Which expression has a value of 3?


(12+6)÷3+3

12+6÷(3+3)


12+(6÷3+3)


(12+6)÷(3+3)

Marta's theory lacks practical significance or real-world applicability.

Marta's theory suggests that filling out a job application in crayon leads to a lower probability of being hired.

However, she mentions that almost nobody fills out an application in crayon.

This means that the finding or theory has no practical significance because it doesn't affect a significant number of people or have a real impact in real-world scenarios.

If the vast majority of job applicants do not use crayon to fill out their applications, Marta's theory becomes inconsequential because it doesn't provide any meaningful insight or guidance for job seekers.

The theory lacks practical significance because it doesn't have any practical implications or relevance in the context of job applications and hiring processes.

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Answer:

Step-by-step explanation:

Answer:

π /2

Step-by-step explanation:

Answer:

f(x) - g(x) = 3x - 5

Step-by-step explanation:

Hi,

To subtract f(x) and g(x), we need to do (5x - 2) - (2x + 3). We solve and we get 3x - 5. So, f(x) - g(x) = 3x - 5.

The second answer choice is correct.

I hope this helps :)

Answer:

D 9

Step-by-step explanation:

569.37 = 62.50x + 7.23

562.14 = 62.5x

x = 9.04 so 9 pairs

The student bought 9 pairs of shoes.

"It defines a relation between one variable and another variable."

"It is a function of the form f(x) = ax + b, where a, b are real numbers."

For given example,

The total cost, t, of the pairs of shoes, 'x', can be found by the linear function below.

t = 62.50x +7.23

the student spent $569.37 on shoes,

⇒ t = $569.37

We need to find the number of pairs of shoes the student bought.

Substitute t = 569.37 in the given linear function and find the value of 'x'

⇒  569.37 = 62.50x + 7.23

⇒  562.14 = 62.50x

⇒ x = (562.14) / (62.50)

⇒ x = 8.99

⇒ x ≈ 9

Therefore, the student bought 9 pairs of shoes.

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Decision analysis is the study of the possible payoffs and probabilities associated with a decision alternative or a decision strategy in the face of uncertainty.

This approach helps decision-makers evaluate various options and make informed choices under uncertain conditions.

The study of the possible payoffs and probabilities associated with a decision alternative or a decision strategy in the face of uncertainty is known as decision analysis.

Decision analysis is a systematic approach to decision-making that uses mathematical and statistical tools to evaluate different alternatives and their associated risks and rewards.

It involves identifying the possible alternatives, the possible outcomes, and the likelihood of each outcome, and then using this information to select the best course of action.

Decision analysis is commonly used in a wide range of fields, including business, engineering, healthcare, and environmental management.

In business, decision analysis is often used to evaluate investment opportunities, new product development, and strategic planning.

In engineering, decision analysis is used to evaluate design options and project risks.

In healthcare, decision analysis is used to evaluate treatment options and medical technology.

In environmental management, decision analysis is used to evaluate the risks and benefits of different policies and regulations.

The key steps in decision analysis include defining the problem, identifying alternatives, assessing probabilities, evaluating outcomes, and selecting the best alternative.

This involves a range of techniques, such as decision trees, utility theory, sensitivity analysis, and Monte Carlo simulation.

These techniques help decision-makers to evaluate the trade-offs between risks and rewards and make informed decisions in the face of uncertainty.

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(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Height of the goalpost is 3.21 m.

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Now, We know that;

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

Hence, As we can see in the picture attached, both the angles (θ) are equal.

m ∠ACB = m ∠ECD = 90° - θ

m ∠ABC = m ∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

AB / ED = CB / CD

1.65 / ED = 4.95 / 9.65

15.92 = 4.95 ED

ED = 3.21 m

Thus, Height of the goalpost is 3.21 m.

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Answer: 1.084

Step-by-step explanation:

The thousandths place is the third number to the right of the decimal, which in this case would be 3.

Since the number following the thousandths place (Ten-thousandths) is 5 here, we know to round up.

Answer:

y=14.62

Step-by-step explanation:

7.36 for each cap

$36.80 is the cost for 5 caps. if we divide the cost of the pack to the individual number of idems (caps), the equation (36.80÷5) will come out to $7.36, meaning $7.36 is the cost for each individual cap.

