any whole number is a proper subset or rational number

Answers

Answer 1

Answer:

The natural numbers, whole numbers, and integers are all subsets of rational numbers

Step-by-step explanation:

hope it helps

have a good day


Related Questions

1/2 ^1/2 please show the steps

Answers

The value of  [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex] is 0.707.

1÷2 = 0.5

Given, [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex]

Could be written like, [tex](0.5)^{0.5}[/tex] or √(1 ÷ 2) or √(0.5)

So the value of √(0.5) is 0.707.

Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:

Step 1: Divide the supplied integer by its decimal equivalent.

Step 2: If the connected components are identical, a pair is generated.

Step 3: Choose one of the pair members for her.

Step 4: Multiply the prime numbers you got by picking one from each pair.

Step 5: This product is the square root of the specified number.

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Given that Kelsey has already made 10 pendants how many additional pendants must she make and sell to make a profit of 50 dollars?

Answers

Part a: Kelsey should make 36 pendants

Part b: Kelsey needs to make 26 more pendants

Rent of the booth at the craft fair = $200

The material cost of each pendant = is $7.80

The selling cost of each pendant = is $13.50

Let Kelsey make x number of pendants

Formulating the inequality equation we get:

Selling cost of each pendant*Number of pendants >= Rent of the booth + Material cost of each pendant*Number of pendants

= 13.50x >= 200 + 7.80x

Solving the inequality we get:

13.50x >=200+7.80x

5.70x >= 200

x >= 35.08

So, she should make a total of 36 pendants

Considering that she has already made 10 pendants. She needs 26 more pendants.

Although a part of your question is missing, you might refer to this full question: Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A: Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B: Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?

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Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1)a. -33b. -36c. -63d. -69

Answers

Given:

[tex]a_n=3-6(n-1)[/tex]

Find-: 12th term of the sequence is

Sol:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \end{gathered}[/tex]

Where,

[tex]\begin{gathered} n=\text{ term.} \\ \\ n=12 \end{gathered}[/tex]

Put the value then:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \\ n=12 \\ \\ a_{12}=3-6(12-1) \\ \\ a_{12}=3-6(11) \\ \\ a_{12}=3-(6\times11) \\ \\ a_{12}=3-66 \\ \\ a_{12}=-63 \end{gathered}[/tex]

So 12th term is -63

Answer:

-63

Step-by-step explanation:

Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of
?

Answers

Answer:

it's wh question I think

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.3 years, and standard deviation of 1.1 years.If you randomly purchase one item, what is the probability it will last longer than 10 years?Use the normal table and round answer to four decimal places

Answers

We want to find the following probability:

[tex]P(X>10)[/tex]

where X is a normal random variable with mean 13.3 and standard deviation 1.1. To find this probability let's normalize the random variable; to do this we use the z-score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Then, in this case, we have:

[tex]P(X>10)=P(z>\frac{10-13.3}{1.1})=P(z>-3)[/tex]

Using the standard normal table, we have:

[tex]P(X\gt10)=P(z\gt(10-13.3)\/1.1)=P(z\gt-3)=0.9987[/tex]

Therefore, the probability of purchasing an item with a lifespan greater than 10 years is 0.9987

David has a coin collection. He keeps 9 of the coins in his box, which is 2% of the collection. How many total coins are in his collection?

Answers

Answer:  450

Work Shown:

x = total number of coins

2% of x = 0.02x = 9 coins in the box

0.02x = 9

x = 9/0.02

x = 450 coins total

The measure of two complementary angles are in ratio 2:3. What is the measure of the smaller angle

Answers

ANSWER

36°

EXPLANATION

Let a and b be the measures of the two angles. We know that they are complementary, so their measures add up to 90°. Also, we know that the quotient between their measures is 2/3,

[tex]\begin{gathered} a+b=90 \\ \frac{a}{b}=\frac{2}{3} \end{gathered}[/tex]

Solve the second equation for a,

[tex]a=\frac{2}{3}b[/tex]

Replace a with this expression in the first equation,

[tex]\frac{2}{3}b+b=90[/tex]

Add like terms,

[tex]\frac{5}{3}b=90[/tex]

Solving for b,

[tex]b=90\cdot\frac{3}{5}=54[/tex]

So the other angle is,

[tex]a=\frac{2}{3}b=\frac{2}{3}\cdot54=36[/tex]

Hence, the measure of the smaller angle is 36°.

A and B are sets of real numbers defined as follows.A = {x|x≤ 2}XB = {x|x < 7}Write A UB and An B using interval notation.If the set is empty, write 0.

