To which sets do positive integers belong? Select all that apply.

A.

Integers

B.

Natural numbers

C.

Whole numbers

D.

Rational numbers

1) Two points are the minimum** number **of points that need to be plotted to have instances of all four groups of numbers.

2) The sets that positive integers belong to among the available are;

**possibilities **

Choices A, B, C, and D

1) There are two basic categories into which numbers are often divided:

- **Rational numbers**

- **Irrational numbers**

The four examples above are all different categories of **rational numbers**.

Positive integers are now by definition also known as whole numbers and natural numbers. Whole numbers and natural numbers can therefore be displayed in one graphic.

Since integers may be both positive and negative, as well as include fractions, another plot will be needed to display them.

In order to plot the fewest number of points necessary to provide examples for each of the four sets of numbers

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Recall that the volume of the a right circular cone with height h and radius …

**Given:**

The change in volume by time is, (dV/dt) = 10 cubic feet per minute.

The diameter and height of the right circular one are equal, 2*r* = *h*.

Height of the pile is, *h* = 21 ft.

The objective is to find the rate of increase in height of the pile.

**Explanation:**

The general formula of volume of cone is,

[tex]V=\frac{1}{3}\pi r^2h\text{ . . . . . (1)}[/tex]From the given data, radius of the cone can be calculated as,

[tex]\begin{gathered} 2r=h \\ r=\frac{h}{2} \end{gathered}[/tex]Substitute the value of *r* in equation (1).

**To find rate of increase in height of the pile:**

Now, differentiate equation (2) with respect to time *t*.

**Substitute (dV/dt) and ****h ****in equation (3).**

On plugging the obtained values in eqation (3),

[tex]\begin{gathered} 10=\frac{\pi}{4}\times(21)^2\frac{dh}{dt} \\ \frac{dh}{\mathrm{d}t}=\frac{10\times4}{21^2\times\pi} \\ \frac{dh}{dt}=0.02887164\ldots.\text{.} \\ \frac{dh}{dt}\approx0.029\ldots\text{ ft/min} \end{gathered}[/tex]**Hence, the rate of increase in height of the pile is 0.029 ft/min.**

Female

Male

Total

10

113

Snellville Stone

Mountain

12

14

26

316

10

20

30

Suwanee

8

16

24

Consider the following table with information about a sample of students from Phoenix High School and where they

live. If a person is randomly selected determine the following probability provided the condition: P(Female | Suwanee).

Total

30

50

80

If a person is randomly selected, the** probability** provided the condition is P(Female | Suwanee) is 1/3.

**Probability **is used to determine the odds in favor or against a random event happening. The odds in favor or against an event happening has a probability value that lies between 0 and 1.

The higher the odds of an event happening, the closer the **probability** value would be to 1. If it is equally likely that the event might happen or not happen, the **probability** value will be 0.5.

P (Female | Suwanee) is the p**robability **that a person is female given that the person is from Suwanee.

P (Female | Suwanee) = total number of females from Suwanee / total number of people from Suwanee

8 / 24 = 1/3

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The length of the long leg in a 30°-60°-90° triangle is 3√2 cm. What is thelength of the short leg?￼

**Answer**

**x = √6**

**Explanation**

We will first sketch this triangle.

Let the short leg of the triangle be **x**

In a right-angle triangle, the side opposite the right angle is the **Hypotenuse**, the side opposite the given angle that is non-right angle is the **Opposite** and the remaining side is the **Adjacent.**

So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is **θ**, the trignometric ratios in short forms are written as

**SOH, CAH and TOA**

**SOH means Sin θ = (Opp/Hyp)**

**CAH means Cos θ = (Adj/Hyp)**

**TOA means Tan θ = (Opp/Adj)**

So, the one to be used depends on the sides of the triangle that are provided.

