A subset A of R has the property that, given ε > 0 and x ∈ R, there exist a, b ∈ R with a ∈ A and b 6∈ A, such that |x − a| < ε and |x − b| < ε. Can A be countable? Can A be uncountable?

Answers

Answer 1

No, a set with the given property cannot be countable.

Yes, a set with the given property can be uncountable.

This property is known as being "dense in R," and a classic example of a dense, uncountable set is the set of real numbers, R itself.

A set is a logically arranged group of items that can be represented in either set-builder form or roster form in mathematics. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements.

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Related Questions

A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 6 inches and a base of 8 inches. The area of the hexagonal base is 166.3 square inches.

What is the surface area of the pyramid?

Enter your answer in the box.

Answers

The surface area of the pyramid is A = 386.24 inches²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of hexagonal pyramid be represented as A

Surface area of hexagonal pyramid = Area of base + area of lateral surface

Area of the base = 166.3 inches²

Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )

where a = 8 inches

h = 6 inches

Substituting the values in the equation , we get

Area of the lateral surface = ( 3 x 8 ) √ ( 36 + ( 3 x 64 / 4 ) )

On simplifying the equation , we get

Area of the lateral surface = 219.96 inches²

So , Surface area of hexagonal pyramid = Area of base + area of lateral surface

Surface area of hexagonal pyramid A = 166.3 inches² + 219.96 inches²

Surface area of hexagonal pyramid A = 386.24 inches²

Hence , the surface area of hexagonal pyramid is 386.24 inches²

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−5b + 5 ≤ −75 i don't understand this and i have to put it on a number line to

Answers

Answer is

Step by step

-5b + 5 ≤ -75
Subtract 5 from both sides to isolate b

-5b + 5 -5 ≤ -75 -5
Simplify

-5b ≤ -80
Divide both sides by -5 to solve for b

-5/-5 b ≤ -80/-5
Simplify and switch the sign since that’s the rule when you divide by a negative with inequalities

b ≥ 16

Your number line is attached

What is -2/3 x (-4/8) in simplest form?

Answers

Answer: 2/3

Step-by-step explanation:

First you multiply both numerators which equals 8

Then, you multiply the denomerators which is 24

This gives you 8/24

Since both 8 and 24 are divisible by 8, you divide them by 8 and you get 1/3

Since two negative numbers equal a positive one, the answer is positive

which of the answer choices is a correct grouping of the following trinomial? −10x2 13x 3

Answers

The correct grouping of the trinomial "-10x² + 13x + 3" is option 4, (-10x² + 0x) + (13x + 3).

To find the correct grouping, we need to factor out the greatest common factor from the first two terms, -10x² + 13x.

The greatest common factor of -10x² and 13x is -x². So, we can factor out -x² and get:

-x² * (10 - 13/x) + 3 = (-x² * 10) + (13/x - x²) + 3 = (-10x² + 7x) + (6x + 3)

Therefore, choice 3 is the correct grouping of the trinomial -10x² + 13x + 3.

A trinomial is a mathematical expression consisting of three terms. It is a polynomial of degree three and has the general form ax³ + bx² + cx + d, where a, b, c, and d are constants and x is a variable.

Complete Question:

'which of the answer choices is a correct grouping of the following trinomial? −10x² 13x 3

1. (-10x² + 5x) - (6x + 3)

2.(-10x² + 2x) +(15x + 3)

3.(-10x² + 7x) +(20x + 3)

4.(-10x² + 0x) +(13x + 3)

5.(-10x² + 0x) - (x + 3)

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Find the area of the composite figure below. (semicircle). Round to the nearest tenth. Use π = 3.14

Answers

Answer:

233.5

Step-by-step explanation:

1) Find the area of the rectangle

Area of rectangle = l × w12 × 11 = 132

2) Find the area of the triangle

Area of triangle = (l × w) ÷ 2L = 20 - 11 = 99 × 12 = 108108 ÷ 2 = 54

3) Find the area of the semicircle

Area of semicircle = (πr²) ÷ 2Radius = diameter ÷ 2 = 11 ÷ 2 = 5.5πr² = 3.14 × 5.5² = 94.98594.985 ÷ 2 = 47.4925

4) Add the results together

132 + 54 + 47.4925 = 233.4925

5) Round the nearest tenth

233.4925 = 233.5

Have a lovely day :)

is k=10/3 is dilated by a scale factor below, the dilation is a reduction or enlargement?

Answers

The scale factor of K = 10/3 represents enlargement.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the scale factor of K = 10/3.

