Simplify the following expression, combining terms as appropriate and combining and canceling units. (6.75 m/s^2)(1.00 km/1.00 x10^3 m)(60.0 s/1.00 min)^2 = ? 4.05 x 10^-4 m/min^2 0.405 km/s 405 m/min
24.3 km/min^2 2.43 x 10^4 m/s^2

There were 425 guests at a hotel. 170 guests ordered food. 40 percentage of the guests ordered food.

A percentage is a fraction of a whole in mathematics, which is denoted by the symbol per 100. A single unit out of a hundred, or one hundredth of something, is represented as a single percent, such as 1%. The Latin phrase per centum, which means by the hundred, is where the word percent originates. Percentage does really refer to a hundredth or 1/100 of something.

Given,

Total number of guests = 425

Guest who ordered food = 170

For percentage,

Value/ Total × 100%

170/425 × 100%

0.4 × 100%

40%

There were 425 guests at a hotel. 170 guests ordered food. 40 percentage of the guests ordered food.

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Step-by-step explanation:

Hi, Hope this will help:)

hello

let's get the functions out first

Answer: Formula is 2πr^2

Step-by-step explanation:

plug in and it is 196*π

Answer: A= 196\(\pi\)  

Step-by-step explanation:

The area of a circle formula:

A=\(\pi r^{2}\)                       >r=14   substitute in

A=  \(\pi( 14^{2} )\)                >simplify 14²

A= 196\(\pi\)                   > leave pi  like a variable x to leave in terms of pi, do

                                      not multiply by 3.14

In programming, output refers to the information that a program sends to the user or to another program. In this particular case, the output of the given code will be an error due to invalid syntax.

The code attempts to print a tuple containing the values (2, 'a') without specifying what to do with it or how to format it. This results in a syntax error that prevents the program from executing properly. Therefore, the correct answer to the question is "error, invalid syntax".

It's important to note that the dictionary dict = {1: 'x', 2: 'y', 3: 'z'} is not used in the code and does not affect the output.

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Answer: contingency leadership

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Write an equation to find the number of toppings, x, when you would pay for the same amount for Pizza A and B.

So, we have to make a relationship between Pizza A and Pizza B, and this is talking about the pizza and toppings so,

$10 + $1.50x = $12.50 + $1.00x

Now we solve for the x values and the starting amount of money,

0.50x = 2.50

and that gives us,

$5

The answer also solves for the bottom one, the answer you need on the top one is,

$10 + $1.50x = $12.50 + $1.00x

It Will take approximately 1.99 minutes for the element to decay to 80 grams.

To solve this problem, you can use the formula for exponential decay: y = a * b^x

Where "y" is the final amount of the substance, "a" is the initial amount of the substance, "b" is the decay constant (in this case, b = 0.5 since the half-life of element x is 11 minutes), and "x" is the time in which the decay occurs.

In this case, we are trying to find the value of "x" (the time in which the decay occurs) given the values of "y" (80 grams) and "a" (300 grams).

Substituting these values into the formula, we get:

80 = 300 * 0.5^x

To solve for x, we can divide both sides by 300 and take the logarithm of both sides: log(80/300) = log(0.5^x)

-1.386 = x * log(0.5)

-1.386 = x * -0.693

x = 1.99

This tells us that it would take approximately 1.99 minutes for the element to decay to 80 grams. Rounding to the nearest tenth of a minute, this is approximately 2.0 minutes.

Therefore, it would take approximately 1.99 minutes for the element to decay to 80 grams.  

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Answer:

50 feet

Step-by-step explanation:

The two triangles are congruent so KL=UV which means KL must equal 50 ft

Answer:

Step-by-step explanation:

Sum of the first n terms of AP

The sum of the first 12 terms of AP

1. aₙ = 4n + 1

2. aₙ = 7 - 5n

3. aₙ = 3 - 8n

4. aₙ = 4n -6

5. aₙ = n + 1/2

After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

Answer:

42 is a multiple of 7.

6 is a factor of 42

Step-by-step explanation:

Answer:

(x-3)^2 - 8, so a is 3 and b is 8

Step-by-step explanation:

use completing the square

hope this works :)

The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

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Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

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Answer:

f(x) = x – 3

Step-by-step explanation:

The equation that is written in function notation, with x as the independent variable is D. f(x) = x – 3

To write the equation as an independent variable, we simply need to isolate y.

The next step would be to subtract x from both sides:

-y = 3 - x

To eliminate the -ve sign in y, we would divide both sides by -1

y= -3+x

If we rearrange, the answer would be:

f(x) = x – 3

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The amount added each time increases because each initial population is larger. This type of growth is called exponential growth is the answer.

During each measured time period when the per capita growth rate of a population is positive (r > 0), a population will add a number to its population that equals exactly r times the initial population. This process continues with each succeeding time period. Exponential growth is a type of population growth that occurs when the number of individuals in a population increases at a constant percentage per unit of time. In exponential growth, the population increases by a fixed amount in each unit of time. Each time period, the amount added to the population increases because each initial population is larger. Population growth can be modelled by the equation dN/dt = rN, where N is the population size, t is time, and r is the per capita growth rate.