For this triangle, using the angle **60° **as the non-right-angle angle

**Hypotenuse = ?**

**Opposite = 3√2**

**Adjacent = x**

**Angle = 60°**

**TOA means Tan θ = (Opp/Adj)**

**Tan 60° = (3√2)/x**

**Tan 60° = √3**

**Tan 60° = (3√2)/x**

**√3 = (3√2)/x**

Cross multiply

**x = (3√2)/(√3)**

**x = (√3) (√2)**

**x = √6**

**Hope this Helps!!!**

**Answer:**

x = √6

**Step-by-step explanation:**

The number of yards Y is equal to the number of feet F divided by 3 find formula and graph it

**Respuesta:**

Si el número de yardas (**Y**) es **igual** al número de pies (**F**) **dividido por 3**, entonces podemos establecer la siguiente ecuación:

La gráfica de esta ecuación es una linea recta con pendiente 1/3 y que pasa por el origen, como sigue:

Find odds in favor of winning ring and find against winning the ring

We have a randomly selected prize out of 9 objects (4 rings, 4 headsets and 1 camera).

a) We have to calculate the odds in favor of Mary winning a ring.

The odds can be expressed as the proportion (or quotient) between the probabilities of winning a ring and the probabilities of *not* winning a ring.

This will also be equal to the number of outcomes that will be a ring (4 elements are rings) divided by the number of outcomes that are not a ring (5 elements are not a ring):

[tex]o_{wr}=\frac{4\/9}{5\/9}=4:5[/tex]b) Now, we have to calculate the odds against Mary winning a ring.

This will be the inverse of the previous result, as we have to divide the probability of not winning a ring by the probability of winning.

We can then write:

[tex]o_{nwr}=\frac{5\/9}{4\/9}=5:4[/tex]**Answer:**

**a) 4 : 5**

**b) 5 : 4**

During a physics lab, students added weights of different masses to aspring. After adding each weight to the spring, they measured how far theweight was from the lab tabletop, in centimeters. Then they graphed thedata and calculated the line of best fit to be y = -1 x + 10.25Weight Distance fromthe Tabletop (cm)108642Effect of Weightson a Spring0 50 100 150 200 250 300Mass (g)What does the x-intercept represent?-XAt 250 grams, the weight will touch thetabletop.With no weight, the spring is 10centimeters above the tabletop.The weight will be 250 centimetersabove the tabletop when the spring hasa mass of 10 grams on it.The spring stretches and the weight is 1centimeter closer to the tabletop forevery 25 grams added to it.

**Solution:**

Given the graph below:

where the equation of the line of best fit is expressed as

[tex]y=-\frac{1}{25}x+10[/tex]The x-intercept represents:

**The correct option is**

Explain the meaning of 5!

a. 1+2+3+4+5

b.5-4-3-1-0

c.0×1×2×3×4×5

d. 5•4•3•2•1

The** number 5** in mathematics denotes a quantity or value of 5. Five is the entire number between four and six. Five is the name of the number. Sam the little shows off five fingers.

The **distance between 5 and 0** is the absolute value of 5. Then you go 1, 2, 3, 4, and 5. To the immediate right of zero, 5 is located. As a result, 5 has an absolute value of 5.

It denotes the sum of all succeeding integers, inclusively from 1 to 5.

That ' s** 5! = 5*4*3*2*1 =120.**

Also known as five factorials.

What's the name of a five-digit number?**Ten-thousands**

Answer and justification A five-digit figure is one that is in the tens of thousands. This is due to the fact that 10,000 is the smallest positive whole number with five digits.

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Write Expression to represent the total area as the sum of the areas of each room

We are given the following areas:

The total area of the square is given by:

[tex]11(7+4)[/tex]If we apply the distributive property we get:

[tex]11(7+4)=11\times7+11\times4[/tex]Which is equivalent to determining the area of the interior rectangle and adding them together.