For the scale factor of {K} > 1, the dilation is enlargement and for the scale factor of {K} < 1, the dilation is reduction.

Now -

10/3 > 1

So, it represents the enlargement.

Therefore, the scale factor of K = 10/3 represents enlargement.

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Please help with my math question

Answers

Answer:

Below

Step-by-step explanation:

From hour 1 to 2 pay goes from 90 to 120   or 30 dollar increase per hour

slope = rise / run =  (120-90) / (2-1) =  30  dollar/hr

Three ferry services A,B and C leave from a same jetty at different intervals. Services A,B and C leaves the jetty once every 8 minutes, 12 minutes and 15 minutes respectively. If the ferries first leave together at 10:15 a.m, when will they next leave together again.

Answers

The time that the ferries will leave together next, given the time they leave the jetty would be 12 : 15 pm

How to find the time ?

The ferries leave at intervals of 8 minutes, 12minutes, and 15 minutes. To find  the time when they will all leave at the same time again, you need to find the lowest common multiple of 8, 12 and 15 as this would show the next time the ferries would be lined up together again.

The lowest common multiple of 8, 12 and 15 is 120 which in minutes is 2 hours.

The next time both ferries would leave together is:

= 10 : 15 + 2 hours

= 12 : 15 pm

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Solving Systems and Missing Angles

Answers

The solution to the system of equations is: D. (-4, -7).

How to Solve a System of Equations?

To solve the system of equations, y = (3/2)x - 1 and y = 3x + 5, you can set the two equations equal to each other and solve for one of the variables. For example, setting the two equations equal to each other:

(3/2)x - 1 = 3x + 5

Then you can solve for x by isolating it on one side of the equation:

(3/2)x - 3x = 5 + 1

-5x/2 = 6

x = -4

Now that you know the value of x, you can substitute it back into one of the equations to find the value of y:

y = (3/2)(-4) - 1 = -6 - 1 = -7

So the solution to the system of equations is x = -4, y = -7.

The solution is: (-4, -7).

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The urface area of a cylinder i 24π m². The ditance around the bae of the cylinder i 3π meter and the diameter of a bae of the cylinder i 4 meter. What i the height of the cylinder? Enter your anwer, a a implified fraction, in the box

Answers

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

A garage ha 2 mechanic. The Bob doe repair correctly on 105 car and
incorrectly on 35 car. Carl doe repair correctly on 51 car and incorrectly on 9 car. If an audit of repair i done, what i the probability that a repair done by the Bob i
done correctly and a repair from Carl wa done incorrectly?

Answers

The probability that a repair done by Bob is done correctly is 105/(105 + 35) = 3/4. The probability that a repair done by Carl was done incorrectly is 9/(51 + 9) = 9/60. The combined probability of both events happening is (3/4) * (9/60) = 3/20.

Bob & Carl Car Repair P-Calculation

The subject is about finding the joint probability of two independent events: a repair done by Bob being done correctly and a repair done by Carl being done incorrectly.

The answer was determined using the formula for joint probability: P(A and B) = P(A) * P(B), where P(A) is the probability of event A and P(B) is the probability of event B, and A and B are independent events. In this case, event A is a repair done by Bob being done correctly and event B is a repair done by Carl being done incorrectly. The probabilities of each event were calculated by using the number of correctly and incorrectly repaired cars done by each mechanic.

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At 2.4×10^8 years old, the Nyasasaurus parringtoni may be the oldest known dinosaur that lived on Earth. How many millions of years old is it?

Answers

Answer:

240000000

Step-by-step explanation:

2.4x100000000=240000000

The speed of sound is 1236km/h
how many meters per second

Answers

Answer:

343 meters per second (3 sf)

Step-by-step explanation:

1236km/h is basically 1236km per hour.

1km = 1000 meters

1h = 60 minutes

1m = 60 seconds

Using these rules, we can convert the kilometers and hour to meters and minutes and then to seconds.

---

1236km = 1236*1000

             = 1 236 000m

---

1h --> 1 236 000m

60m --> 1 236 000m

1m --> 1 236 000/60 = 20 600m

60s --> 20 600m

1s --> 20 600/60 = 343m (3 sf)

There are 343 (3 sf) meters per second.

THE PROBABILITY OF HOTTER DAY IS 55% AND OF COLDER IS 25%. WHAT IS THE PROBABILITY OF NOT BE THE SAME TEMPERATURE?

