A. Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.) The set of whole numbers less than 9.
B. Use set-builder notation to write the following set.
{1, 4, 9, 16, 25, 36, 49, 64, 81}
{x | x is a positive square number less than or equal to 81}
{x | x is a positive square number less than or equal to 100}
{x | x is a positive number less than or equal to 9}
{x | x is a positive square number greater than or equal to 1}
none of these
C, State whether the given pair of sets are equal, equivalent, both, or neither.
{1, 2, 9}; {I, II, IX}
A. equal
B. equivalent
C. both
D. neither

Answers

Answer 1

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point A:

[tex]\{0,1,2,3,4,5,6,7,8\}[/tex]

For point B:

{x | x is the positive square number less than or equal to 81}

For point C:

All given sets were equal and equal, that since elements and the element no. are identical.


Related Questions

Wally has a coupon to get 28% off a ticket to a Red Sox game. If the original price for his ticket is $160, how much will he pay for the ticket? Show/explain how you know!​

Answers

Answer:

28% off 160.00 is 115.20

The difference is 44.80

Step-by-step explanation:

One way is to multiply 160 by 28 percent, and then divide the answer by one hundred, then deduct that result from the original price.

Purchase Price:

$160

Discount:

(160 x 28)/100 = $44.80

Final Price:

160 - 44.80 = $115.20

Thus, a product that normally costs $160 with a 28 percent discount will cost you $115.20, and you saved $44.80.

You can also calculate how much you save by simply moving the period in 28.00 percent two spaces to the left, and then multiply the result by $160 as follows: $160 x .28 = $44.80 savings.

Furthermore, you can get the final price by simply deducting .28 from 1 and multiplying it by $160 as follows: (1 - .28) x $160 = $115.20 final price.

Answer:

160-44.8=115.2

Step-by-step explanation:

160 would be 100%

28%=x

[tex]\frac{160}{x} = \frac{100}{28}[/tex]

[tex]\frac{x}{160} =\frac{28}{100}[/tex]      x=44.8

28% of 160 would be 44.8

160-44.8=115.2

5 1/2 qt -_= 4 cups plreaseeeee help

Answers

Answer: 5.5 quarts = 22 cups

Step-by-step explanation:

1 cup = 4 cups

to convert cups to quart, just multiply by 4

5.5 x 4 = 22

Help me please!!! Who ever helps gets brainliest!!!!!
Evaluate 3 + (-h) + (-4) where h = -7.

Answers

[tex]\boxed{6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 + ( - h) + ( - 4)[/tex]

Putting the value "h = -7" in the above expression, we have

[tex]3 + [ - ( - 7)] - 4 \\ = 3 + 7 - 4 \\ = 10 - 4 \\ = 6[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

( And )

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

6

Step-by-step explanation:

Replace h with -7

3+ [-(-7)]+(-4)

Multiply the negative with -7. The answer for it is 7

Add 3 and 7, which is 10

Subtract 10 with -4 which is 6

Answer is 6

Hope this helps!

Which type of function is shown in the table below?
x f(x)
1 8
2 15
3 24
4 35
5 48

Answers

Answer:

2 15 sorry po kung mali

Step-by-step explanation:

Wala pong step by step

Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of 17. Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value?
Size Value
Sandwich 9 6
Fruit 3 4
Drink 4 6
a) List and explain carefully what the decision variables are.
b) Write out the objective function.
c) Write out the constraints.
d) Write the linear program.
e) Solve the Linear Programming problem using excel. Show your results.

Answers

Answer:

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi  ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z  = 6*x₁  +  4*x₂  + 6*x₃      Objective Function

Constraint :

basket capacity  17

9*x₁  +  3*x₂  +  4*x₃  ≤  17

General constraints:

x₁   ≥  0     x₂    ≥  0     x₃  ≥  0    all integers

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

Diana averages 6 mph walking
to school. Averaging 35 mph on
the way back home by car, she
takes 3 hour less time.
How far is the school
from her home?

Answers

Answer:

Distance between school and home = 105 miles.

