Consider any subset of the real numbers that consists only
of negative numbers. What can you conclude about whether the set is closed
under multiplication?
Explain.

Answers

Answer 1

Answer:  Not closed under multiplication

====================================================

Explanation:

Pick any two negative numbers that you want.

I'll go for -3 and -5

They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.

This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.

In a sense, this is the complete opposite of closed since the result is never negative.

Here's an example of a set that is closed under multiplication: integers

Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.


Related Questions

round the following numbers to the nearest ten thousands: 1. 57,342 2. 76,564 3. 95,634 4. 85,756 5. 63,526​

Answers

Answer:

1. 60,000

2. 80,000

3. 100,000

4. 90,000

5. 60,000

Step-by-step explanation:

Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.

57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)

y(x) = a³ + cos(x) differentiate function using chain rule

Answers

Answer: -sinx

the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,

f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]

A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.

y = cos(x) + a^3

differentiating both sides with respect to x

dy / dx = d/dx (cosx)  +  d/dx (a^3)

by basic differentiation we know that

d/dx of cosx  = -sinx

and differentiation of a constant is 0

therefore,

dy / dx = -sinx + 0

dy / dx = -sinx

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how do you calculate these numbers from least to greatest −2.0, 0.25, −1.02, 1.98.?

Answers

Answer: -2.0, -1.02, 0.25, 1.98

Step-by-step explanation:

Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)

Could I have help, please look at the picture

Answers

Answer:

80

Step-by-step explanation:

We have a specific formula for the Surface Area of a Pyramid.

Which is= A+1/2ps ))))

1. A stands for the Area of the base. let's find our area! (This is length x width)

So this is 4x4=16

2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.

3. Finally, S stands for Slant Height. Which is eight inches.

Lets plug our numbers in!

4. Now we get a sparkly, full formula! 16+1/2x16x8

5. 16+1/2x128

6. 16+64

7. 80

if this answer is wrong, dislike it/report it!
much love <333 have a nice day!

$5660
R= 11%
T= 9 months

Answers

Answer:

this is a finance and it is an

What strategy would be the best to solve this problem?

Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy?

What strategy would be the best to solve this problem?

A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns

Answers

Answer:

look for patterns also, Ann purchased 12 apples

Step-by-step explanation:

x apples

1/3 of x, (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2Total number shared = 4 * 2 = 8Fraction shared = total shared2x/3 = 8Multiply both sides by 3(2x/3) * 3 = 8 * 32x = 24x = 12

D Is go to be your correct answer

A is between c and t. if ct = 25 and at = 18, what is the length of segment ca?

Answers

The length of the segment CA is 7.

Length of the segment

Basically, length of the line segment is fixed, which is the distance between two fixed points.

The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.

Given,

A is lies between C and T.

Then the values of CT = 25 and AT = 18.

Now we have to find the length of the segment CA.

Consider the point C, A and T are in straight line.

Then A lies between C and T.

So, it is the center point between C and T.

Here we have the length of total line that is

=> CT = 25.

And the length of AT, that is

=> AT = 18.

Then we need to find the length of the segment CA,

By subtracting the length of AT from the total length CT,

That is,

=> CA = CT - AT

Apply the values,

=> CA = 25 - 18

=> CA = 7.

Therefore, the length of the segment CA is 7.

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3. the difference of two-thirds of a number x and
6 is at least -24. which inequality represents all
possible values for x?

Answers

The inequality which represents all the possible values for x is (2x/3) - 6 ≥ 24.

It is given in the question that the difference of two-thirds of a number x and 6 is at least -24.

We have to find the inequality which represents all the possible values for x.

In mathematics, Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Hence, according to the data given in the question, we can write,

(2x/3) - 6 ≥ 24

Here, we can also find the possible values of x.

(2x/3) - 6 ≥ 24

2x/3  ≥ 24 + 6

2x/3  ≥ 30

x  ≥ 30*3/2

x  ≥ 45

Hence, every number greater than or equal to 45 will be a possible value of x.

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Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?

Answers

Answer:

30

Step-by-step explanation:

3+0.2x

3(2)+0.1x

8.1

26

The volume of the cone is 96 cm^3 and the radius is 6 cm. What is the height of the cone?

