Suppose that the universal set U is the set defined as U = {whole numbers the numbers greater than 5 and less than 15) Write the sets A and B out in roster notation. tes C = {a number in the number is an odd number} = { } D = {a number in the number is a composite number} Find each of the following: n(C) n(D)

Answer:

3√6

Step-by-step explanation:

\( {a}^{2} = {b}^{2} + {c}^{2} \)

\( = {1}^{2} + {( \sqrt{53} )}^{2} \)

\( = 1 + 53\)

\( {a}^{2} = 54\)

\(a = \sqrt{54} = 3 \sqrt{6} \)

The correct answer is option c. $0.79

As per the question:

No. of pea cans in a case = 18 cans

Weight of each can of peas = 12 ounces

Price of a case of peas = $14.22

The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question

Therefore, the formula to be used for solving:

Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)

Price per unit can of peas= ($14.22/18)

The price per unit can of peas= $0.79

Hence, option c is the correct answer

Learn more about cost and pricing:

https://brainly.com/question/19075809

#SPJ4

Answer:

- 5

Step-by-step explanation:

Step 1:

f ( x ) = - x - 2

Step 2:

f ( 3 ) = - 3 - 2

Answer:

- 5

Hope This Helps :)

Answer:

16 cards.

Step-by-step explanation:

Answer:

Someone do the Question!!!  

Step-by-step explanation:

The equation that models Amanda’s situation using distance, d, from the streetlight as a linear function of walking for t- seconds is d = 4t + 6.

An equation basically means a mathematical statement including variables and operators that shows that two expressions are equal. Any equation can be solved using the PEMDAS rule. where P stands for Parenthesis, E stands for Exponents, D stands for Divide, M for Multiplication, A for Addition and S for Subtraction.

The distance is given by d, and the time is t.

Amanda walks at a rate of 4 feet per second, so after t seconds she will walk 4t distance.

She starts at a distance of 6 feet from the streetlight, so the equation will be,

d = 4t + 6

Therefore, the equation that models Amanda’s situation using distance, d, from the streetlight as a linear function of walking for t- seconds is d = 4t + 6.

To learn more about Equations follow the below link:

https://brainly.com/question/26260688

#SPJ4

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

Learn more about variable costs here https://brainly.com/question/29001139

#SPJ11

Answer:

27.5 cm

Step-by-step explanation:

since CD is 5 times greater than segment AB, all you need to do is multiply segment AB times 5 to figure out how much segment CD is.

5.5*5= 27.5 cm

Each campsite will receive 7.8 liters of water.

If the campers collect water from a stream and share it equally among 8 campsites, we need to determine how much water each campsite receives.

The total amount of water collected is given as 62.4 liters in a bucket. To find the amount of water per campsite, we divide the total amount of water by the number of campsites.

Dividing 62.4 liters by 8 campsites gives us 7.8 liters per campsite.

It's important to note that this calculation assumes an equal distribution of water among all the campsites. However, in practical situations, the division may not be exact due to factors such as spillage, uneven pouring, or variations in the bucket's actual capacity.

For such more questions on liters

https://brainly.com/question/25964777

#SPJ8

Answer:

Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.

Tamara needs tiles to make a border for her bathroom wall. The border will be 9 ft long and 1/3 ft wide. Each tile measures 1/3 ft by 1/3 ft. Each box of tiles contains 6 tiles.  Tamara needs 5 boxes of tiles.

First, we need to determine the area of the border in square feet. We are given that the border will be 9 ft long and 1/3 ft wide, so its area is:

Area = length x width

Area = 9 ft x 1/3 ft

Area = 3 ft²

Next, we need to determine the area of one tile in square feet. We are given that each tile measures 1/3 ft by 1/3 ft, so its area is:

Area per tile = length x width

Area per tile = 1/3 ft x 1/3 ft

Area per tile = 1/9 ft²

To cover the 3 ft² border with tiles that have an area of 1/9 ft² each, we need:

Number of tiles = Area to cover / Area per tile

Number of tiles = 3 ft² / (1/9 ft²)

Number of tiles = 27 tiles

Since each box of tiles contains 6 tiles, Tamara needs:

Number of boxes = Number of tiles / Tiles per box

Number of boxes = 27 tiles / 6 tiles per box

Number of boxes = 4.5 boxes

We can't buy a fractional part of a box, so Tamara will need to purchase 5 boxes of tiles.

