in t years

fo is the population of the town in t = 0 years

t is the number of years

2 because it doubling time

The value of t = 31 years

Substitute the values in the function

f(31) = 100231×(2)^(31/98)

Do the arithmetic operations

f(31) = 100231 × 1.245

f(31) = 124803.23

f(31) ≈ 124803

Therefore, the population after 31 years is 124803

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If ur good at geometry can u help Solve for m given that the perimeter of the triangle is 19 centimeters.

Answers

Answer:

m =  7cm

Step-by-step explanation:

Perimeter of a triangle is all the sides added up, so a+ b + c.

Given that a= 6 and b= 6, that's 12cm together. So just subtract the perimeter 19cm by 12cm to get your answer of 7cm.

In the diagram, ∠4 ≅ ∠5 and SE — bisects
∠RSF. Find m∠1. Explain your reasoning.

Answers

Answer:

  60°

Step-by-step explanation:

You want the measure of angle 1 in the given diagram.

Angle relations

Transversal TR creates corresponding angles 1 and 5, so those are congruent.

It is given that angles 4 and 5 are congruent.

Transversal SE creates alternate interior angles 2 and 4, so those are congruent.

Angle bisector SE creates angles 2 and 3 congruent.

Now we have ∠1≅∠5≅∠4≅∠2≅∠3.

Hence all of the angles are congruent to each other, and angle 1 is 1/3 of 180°.

  m∠1 = 60°

Suppose you deposit $100 in Account A with
a simple interest rate of 3.4%, and $300 in
Account B with a simple interest rate of 1.8%.
One year later, you get
a bank statement
that
shows the interest for Account A is
$3.40 and the
interest for Account B is $540.00.
a. Which account statement is incorrect?
b. What may have been the bank's error?

Answers

The account statement for Account B is incorrect.

What is simple rate of interest?

Simple rate of interest is a type of interest calculation where interest is calculated only on the principal amount of a loan. Simple interest is calculated periodically, usually monthly or annually, as a fixed percentage of the principal. It is different from compound interest, which applies interest to both the principal and the accumulated interest. It is simpler to calculate than compound interest, and is generally used for short-term loans.

Given: Account A: $100, 3.4% and Account B: $300, 1.8%

We know, Simple Interest = Principal × Rate × Time

Interest for Account B = $300 × 1.8%

                                     = $5.40

The bank statement after one year should be $5.40 instead of $540.00.

Hence, Account B's statement is incorrect.

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Timmy received $50 for his birthday. Following the birthday party, his parents promised him $5 each week for completing his chores. Assuming timmy completes all chores, use a linear equation to determine the number of dollars timmy will have 7 weeks after his birthday.

Answers

Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.

What are equations?

In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.

How to solve?

Let x be the number of weeks after Timmy's birthday.

The total number of dollars Timmy will have after x weeks is 50 + 5x.

Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks

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Lillian has a rectangular garden with an area of 10x2 +33x – 7 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.
Attempt was made but incorrect
(1 pt)
Correct but no work shown OR less than half the work is correct
(2 pts)
About half of the work is correct
(3 pts)
Most of the work is correct (4 pts)
Fully Correct with all work shown
(5 pts)

Answers

If Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.

We have to find the expression representing the length and width of the garden.

[tex]=10x^2+33x-7 \\\\ =\left(10x^2-2x\right)+\left(35x-7\right) \\\\ =2x\left(5x-1\right)+7\left(5x-1\right)\\\\ =\left(5x-1\right)\left(2x+7\right)[/tex]

The area of the rectangular garden is,

A = L × B

Comparing the expression with the obtained expression we get the expressions that would represent the length and width of the garden as,

A= (5x-1)(2x+7)

Thus, if Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet. The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)

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kjlklnlkjklnnnnnnnnnnnnnlkhi

Answers

Answer:

yes seems like you understand

Answer:

yes

Step-by-step explanation:

yes

Hellllalalap pls happy holidAys

Answers

Answer:

Federal Reserve banks

Step-by-step explanation:

Hope it helps!

Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each. A photo store charges $0. 55 to print each photo. How many photos must Rick print before his total cost is less than getting prints made at the photo store? More than 718 photos. Less than 718 photos. More than 900 photos. Not enough information to solve

Answers

The  718.85 < x  inequality says that : He must print 719 photos or more.

Given,

In the question:

Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.

and, A photo store charges $0. 55 to print each photo.

To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?

Now, According to the question:

Let the photos be x

Rick bought a photo printer be $186.90

A photo store charges $0. 55 to print each photo.

The question is based on inequality:

Photo Printer <  photo store

1.86.90 + 0.29x <  0.55x

            - 0.29x     - 0.29x

______________________

 1.86.90    < 0.26x

Divide by 0.26x on both sides

= 718.85 < x

Hence, The  718.85 < x  inequality says that : He must print 719 photos or more.

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Which statement about 56 – 34 is true?
A The least common denominator is 6.The least common denominator is 6.
B The difference is a whole number.The difference is a whole number.
C The least common denominator is 12.The least common denominator is 12.
D The difference is a mixed number.The difference is a mixed number.