Answers

The given sets are

[tex]\begin{gathered} A=\lbrace x:x,x\leq2\rbrace \\ \\ B=\lbrace x:x,x<7\rbrace \end{gathered}[/tex]

That means A is all real numbers from 2 to negative infinity, and B is all real numbers between 7 and positive infinity

[tex]\begin{gathered} A=(-\infty,2] \\ \\ B=(7,\infty) \end{gathered}[/tex]

Then we can find the union and intersection

[tex]\begin{gathered} A\cup B=(-\infty,2]\cup(7,\infty) \\ OR \\ A\cup B=(-\infty,\infty)-(2,7] \end{gathered}[/tex]

I will draw a sketch to show you the intersection

We can see that there is NO intersection between A and B, then

[tex]\begin{gathered} A\cap B=\lbrace\rbrace \\ A\cap B=0 \end{gathered}[/tex]

Can Some one please help me match the congruence statements below!

Answers

[tex]\text{ AB }\cong PQ[/tex][tex]RQ\text{ }\cong\text{ CB}[/tex][tex]\angle QPS\text{ }\cong\angle BAD[/tex][tex]\angle\text{CDA }\cong\text{ }\angle RSP[/tex]

I really need help with number 5

Answers

Given:

Required:

To find the distance from point B to line AC.

Explanation:

The point B touches the line AC at P.

And it is perpendicular.

The length of BP is 4.3.

Therefore, the distance from point B to line AC is 4.3.

Final Answer:

The distance from point B to line AC is 4.3.

what is the reciprocal for the fraction 5/7 ?

Answers

we know that

The reciprocal of a number is: 1 divided by the number

If you multiply a number by the reciprocal, the result is 1

so

we have

5/7

so

the reciprocal is 7/5

Verify

(5/7)(7/5)=1 -----> is ok

solve for the following right triangle upper a and h

Answers

we have that

[tex]undefined[/tex]

27 is The same as the product of four and a number

Answers

Answer:

6.75

Step-by-step explanation:

6.75x4 = 27 so if this is what was meant by this then heres your answer

hope this helped

have a good day ^^

8 - 5(3 + 2x)I need help

Answers

8 - 5(3 + 2x)

open the parenthesis

8 - 15 - 10x

-7 -10x

Write two numbers that multiply to the value on top and add to the value on bottom.

Answers

The values are -3 and -26

What is Multiplication?

A product is an expression that identifies the object to be multiplied, called the result of a multiplication, or coefficient. For example, 30 is the product of 6 and 5, and x\cdot is the product of x.

We have to find the number which is multiply to give the upper value and sum up to give the bottom value

So, the value of these numbers will be

-3 x -23 = 69

-3 + (-23) = -26

Hence the values are -3 and -23

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which situation can be represented by this inequality1.25x -6.50 > 50 A. Caleb has a balance of 6.50$ in his savings account and deposits 1.25$ each week. What is X the number of weeks must deposit 1.25$ in order to have a balance of more than 50$ in his savings account?B. Caleb earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of 6.50$. What is X the balance that Caleb must have in his checking account in order to have an ending balance greater than 50$ after interest and fees.C. Caleb charges 1.25$ for gasoline plus 6.50$ per hour for mowing lawns. What is X the number of hours he has to mow lawns to earn more than 50$D. Caleb spends 6.50$ on supplies for a lemonade stand and sells each cup of lemonade for 1.25$. what is X the number of cups of lemonade Caleb must sell to earn profit of more than 50$

Answers

We need to find a situation that can be represented by the inequality below:

[tex]1.25\cdot x-6.5>50[/tex]

This means that there must be a variable for which each unit has a value of 1.25. There must be a fixed cost of 6.5, because we are subtracting that value and the end goal must be to have more than 50.

The only option for which this applies is the option D.

Caleb spent a fixed amount of 6.5, he earns 1.25 for each lemonade he sells and he wants to have a profit of more than 50.

Does our data provide enough evidence to prove that New York police are racially biased (in terms of use of force)? Why or why not?

Answers

We want to proof for this case if there is enough evidence to conclude that the New York police are racially biased in terms of force

From the info given is possible to see that the proportion with High level of force used is higher for Black people compared to White people. A difference of 6.3-5.8% = 0.5%.

In the other hand, we can see that for the Hands up force level, there is a significant difference between the two proportions, higher for Black compared to White with a difference of 15.1-9.7%= 5.4%

And finally when we analyze the case for No force used, we can see that there is a higher percentage for White (84.4%) compared to Black (78.7%) with a difference of 5.7%.