Step-by-step explanation:

Let distance = D miles

Time to take walking/jogging, t1 = D/6 hours

Time by car, t2 = D/35 hours

Average time, t

= (t1+t2)/2

= D(1/6+1/35)

= (D/210)(35+6)

=41D/210 hours

Given t = t1-3 hours

41D/210 - D/6 = 3

Solve for D

41D/210 - 35D/210 = 3

(41-35)D/210 = 3

6D/210 = 3

D = 3*210/6 = 105 miles.

(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)

Evaluate 32 to the power of -2/5

Answers

Answer:

Step-by-step explanation:

32=-80*(-2/5) bấm máy là ok mà

Answer:

[tex] {32}^{ \frac{ 2}{ - 5} } [/tex]

note that it's not important if the minus sign is with the 2 or with the 5, it allows us to calculate

[tex] {32}^{2} [/tex]

first, and then take the 5th root from the solution

[tex] {1024}^{ \frac{1}{ - 5} } [/tex]

=

[tex] \sqrt[ - 5]{1024} = \frac{1}{4} [/tex]

I solved the last part with a virtual calculator, but double checked it (see screenshot)

Which inequality represents all values for X for which the product below is defined?

Answers

Answer:

x ≥0

Step-by-step explanation:

Given the product:

√(5x)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(5x)*√(x+3)≥0

Find the product

√(5x)(x+3)≥0

Square both sides

(5x)(x+3)≥0

5x≥0 and x+3≥0

x≥0/5 and x ≥0 - 3

x ≥0 and x ≥-3

Hence the required inequality is x ≥0

HELP PLSSSSSS I will give Brainlyest

Answers

Answer:

51/8

Step-by-step explanation:

LCM of 8, 4 and 2 = 8

7/4*2=14/8

3/2*4=12/8

15/8+14/8+12/8=41/8 So Jerry played 41/8 or you can say 4 1/8 hours with his friends

Answer:

[tex]5\frac{1}{8}[/tex] hours

Step-by-step explanation:

First find the common denominator for all numbers.

The common denominator for all of those numbers will be 8.

[tex]1\frac{3}{4}=1\frac{6}{8}[/tex]

[tex]\frac{3}{2}[/tex]         The fraction is improper so we must simplify it!

[tex]1\frac{1}{2}[/tex]       Then convert it to a mixed number having a common denominator of 8!

[tex]1\frac{1}{2} =1\frac{4}{8}[/tex]  

Final Results: [tex]1\frac{6}{8} + 1\frac{4}{8} +1\frac{7}{8} =5\frac{1}{8}[/tex]

Final Answer: [tex]5\frac{1}{8}[/tex]

how do you find volume of sphere, cylinder, cone ? ... explaining please

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is given by :

[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]

Where

r is the radius of the sphere

The formula for the volume of a cylinder is given by :

[tex]V_c=\pi r^2 h[/tex]

Where

r and h is the radius and height of the cylinder

The formula for the volume of a cone is given by :

[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r and h is the radius and height of the cone

Solve the following equation by completing the square. 4x2 – 160 + 8 = 0

Answers

I’ll get you some help, give me on second

Solve the equation 4(c-3)=8
What are two ways to start solving this equation? Choose both ways.

Answers

Answer:

- Use the distributive property to get 4c-12=8

-Divide both sides by 4 to get c-3 = 2

Step-by-step explanation:

- Use the distributive property to get 4c-12=8

[tex]4(c - 3) = 8 \\ 4 \times c - 4 \times 3 = 8 \\ 4c - 12 = 8[/tex]

Answer:4c-12=8

Step-by-step explanation:

4(c-3)=8

4xc-4x3=8

4c-12=8

Pleaseeee help is for today

Answers

Answer:

4

Step-by-step explanation:

yes

Find the measure of the missing angle

Answer: a=

Answers

Answer:

Hello! answer: 49

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

90 - 41 = 49 therefore a = 49 hope that helps!

Answer:

Step-by-step explanation:

anfle a+41 degree=90 degree(being perpendicular)

angle a=90-41

angle a=49

Which of the following is not an undefined term?

point
ray
plane
line

Answers

Answer:

point line and plane

Step-by-step explanation:

they are not an undefined term

Assume that a standard number cube is rolled.Find the theoretical probability of each event to the red box that has the correct solution

Answers

Answer:

well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance

Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly

Niccola travels at an average speed of 40 mph for 50 miles.
Without stopping, Niccola then travels 60 miles in 1.75 hours.
Find her average speed for the entire journey to 2 dp.