Answers

Answer:

The probability of not being the same temperature would be 100% - (55% + 25%) = 20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

so the probability of whole is 100%

which means the un same day is 55%+25%=80%

so we just use 100% to minus 80%=20%

i hope this helps

A scale on a map shows that 3 centimeters represents 10 kilometers.

What number of centimeters on the map represents an actual distance of 25 kilometers?

Answers

Based on the information we can infer that 25 km is equivalent to 7.5 cm on the map.

How to find the relationship between centimeters and kilometers on the map?

To find the relationship between centimeters and kilometers on the map we must take into account the following information:

3cm = 10km

According to the above, we must make a rule of three to find the equivalence of kilometers. Below is the procedure:

10km = 3cm25km = x

25km * 3cm / 10km = 7.5cm

According to the above, 7.5 centimeters would represent the 25 kilometers distance on the map.

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Tyesha is making a medium-length necklace. Write an expression that shows how much it will cost tyesha for the chain, pendant, and b beads that cost $1 each. Then find the total cost of the necklace if tyesha uses 30 beads

Answers

THE ANSWER IS 33$ BECAUSE YOU JUST ADD THE BEADS PLUS PENDANT PLUS CHAIN

solve the equation by trial and error method

3x+5=11

Answers

Answer:

x = 2

Step-by-step explanation:

3x + 5 = 11

Let x = 1. Let's substitute the value of x into the equation to check if it's correct.

3(1) + 5 = 3 + 5

            = 8

8 ≠ 11

x is not 1.

---

Let x = 3. Let's substitute the value of x into the equation to check if it's correct.

3(3) + 5 = 9 + 5

            = 14

14 ≠ 11

x is not 3.

---

Let x = 2. Let's substitute the value of x into the equation to check if it's correct.

3(2) + 5 = 6 + 5

            = 11

11 = 11 so you can see that the value of 2 for x satisfies the equation!

x = 2.

---

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!!⚠️⚠️⚠️⚠️

Answers

When solving an equation, it is important to check for extraneous solutions.

Extraneous solutionsAn extraneous solution is a solution to a problem that does not satisfy the original equation.To check for extraneous solutions, we must first solve the equation.In this case, we have 3√(x-2)-4=20, to which we can add 4 to both sides and divide by 3, so that (x-2)=8.We can then cancel the rational exponent to get x-2= or x-2= x = or x = 10.Finally, we can add 2 to both sides to get x = 12.We must now check for extraneous solutions.To do this, we must make sure that 12 satisfies the original equation.Substituting 12 for x into the original equation, we get 3√(12-2)-4=20.This equation is true, which means that 12 is a valid solution to the problem and that there are no extraneous solutions.

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Which is better, an ACT score of 28 or a combined SAT score of 2100 when
ACT: μ = 21 and σ = 5;
SAT: μ = 1500 and σ = 325

and assume ACT and SAT scores have approximately bell-shaped distributions?
- ACT score of 28
- SAT score of 2100
- I don't know

Answers

A better score is the SAT score of 2100 which has an average of 1500 with an SD of 325.

- SAT score of 2100

Now, According to the question:

"Information available from the question"

An ACT score of 28 or a combined SAT score of 2100 when

ACT: μ = 21 and σ = 5;

SAT: μ = 1500 and σ = 325

In order to determine which is a better score, we compare the scores in standard deviation units.

We can convert the score to standard deviation units by subtracting the mean and dividing by the standard deviation.

ACT: (28-21)/5 = 1.2

SAT: (2100-1500)/325 = 1.38

As we see SAT score is better than ACT score as it is 1.38 standard deviation units above the mean, while the ACT score is only 1.2 standard deviation units above the mean.

Hence, SAT score of 2100

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Help, please !!!!!!!!!!!!!!!

Answers

The required longest hike executed by the family is 2 hours.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
From the table,
Hike 1 took 1 2/4 hours which is equivalent to 1.5 hours.
Similarly
Hike 2 = 1.75 hours
Hike 3 = 2 hours
Hike 4 = 1.75 hours
Hike 5 = 1.5 hours
Hike 6 = 1 hours

Thus, the required longest hike executed by the family is 2 hours.

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What is the constant of proportionality in this proportional relationship?


X 2 2 1/2 3 3 1/2

y 5/2 25/8 15/4 35/8



1. 4/5


2. 5/4


3. 4


4. 5

Answers

Answer:

2. 5/4

Step-by-step explanation:

The constant of proportionality in this proportional relationship is the ratio of y to x for any given pair of values. To find it, we can divide the y value by the x value for one of the pairs. For example, using the first pair (x = 2, y = 5/2), we can divide 5/2 by 2 to get the constant of proportionality:

(5/2) / 2 = 5/4

please help me!!! i need to pass this assignment! Find P(4) and P(2).