**Answer:**

11x7+11x4

**Step-by-step explanation:**

your welcome <3

Temperature is usually measured on the Fahrenheit scale (°F) or the Celsius scale (°C). Use the formula F = 1.8C+ 32 to convert from one scale to the other. The highest temperature ever recorded in Virginia Beach, Virginia, was 104°F. Find the temperature in degrees Celsius. 219°C 26°C b. 155°C d. 40°C

**Answer:**

**The temperature in degrees Celsius is;**

**Explanation:**

Given the formula for converting Temperature from Celsius to Fahrenheit as;

[tex]F=1.8C+32[/tex]Where;

F = temperature in Fahrenheit

C = temperature in Celsius

To convert from Fahrenheit to Celsius, let us make C the subject of formula;

[tex]\begin{gathered} F-32=1.8C \\ C=\frac{F-32}{1.8} \end{gathered}[/tex]To convert 104°F to Celsius, let us substitute the value into the derived formula;

[tex]\begin{gathered} C=\frac{F-32}{1.8} \\ C=\frac{104-32}{1.8} \\ C=40^0C \end{gathered}[/tex]Therefore, **the temperature in degrees Celsius is;**

in and perform the symmetry test on each of the folha (b) 9x - y = 9 (d) 25x - 36y? = 900 (1)-25x + 4y = 100 (h) -x + 4y = 16 endpoints of the conjugate axis fundament for each

[tex]y^2-x^2=1[/tex]

therefore the center of the hyperbole is (0,0) and it's symmetry axis is the y-axis and the x-axis. The intercepts are (0,-1) and (0,1)

Solve for x:

X=

76⁰

9x+1

40°

The **value** of x is 7 and the measure of unknown **angle** is 64°.

The angles of triangle are given 76°, (9x+1)° and 40°.

What is angle sum property of a triangle?**Angle sum property** of triangle states that the **sum** of interior **angles** of a triangle is 180°.

Now, **sum** of three **angles** of a **triangle** is

76°+(9x+1)°+40°= 180°

⇒ 116+9x+1 = 180

⇒ 9x + 117 = 180

⇒ 9x = 63

⇒ x = 7

So, 9x+1=64°

Therefore, the **value** of x is 7 and the measure of unknown **angle** is 64°.

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Please help me I’ll mark u brainly

**Answer:**

A: (-3,0)

B:(-3,-5)

C:(-6,0)

**Step-by-step explanation:**

invert the signs on all numbers to flip it 180 degrees, then add 4 to each y point to translate up 4

A(-3,0)

B(-3,-5)

C(-6,0)

B(-3,-5)

C(-6,0)

Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores an 88 or below?

**Answer:**

93.32 %

**Step-by-step explanation:**

88 - 82 = 6 points

this is 6 /4 = z-score + 1.5

from z score table , this corresponds to .9332 or 93.32 %

HELPP PLEASE

Choose A

( A is the answer <3)

PLS HELP DUE TODAY THE IXL

**Answer:**

**Step-by-step explanation:**

Answer:

Graph the line 3x + 6y =12.

Use the line tool and select two points on the line.

**Answer: First divide everything by 3 to make it simpler. Then subtract 12 on both sides to get the equation "x+2y-12 = 0. You can then graph this.**

**Step-by-step explanation:**

I am just all around confused with this. Well explanation needed!

**Given:**

m∠A = (4x - 2) degrees

m∠B = (11x + 17) degrees

Let's find the value of x if the angles A and B are complementary angles.

Complementary angles are angles that sum up to 90 degrees.

Hence, we have:

m∠A + m∠B = 90

(4x - 2) + (11x + 17) = 90

Let's solve for x.

• Remove the parentheses:

4x - 2 + 11x + 17 = 90

• Combine like terms:

4x + 11x - 2 + 17 = 90

15x + 15 = 90

• Subtract 15 from both sides:

15x + 15 - 15 = 90 - 15

15x = 75

• Divide both sides of the equation by 15:

[tex]\begin{gathered} \frac{15x}{15}=\frac{75}{15} \\ \\ x=5 \end{gathered}[/tex]**Therefore, the value of x = 5**

**ANSWER:**

**x = 5**

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.1/6A) 60%B) 16.7%C) 1.7%D) 27.8%

SOLUTION:

[tex]\frac{1}{6}=(\frac{1}{6}\times\frac{100}{1})\%=\frac{100}{6}\%[/tex]This can be simplified to give;

[tex]16.7\%[/tex]

Write the correct expression for the following statement.