His shadow changing at the instant when he is 24 feet from the pole Is \(\frac{95}{13}\)

What do triangles that are similar mean?

The related angle measurements and proportional side lengths of similar triangles are the same.

In this diagram, x represents the distance between the man and the pole, while y represents the distance between the shadow's tip and the pole. My assumption is that the man and the pole are both standing straight up, making the two triangles comparable.

by comparison, \(\frac{y-x}{y} = \frac{6}{19}\)

\(19(y-x)=6(y)\\19y-19x=6y\\19y-6y=19x\\13y=19x\\y=\frac{19}{13} y\)

differentiate both sides with respect to t or time.

\(\frac{dy}{dt}=\frac{19}{13}\frac{dx}{dt}\)

You know \(\frac{dx}{dt}\) = 5 ft/s because the man is edging away from the pole at that pace. Find out \(\frac{dy}{dt}\) how quickly the shadow's tip is moving.

That Means, \(\frac{dy}{dt}= \frac{19}{13} * 5 = \frac{95}{13}\)ft/s
Actually, it doesn't matter how far the man is from the pole because only his speed impacts how quickly his shadow moves.

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Answer:

the answer is c im in college so

Step-by-step explanation:

if u help me i help u :)

h = -4.9t^2 + vt

In our problem,

v = 12

t = 2

Let's plug our numbers into the equation.

h = -4.9(2)^2 + (12)(2)

h = -19.6 + 24

h = 4.4 m

Answer:

well first 312 in radical form is  √312 and that simplified is 2√78 or 17.66352173

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

In all the answer choices, the distance between 0 and 1 is 10.

4/10 = 0.4

The only line that proves this is line d.

Hope this helps!

Answer:

D.

Step-by-step explanation:

The number lines goes by the scale of 0.1 per each line, meaning that if the dot is one line after 0, then the dot is 0.1. This can be interpreted by counting the number of lines from one number to another.

A. is 0.5

B. is 0.7

C. is 0.6

D. is 0.4

So, the correct answer is D.

Most of the kinetic energy of the water is transferred into the water, then the thermal energy will increase. Hence, option C is correct.

Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.

The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.

As per the given information in the question,

When the kinetic energy of the diver is transferred into the water, the thermal energy will increase.

The entity's thermal energy grows as the average kinetic energies of its particles rise. As a result, an object's thermal energy rises as its temperature does.

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Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

a). The percentage of adults that exercise is 42%

b). Percentage of adults are vegetarian is 40%

c). percentage of adults who are vegetarian and exercise is 26%

d). No, because the percentage found in part c is about the same as part b.

Percentage is a number or ratio that can be expressed as a fraction of 100.

According to data, total number of adults = 150

No. of vegetarian who exercise = 39

no. of non vegetarian who exercise = 24

No of vegetarian who don't exercise = 21

a). percentage of adults exercise = 39+24/150×100

=42%

similarly b) percentage adults are vegetarian = 39+21/150×100

= 40%

c) percentage of adults who are vegetarian exercise = 39/150×100

= 26%

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Write a function which accepts a nested list of integers and returns the count of all the integers greater than 0. This can be done in a recursive manner by first flattening the nested list and then counting all the integers that are greater than 0.The function can be implemented using any programming language such as Python, Java, or C++.

A nested list is a list that contains other lists. It is a common data structure used in programming languages such as Python, LISP, and Scheme. The task at hand is to write a function that accepts a nested list of integers and returns the count of all the integers greater than 0. To accomplish this task, we can use a recursive approach. The first step is to flatten the nested list into a single list. This can be done by recursively iterating through the list and adding each element to a new list.

Once we have a single list, we can count all the integers that are greater than 0 using a loop or list comprehension. Finally, we return the count as the output of the function. Here is an implementation of the function in Python: def count_positive(lst): flat_list = [] for i in lst: if type(i) == list: flat_list. extend(count _ positive(i)) else: flat _ list. append(i) return len([x for x in flat_list if x > 0])The above function takes a nested list as an argument and returns the count of all the integers greater than 0.

