Select which property of real numbers is shown: 10k^2+(-10k^2)=0

Inverse

Reflexive

Distributive

Symmetric

A sample :  a statistics student interviews each member from each of the five randomly chosen math classes at a university.

A sample is a subset of a larger population that is selected for analysis or study. In statistics, sampling is a technique used to gather data from a portion of a population in order to make inferences about the population as a whole.

Sampling helps to reduce the amount of data that needs to be collected and analyzed, making the research process more manageable and cost-effective.

In the scenario you described, a statistics student is conducting a study where they aim to gather data from a group of individuals at a university. To do this, they have selected five math classes at random and are interviewing each member of each class.

To learn more about statistics click on,

https://brainly.com/question/14516426

#SPJ4

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ1

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

The values of the variables and the side lengths are

From the question, we have the following parameters that can be used in our computation:

AB = AC

Perimeter = 27.3

Using the attached figure, we have

6x - 2y = x + 5

Evaluate

5x = 2y + 5

For the perimeter, we have

AC + AB + BC = 27.3

So, we have

6x - 2y + x + 5 + y + 6.3 = 27.3

Simplify

7x = y + 16

Multiply by 2

14x = 2y + 32

Subtract from 5x = 2y + 5

9x = 27

So, we have

x = 3

This means that

2y + 32 = 14 * 3

2y + 32 = 42

Evaluate

2y = 10

y = 5

For the side lengths, we have

AC + AB + BC = 27.3

So, we have

AC = 6(3) - 2(5) = 8

AB = 3 + 5 = 8

BC = 5 + 6.3 = 11.3

Read more about perimeter at

https://brainly.com/question/25092270

#SPJ1

\(\displaystyle\\|\Omega|=\binom{16}{2}=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\|A|=\binom{5}{2}=\dfrac{5!}{2!3!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{120}=\dfrac{1}{12}\approx0.083\)

Answer: 121

Step-by-step explanation:

11 x 11 is 121 so same number of rows and columns

Answer:

1260=(2-n)180

1260=360-180n

1260_360=-180n

900= -180n

n=900/-180

n= -5

n=

900/-180

Answer:

Step-by-step explanation:

To determine the monthly payment Amy pays, we can use the formula for calculating the monthly payment on a loan. The formula is:

M = (P * r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate

n = Number of monthly payments

Given information:

Principal amount (loan amount) = $21,000

Down payment = 10% of $21,000 = $2,100

Remaining balance = $21,000 - $2,100 = $18,900

APR = 3.5%

Number of monthly payments (n) = 36

To calculate the monthly interest rate (r), we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate (r) = APR / (12 * 100)

Substituting the values into the formula:

r = 3.5 / (12 * 100) = 0.0029167 (rounded to 7 decimal places)

M = (18,900 * 0.0029167 * (1 + 0.0029167)^36) / ((1 + 0.0029167)^36 - 1)

Using a calculator to evaluate the expression within the formula:

M ≈ $539.26

Therefore, the monthly payment that Amy pays is approximately $539.26.

The missing part of the question is;

(a) Calculate the percent uncertainty in the distance.

(b) Calculate the percent uncertainty in the elapsed time.

(c) What is the average speed in meters per second?

(d) What is the uncertainty in the average speed?

Answer:

A) 0.0687%

B) 0.0312%

C) 4.389 m/s

D) 0.0044 m/s

Step-by-step explanation:

We are given;

Total Marathon distance = 42.188 km

Uncertain distance = 29m = 0.029 km

Time to complete marathon = 2 h , 40 min, and 13 s = 9613 seconds

Uncertain time = 3 seconds

A) % uncertainty in distance = (uncertain distance/total marathon distance) × 100% = (0.029/42.188) × 100% = 0.0687%

B)% uncertainty in the elapsed time = (elapsed time/total time) × 100% = (3/9613) × 100% = 0.0312%

C)average speed = total distance/total time

Total distance when converted to metres is 42188 m

Thus; average speed = 42188/9613 = 4.389 m/s

D) The percent uncertainty in the average speed is the combination of uncertainties of distance and time.

%uncertainty in speed = % uncertainty in distance + % uncertainty in the elapsed time

%uncertainty in speed = 0.0687% + 0.0312% = 0.0999%

Therefore, the uncertainty in the speed is;

δ_speed = 0.0999/100 × 4.389

δ_speed = 0.0044 m/s

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ1

The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

Learn more about Triangle at:

https://brainly.com/question/2773823

#SPJ1

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

To calculate sin (π/6 - a) using the given information that cos a = 0.6 and a = 3π/2, we can follow these steps:

Step 1: Determine the value of sin a using the given cos a value. Since cos a = 0.6, we can use the Pythagorean identity sin^2 a + cos^2 a = 1 to find sin a.

sin^2 a = 1 - cos^2 a

sin^2 a = 1 - 0.6^2

sin^2 a = 1 - 0.36

sin^2 a = 0.64

sin a = ± √0.64

Since a is in the third quadrant (3π/2), sin a will be negative. Therefore, sin a = -0.8.