Answers

Since, Both the numbers used for the difference calculation are whole numbers, The answer is B) The difference is a whole number.

What are real numbers?

Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1) and fractions (1/2, 2.5).

What are whole numbers?

Whole numbers are natural numbers including zero with it.

56 is a whole number

34 is a whole number

the difference, 56-34 = 22 is also a whole number.

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Could Someone Help Me with this rewrite dis equation into y=mx+b

y< -3/4x+2 pls help me

Answers

The equation written in slope-intercept form is y = -(3/4)x +2.

What is the slope-intercept form of a line?

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given inequality is y < -3/4x + 2

Rewrite the inequality as an equation in slope-intercept form:

y < (-3/4)x + 2

y = (-3/4)x + 2

Where m = -3/4 and b = 2

Hence, the equation written in slope-intercept form is y = -(3/4)x +2.

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In Exercises 7-10, find the zeros of the function. Then sketch a graph of the function.

7. f(x) = - 5x ^ 4 + 20x ^ 3 + 60x ^ 2

8. g(x) = - x ^ 3 - x ^ 2 + 30x

9. k(x) = x ^ 3 + x ^ 2 - 4x - 4

10. f(x) = x ^ 1 - 4x ^ 2 - 9x + 36

Answers

Answer:

Step-by-step explanation:

7 1+1

8 2+2

9 4+4

10 1+1+2+2+4+4=69

What answer is the best one? Pls help me

Answers

we know ,

the probability=no of repeated value/total number

factorial of 3 and 2

and factorial of total number

=3ḷ×2ḷ/7ḷ

=3×2×1×2×1/7×6×5×4×3×2×1

=1/7×5×4×3

=1/420

=0.23809

or

=0.238

what is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

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n is m% of what? Help please :)

Answers

Answer:

Step-by-step explanation:

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

The circumference of a circle is 11π cm. What is the area, in square centimeters? Express your answer in terms of π.

Answers

Answer:

The area of the circle is 30.25π cm^2.

Step-by-step explanation:

The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.

Substituting this value for r into the formula for the area of a circle, we get:

A = π * (5.5 cm)^2

= π * 30.25 cm^2

= 30.25π cm^2

Therefore, the area of the circle is 30.25π cm^2.

nearly a quarter of the texas gulf coast is national seashore or state park. At 372 miles long, it is undergoing a seaward advance at the rate of about .0095 mile per year. find the length of the texas shoreline in km. 1 mile = 1.61 km

Answers

If one quarter of the Texas Guff coast is national seashore or state park  at the given figures, the length of the Texas shoreline is 0.8835km

How to determine the length?

The length is the measure of how long the shoreline is.

The given parameters sare

mileage of the seashore = 372 miles

Advancement of 0.0095 miles per year.

1/4 taken as gulf coast

Applying these parameters we have

372*0.0095*1/4*12

⇒ 96.102 miles

= 96.102/1000 = 0.96102 km

1000 miles = 1km

Therefore divide the value by 1000 to get

Therefore the length is 0.96102km

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6√-48


please help with this question

Answers

Answer:

24i√3

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

I tried.

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Glenn suffers from depression. He frequently thinks of situations as overwhelmingly bad, with no hope of future improvement. Glenn would most benefit from _____ therapy. while criminal behavior answers to criminal law, claims by one private party against another are guided by ______ . why would some sets of lines appear sharply focused and dark while others are blurred and less dark if someone has an astigmatism? what does wiesel mean when he says that human dignity is in jeopardy in pargrph 7 What does this passage suggest about Orwell's attitude toward overturning dictatorships and restoring freedom? Read this excerpt from "The Unseen Values." Many of the beneficial results can be identified. Those already showing up are detailed in the sections of this report which follow. They include the most urgent and precious of all commoditiesnational security. 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Contact a few information systems professionals and ask them what types of operating systems they use in their organizations. (Alternatively, you may browse through articles in business periodicals for the same information.) Fill in the table with information about the operating systems used in four different organizations. Also, give reasons for each companys choice of operating systems. question 6 you are creating a dashboard in tableau to share with stakeholders. why might you decide to pre-filter the dashboard? select all that apply. Oliver has written the following rough draft about the fall of one of the classical empires. Choose the correct way to complete each sentence. The ___ fell as the government became too unstable and weak to fight Huna invaders, promote trade, or maintain public projects. Fortunately, the empire influenced future generations with its highly developed sculptures, elaborate architecture of Hindu temples, and the creation of ___ literature. Eventually, the empire was reunited. Historians believe that one reason was that people maintained a ___ common . The first options are-Gupta Empire-Han Dynasty-Roman EmpireThe second ones are-Calligraphy -Classical-SanskritAnd the last ones are-Educational System -Enemy-Language -Religion In the column, the red (water) substance has a _____________ density than the black (corn syrup) substance. 18 points Consider a graphical representation (figure) of simple harmonic motion as described mathematically in equation x(t) A cos(ur-d). When the particle is at point, P, on the graph (red dot), what can you say about its position, velocity and acceleration?a. The position is positive, and the velocity is negativeb. The position is negative, and the velocity is positivec. The position and velocity are both negatived. The position and velocity are both positivee. The acceleration is positivef. 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