For such more question on boxes:

https://brainly.com/question/28485009

#SPJ4

Answer:

-13/4

Step-by-step explanation:

Step-by-step explanation:

The common factor in the expression is 3x, so we can factor it out:

3x(x² - 4x + 4)

Now, we can factor the quadratic expression inside the parentheses as a perfect square:

3x(x - 2)²

Therefore, the factored form of the expression is 3x(x - 2)².

Answer:

22 pounds and 13 ounces

Step-by-step explanation:

I hope this helps!

An expression has numbers, variables, and mathematical operations. The expression that represents the profit made by the organization is 5x-200.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the profit is the difference between the revenue and cost. Therefore, the expression that represents the profit can be written as,

\(\rm Profit = Revenue - Cost\)

        \(= (3x^2+4x-60)-(3x^2-x+200)\\\\= 3x^2+4x-60-3x^2+x-200\\\\=5x-260\)

Thus, the expression that represents the profit made by the organization is 5x-200.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

draw a girl and a boy with a son or a daughter and you got a proptional relationship

Step-by-step explanation:

Answer:

b=a^2-6

Step-by-step explanation:

Answer:

square both sides, you will get

\(a^{2} = b + 6\\b = a^{2} - 6\)

Step-by-step explanation:

square both sides, you will get

\(a^{2} = b + 6\\b = a^{2} - 6\)

In solving for the radius (r) of the can, to get 6.82, both sides of the equation in the last step was divided by 43.96.

From the image shown, the formula for the volume of the juice can was expressed as:

V = Bh, where:

B is the area of the base of the can = πr² (r = radius)

h is the height of the can

Given the parameters below:

Volume (V) = 300 cubic centimeters

h = 14 cm

π = 3.14

Plug in the values:

300 = 3.14 * r² * 14

300 = 43.96r²

Divide both sides by 43.96:

300/43.96 = 43.96r²/43.96

6.82 ≈ r²

Square both sides:

√6.82 ≈ √r²

2.61 ≈ r

Learn more about the radius of a can on:

https://brainly.com/question/12269818

#SPJ1

━━━━━━━☆☆━━━━━━━

▹ Answer

This is proportional.

▹ Step-by-Step Explanation

\(\frac{12}{6} \\\\Divide each side by 3:\\\\12/3 = 4\\\\6/3 = 2\\\\= \frac{4}{2}\)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer: yes

Step-by-step explanation: A proportion is a pair of equal ratios. So when we’re asked to determine whether two ratios form a proportion, what we’re really being asked to do is determine whether the two ratios are equal because i the ratios are equal, then we know they form a proportion.

So in this problem, we need to determine whether 12/6 = 4/2.

The easiest way to determine whether 12/6 = 4/2 is to use cross-products.

If the cross-products are equal, then the ratios are equal.

The cross products for these two ratios are (12)(2) and (6)(4).

Are these products equal?

Well (12)(2) is 24 and (6)(4) is 24.

Since 24 = 24, we can see that the cross-products are equal which means that the ratios are equal and since the ratios are equal, we know that they form a proportion. So the answer is yes, 12/6 and 4/2 form a proportion.

Answer:

720 liters

Step-by-step explanation:

In 2019 (a non-leap year)

January has 31 days

February has 28 days

March has    31 days

The Total number of days is 90 days

Each day shows a consumption rate of 8 liters / day

Total consumption = 8 * 90 = 720

Answer:

1. We'll be looking at g(x) and from the table when x = 3,000 Angela owes 44,600 dollars.

2. f(3) = 2000

   g(2000) = 45,000

3. g(3,500) = 44,400 and f(6) = 3,500 so the answer is 44,400 - 3,500 = 40,900.

4. From the table when f(x) = 2,500, x = 4.

5. From the table when g(x) = 44,200, x = 4,000.

Answer:

1. when f(x) = $ 3000 the loan still 44,600

2. f(3) means her saving in 3rd month. so f(3) is 2000 then g(2000) is 45000

3. g(3500) - f(6) = 44400 - 3500 = 40,900

4. based on table f(x), x is 4

5. based on table g(x) (the right one), x is 4000

The range of the exponential function y = bx is all real numbers except 0.

