Which of the following sets would have a graph with an open circle on 5 and a ray pointing left on the number line?

A. {x | x R, x < 5}
B.{x | x R, x > 5}
C.{x | x R, x ≤ 5}

Answers

Answer 1

{x | x ∈ R, x < 5} would have a graph with an open circle on 5 and a ray pointing left on the number line.

What is an interval notation?

In interval notation, the set {x | x R, x < 5} can be written as (-∞, 5). The symbol (-∞) represents negative infinity, which means all numbers less than any finite number.

So, the interval (-∞, 5) includes all real numbers less than 5, but does not include 5 itself.

To graph this set on a number line, we would draw an open circle at the point 5, because 5 is not included in the set. Then, we would draw a ray pointing to the left, because the set includes all numbers less than 5.

The ray extends indefinitely to the left, because there is no greatest number that is less than 5.

Therefore, the graph of the set {x | x R, x < 5} on a number line would have an open circle at 5 and a ray pointing to the left.

What does an open circle on a number line indicate?

An open circle on a number line indicates that the number is not included in the set.

To know more about Open Circle visit

brainly.com/question/30034329

#SPJ1


Related Questions

Help me find the slope of the line for each one it’s ok if you don’t know all of them

Answers

Answer:

1. 1/2

2. -4/1

3. 1/1

Step-by-step explanation:

Answer:

1 y=2/1+2

2 y=.25x+3

3 y=x-2

Step-by-step explanation:

Step-by-step

y=mx+b

1. 2

2. .25

3. 1

Charlotte invested $730 in an account paying an interest rate of 3≥% compounded continuously. Khalil invested $730 in an account paying an interest rate of 33 % compounded daily. After 8 years, how much more money would Khalil have in his account than Charlotte, to the nearest dollar?

Answers

Answer:

Khalil would have $1,845 more than Charlotte, to the nearest dollar.

Step-by-step explanation:

the current in a certain river is known to be 2 kph. at full throttle, a boat makes a 4 km trip in this river (2 km upstream and 2 km downstream)in a total of 11 minutes. at full throttle, what is the speed of the boat in still water?

Answers

The speed of the boat in still water is 5 km/h.

Let's denote the speed of the boat in still water as "v" (in km/h). Since the boat travels 2 km upstream and 2 km downstream, we know that the total distance traveled is 4 km.

Let's first calculate the time taken to travel 2 km upstream. We know that the current is flowing at 2 km/h, so the effective speed of the boat relative to the river is (v - 2) km/h (since it is going against the current). Therefore, the time taken to travel 2 km upstream is

time taken = distance / speed = 2 / (v - 2) hours

Similarly, the time taken to travel 2 km downstream is

time taken = distance / speed = 2 / (v + 2) hours

The total time taken for the round trip (2 km upstream and 2 km downstream) is given as 11 minutes, which is equivalent to (11/60) hours. Therefore, we can write

2 / (v - 2) + 2 / (v + 2) = 11/60

Multiplying both sides by (v - 2)(v + 2) gives

2(v + 2) + 2(v - 2) = (v - 2)(v + 2)(11/60)

Simplifying the right-hand side gives

(v - 2)(v + 2)(11/60) = (11/3)v^2 - 44/3

Substituting this expression into the previous equation and simplifying gives

22v = (11/3)v^2 - 44/3

Multiplying both sides by 3 gives

66v = 11v^2 - 44

Rearranging and solving for v using the quadratic formula gives

v = (11 ± √(11^2 + 4×44))/22

Taking the positive solution (since v must be positive) gives

v = 5 km/h

Learn more about speed here

brainly.com/question/15147118

#SPJ4

an open rectangular gutter is made by turning up the sides of a piece of metal 20 in wide. the area of the cross section of the gutter is 50 in^2 find the depth of the gutter

Answers

x(20-2x)=50
20x-2x^2-50 = 0
x^2-10x+25 = 0
(x-5)^2 = 0
x=5
I think this is the answer I’m not for sure tho

Every person in a group of 1000 people has a 1% chance of being infected by a virus. The process of being infected is independent from person to person. Using random variables, write expressions for the following probabilities and solve them with R.
(a) The probability that exactly 10 people are infected.
(b) That probability that at least 16 people are infected.
(c) The probability that between 12 and 14 people are infected.
(d) The probability that someone is infected.