The quotient of x and three

**Answer:**

[tex]\frac{x}{3}[/tex] or x/3 or x÷3

A farmer is going to divide her40 acre farm between two crops. Seed for crop A costs $30 per acre. Seedfor crop B costs $15 per acre. The farmer can spend at most $1050 on seed.If crop B brings in a profit of $70 per acre, and crop A brings in a profit of $180 per acre, how many acres ofeach crop should the farmer plant to maximize her profit?acres of crop Aacres of crop B

Given: A farmer is going to divide her40 acre farm between two crops

To Determine: How many acres of each crop should the farmer plant to maximize her profit

Solution

[tex]\begin{gathered} x=acres\text{ for crop A} \\ y=acres\text{ fro corp B} \end{gathered}[/tex][tex]\begin{gathered} Therefore: \\ x+y\leq40 \\ 30x+15y\leq1050 \\ Profit\text{ functon is} \\ P=70y+180x \end{gathered}[/tex]The graph of the inequalitiesis as shown below

Neglecting the negative axis, the point that will maximize the profit are te points shown above with their coordinates

The coordinates will maximum profits are

[tex]\begin{gathered} Point1:(0,40) \\ Point2:(35,0) \\ Point3:(30,10) \end{gathered}[/tex]Substitute the 3 points into the profit functions to determine thepoint that will given the maximum profit

[tex]\begin{gathered} P=180x+70y \\ Point1 \\ P1=180(0)+70(40) \\ P1=0+2800 \end{gathered}[/tex][tex]\begin{gathered} Point2 \\ P2=180(35)+70(0) \\ P2=6300+0 \\ P2=6300 \end{gathered}[/tex][tex]\begin{gathered} Point3 \\ P3=180(30)+70(10) \\ P3=5400+700 \\ P3=6100 \end{gathered}[/tex]**Hence, the point that will maximize profit is (35, 0), which is **

**35 acres of crop A, and**

**0 acre of crop B**

continued - calculating gross payRemember, this is money round to the nearest Penny/hundredths place.

**ANSWER:**

Regular pay is $383.2

Overtime rate is $14.37

Overtime pay is $114.96

Gross pay is $498.16

**STEP-BY-STEP EXPLANATION:**

Assuming the overtime multiplier is 1.5 and the standard work week is 40 hours. Therefore, we calculate the regular payment like this:

[tex]RP=40\cdot9.58=383.2[/tex]The overtime rate would be the value of the normal payment times the overtime multiplier, like this

[tex]OTR=9.58\cdot1.5=14.37[/tex]Then we multiply the number of additional hours to the 40 hours allowed, that is, 8 (48 - 40), for which one gives overtime pay

[tex]OTP=8\cdot114.96=114.96[/tex]Now the gross pay would be the sum of the regular payment with the overtime payment:

[tex]GP=114.96+383.2=498.16[/tex]The model represents an equation. What value of x makes the equation true? Enter your answer in the box below

the value of x are that makes it true

Find the interest and future value of a deposit of $8,750 at 3% for twenty years.

**Answer**

Interest = **$5,250**

Future value = **$14,000**

**Explanation**

Given:

Principal, P = $8,750

Rate, R = 3%

Time, T = 20 years

What to find:

The interest and future value.

Step-by-step solution:

**The Interest**

The interest can be calculated using the simple interest formula below.

[tex]Interest=\frac{P\times R\times T}{100}=\frac{\$8,750\times3\times20}{100}=\$5,250[/tex]The interest of $8,750 at 3% for twenty years is **$5,250**

**The future value**

Future value = Amount = Principal + Interest

Future value = $8,750 + $5,250

**Future value = $14,000**

whats 2+2 i cant figure it out

**Answer: 4**

**Step by step solution: **

The measure of an angle and it’s complement differ by 22 degrees. Find the larger angle.