Based on this results we can conclude that in general the New York police is partially biased since is possible to see that for any level of force used the records are in favor of the White people.

Converting between fractions, decimals, and percentsUse the definition of the word percent to write each percent as a fraction and then as a decimal.

Answers

Answer:

See below for the completed table

Explanation:

A percentage is a number or ratio written as a fraction of 100. It is usually denoted using the symbol %.

To convert from percentage to fraction, divide the percentage by 100.

[tex]25\%=\frac{25}{100}[/tex]

You can then convert the fraction to a decimal where:

[tex]\frac{25}{100}=0.25\text{ (In decimal form)}[/tex]

Using the method described above, we calculate for the other values on the table:

[tex]\begin{gathered} 50\%=\frac{50}{100}=0.5 \\ 100\%=\frac{100}{100}=1 \\ 1\%=\frac{1}{100}=0.01 \\ 37.5\%=\frac{37.5}{100}=0.375 \\ 110\%=\frac{110}{100}=1.1 \\ \frac{1}{2}\%=\frac{0.5}{100}=0.005 \end{gathered}[/tex]

The completed table is attached below.

The temperature in the morning was –2º F. The temperature in the evening was 9º F higher than it was in the morning. What was the temperature in the evening?

Answers

Answer:

Step-by-step explanation:

-2f

Complete the vertical algorithm to evaluate the product.Please see image below

Answers

Solution

Complete the vertical algorithm to evaluate the product:

Therefore the product of the expression is

[tex]4.09656[/tex]

Fin tends to exaggerate. He says if he stacked all the quarters he's ever spent on gumball machines, they would reach to the moon. The distance to the moon is about [tex]3.85 \times {10}^{8} [/tex]m and the width of a quarter is about[tex]1.75 \times {10}^{ - 3} [/tex]m. If Fin's claim were true, how many quarters has he spent on gumball machines?

Answers

For this problem we were given the distance to the moon and the width of a quarter in meters. We need to determine how many quarters we would need to stack in order to reach the moon.

In order to solve this problem, we need to divide the distance from the surface of the Earth to the moon by the width of each quarter. Notice that both numbers are presented in scientific notations, therefore we need to divide the coefficients and subtract the exponents. This is done below:

[tex]\begin{gathered} n=\frac{3.85\cdot10^8}{1.75\cdot10^{-3}} \\ n=2.2\cdot10^{8-(-3)} \\ n=2.2\cdot10^{8+3} \\ b=2.2\cdot10^{11} \end{gathered}[/tex]

If Fin's claim were true, he'd need to stack a total of 2.2*10^11 quarters.

the probability of a 4 child family having 4 girls is 0.5. is it true or false

Answers

Consider the phase space that consists of elements of the form (boy, boy, boy, boy), (girl, boy, boy, boy),...,(girl, girl, girl, girl).

There is a total of 2*2*2*2=2^4=16 possible combinations and each of them has the same probability to happen. Only one element is the case we are interested in (girl, girl, girl, girl).

Therefore, the probability of a family having 4 girls is

[tex]P(girl,girl,girl,girl)=\frac{1}{16}=0.0625[/tex]

The answer is false, the probability is 0.0625

1) Consider the ratio table below that compare hours worked to money earned for an employee at a pizza restaurant. Hours Worked 4 12 16 ? Money Earned 36 ? 76 108 144 270 a. How much money would an employee earn for working 8 hours? b. How many hours did a person work if they earned $270? c. Find the ratio associated with the table above (in simplest form). d. If you extend the ratio table, how much money will be earned if an employee works 24 hours? dollars they can amount of time​

Answers

The ratio table can be used to find the amount earned and the number of hours worked based on the ratio of the values as follows;

a. A person that works for 8 hours earns $72

b. A person that earns $270 worked for 30 hours

c. The ratio is 9 : 1

d. The earnings of a person that works for 24 hours is $216

What is a ratio table?

A ratio table is one that shows the constant relationship between the value pairs on the table.

The given ratio table is presented as follows;

Hours Worked; 4, 12, 16, ?