Answers

Answer:

Step-by-step explanation:

I am sorry i need points, i cant

DUE IN 5 MINUTES PLEASE HELP

Answers

Answer:

it's a

Step-by-step explanation:

He lost 50 lbs over a 5 moth period

A right triangle has side lengths d, e, and f as show below. Use these lengths to find Sin x, cos x, and tan x. (marking BRAINLEST)​

Answers

Answer:

Sine of X = d/f

Cos of X = e/f

Tan of X = d/e

Step-by-step explanation:

In this case, the opposite is d, the adjacent is e and the hypotenuse is f.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

MT is a diameter of OE. Calculate the measure of ZMTH.

A. 17°

B. 34°

C. 68°

D. 146

NEED HELP please, check the picture

Answers

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

Find the area of each sector. Omg please help due in 5 min!!

Answers

The answer is C (289pi/6 mi2)

When the admission price for a baseball games was $4 per ticket, 40,000 tickets were sold. When the price was raised to $5, only 35,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively.
A) Find the profit P as a function of x, the number of tickets sold P(x)=
B) Select the graph of P
C) find the marginal profits when 20,000 tickets were sold and when 40,000 tickets were sold. P'(20,000)= $ Per ticket P'(40,000)= $ Per ticket

Answers

Answer and explanation:

A. profit P as a function of x, the number of tickets sold

P(x)= total revenue - total cost

For 40000 tickets at $4

=40000×4-0.10×40000+$95000

=$160000-$99000

=$61000

For 35000 tickets at $5

= 35000×$5-0.10×35000+$95000

= $175000-$98500

= $76500

B. P has a downward slope like a demand curve. Increase in price equal to decrease in profit.

C. P(40000)= $4-$0.10+$95000/40000

= $4-$2.475

= $1.525

Price for 20000 tickets was not stated in question but feel free to use an arbitrary price(price should be higher than that for 35000 tickets and 40000 tickets)

if a student is selected at random, find the probability the student is a junior. round to the nearest whole percent! i’m not good at probability so an explaination would be appreciated!!!

Answers

Answer:

the answer is 40%.

Step-by-step explanation:

probability= total number of juniors all over total number.

that is , 8

20

2

5

rounding it the nearest whole percent is

2 × 100

5

40%.

The probability that the selected student is a junior is 27%.

What is the probability of an event?

The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.

If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:

P(A) = n/S.

How do we solve the given question?

We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.

We are asked to find the probability of selecting a junior student while picking a random student from the class.

Let the event of selecting a junior student from the class be A.

Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)

Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.

∴ The probability that the selected student is a junior is given by:

P(A) = n/S = 8/30

or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).

∴ The probability that the selected student is a junior is 27%.

Learn more about the probability of an event at

https://brainly.com/question/7965468

#SPJ2

what was ram previous salary if he now get Rs 18600 after are increment by 20%​

Answers

Answer:

Rs 15500

Step-by-step explanation:

x = previous salary

0.20x + x = 18600

      1.20x = 18600

     /1.20      /1.20

             x = 15500

 

consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?

Answers

Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]

The population standard deviation is 1.92.

help plssssss theres 2 pages

Answers

Answer:

10 × 5 - (- 6)² + (- 8) = 6

(- 5)² × 3 ÷ 5 + 9 = 24

(10 ÷ (- 5) - (- 2)) × (- 3)³ = 0

4 × (- 6) ÷ 8 + 3³ = 24

(- 5)² - 2 × (- 9) + 6 = 49

3 × 10 + 8 - 4² = 22

(- 9) - (- 8) + 2 × 4² = 31

(- 3)³ - 2 + 8 ÷ (- 8) = - 30

8 ÷ (- 4) × (- 6)² + 7 = - 65

4 × (- 8) + 6 - (- 2)³ = - 18

Step-by-step explanation:

10 × 5 - (- 6)² + (- 8)