Answers

Every person in a group of 1000 people has a 1% chance of being infected by a virus. The process of being infected is independent from person to person. Using random variables, write expressions for the following probabilities and solve them with R(a) The probability that exactly 10 people are infected

Solution:

a)Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01.

Then, P(X = 10) = dbinom {1000}{10} $ $(0.01)^{10}$ $(1-0.01)^{990}

Using R, the expression for the probability that exactly 10 people are infected is:

p1 <- dbinom(10, 1000, 0.01)Ans: p1

(b) That probability that at least 16 people are infected.

Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01.

Then, P(X ≥ 16) = 1 - P(X ≤ 15) = 1 - $\sum\limits_{i=0}^{15}$ $ \dbinom {1000}{i} $ $(0.01)^i$ $(1-0.01)^{1000-i}$Using R, the expression for the probability that at least 16 people are infected is:

p2 <- 1-pbinom(15, 1000, 0.01)Ans: p2

c) The probability that between 12 and 14 people are infected

.Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01

. Then, P(12 ≤ X ≤ 14) = $\sum\limits_{i=12}^{14}$ $ \dbinom {1000}{i} $ $(0.01)^i$ $(1-0.01)^{1000-i}$Using R, the expression for the probability that between 12 and 14 people are infected is:

p3 <- sum(dbinom(12:14, 1000, 0.01))Ans: p3

d) The probability that someone is infected

.Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01.

Then, P(X ≥ 1) = 1 - P(X = 0) = 1 - $ \dbinom {1000}{0} $ $(0.01)^0$ $(1-0.01)^{1000-0}$Using R, the expression for the probability that someone is infected is:

p4 <- 1-dbinom(0, 1000, 0.01)Ans: p4

To know more about binomial distribution:

https://brainly.com/question/31197941

#SPJ11

Show how to change 9^8/7 into a radical expression

Answers

Answer:

Rewrite the expression using the negative exponent rule b−n=1bn b - n = 1 b n . 1y98 1 y 9 8.

Step-by-step explanation:

a patient is purchasing acetaminophen 500 mg tablets over-the-counter and asks the pharmacist how many they can take. what is the maximum number of tablets the pharmacist will tell them they should take of this product per day?

Answers

8 is the maximum number of tablets the pharmacist will tell them they should take of this product per day.

According to FDA guidelines, the maximum daily dosage of acetaminophen for healthy adults should not exceed 4,000 milligrams. This equates to a maximum of eight 500 mg tablets per day. It's essential to remember that the recommended dosage may differ based on individual factors such as age, weight, and medical conditions. Therefore, it's crucial to consult with a healthcare provider or licensed pharmacist before taking any medication. Always follow the recommended dosage and avoid exceeding the daily limit to prevent potential health risks associated with acetaminophen overdose.

To learn more about number click here

brainly.com/question/17429689

#SPJ4

Compounds angles identities

Answers

Answer:

Compound angle identities are trigonometric identities that relate the trigonometric functions of the sum or difference of two angles to the trigonometric functions of the individual angles.

The main compound angle identities are:

1. sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)

2. cos(A ± B) = cos(A)cos(B) ∓ sin(A)sin(B)

3. tan(A ± B) = (tan(A) ± tan(B)) / (1 ∓ tan(A)tan(B))

where A and B are any two angles.

These identities can be used to simplify trigonometric expressions, solve trigonometric equations, and prove other trigonometric identities.