The function first flattens the list and then counts all the integers that are greater than 0 using a list comprehension. The function can be tested using the example given in the question:>>> count_positive([[6,[-3,[1]]],[4,-1,[[0],5]]])5In the above example, there are five integers greater than 0 in the nested list. Therefore, the output of the function is 5.

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I believe these should be the coordinates

The volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y = 0, y = 8 + x⁷ about the c-axis is 8π/9.

To find the volume of the solid, we need to use the method of cylindrical shells. We can slice the region into thin cylindrical shells with radius x and height (8 + x⁷). The circumference of each shell is 2πx and the thickness of each shell is dx.

Therefore, the volume of each shell is (2πx)(8 + x⁷)dx.

Integrating this expression from x=0 to x=1, we get:

V = ∫₀¹ 2πx(8 + x⁷)dx

= 2π ∫₀¹ (8x + x⁸)dx

= 2π [4x² + x⁹/9] from x=0 to x=1

= 2π[(4 + 1/9) - 0]

= 8π/9

Hence, the volume of the solid is 8π/9.

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Answer:

(2x - 3)  cm

Step-by-step explanation:

Area of window = height × length

Given:

To find the length of the window, factor the expression for Area.

Factor  \(4x^2+2x-12\):

Find 2 two numbers that multiply to the product of the leading coefficient and the constant (4 × -12 = -48) and sum to the coefficient of the middle term (2):  -6 and 8

Rewrite the middle term as the sum of these 2 numbers:

\(\implies 4x^2-6x+8x-12\)

Factorize the first two terms and the last two terms separately:

\(\implies 2x(2x-3)+4(2x-3)\)

Factor out the common term (2x - 3):

\(\implies (2x+4)(2x-3)\)

Therefore, the length of the window is (2x - 3)  cm

(2x-3)cm

Answer:

Solution given:

height =2x+4

length=?

Area of window =(4x²+2x-12)cm²

we have

length*height =Area

length*(2x+4)=4x²+2x-12......(1)

Firstly let factorize 4x²+2x-12

taking common 2(2x²+x-6)

doing middle term factorization 2(2x²+4x-3x-6)

=2(2x(x+2)-3(x+2))

=2(x+2)(2x-3)

substituting it in equation 1

length*(2x+4)=2(x+2)(2x-3)

length*2(x+2)=2(x+2)(2x-3)

length =2x-3 cm

The length of window is (2x-3)cm

Answer:

Domain: (-3, 1] and Range: [-4, 0]

Step-by-step explanation:

The domain is the set of the x-coordinates.

-3 is not included, but numbers greater than -3 are included up to 1, including 1.

Domain: (-3, 1]

The range is the set of the y-coordinates.

The lowest y-coordinate is -4, and the highest is 0.

Range: [-4, 0]

Answer: Domain: (-3, 1] and Range: [-4, 0]

Answer: Domain: {-3, oo) and Range: {0,oo)

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

As a result, 8.72% compound interest is required to double an investment in 8 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of 10 p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

For option A, the simple interest formula can be used:

Simple Interest = Principal x Rate x Time

After 7 years, Sipho will have:

Simple Interest = 7500 x 0.2025 x 7 = R10,147.50

So the total amount he will have after 7 years is:

Total Amount = Principal + Simple Interest = 7500 + 10147.50 = R17,647.50

For option B, the compound interest formula can be used:

\(A = P(1 + r/n)^{(nt)\)

\(A = 7500(1 + 0.15/1)^7 = R18,856.89\)

Where A is the total amount, P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the time in years.

After 7 years, Sipho will have:

A = 7500(1 + 0.15/1)⁷ = R18,856.89

Therefore, option B is financially more rewarding.

To find the rate of compound interest that will double an investment in 8 years, we can use the formula:

\(A = P(1 + r/n)^{(nt)\)

where A is the final amount (double the initial investment), P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the time in years.

We want to find r, so we can rearrange the formula to:

\(r = n[(A/P)^{(1/nt)} - 1]\)

Let's plug in the values we know:

P = 1 (the initial investment)

A = 2P = 2

t = 8

n = 1 (compounded annually)

\(r = 1[(2/1)^{(1/(1*8)}) - 1] = 0.0872 or 8.72%\)

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