Answers

If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.

The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:

V= πr²h/3

Here, V is the volume of the cone, r is the radius of the cone and h is the height.

This equation can be rearranged to find the value of height as follows,

h=3V/πr²

Now, add the given values to the equation,

h= 3(96)/π(6²)

h= 288/π(36)

As π = 3.14

h= 288/3.14(36)

h= 288/ 113.04

h= 2.55 cm

Thus, the height of the cone is calculated to be 2.55 cm.

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John drove 235 miles in 5 hours. If he continued at that same rate, how long would it take to travel 376 Miles?

Answers

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John drove 235 miles in 5 hours. Then the speed of the John will be

Speed = 235 / 5

Speed = 47 miles per hour

If he continued at that same rate. Then the time to travel 376 miles will be given as,

47 = 376 / Time

Time = 376 / 47

Time = 8 hours

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

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Answer:8

Step-by-step explanation:

crude oil has sold at $21.75 a barrel. a barrel has a volume of 42 gallons. what is the price of crude oil in ¢ /cup? (one gallon

Answers

The price of crude oil in 3.24 ¢ /cup.

What is conversion factor?

A conversion factor is a number that is used to multiply or divide one set of units into another.

When converting to an equal value, the suitable conversion factor must be used. To convert inches to feet, for example, the suitable converting value is 12 inches equal 1 foot.A conversion factor is a ratio (and any fraction) that depicts the connection between two distinct units.

Some conversion factors are-

One gallon = 4 quarts;

4 cups = 1 quart

( ¢ =cents)

Now, as per the given question;

The crude oil was sold at $21.75 per barrel.

The volume of the barrel is 42 gallons.

Let 'P' be the total price of crude oil in ¢ /cup.

To determine the price in cents per cup, we must use the conversion factors:

Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4      quarts)×(1 quartz/ 4 cups).

Simplify the above equation;

Price per cup P = 3.24  ¢ /cup.

Therefore, the price of crude oil is 3.24 ¢ /cup.

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GEOMETRY [35 POINTS]
What is the value of X?
What is the measure of angle A?
What is the measure of angle B?

Answers

Answer:

Step-by-step explanation:

Comment

The key to this is to know what a remote angle is. A remote angle is one that has one leg in common with the exterior angle. Make this a little simpler.

The exterior angle is outside the triangle. In this case it is the 157 degree angle.

The two remote angles each contribute just one side to the exterior angle. <B contributes BC and <A

Theorem

The two remote angles = the exterior angle.

Equation

x + x - 21 = 157

Solution

x + x - 21 = 157                    Combine the left side

2x - 21 = 157                       Add 21 to both sides

2x - 21 + 21 = 157+21         Combine  

2x = 178                             Divide by 2

2x/2 = 178/2

x = 89

Answer

x = A = 88

89 - 21 = B =68

25,952,938 rounded to hundred thousands place

Answers

Answer:

26,000,000

Step-by-step explanation:

I had that question before

Answer:

26,000,000

Step-by-step explanation:

9 is the hundred thousand digit starting from behind .

So, you start rounding up from 9.

Which is the graph of 5x+4y ≥ 2?

Answers

Answer:

b

Step-by-step explanation:

5x + 4y [tex]\geq[/tex] 2

4y [tex]\geq[/tex] - 5x + 2

y [tex]\geq[/tex] (-5/4)x + (1/2)

Of the books in a personal library, 3/5 are fiction. Of these books, 6/7 are paperback. What fraction of the books in the library are fiction and paperbacks?

Answers

The fraction of the books in the library that are fiction and paperbacks is 18/35

How to calculate the fraction ?

3/5 of the books in the library are fiction

6/7 of the books are paperback

Therefore the fraction of the books that are fictions and paperbacks can be calculated as follows

3/5 × 6/7

= 18/35

Hence 18/35 of the books are fiction and paperbacks

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A company is making building blocks. Each building block is a cube and has volume 64/ 125 cubed . How long is each side of the building​ blocks?