The measure of an **angle** and its** complement **differ by 22 degrees and the larger is 56°

The total of the two angles' measurements determines their **complement **and **supplement**. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a **right angle**.

1. If the total of two angles equals 90°, the **angles** are considered to be complements of one another.

2. Let x° and y° be the two angles. Since they **complement** one another, the two angles' sum will be 90 **degrees**.

= x + y = 90°. (Assume equation 1 is used.)

3. The two angles differ by 22 **degrees**, hence the equation will be,

= x - y = 22°. (Put equation 2 in.

4. To determine the values of x and y, solve equations 1 and 2.

Add equations 1 and 2 together.

= x + y + x - y = 90 + 22,

= 2x = 112°,

= x = 56°.

5. In **equation** 1, change the value of x.

= 56° + y = 90°,

= y = 90 -56,

= y = 34°.

So, the measure of the two** angles** is 56°, and 34°.

And the larger angle is 56°

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What is 78,600 rounded to the nearest thousand

**Answer:**

79,000

**Step-by-step explanation:**

:]

**Answer:**

79000.

**Step-by-step explanation:**

What does the variable r represent?The population correlation coefficientThe sample correlation coefficientThe coefficient of determinationThe critical value for the correlation coefficient

Given:

Variable r

To determine the what variable r represents, we first note that it is a common way to indicate a correlation value. We also note that coefficient of determination, r^2, is simply the square of the sample correlation coefficient (i.e., r).

**Therefore, variable r means:**

**The sample correlation coefficient**

ANSWERS ASAP PLEASEEEEE

**Answer:**

y= -3x+3

**Step-by-step explanation:**

atleast I think so

Last year, Kaitlyn had $30,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $2580 in interest. How much did she invest in each account?First account:Second account:

**Answer:**

**She invested an amount of $3,000 in the first accont and $27,000 in the second account**

**Explanation:**

Here, we want to get the amount invested in each of the accounts

To get this,let us write the simple interest formula

Mathematically, we have this as:

[tex]I\text{ = }\frac{PRT}{100}[/tex]Let the amount invested in the first account be $x, while that of the second account be $y

P represent the amounts invested

R is the rate of investment

T is the time (1 year)

The sum of these two is the $30000 she has to invest

Mathematically, we have this as:

[tex]x\text{ + y = 30000}[/tex]Let us get the interests on each of the accounts

For the first account, we have the interest as:

[tex]I_1\text{ = }\frac{x\times5\times1}{100}\text{ = }\frac{5x}{100}[/tex]For the second account, we have the interest as:

[tex]I_2\text{ = }\frac{y\times9\times1}{100}\text{ =}\frac{9y}{100}[/tex]The sum of these two is the interest value, which is as follows:

[tex]\begin{gathered} I_1+I_2\text{ = }\frac{5x}{100}+\frac{9y}{100}\text{ = 2580} \\ \\ 5x\text{ + 9y = 258000} \end{gathered}[/tex]So, we have two equations to solve simultaneously

The two equations are:

[tex]\begin{gathered} x\text{ + y = 30000} \\ 5x\text{ + 9y = 258000} \end{gathered}[/tex]We can solve this by substitution

Let us substitute for y

[tex]y\text{ = 30000-x}[/tex]Insert this into the second equation, we have this as:

[tex]\begin{gathered} 5x\text{ + 9(30000-x) = 258000} \\ 5x\text{ + 270000-9x = 258000} \\ 9x-5x\text{ = 270000-258000} \\ 4x\text{ = 12000} \\ x\text{ = }\frac{12000}{4} \\ x\text{ = 3,000} \end{gathered}[/tex]Recall:

[tex]y\text{ = 30000-x = 30000-3000 = 27000}[/tex]What this mean is that:

She invested an amount of $3,000 in the first accont and $27,000 in the second account

f(x)=7x-3 for f(x)= -38

**Answer:**

f(x)= -269

**Step-by-step explanation:**

f(x)=7x-3

Since we know f(x)= -38, we can substitute x for -38.