For example, we can use the compound angle identity for sin(A + B) to find sin(π/4 + π/6):

sin(π/4 + π/6) = sin(π/4)cos(π/6) + cos(π/4)sin(π/6)

sin(π/4 + π/6) = (√2/2)(√3/2) + (√2/2)(1/2)

sin(π/4 + π/6) = (√6 + √2) / 4

Compound angle identities are an important part of trigonometry and are used in various fields such as physics, engineering, and mathematics.

a quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. suppose that 60% of the bulbs in the lot are defective. what is the standard deviation of the number of defective bulbs in the sample? round your answer to two decimal places.

Answers

The standard deviation of the number of defective bulbs in a sample of 11 light bulbs, where 60% are defective, is 1.53, rounded to two decimal places.

The number of defective bulbs in a sample of 11 light bulbs follows a binomial distribution with parameters n = 11 and p = 0.6, where n is the sample size and p is the probability of a defective bulb.

The standard deviation of the binomial distribution is given by the formula:

σ = sqrt(np(1-p))

where σ is the standard deviation, n is the sample size, p is the probability of success (defective bulb), and (1-p) is the probability of failure (non-defective bulb).

Substituting the values into the formula, we get:

σ = sqrt(11 * 0.6 * 0.4) = 1.53

Therefore, the standard deviation of the number of defective bulbs in the sample is 1.53, rounded to two decimal places.

To know more about standard deviation:

https://brainly.com/question/23907081

#SPJ4

Suppose you were given the function F(x) = x4 - 2x³ + 3x² - 10x + 3 and
the factor (x - 2). What is the value of a?

Answers

The  value of x =is 7.5.

What are function?

Any subset of a Cartesian product is a relation.

For instance, a subset of is known as a "binary relation from A to B," and in specifically, a subset of is known as a "relation on A."

These ordered pairs (a,b) with first components from A and second components from B make up a binary relation from A to B.

A function is a relation that links every item in a set X to a single item in a different set Y. (possibly the same set).

A graph, which is the collection of all ordered pairs (x, f (x)), serves as the sole representation of a function.

As you can see from these definitions, every function is a relation from X to Y, but not vice versa .

F(x)=x^4-2x^3+3x^2 - ax+3

F(2) = 2^4-2(2)^3+3(2)^2 - a(2) +3

F(2) = 16 - 16 + 12 - 2a +3

F(2) = 15 - 2a

15 - 2a = 0

15 = 2a

a = 7.5

Hence, The  value of x =is 7.5.

Learn more about function here:

brainly.com/question/2253924

#SPJ1

the radius of a right circular cone is increasing at a rate of 1.6 in/s while its height is decreasing at a rate of 2.5 in/s. at what rate is the volume of the cone changing when the radius is 136 in. and the height is 110 in.?

Answers

When the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.

The volume of a right circular cone is given by the formula V = (1/3)*πr²h, where r is the radius and h is the height. Thus, when the radius is increasing at a rate of 1.6 in/s and the height is decreasing at a rate of 2.5 in/s, the rate of change of the volume (dV/dt) is given by:

dV/dt = (1/3)*π(1.6r + 2.5h)

Substituting r = 136 in. and h = 110 in., we get

dV/dt = (1/3)*π(216 + 275) = 109.76 in³/s

Therefore, when the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.

See more about volume at: https://brainly.com/question/29075763

#SPJ11

Which expression is equivalent to the following complex fraction?

Answers

The expression that is equivalent to the following complex fraction is this: B. -2y + 5x/3x -2y.

What is an equivalent expression?

An equivalent expression is one that produces the same result as the given one when simplified. To get the equivalent expression, we simply need to simplify the expression above and the one underneath.

After finding the lowest common multiples of the figures underneath and the ones above, the next thing to do will be to multiply by the numerators.

-2/x + 5/y = -2y + 5x

Also:

3/y - 2/x = 3x - 2y

So, option B is an equivalent expression of the complex fraction.