Answers

The length (in feet) of each side of the cube block is 1(one) ft.

What is a cube?

A cube is a three-dimensional solid object in the figure that's girdled by six square faces, angles, or sides, three of which meet at each vertex.One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges. The cube is also a right rhombohedron, a 3- zonohedron, a square parallelepiped, and an equilateral cuboid. In three exposures, it's a normal square prism, and in four, it's a trigonal trapezohedron.

Volume of cube is given by,

V = [tex]L^3\ (length^3)[/tex]

[tex](1 ft)^3 = L^3[/tex]

L = 1ft.

Thus,

The length(in feet) of each side of the block is 1(one) ft.

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The cost of having a package delivered has a base fee of $9.10. every pound over 5 lbs costs an additional $0.42 per pound. write an equation that expresses the cost c in terms of w, the total weight in pounds of a package weighing over 5 lbs.

Answers

The expression c = 9.10 + 0.42(w-5) ; w > 5 will represent the cost c in terms of w, the total weight in pounds of a package weighing over 5 lbs.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Total cost below 5 lbs = base fee

Total cost over 5 lbs = base fee + additional 0.42/pound

Let's say the total cost is c and the total pounds is w

Then,

c = 9.10 + 0.42(w-5) ; w > 5

Here for w = 6 it will gives w - 5 = 6 - 5 = 1 lbs.

Hence "The expression c = 9.10 + 0.42(w) ; w > 5 will represent the cost c in terms of w".

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In February 2003,
the Battlefords Chamber of
Commerce in Saskatchewan
placed a cage containing a
64-cubic foot ice cube along
Yellowhead Highway. Local
customers were asked
to predict when the ice cube
would melt enough for a ball
above the ice cube to fall through it. What was
the surface area of the cube?

Answers

The side length of the cube is 4 feet. Then the surface area of the cube will be 96 square feet.

What is a volume of a cube?

Suppose that: The side length of the considered cube is L units. Then, we get:

The volume of that cube = L³ cubic units.

The surface area of that cube = 6L² square units.

In February 2003, the Battlefords Chamber of Commerce in Saskatchewan placed a cage containing a 64-cubic foot ice cube along Yellowhead Highway. Then the side length of a cube will be

64 = L³

L = ∛64

L = 4 feet

Then the surface area of the cube will be

SA = 6 x 4²

SA = 6 x 16

SA = 96 square feet

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In a survey of 1094 adults, 83% responded "yes" to the survey question.

How many adults answered "yes"? (round to the nearest whole person as needed)

Answers

Answer:

Pretty sure its 909. 83 percent of 1093 is 908.02. If you round it to the nearest person, it is 909

Step-by-step explanation:

Solve for x: −1 < x + 3 < 5 2 < x < 8 −4 < x < 2 2 > x > 8 −4 > x > 2


WILL MARK BRAINLIEST

Answers

The solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2

How to determine the solution to the inequality?

The inequality expression is given as:

-1 < x + 3 < 5

Subtract 3 from all parts of the inequality expression

So, we have:

-3 -1 < x + 3 -3 < 5 - 3

Evaluate the difference and sum

So, we have:

-4 < x < 2

Hence, the solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2

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answer this question

Answers

The equation of the function g(x) is g(x) = -2|x - 2| + 5

How to determine the equation of the function g(x)?

The function f(x) is given as

f(x) = 2|x - 2| - 5

The rule of the transformation is a reflection across the x-axis

This is represented as

g(x) = -f(x)

So, we have

-f(x) = -2|x - 2| + 5

Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5

g(x) = -2|x - 2| + 5

Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5

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Which of the following cannot be used to explain why a hypothesis is true?
A Definition
B Postulate
(C) Theorem
D) Geometry

Answers

Answer: B

Step-by-step explanation: A Postulate is statement that is assumed true with no proof.

A hypothesis is an explanation provided for a phenomena. The correct option is B.

What is a Hypothesis?

A hypothesis is an explanation provided for a phenomena. The scientific method demands that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists often establish scientific hypotheses on past data that cannot be adequately explained by existing scientific ideas.