Money Earned; 36, 108, 144,

Required;

a. The amount a person will earn if he or she works for 8 hours

Solution;

Let x represent the hours worked, and let y represent the money earned

y = k•x

Therefore;

k = y/x

From the ratio table, we have;

k = 36/4 = 108/12 = 144/16 = 9

k = 9

y = 9•x

The amount earned, y for working 8 hours, x is therefore;

y = 9 × 8 = 72

The amount earned for working 8 hours is $72

b. The number of hours worked if a person earns $270

If a person earned $270, we have;

270 = 9 × x

x = 270/9 = 30

The number of hours worked if a person earned $270 is 30 hours

c. The ratio associated with the table in the simplest form is 36 : 4 = 9 : 1

d. The amount earned if a person worked 24 hours

Solution;

y = 9•x

Which gives;

y = 9 × 24 = 216

The amount earned if a person worked 24 hours is $216

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Divide using synthetic division. Write down the answer as a polynomial.x^3-5x^2-2x+24=0; (x+2)

Answers

we are given the following polynomial:

[tex]x^3-5x^2-2x+24=0[/tex]

we are asked to use synthetic division by:

[tex]x+2[/tex]

first we need to find the root of "x + 2":

[tex]\begin{gathered} x+2=0 \\ x=-2 \end{gathered}[/tex]

Now we do the synthetic division using the following array:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {\square} & {\square} \\ {\square} & {\square} & {\square}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

Now we lower the first coefficient and multiply it by -2 and add that to the second coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {\square} \\ {1} & {-7} & {\square}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

Now we repeat the previous step. We multiply -7 by -2 and add that to the next coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {14} \\ {1} & {-7} & {12}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

Now we repeat the previous step. we multiply 12 by -2 and add that to the next coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {14} \\ {1} & {-7} & {12}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {-24} & {} & {} \\ {0} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

The last number we got is the residue of the division, in this case, it is 0. Now we rewrite the polynomial but we subtract 1 to the order of the polynomial:

[tex]\frac{x^3-5x^2-2x+24}{x+2}=x^2-7x+12[/tex]

Write an equation to represent , the balance in an account after years, with an initial investment of $1,000 with an interest rate of 3%, compounded each year.

Answers

The balance in the account after years of compound interest arrangement can be represented by the equation; Balance = 1,000 (1.03)^n.

Which equation represents the balance in the account after years of compound interest?

It follows from the task content that the equation which represents the balance in the account after years is required to be determined.

It follows that the principal amount is; $1,000 while the interest rate is; 3%.

This indicates that after each year, the new balance is 103% of the preceding balance.

Hence, the exponential equation which correctly represents the balance at any point in time is;

Balance = 1,000 (1.03)^n.

Where n = number of years after.

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A population doubles every 27 years. Assuming exponential growth find the following:help find continuous growth rate (a) The annual growth rate: 2.6(b) The continuous growth rate is____% per year help (numbers)

Answers

Given,

A population doubles every 27 years.

a. Let initial population be 1 and after 27 years it becomes 2.

Considering r as the rate of annuall growth we have,

[tex]\begin{gathered} 1(1+r)^{27}=2 \\ \Rightarrow27\ln (1+r)=\ln 2 \\ \Rightarrow\ln (1+r_{})=\frac{0.693}{27} \\ \Rightarrow1+r=1.0257 \\ \Rightarrow r=0.026 \end{gathered}[/tex]

Thus annual growth rate is 2.6%

b. For continuous growth,

[tex]\begin{gathered} 1(e^{27x})=2 \\ \Rightarrow27x=0.693 \\ \Rightarrow x=0.025 \end{gathered}[/tex]

The continuous growth rate is _2.5___% per year

Can someone help with 16,17 and 18 ! thank you !

Answers

In questions 16, 17 and 18 we have a right triangle and in the three cases you know the measues for 2 sides, except for hipotenuse.

We can use the following relation to solve the problem:

[tex]tg(x)=\frac{\text{Opposite side}}{Adjacent\text{ side}}[/tex]

16)

[tex]\begin{gathered} tg(x)=\frac{\text{1}7}{7}=2.4285 \\ tg(x)=2.4285 \\ x=tg^{-1}(2.4285) \\ x=68\degree \end{gathered}[/tex]

17)

[tex]\begin{gathered} tg(x)=\frac{8}{10}=0.8 \\ x=tg^{-1}(0.8) \\ x=39\degree \end{gathered}[/tex]

18)

[tex]\begin{gathered} tg(x)=\frac{\text{1}1}{8}=1.375 \\ x=tg^{-1}(1.375) \\ x=54\degree \end{gathered}[/tex]

A cooking for the nursing home is preparing 100 yeast rolls for dinner the dry ingredients needed include 14 1/8 cups of flour 6 3/8 cups of sugar and 3/8 cups of salt how many cups of dry ingredients are in this recipe