Learn more about complex fractions here:

https://brainly.com/question/29635467

#SPJ1

Ally chooses a whole number
Write a number that Ally could have started with

Answers

Ally could have started with any whole number, including 0, 1, 2, 3, 4, etc. Whole numbers are numbers that don't contain any fractions, decimals, or negative numbers.

For example, 1/2 is not a whole number, but 2 is a whole number. When Ally chooses a whole number, she could choose any number that fits this criteria. For example, she could choose 0, 1, 4, 17, 100, or any other whole number.
Ally chooses a whole number. The whole numbers are integers that are greater than zero. It includes all the natural numbers (1, 2, 3, ...) and zero. Let's assume Ally selected a whole number as the question mentioned, we will have to determine the possible number options that Ally could have chosen.One whole number that Ally could have chosen could be 1. Since 1 is the first natural number, it is the smallest whole number. The other whole numbers are greater than 1. The next smallest whole number is 2, followed by 3, then 4, and so on.

There are an infinite number of whole numbers since they continue infinitely in both positive and negative directions. There is no limit to the largest or smallest whole number; therefore, Ally could have begun with any whole number.

For more such questions on whole number  

https://brainly.com/question/29207899

#SPJ11

Each prism has the same volume. Which has the least surface area? Explain or show your
reasoning.

Answers

This means that the cube will have less surface area than the rectangular prism.

What is surface area?

Surface area is a measure of the total exposed area of an object, or the total area of its two-dimensional surface. It is a measurement of the total exposed area of a three-dimensional object and is used to calculate the amount of material needed to cover a given area. Surface area is commonly used in physics, chemistry, engineering, and mathematics.

The prism with the least surface area of the same volume is the cube. This is because a cube has equal length, width, and height, allowing for all of the sides to be equal in size. This means that the area of each side is the same and all six sides of the cube are congruent. This creates the least amount of surface area for a given volume, as compared to any other prism. To illustrate this, take a cube and a rectangular prism with the same volume. The cube will have 6 smaller sides, while the rectangular prism will have 5 larger sides and 1 smaller side. This means that the cube will have less surface area than the rectangular prism.

To know more about surface area click-
https://brainly.com/question/1297098
#SPJ1

A cylinder has a height of 20 feet. Its volume is 7,598.8 cubic feet. What is the radius of the cylinder?

Answers

Answer:

The radius is approximately 11 feet. More exactly 10.997 when rounded to the nearest thousandth.

Step-by-step explanation:

A cylinder has a height of 20 feet.

h = 20

Its volume is 7,598.8 cubic feet.

V = 7598.8

The formula for the volume of a cylinder is:

V = pi•r^2•h

Fill in what is given.

7598.8 = pi•r^2•20

Now there is only one variable in the equation, r and we can solve for it.

Divide both sides by 20pi.

120.938658 = r^2

We will have to square root both sides to find r.

10.997 = r



So the radius is 10.997 feet (to the nearest thousandth) or round to 11 feet.

help i don’t know how to solve number 11, please

Answers

Answer: 21, 32. 6, 12.

Step-by-step explanation:

10 + 3d = 43. 3d = 33. d = 11.

3 x [tex]r^{3}[/tex] = 24. [tex]r^{3}[/tex] = 8. r = 2.

PLSSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

8

Step-by-step explanation:

4c ÷ 2 x 2       c=8


4 x 8 ÷ 2 x 2

4 x 8 ÷ 4

You can cancel the 4’s or multiply 4 x 8 then divide by 4, which is 8 :)

Given:-

[tex] \tt \: c = 8[/tex]

[tex] \: [/tex]

[tex] \tt{4c ÷ ( 2 \times 2 ) ---eqⁿ}[/tex]

[tex] \: [/tex]

Solution:-

[tex] \tt \: 4c ÷ ( 2 \times 2 )[/tex]

[tex] \: [/tex]

now , put the given value of c = 8 in equation

[tex] \tt \: 4 ( 8 ) ÷ ( 2 \times 2 )[/tex]

[tex] \: [/tex]

[tex] \tt \: 32 ÷ 4[/tex]

[tex] \: [/tex]

[tex] \boxed{ \tt{ \pink{ \: \: 8 \: \: }}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━

hope it helps ⸙

On social issues, _____ think people should be liberated from the ways of the past and able to decide for themselves about how to live

Answers

On social issues, progressives think people should be liberated from the ways of the past and able to decide for themselves about how to live.