Answers

Alright, so they want you to find the probability of landing on 4 or 2.

There are 8 numbers total so that will be our denominator x/8

There are two outcomes we are finding the probability, that gives us 2/8

We must simplify the fraction into its lowest form.

2/8=1/4

Your answer would be 1/4

Multiply the factor and expre the following expreion in implified radical form. (36‾√)(22‾√)(415‾‾‾√)

Answers

The expression after multiplying the factors in the form is -573.21.

The provided expression is (-√36)(-√22)(-√415).

We have to multiply the factor and express in the radical form.

Let us solve this step by step and one by one,

(-√36) = -6

Now, for -√22,

-√22 = -4.69

Now, for -√415,

-√415 = -20.37

Now, we have to simply multiply these three values and that will be the radical form,

So,

(-√36)(-√22)(-√415) = -6 x -4.69 x -20.37

(-√36)(-√22)(-√415) = -573.21

So, the expression after simplification is -573.21.

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Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse \overline{AC}
AC
. If BD=2BD=2 and DC=1,DC=1, what is the length of \overline{AD}?
AD
?

Answers

The measure of the length AD will be 4cm.

What is are of triangle?

The area of a triangle is the region enclosed by its sides. The area of a triangle differs from one triangle to another depending on the length of the sides and the internal angles. Triangle areas are expressed using square measurements like m2, cm2, and in2. One right angle or two perpendicular sides are both acceptable for right triangles. They may also be known as orthogonal triangles, right-perpendicular triangles, or originally rectangular triangles. Trigonometry's foundation is formed by the relationship between the sides and other angles of a right triangle.

2 / 1= AD / 2

AD=4 cm

Hence The measure of the length AD will be 4cm.

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shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 ? 20 ? ? g(x) 10 ? 20 ? ?

Answers

The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.

The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

f(0) = 10 = a(0) + b

Putting x = 1 in the equation, we get:

f(1) = 20 = a(1) + b

Solving these two equations simultaneously, we find:

a = 10

b = 0

So, the equation for f is:

f(x) = 10x + 0 = 10x

Using this equation, we can find the missing entries for f(x) in the table:

f(2) = 10x = 10(2) = 20

f(3) = 10x = 10(3) = 30

f(4) = 10x = 10(4) = 40

So the missing entries for f(x) are 20, 30, and 40.

To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

g(0) = 10 = a(1)^0 = a

So, a = 10.

Putting x = 1 in the equation, we get:

g(1) = 20 = 10b

Solving for b, we find:

b = 2

So, the equation for g is:

g(x) = 10(2^x)

Using this equation, we can find the missing entries for g(x) in the table:

g(2) = 10(2^2) = 10(4) = 40

g(3) = 10(2^3) = 10(8) = 80

g(4) = 10(2^4) = 10(16) = 160

So the missing entries for g(x) are 40, 80, and 160.

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--The given question is incomplete; the complete question is

"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries.                                                                                    x      0  1  2  3 4                                                                                                                                             f(x)  10 _ 20 _ _                                                                                                                                 g(x) 10 _ 20 _ _"--

I need help
Please

Answers

Step-by-step explanation:

0.3333333333.... = 1/3

0.2222222222... = 1/3 / 3 × 2 = 2/9

so, we now know all the involved fractions.

(1/3 - 1)² - sqrt(1 - 3/2/2) + 2/9

(-2/3)² - sqrt (1 - 3/4) + 2/9

4/9 - sqrt(1/4) + 2/9

6/9 - 1/2

2/3 - 1/2

to calculate that we need to bring both fractions to the same denominator (6).

2/2 × 2/3 - 3/3 × 1/2 = 4/6 - 3/6 = 1/6

so, the complete result is 1/6.

Max is bisecting a segment. First, he places the compass on one endpoint and opens it to a width larger than half of the segment. Then, he swings an arc on either side of the segment. What is his next step?

Answers

Keep the compass the same width, and place it on the other endpoint.

Max's next step after swinging arcs on either side of the segment is to place the compass on the other endpoint and swing another arc that intersects the previous arcs.

After swinging arcs on either side of the segment, Max's next step is to place the compass on the other endpoint of the segment.

He needs to make sure the compass width remains the same as before.

Then, he swings another arc that intersects the previous arcs.

The point where the new arc intersects the segment is the midpoint of the segment.

By connecting this point with the endpoints of the segment, Max will have successfully bisected the segment.