So:

f(-38)=7(-38)-3

f(-38)= -266-3

f(x)= -269

**Answer:**

-7x=38+3

-7x=41/-7=5.8

write a response either agreeing or disagreeing on weather christopher columbus was a hero or villan.
3. Complete a table like the one below to show the pros and cons of the two mainenvironmentalist points of view.PreservationConservationaturalPROSCONS
question mode multiple select question select all that apply q-mart failed to include inventory that was kept in a separate warehouse in its 12/31 end-of-the-period inventory count. consequently, the ending inventory on 12/31 was understated on the balance sheet. explain how this error affects the current year's income statement. (check all that apply.) multiple select question. the current year's cost of goods sold will be too high. the current year's net income will be too low. the current year's cost of goods sold will be too low. the current year's net income will be too high.
2HC2H3O2 + Na2CO3 = h20 + co3 + 2nac2h3o2
Determine the cross-sectional area of a copper conductor if its resistance is 0.2 ohm and its mass is 0.2 kg. So:R=0.2 Ohm, m=0.2 kg, =0.017 m/m, S=?
HELPP PLEASE
Last year, Kaitlyn had $30,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $2580 in interest. How much did she invest in each account?First account:Second account:
please help*Note: The sample questions in parentheses are just a guide to help you form your questions. You must come up with your own original work keeping academic integrity intact.What to include in your survey HintQuestion one: Write one question asking your friend when he/she can go or wants the party using the correct form of the verb querer or preferir. (e.g., When do you want the party?)Remember:Use the correct form of querer or preferir.Use the correct question word for when.Use correct punctuation and accent marks.Question two: Write one question asking what drink he/she prefers using the correct form of the verb preferir. (e.g., What do you prefer: coffee or tea?)Remember:Use the correct form of preferir.Use the correct question word for what.Use correct punctuation and accent marks.Question three: Write one question asking your friend what fruit he/she likes more, using the verb gustar. (e.g., What do you like more: grapes or strawberries?)Remember:Use the correct question word for what. (Hint: It also means which.)Use the correct form of gustar.Use the word for more in Spanish after your form of gustar.Use correct punctuation and accent marks.Question four: Write one question asking your friend what vegetable he/she likes more, using the verb gustar. (e.g., What do you like more: pepper or broccoli?)Remember:Use the correct question word for what. (Hint: It also means which.)Use the correct pronoun before gustar.Use the correct form of gustar.Use the word for more in Spanish after your form of gustar.Use correct punctuation and accent marks.Question five: Write one question about what food he/she likes. (e.g., What food do you like?)Remember:Use the correct question word for what. (Hint: It also means which.)Use the correct pronoun before gustar.Use the correct form of gustar.Use correct punctuation and accent marks.
Temperature is usually measured on the Fahrenheit scale (F) or the Celsius scale (C). Use the formula F = 1.8C+ 32 to convert from one scale to the other. The highest temperature ever recorded in Virginia Beach, Virginia, was 104F. Find the temperature in degrees Celsius. 219C 26C b. 155C d. 40C
if you place a glass rod over a burning candle, the glass appears to turn black. what is happening to each of the following (physical change, chemical change, both, or neither) as the candle burns? explain each answer.
Find odds in favor of winning ring and find against winning the ring
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The model represents an equation. What value of x makes the equation true? Enter your answer in the box below
continued - calculating gross payRemember, this is money round to the nearest Penny/hundredths place.
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Noah is studying a type of sea sponge that grows at a constant rate. They measured the age and height of 333 pieces of the sponge. Here's what they found:
A farmer is going to divide her40 acre farm between two crops. Seed for crop A costs $30 per acre. Seedfor crop B costs $15 per acre. The farmer can spend at most $1050 on seed.If crop B brings in a profit of $70 per acre, and crop A brings in a profit of $180 per acre, how many acres ofeach crop should the farmer plant to maximize her profit?acres of crop Aacres of crop B
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Write the correct expression for the following statement. The quotient of x and three
Solve for x:X=769x+140