Progressivism is a political and social philosophy that emphasizes individual liberty, equality of opportunity, and the role of government in protecting citizens from social and economic abuses.Progressives believe that people should be free to make their own choices about how to live their lives and that the government should not interfere with their decisions. They believe that individuals should have the right to make choices regarding their personal lives, including decisions about marriage, sexuality, and reproductive health.Progressives also advocate for the protection of the environment and the promotion of sustainable practices.

They believe that it is the government's responsibility to protect the natural world and to ensure that future generations have access to clean air, water, and food.In addition, progressives advocate for social justice and the elimination of discrimination on the basis of race, gender, sexuality, and religion. They believe that everyone should have equal access to education, healthcare, and other basic services, regardless of their background or socioeconomic status.Overall, progressives believe in the power of individuals to make positive changes in their own lives and in the world around them. They believe that by working together and advocating for social and economic justice, we can create a better future for ourselves and for future generations.

for such more questions on Progressivism

https://brainly.com/question/115015

#SPJ11

suppose that 65% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. consider groups of 17 trucks and let x be the number of trucks in a group that have passed the inspection. what is the probability that at least 9 but fewer than 12 trucks pass the inspection?

Answers

There is a 55.75% probability that at least 9 but fewer than 12 trucks pass the inspection out of a group of 17 trucks undergoing a brake inspection at the inspection facility with a pass rate of 65%.

We can utilize the binomial distribution formula to resolve this issue. Out of a group of 17 trucks, let X represent the proportion of trucks that pass the inspection, and let p represent the probability of passing the test, which is 0.65. A binomial distribution with n = 17 and p = 0.65 is then followed by X.

Calculating the cumulative chance of receiving 9, 10, or 11 trucks passing the inspection can help us determine the likelihood that at least 9 but fewer than 12 trucks will pass the test. The binomial distribution formula can be used for this as follows:

P(X=9, X=10, X=11) = P(X=9, X=10, X=11)

Using the binomial distribution formula, we can get the probabilities for each of the following:

[tex]P(X=9) = (17 pick 9) (17 choose 9) * 0.65^9 * 0.35^8[/tex] = [tex]0.1837 \sP(X=10)[/tex] = [tex](17 select 10) (17 choose 10) P(X=11)[/tex] = [tex](17 select 11) * 0.65*10 * 0.35*7[/tex] = [tex]0.2197 * 0.65*11 * 0.35*6 = 0.1541[/tex]

In light of this, the likelihood that at least 9 but not all 12 vehicles pass the inspection is:

P(9 ≤ X < 12) = 0.1837 + 0.2197 + 0.1541 = 0.5575

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

if 10 friends are going to occupy 10 seats in shuttle on the way to the airport, how many different ways can they arrange themselves in the shuttle? provide your answer below:

Answers

If 10 friends are going to occupy 10 seats in a shuttle on the way to the airport, then they can arrange themselves in the shuttle in 10! or 3,628,800 ways.

Step-by-step explanation: There are 10 friends and 10 seats to be occupied in a shuttle.

Therefore, the number of ways to arrange the 10 friends in 10 seats is given by 10! (10 factorial), which is calculated as follows: 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1= 3,628,800

Therefore, 10 friends can arrange themselves in the shuttle in 3,628,800 ways.

To know more about seating arrangement problems: https://brainly.com/question/30983234

#SPJ11

a 13 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?