The one that cannot be used to explain why a hypothesis is true is a postulate. This is because a postulate is a statement that is considered to be true but has no supporting evidence.

Hence, the correct option is B.

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Points on the coordinate plane
Point N is graphed on the coordinate plane.
-5-2
is
OF
Write the coordinates of point N.

Answers

If we reflect the point (-5,2) (five, -two) over the x-axis (line of symmetry) the reflected point is (-5,-2). If we reflect the point (-5,2) (five, - two) over the y-axis (line of symmetry) the reflected point is (5,2).

What are the x-axis, and y-axis?

The vertical axis is generally called the x-axis. The perpendicular axis is generally called the y- axis. The point where the x- and y- axis intersect is called the origin. The x-axis is generally the vertical axis, while the y- axis is the perpendicular axis. They're represented by two number lines that cross perpendicularly at the origin, located at( 0, 0). The x-axis is also called the abscissa and the y- axis is called the ordinate.

The point (-5,2) is plotted as red in the picture attached.

To reflect a point over the x(ax)-axis, the x(ax) value must be the same and the y value must be the opposite.

To reflect a point over the x(ax)-axis, the y(y) value must be the same and the x(ax) value must be the opposite.

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8 256m to km shortcut method and 25 000 mm to hm and 864 dm to dam and

Answers

You move the decimals to the problem

Brian rolls a fair dice 12 times.
How many times would Brian expect to roll a number greater than 4?

Answers

Answer:

I times the 12 by 5 and divided by 2 and subtract by 12

I get 18 and I thought it is 18

Answer:

Step-by-step explanation:

If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4

If rolled 12 times, then 4/12 times the number would be greater than 4

4/12 = 1/3

Name the angle in as many different ways as possible.

Answers

Answer:

no sé

Step-by-step explanation:

los tipos que hay según la suma y la posición en la que quedan colocados.

help a soon as possible i don't know how to work this out

Answers

Answer:

the answer of finding highest common factor is 286286

Answer:

24167    ( or   11 x 13^3)

Step-by-step explanation:

x = 2 x 7 x 11 x 11^2 x 13^3 x 13^2

y = 3       x 11            x 13^3  

The underlined are common factors of x and y

     11 x 13^3 = 24167   is the GCF

3.
A Dutch company built a submarine that can hold 10 passengers and 1
pilot. The submarine has a safety feature that will automatically raise the
submarine if it goes below the certified depth of -650 feet. To show this
feature to a buyer the submarine dove to a depth of -872 feet. The
automatic feature then raised the submarine 50 feet per minute.
5
12
5
How much time, in minutes, does it take for the submarine to reach the
certified depth? Round your answer to the nearest tenth of a minute.
Show your steps for partial credit.
12
A. 4.4 minutes
B. 12.8 minutes
C. 30.1 minutes
D. 50.6 minutes
2

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

I think this because I gathered the info of -650, -872, and 50

To pay for a home improvement project that totals $11,000, Genesis is choosing between taking out a simple interest bank loan at 6% for 3 years or paying with a credit card that compounds monthly at an annual rate of 16% for 6 years. Which plan would give Genesis the lowest monthly payment?

The monthly credit card payment would be $396.49, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.
The monthly credit card payment would be $354.44, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $323.89, which is lower than the monthly credit card payment.

Answers

The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.

What is the monthly payment under simple interest?

The total interest on the simple interest basis can be determined as the cost of the home improvement multiplied by the annual simple interest rate and also multiplied by the number of years

I=PRT

I=interest for 3 years=unknown

P=principal=$11,000

R=simple interest rate=6%

T=number of years=3

I=$11000*6%*3

I=$1980

There are 12 months multiplied by 3 years

monthly payment=($11,000+$1,980)/(3*12)

monthly payment=$360.56

Monthly compounding option:

PV=PMT*(1-(1+r)^-N/r

PV=loan amount=$11,000

PMT=monthly payment=unknown

r=monthly interest rate=16%/12=0.0133333333333333

N=number of monthly payments in 6 years=12*6=72

$11,000=PMT*(1-(1+0.0133333333333333)^-72/0.0133333333333333

PMT=$238.61

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