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Is it possible to have a triangle with angle 60°,70°,and 50°

Answers

Answer:

Yes, it is possible to have a triangle with angles 60°, 70°, and 50°. The sum of the angles must equal 180° in order for a triangle to be formed.

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

To create any possible triangle, all three angle measurements should add up to 180° and the exterior angle should also be equal to the sum of two interior opposite angles!

solve 6x-9=51-4x please

Answers

Answer:

x = 6

Step-by-step explanation:

6x-9=51-4x

10x - 9 = 51

10x = 60

x = 6

Let's check

6(6) -9 = 51 -4(6)

36 - 9 = 51 - 24

27 = 27

So, x = 6 is the correct answer.

Brandon take a rectangular piece of fabric and make a diagonal cut from one corner to the oppoite corner. The cut he make i 13 inche long and the width of the fabric i 5 inche. What i the fabric' length?

Answers

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

[tex]L^2 + 5^2 = 13^2[/tex]

where L is the length of the fabric.

Solving for L, we get:

[tex]L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.[/tex]

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2.2.1. collapse depth (or crush depth) is the submerged depth that a submarine cannot exceed without collapsing because of the surrounding water pressure. the collapse depth of modern submarines is not quite a kilometer . assuming seawater to be incompressible , what is the crush depth pressure in and ? is the pressure you computed absolute or gauge pressure? which term would the nurse use in a report to describe the absence of menstrual periods in a 35-year-old nonpregnant client? rhinorrhea a nurse is using the world health organization definition of health to provide care. which area will the nurse focus on while providing care? where can you access sources of information and advice on compliance? Please help me with this question. what is the central idea of the article farms of the future chloe, a russian cosmonaut, goes outside her ship for a spacewalk, but when she is floating 15 m from the ship, her tether catches on a sharp piece of metal and is severed. chloe tosses her 2.0 kg camera away from the ship with a speed of 12 m/s. a) how fast will chloe , whose mass is now 68 kg, travel toward the spaceship? b) assuming the spaceship remains at rest with respect to chloe, how long will it take her to reach the ship? (0.352941 / 42.5) the analysis of a compound gives the following percent composition by mass: c: 53.21 percent; h: 8.589 percent; s: 10.93 percent; o: 27.27 percent. what is its molecular formula given that its molar mass is 293.4 g? the reaction of methyl iodide with sodium azide, nan3, proceeds by an sn2 mechanism. what is the effect of doubling the concentration of nan3 on the rate of the reaction? a. the rate remains the same b. the rate decreases by a factor of 2 c. the rate increases by a factor of 2 d. the rate increases by a factor of 4 when lydia is released after a week in the hospital, her doctor orders her into a skilled nursing facility (SNF). Upon her admittance, for how long will medicare part A pay 100 percent of lydia's skilled nursing facility care cost? Rising sea levels and increase on the Earths surface temperature are evidences of which 21st century challenge? Select one: a. Spread of deserts b. Global migration c. Destruction of life in the oceans d. Global warming Consider the graph , thanks which of the following filter functions properly removes all green and blue from a pixel and returns the modified color tuple? 1. Solve for the missing sides of the right triangle. Round to the nearest hundredth. 29 50 Which statement is true about the rock cycle?A. Once a metamorphic rock is formed, it will always be a metamorphic rock.B. Heat and pressure that are applied to an igneous rock eventually creates a metamorphic rock.C. Sedimentation is the primary process that converts a sedimentary rock into a metamorphic rock.D. When magma pours out on the Earth's surface, it forms metamorphic rock. which of the following describes a property of pure water? a. more dense as a solid b. molecules are noncohesive c. changes temperature rapidlyd. acidic ph e. can hold many molecules in solution gertrude, a returning student in her sixties, gave a speech to her classmates, who were traditional college freshmen. she focused on the qualities to look for when purchasing a fur coat. partway through, she realized that most of the audience was not paying attention. what principal demographic trait did she fail to consider fully when preparing her speech? which of the following is the final step in establishing an implementation timetable? a. organizing the activities in the proper order b. determining the time required to complete each activity c. separating the activities to be performed in sequence from those to be performed simultaneously d. identifying the activities to be performed e. assigning responsibility for completing each activity to one or more employees, teams, or managers The graph of a sinusoidal function has a minimum point at (0, 3) and then intersects its midlineat (5,5).Write the formula of the function, where x is entered in radians.f(x) = according to heinrichs, which is the most difficult to achieve? group of answer choices O change an audiences mood O change an audiences mind O change an audiences willingness to act