Answers

The top of the ladder is 12 feet above the ground, the bottom of the ladder will be moving away from the wall at a rate of 0.096 ft/s.

The question is: a 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?

To answer this question, we can use the concept of right triangle geometry. We know that when the top of the ladder is 12 feet above the ground, the bottom of the ladder is 13 feet away from the wall.

We can use the Pythagorean Theorem to calculate the hypotenuse of this right triangle, which is the total length of the ladder. This will allow us to calculate the rate at which the bottom of the ladder is moving away from the wall.

The Pythagorean Theorem states that

a^2 + b^2 = c^2,

where a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse.

In this case, a is 12 and b is 13.

Therefore,

122 + 132 = c^2, or c^2 = 169.

Therefore, c = 13.04 feet.

This is the total length of the ladder.

We now have the total length of the ladder, so we can calculate the rate at which the bottom is moving away from the wall.

Since we know the top is moving at a rate of 1.25 ft/s, and the total length of the ladder is 13.04 feet, the bottom must be moving at a rate of (1.25/13.04) = 0.096 ft/s.

For similar question on Pythagorean Theorem

https://brainly.com/question/231802

#SPJ11

In ∆DEF, m∠D=42°, m∠E=63°, and EF=24 in. What is DE to the nearest tenth of an inch? *Hint: Law of Sines

Answers

DE is approximately 30.3 inches to the nearest tenth of an inch.

Describe  Law of Sines?

The Law of Sines is a trigonometric formula used to find unknown sides and angles in any triangle, whether it is acute, obtuse, or right-angled. It relates the lengths of the sides of a triangle to the sine of the opposite angle.

The formula for the Law of Sines is:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the opposite angles.

We can use the Law of Sines to solve for DE.

The Law of Sines states that for any triangle ABC,

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the side lengths opposite the angles A, B, and C, respectively.

In this case, we know that:

m∠D = 42°

m∠E = 63°

EF = 24 in.

Let x be the length of DE.

Then, applying the Law of Sines to ∆DEF, we have:

x/sin(63°) = 24/sin(42°)

Solving for x, we get:

x = (24*sin(63°))/sin(42°) ≈ 30.3

Therefore, DE is approximately 30.3 inches to the nearest tenth of an inch.

To know more about angles visit:

https://brainly.com/question/17738179

#SPJ1

a bag contains 3 black ,4 red and 2 green balls if two balls are drawn at random what's the probability of getting exactly 2 balls

Answers

Answer:9 red

Step-by-step explanation:

Consider the following equivalent resonance structures for the carbonate anion. Charges have not been shown.
What is the average formal charge on each oxygen atom?
answerable question reference
A -0.33
B -0.67
C -1
D 0.33
E 0.67

Answers

 This is an example of resonance where all three structures contribute to the description of the anion and none of them are more accurate than the others. The sum of the formal charges for each of the resonance structures is equal to the net charge of the anion.

The carbonate anion can be represented by three equivalent resonance structures. These structures differ in the placement of electrons and the distribution of formal charges on the individual atoms. Structure B has a formal charge of -0.67 on the oxygen atom and a formal charge of 0.33 on the carbon atom.

Structure D has a formal charge of 0.33 on the oxygen atom and a formal charge of -0.67 on the carbon atom. Structure E has a formal charge of 0.67 on the oxygen atom and a formal charge of -0.67 on the carbon atom.

for such more questions on resonance structures

https://brainly.com/question/419650

#SPJ11

what is the value of x ?

Answers

Answer:  98.5 if this is wrong im sry.