Step 2: Substitute the value of a into sin (π/6 - a) and simplify.

sin (π/6 - a) = sin π/6 * cos a - cos π/6 * sin a

sin (π/6 - a) = (1/2) * 0.6 - (√3/2) * (-0.8)

sin (π/6 - a) = 0.3 + 0.8√3

Therefore, sin (π/6 - a) = 0.3 + 0.8√3.

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

B

Step-by-step explanation:

She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.

Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.

Cindy is a travel agent. She receives a 9% commission based on the value of the trips she books. Today she spent eight hours arranging a $9,300 cruise for a newlywed couple

The commission that Cindy received can be determined by:

= Commission % x Price of booked trip

= 9% x 9,300

= $837

Consequently, the following is her hourly wage:

= Commission received / Hours worked

= 837 / 8

= $104.62

The bottom line is that  made $104.62 per hour plus $837 in commission.

Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.

To learn more about commission rate refer to:

https://brainly.com/question/25211236

#SPJ1

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Answer:

It is the y=intercept

Step-by-step explanation:

Because if there is no x-value and there is a Y-value,  y-intercept

Answer:

I think it is a Minimum or Maximum

Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

To learn more about : points

https://brainly.com/question/23848540

#SPJ8

Answer:

10 : ( 6 * 3 ) - 5

3 * ( 6 - 5 )

( 6 * 5 ) - 3

11 : Prt A : C, 4 + ( 8 + 6 ) ÷ 2

Prt B : 11 singers had solos

12 : 7 + 4 * 3 = 19

9 + ( 45 ÷ 9 ) = 14

34 - 8 + 7 = 33

13 : ( 15 * 2 ) + 6

14 : ( 42 - 6 ) ÷ 3

Kamal puts 12 books on each shelf.

Hope this helps!

Step-by-step explanation:

C : 4 + 14 ÷ 2 = 4 + 7 = 11

Dividing by a fraction is equivalent to multiply by its inverse. For example, if you want to divide 3/4 by 5/6, you have to compute 3/4 multiplied by 6/5

18/20 can be simplified by dividing each term by the same number, in this case by 2.

If you want to divide mixed numbers, first, you have to convert the mixed numbers into improper fractions, and then proceed as explained above.

Slope = change in y / change in x

Use the two pints shown on the graph.

Slope = ( 0- -2) / ( -6 -2)

Slope = 2/-8

Slope = -1/4

answer: slope = -1/4

Slope

The required leaves values for the given stems are calculated below.

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

To know more about Stem-and-Leaf plot visit:

brainly.com/question/12857419

#SPJ1

An equation in point-slope form for the line that passes through (2,-5) and is perpendicular to the graph of y=3x+1 is y = -1/3x-17/3.

When the line to be examined slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula. In order to make it simple to identify the slope and y-intercept of a line, its equation can be written in the slope-intercept form. The y-intercept, or point where the line crosses the y-axis, is referred to as the slope.

Perpendicular line slopes are reciprocals with a negative sign. In the slope-intercept form, y = mx + b, where m is the slope, the supplied line, y = 3x+1, is already in the slope-intercept form.

The line in the example has a slope of 3.

The negative reciprocal of three, or -1/3, is the slope of the perpendicular.

Y = -1/3x + b is the equation for the line that we are looking for.

We must track down b. We solve for b by using the x and y coordinates of the provided location as x and y in the equation above.

y = -1/3x + b

5 = (1/3)(2) + b

5 = (2/3) + b

b = -5-(2/3)

b= -17/3

B is now substituted for in the equation

y = -1/3x-17/3 as we know that b =-17/3.

Therefore, an equation in point-slope form for the line that passes through (2,-5) and is perpendicular to the graph of y=3x+1 is y = -1/3x-17/3.

To know more about slope-intercept form, visit:

https://brainly.com/question/9682526

#SPJ1

A rational number between the two given ones is -2/5, such that:

-1/3 > -2/5 > -1/2.

Rememeber that a rational number is any number that can be written as a quotient between two integer numbers.

Here we want to find a rational number between -1/3 and 1/-2, we can rewrite the second one as -1/2.

Now we want to find a number x such that:

-1/3 > x > --1/2

Remember that:

-1/3 ≈ -0.33...

-1/2 ≈ -0.5

So a number between these two is -0.4 which can be written as -2/5 (this is also rational).

That is the number we wanted to find.

Learn more about rational numbers:

https://brainly.com/question/12088221

#SPJ1

Answer:

no

Step-by-step explanation:

in the first equation you would be distributing so it would be 5a+5b but in the second its just 5a+b

Answer:

The correct answer is 5 2/15

Step-by-step explanation:

Since the numerators on both numbers are opposite, you have to go through an equation to make them equal.

4/5 and 1/3 don't have the same numerator. Because of this, you have to find the least common multiple.

5, 10, 15

3, 6, 9, 12, 15

Now that we found said number, we have to multiply the denominators so they match as well. How we do that is by multiplying the number by how many times the numerator has been multiplied to.

Since 5 had to be multiplied by 3 to get to 15, you would multiply 4 by three, giving you 12/15. Same goes with the other fraction, 3 times 5 got us 15, so we would multiply 1 by 5, giving us 5/15.

Now it's as simple as adding. 12/15 + 5/15 = 17/15, which will make 1 2/15. Add that to the whole numbers you have and you will get 5 2/15. (Note: You cannot simplify 2/15, so you leave it as is)