The exponential function y = bx is defined as the equation where b is the base and x is the exponent. The range of this equation is all real numbers except 0. This is because when x is negative, the value of y will be a fraction (or a decimal) which is always a real number except for 0. When x is positive, the value of y will be a multiple of b which is also always a real number except for 0.

Therefore, the range of the exponential function y = bx is all real numbers except 0.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer:

2 ...

Step-by-step explanation:

since LM = 8

and LN = 10

therefore MN = LN - LM .

MN = 10 - 8 .

MN = 2

The means to study and analyze economic phenomena, formulate economic models, make predictions, and derive policy recommendations.

1. Importance of studying mathematics in economics:

a. Modeling and Analysis: Mathematics provides the tools and techniques for constructing models that represent economic phenomena.

These models help economists analyze and understand complex economic systems, predict outcomes, and make informed decisions.

b. Quantitative Analysis: Economics involves analyzing numerical data and making quantitative assessments. Mathematics equips economists with the necessary skills to handle and manipulate data, perform statistical analysis, and draw meaningful conclusions from empirical evidence.

c. Logical Reasoning and Problem Solving: Mathematics trains students to think critically, logically, and abstractly. These skills are essential in economics, where students need to formulate and solve economic problems, derive solutions, and interpret results.

2. Mathematical tools used in economics:

a. Calculus: Calculus plays a crucial role in economics by providing techniques for analyzing and optimizing economic functions and models. Concepts such as derivatives and integrals are used to study economic relationships, marginal analysis, and optimization problems.

b. Linear Algebra: Linear algebra is employed in various economic applications, such as solving systems of linear equations, representing and manipulating matrices, and analyzing input-output models.

c. Statistics and Probability: Statistics is used to analyze economic data, estimate parameters, test hypotheses, and make inferences. Probability theory is essential in modeling uncertainty and risk in economic decision-making.

d. Optimization Theory: Optimization theory, including linear programming and nonlinear optimization, is used to find optimal solutions in various economic problems, such as resource allocation, production planning, and utility maximization.

e. Game Theory: Game theory is a mathematical framework used to analyze strategic interactions and decision-making among multiple agents. It is widely applied in fields such as industrial organization, microeconomics, and international trade.

To know more about predictions refer here:

https://brainly.com/question/27154912#

#SPJ11

Answer:

90 Minutes

Step-by-step explanation:

We are told in the question:

Each year, every performance is allotted the same amount of time.

Last year, there were 10 performances, and the show lasted 60 minutes.

This year, there are 15 performances.

Therefore,

10 performances = 60 minutes

15 performances = x minutes

Cross Multiply

10 × x = 60 × 15

x = 60 × 15/10

x = 90 minutes

This year's talent show will last 90 minutes

Answer:

90 I copied it from the other guy sorry i made sure it was right though

Step-by-step explanation:

Answer:

b = 14.34

Step-by-step explanation:

sin(Θ) = (Opposite/Hypotenuse)

sin(35)= (b/25)

25 x sin(35) = 14.33941091

The interval on the x-axis where there is a negative rate of change in the function is from -2 to -1.5.

To determine the interval with a negative rate of change in the function, we need to analyze the function's behavior over each given interval. A negative rate of change indicates that the function is decreasing as the value of x increases. Among the provided intervals, the only interval where this occurs is from -2 to -1.5. In this interval, as x increases from -2 to -1.5, the function's values decrease, resulting in a negative rate of change. The other intervals (-1.5 to 0.5, 0 to 1, and 0.5 to 1.5) may have different rates of change, but they do not exhibit a consistently negative trend as x increases, indicating a positive or zero rate of change.

To learn  more about negative rate: -brainly.com/question/22257655

#SPJ11

Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

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

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES

Option c, relevant quantitative factors, is the correct answer.

Direct materials and direct labor costs are factors that directly affect the production of a single product. They are important in determining the cost of producing the product and, therefore, are relevant quantitative factors that need to be considered when making a decision about whether to produce a product.

Qualitative factors, on the other hand, are non-monetary considerations such as market demand, competition, technological advancements, and environmental concerns, which may also impact the decision to produce a product, but are not directly related to the cost of production.

Therefore, in considering whether to produce a single product, both qualitative and quantitative factors need to be taken into account. However, direct materials and direct labor costs are relevant quantitative factors that are important in making an informed decision about the profitability of the product.

To learn more about product click here

brainly.com/question/30284183

#SPJ11