Step-by-step explanation:

Find the perimeter of the triangle shown below.
:48
:96
:120
:160

12

20 H

16

Answers

Answer:

48

Step-by-step explanation:

[tex]perimeter = a + b + c \\ = 12 + 20 + 16 \\ = 48[/tex]

can sombody help me
Simplify. (4k2−12)−(6k2−3k−10)

Answers

Answer:

n

Step-by-step explanation:

n

Answer: -2k^2+3k-2

Step-by-step explanation:

distribute

add

combine like terms

rearrange

Simon is making a frame for a photo that measures 6 inches by 8 inches. He wants the frame to be the same width all the way around and the total area of the frame and photo to be 120 square inches. Which quadratic equation represents the area of the picture and frame?​

Answers

Answer: A

Step-by-step explanation:

I need this done for me please

Answers

The system of inequalities 3 and 4 have no solutions, while other solutions are computer below

Solving the system of inequalities

The given system of inequalities can be solved by graph

To solve a system of inequalities by graph, you will need to follow these steps:

Graph each inequality on the same coordinate plane.Identify the region that satisfies all of the inequalities. This region is the solution to the system of inequalities.If the region is bounded (i.e., has a finite area), then the solution is a set of points within the region. If the region is unbounded (i.e., has an infinite area), then the solution is a set of points that lie in a specific direction.

The graphs are added as an attachment, and the some points in the system are as follows:

System 1: (0, 5)System 2: (5, -5)System 3 and 4: No solutionSystem 5, 6 and 7: (5,4)System 8: (0, 0)

Read more about system of inequalities at

https://brainly.com/question/23093488

#SPJ1

two people start from the same point. one walks east at 9 mi/h and the other walks northeast at 8 mi/h. how fast is the distance between the people changing after 15 minutes? (round your answer to three decimal places.) mi/h

Answers

The distance between the two people is changing at a rate of 24.884 mi/h after 15 minutes.

We can use the Pythagorean theorem to determine the distance between the two people as a function of time. Let x be the distance traveled by the person walking east, and y be the distance traveled by the person walking northeast. Then, after 15 minutes (or 0.25 hours), we have:

x = (9 mi/h) * (0.25 h) = 2.25 mi

y = (8 mi/h) * (0.25 h) = 2 mi

The distance between the two people is given by:

[tex]d = sqrt(x^2 + y^2)[/tex]

Taking the derivative with respect to time t, we get:

[tex]d' = (2x dx/dt + 2y dy/dt) / (2sqrt(x^2 + y^2))[/tex]

Substituting the values we found earlier, we get:

[tex]d' = (2(2.25)(9) + 2(2)(8)) / (2sqrt((2.25)^2 + (2)^2))= 24.884 mi/h[/tex]