Answers

Answer:[tex]20\frac{7}{8}cups\text{ or 19}\frac{15}{8}\text{of dry ingredients}[/tex]

Explanations:

Given the following ingredients

Cups of flour = 14 1/8 = 113/8 cups

Cups of sugar = 6 3/8 cups = 51/8 cups

Cups of salts = 3/8 cups

Calculate the total cups of dry ingredients

[tex]Total\text{ cups}=\frac{113}{8}+\frac{51}{8}+\frac{3}{8}[/tex]

Find the LCM

[tex]\begin{gathered} Total\text{ cups}=\frac{113+51+3}{8} \\ Total\text{ cups}=\frac{167}{8} \\ Total\text{ cups}=20\frac{7}{8}cups \\ Total\text{ cups}=19+1\frac{7}{8} \\ Total\text{ cups}=19+\frac{15}{8} \\ Total\text{ cups}=19\frac{15}{8}cups \end{gathered}[/tex]

Therefore there are 19 15/8 cups of dry ingredients in this recipe

Which relation IS a function?

Answers

Answer: B.

Step-by-step explanation: A function relates an input to an output.

The relation which is a function is: function 1.

Option A is correct.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).

A relation is a function when each input have only one output.

Function 1 have one output to each corresponding output.

Function 2 have two output for input x= 2.

Function 3 have two output for input x= 3.

Function 4 have two output for input x= 1.

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CRITICAL THINKING Find the values of a, b, and c so that the linear system shown has (---1. 2. --3) as its only solution. Explain your reasoning. x + 2y - Bra -r-y +z = b 2x + 3y - 2z=c enter your answer as follows: a=_,b=_,c=__without any spaces. Show Your Work

Answers

1) Let's set the system of linear equations:

x +2y -3z = a

-x -y +z = b

2x +3y -2z =c

2) Since the solution has already been given ( -1,2,-3) all that's left to do, is to plug it into each equation so that we can find a, b and c. Just like this:

x +2y - 3z = a ⇒ (-1) +2(2) -3(-3) = a ∴ a = 4

-x -y +z = b ⇒ -(-1) -(2) +(-3) = b ∴ b = 0

2x +3y -2z =c ⇒ 2(-1) +3(2) -2 (-3)=c ∴ c = -2

3) Hence, a = 4 b = 0 and c = -2

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Measure and record your height in feet and inches and then convert your height to meters and then to centimeters. Feet-inches: ________________ Meters: _________________ Centimeters: ________________ The enzyme amylase will affect the breakdown of carbohydrates, but it will not affect the breakdown of proteins. The ability of an enzyme molecule to interact with specific molecules is most directly determined byA) shapes of the molecules involvedB) number of molecules involvedC) sequence of bases present in ATPD) amount of glucose present in the cell question is in the picture write and solve a real world problem in which you find the commission The table below represents the snacks that Sidney and Erica purchased at the movies last month. Write a system of equations to determine the price of each candy and each drink. What similarities in attitude do both poems express?(please give a more descriptive answer) A student measured the string as 2.43 m long. The teacher said it was actually 2.12 m long.What was the student's percent error? Create three probability application problems of your own. Solve your problems. Explain your answers. Do you think that humans have a responsibility to monitor how they influence the biosphere? Which component of ethical decision making do you believe best explains student cheating: moral awareness, moral judgment, or moral intent? Why do you feel that way Convection, conduction, or radiation?? in 9 consecutive spins of the wheel of fortune, none of the spins land on "bankrupt". the next contestant worries that he is more likely to land on bankrupt now because bankrupt is due. CORRECT ANSWERS ASAP!!! Needing help on this. Giving bunch of points + brainliest =]!! CORRECT ANSWERS CORRECT ANSWERS Which answer best summarizes the state's responsibilities to the national government under the articles of confederation? states had to pay taxes set by congress. states sent judges to the federal courts. states had the option to provide or refuse congress with troops to defend the nation if needed. states could make foreign treaties and declare war if needed. I need help on this also could you check if the first 3 questions are correct you deposit $3,300 in account with an annual interest of 3.3% for 20 years. what is the amount of money you'll have at the end of the 20 years? What characteristics of eukaryotic cell gives them greater capacity for specialization than prokaryotic cells?Explain your answer. A table is on sale for $589, which is 24% less than the regular price.What is the regular price? What structural aspect of the dna facilitates dissociation of the two dna strands for replication?. can someone please help me find the value of x to this equation