10 × 5 - 36 - 8

10 × 5 - 36 - 8

50 - 36 - 8

50 - 44

6

(- 5)² × 3 ÷ 5 + 9

25 × 3 ÷ 5 + 9

75 ÷ 5 + 9

15 + 9

24

(10 ÷ (- 5) - (- 2)) × (- 3)³

(10 ÷ (- 5) - (- 2)) × - 27

(10 ÷ - 5 + 2) × - 27

(- 2 + 2) × - 27

0 × - 27

0

4 × (- 6) ÷ 8 + 3³

4 × (- 6) ÷ 8 + 27

- 24 ÷ 8 + 27

- 3 + 27

24

(- 5)² - 2 × (- 9) + 6

25 - 2 × - 9 + 6

25 + 18 + 6

49

3 × 10 + 8 - 4²

3 × 10 + 8 - 16

30 + 8 - 16

30 - 8

22

(- 9) - (- 8) + 2 × 4²

(- 9) - (- 8) + 2 × 16

- 9 + 8 + 2 × 16

- 9 + 8 + 32

32 - 1

31

(- 3)³ - 2 + 8 ÷ (- 8)

- 27 - 2 + 8 ÷ - 8

- 27 - 2 - 1

- 27 - 3

- 30

8 ÷ (- 4) × (- 6)² + 7

8 ÷ (- 4) × 36 + 7

- 2 × 36 + 7

- 72 + 7

- 65

4 × (- 8) + 6 - (- 2)³

4 × (- 8) + 6 - (- 8)

- 32 + 6 + 8

- 32 + 14

- 18

[tex]10 x 5-(-6)^2 +(-8)\\10x5-36+(-8)\\50-36+(-8)\\50-28\\22[/tex]

[tex](-5)^2[/tex]x3÷5+9

25x3÷5+9

75÷5+9

15+9

24

(10÷(-5)-(-2))x(-3)³

((-2)-(-2))x(-3)³

0x(-3)³

0x(-27)

0

4x(-6)÷8+3³

4x(-6)÷8+27

(-24)÷8+27

(-3)+27

24

(-5)²-2x(-9)+6

25-2x(-9)+6

25+18+6

43+6

49

3x10+8-4²

3x10+8-16

30+8-16

38-16

22

(-9)-(-8)+2x4²

(-9)-(-8)+2x16

(-9)-(-8)+32

(-9)-24

(-33)

(-3)³-2+8÷(-8)

(-27)-2+8÷(-8)

(-27-2+(-1)

(-27)-1

(-28)

8÷(-4)x(-6)²+7

8÷(-4)x(-36)+7

8÷144+7

0.055+7

7.055

4x(-8)+6-(-2)³

4x(-8)+6-8

(-32)+6-8

(-26)-8

(-34)

I hope this will help you. ^^

Solve 5(11x - 2) = 155

Answers

Answer:

3

Step-by-step explanation:

5(11x-2) = 155

⇔ 55x - 10 = 155

⇔ 55x = 155 + 10

⇔ 55x = 165

⇔ x = [tex]\frac{165}{55}[/tex]

⇔ x = 3

Answer:

x=3

Step-by-step explanation:

5(11x - 2) = 155

Divide each side by 5

5/5(11x - 2) = 155/5

11x-2 = 31

Add 2 to each side

11x-2+2 = 31+2

11x=33

Divide by 11

11x/11 = 33/11

x=3

y=x^2 + 2
Tell whether it is a minimum or maximum.
O (0, 2); maximum
O (2,0); minimum
O (0, 2); minimum
O (2,0); maximum

Answers

(0, 2) minimum is the correct answer

What is the mean of the following numbers?


x-3a,x-2a,x-a,x,x+a

Answers

Answer:

x - a

Step-by-step explanation:

The mean is calculated as

mean= [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{x-3a+x-2a+x-a+x+x+a}{5}[/tex]

         = [tex]\frac{5x-5a}{5}[/tex]

         = [tex]\frac{5(x-a)}{5}[/tex]

         = x - a

Writing in Math Explain how you could convert a rate of miles
per hour to a rate of miles per second.

Answers

Answer:

divide the speed value by 3600

according to the most used browser by the name of g

Step-by-step explanation:

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