Find out more about distance

brainly.com/question/28851697

#SPJ4

Other Questions
what primary factors contribute to the complexity of calculating the total cost of ownership (tco) when migrating to the cloud? select the two correct answers. helppppppppp plsssssssssssssssssss the immune system of a client with an infection has created complement proteins. what immunologic response is most likely to result from complement proteins? a chemist mixes of water with of methanol and of 2-methylpyrazine. calculate the percent by mass of each component of this solution. be sure each of your answer entries has the correct number of significant digits. Put the items below into order of length, from shortest to longest. Car Mobile phone Football pitch Tennis racket Paper clip S if the marginal propensity to consume is .75, and the federal government increases spending by $100 billion, the income expenditure model would predict that real gdp will increase by: True or False: Market forces determine interest rates based ultimately on the willingness of individuals, banks, and firms to borrow, save, and lend. Find the work done in moving a particle from P to Q if the magnitude and direction of the force are given by v.P(2,9), Q(12,8), v=3i-6j What most likely happened in the game below when analyzing the win probability chart?Group of answer choicesTB started as the favorite, then fell behind most of the game, and then had a last minute comebackTB led the entire game and ended up winningNO started as the favorite and then had a comeback at the end of the game gaap allows for companies to elect to account for most assets and liabilites at fair value ofn the balance sheet. which is an exception? Determine the surface area of a square pyramid that has a perimeter of 32 cm and a slant height of 15 cm The associative property works with expressions that useAdivision and subtraction. Baddition and subtraction. Cmultiplication and division. Dmultiplication and addition the high school dropout rate in the united states is greater than 25 percent. c. wright mills would classify this situation as What is the purpose of this article? 1- In 1931, the American historian and writer James Truslow Adams wrote a book called "The Epic of America." Like many others, this book told the history of our nation. But unlike most history books, "The Epic of America" did not focus on events. Instead, it focused on average people. The book told the nation's history by emphasizing the ways in which the average American had changed.2- Adams stated that the American dream is "that dream of a land in which life should be better and richer and fuller for everyone." In this dream, a person's talent and dedication would determine their opportunities. This American dream was not about material possessions or money. Instead, it was a dream of a society. In this society, each man and woman could reach the highest place that their levels of talent and dedication would allow. That person would be recognized by others for what they are. Where they were born or who their family was did not matter.3- The authors of the United States Declaration of Independence believed that certain ideas were true. They believed that all men were created equal. They believed that all men were given certain rights that could not be taken away. These rights, according to the founding fathers, include the right to "life, liberty and the pursuit of happiness." Is the American dream based on this idea?The dream keeps on changing4- Consider the people of the 1850s who first settled the American West. They left the big cities of the east to find their piece of land in the unknown wilderness. Were these people following these Rights? What about the immigrants who came to the United States? Were they seeking their bit of life, liberty and the search for happiness, their dream? The soldier who returned home after World War II wished to settle down and to have a home, a car and a family. What does this desire tell us about how this dream has changed over time? Is the American dream attainable by all Americans?5- What does the freedom to pursue a better life involve to most Americans? To many, it often involves a nice house, a car or two and a more comfortable life than their parents had. A countless number of "Rags to Riches" stories have been fueled by this idea. Presidents have started out in log cabins. Highly successful entrepreneurs have come to America as penniless immigrants. Bill Gates, a man who dropped out of college, became the richest man in the world.6- Is hard work and dedication always rewarded? The American novelist Horatio Alger, Jr. wrote many stories about this idea in the 1800s. The young heroes of his books "pulled themselves up by their bootstraps" and proved America to be the land of opportunity.7- Some say that the American dream has become the search for material wealth. Today, people work more hours to get bigger cars, fancier homes and what they view as better lives for their families. As a result, they have less time to enjoy this wealth. Others say that the American dream is beyond the grasp of the working poor. What is the American dream for someone who must work multiple jobs to support their family? Yet others focus less on making more money. They place more emphasis on living a simple, fulfilling life. That is the American dream to them.8- The American novelist Thomas Wolfe said that every man, no matter where he was born, had certain rights. These included "the right to live, to work, to be himself and to become whatever thing his manhood and his vision can ... make him."Is this your American dream? suppose a 20.0-kg monkey climbs a vine. what is the tension in the vine if they climbs at a constant speed? what change in chromosome structure occurs when a piece of one chromosome breaks off and is attached to another chromosome? 2. What is Abigail Adams' main point in excerpt B?1 point(A) "I long to hear that you have declared an independency. And, by the way, in the new codeof laws which I suppose it will be necessary for you to make, I desire you wouldremember the ladies and be more generous and favorable to them than your ancestors."(B) "Do not put such unlimited power into the hands of the husbands. Remember, all menwould be tyrants if they could. If particular care and attention is not paid to the ladies, weare determined to foment a rebellion, and will not hold ourselves bound by any laws inwhich we have no voice or representation."- Abigail Adams, letter to her husband John Adams, 1776a. If women are not considered in the creation of new laws for the United States,women will not follow those laws. b. Democracies always collapse into tyrannies led by men.c. She is warning of the possibility of rebellion by indigenous groups.d. All of the above what extraneous solution arises when solving for the point of intersection of the line f(x)=-1/2x+6 and the square root function f(x)= x-4 83 PTS!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. What is speed? Please respond in 1-2 complete sentences using your best grammar.