The solution to this differential equation is N = N₀e^(rt), where N₀ is the initial population size and e is the natural logarithm base (approximately 2.71828). The exponential growth model is useful in understanding the growth of populations with abundant resources and no natural limits on growth. However, in reality, no population can grow indefinitely because of environmental factors such as competition for resources, predation, disease, and other factors that limit population growth.

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Therefore, total surface area = 1100 sq units

Answer:

840

Step-by-step explanation:

3600=450+3.75x

3600-450=3.75x

3150=3.75x

3150/3.75=x

840=x

840

The probability that the fourth sale comes on the seventh call is approximately 0.185 (rounded to three decimal points).

To calculate the probability that the fourth sale comes on the seventh call, we can use the binomial probability formula. The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- P(X = k) is the probability of exactly k successes,

- n is the number of trials,

- k is the number of successful outcomes,

- p is the probability of success in a single trial.

In this case, the sales employee has a 30% chance of selling an extended warranty, so the probability of success (p) is 0.30. We are interested in the fourth sale occurring on the seventh call, which means there are three successful outcomes (k = 3) and six trials (n = 7).

Now we can calculate the probability using the formula:

P(X = 3) = C(7, 3) * 0.30^3 * (1 - 0.30)^(7 - 3)

Using combinations, C(7, 3) = 7! / (3! * (7 - 3)!) = 35.

P(X = 3) = 35 * 0.30^3 * 0.70^4

P(X = 3) ≈ 0.185

Therefore, the probability that the fourth sale comes on the seventh call is approximately 0.185 (rounded to three decimal points).

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The numbers, 8 is a multiple of are 1, 2, 4 & 8.

What is a multiple?

Multiples are values which come in other numbers multiplication table. When two numbers are multiplied together, the result is a multiple, or product. For instance, if we say 4 × 5 = 20, here 20 is a multiple of 4 and 5. The other multiples of 4 can be listed as 4 (4 ×1 = 4), 8 (4 × 2 = 8), 12 (4 × 3 = 12), and so on.

Solution/Explanation:

1*8=8

2*4=8

4*2=8

8*1=8

so there are 4 numbers whose multiple is 8.

Let's take a number 6

Now, we know that 6 comes in numbers 1, 2, 3, 6 multiplication table so 6 is a multiple of 1, 2, 3, 6

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Answer:

12 π

Step-by-step explanation:

Formula for circumference:     C = 2πr

Plug in the numbers: C= 2(π x 6)

Simplify:  2(6π)

= 12π

\(\dotfill\)Answer and Step-by-step explanation:

The circumference is calculated as C = 2πr.

(C is the circumference, π is pi, and r = radius)

So in terms of pi, the circumference will be:

C = 2π * 6

  = 12π ft

∴ Circumference = 12π ft

\(\dotfill\)

Answer:

15:24 will be your anwser

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Time-series plots are used for several reasons:

B. Time-series plots are used to identify any outliers in the data.

C. Time-series plots are used to identify trends in the data over time.

D. Time-series plots are used to present the relative frequency of the data in each interval or category.

First, we need to know that quantitative variable is required when drawing a time-series plot.

We need to also know that data points are graphically represented as time-series plots, with the variable of interest drawn on the y-axis and time commonly depicted on the x-axis. They demonstrate the variable's evolution over time.

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The minimum sample size is needed for the estimate if the mean is 9.7 reproductions and the standard deviation is known to be 2.4 is 3.15.

Given that,

A researcher is interested in learning how frequently a specific virus strand reproduces each hour. With a maximum inaccuracy of 0.22 reproductions per hour, he seeks to create the 95% confidence interval.

We have to find what minimum sample size is needed for the estimate if the mean is 9.7 reproductions and the standard deviation is known to be 2.4.

The mean of the sample ∑x = 9.7

The standard deviation of population σ = 2.4

Sample size n =0.22

The 95% of confidence intervals,

(∑x - Zₐ (S.D/√n),∑x + Zₐ (S.D/√n))

(9.7-1.28(2.4/√0.22),9.7+1.28(2.4/√0.22))

(3.15,16.24)

Therefore, The minimum sample size is needed for the estimate if the mean is 9.7 reproductions and the standard deviation is known to be 2.4 is 3.15.

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Public policies created by the government can attempt to build a ladder of opportunities so people are not just determined by their socioeconomic background by which they grew up.

Socioeconomic background refers to the social and economic status of an individual, often influenced by factors such as family income, education level, and occupation. It can significantly impact a person's access to resources, opportunities, and social mobility. However, public policies can play a crucial role in mitigating the influence of socioeconomic background and providing equal opportunities for individuals to succeed.

By implementing policies that address issues such as education, healthcare, employment, housing, and social welfare, governments can create an environment where individuals are not solely limited by the circumstances of their upbringing. For example, investing in quality education and providing equal educational opportunities can help level the playing field and ensure that children from disadvantaged backgrounds have access to the same resources and opportunities as their more privileged counterparts. This can break the cycle of intergenerational poverty and enable individuals to reach their full potential.

Furthermore, policies that promote inclusive economic growth, job creation, and skills development can offer individuals from all backgrounds the chance to improve their socioeconomic status. Implementing social welfare programs and safety nets can provide a safety net for those facing financial hardships and help reduce socioeconomic disparities.

In addition to addressing immediate needs, public policies can also focus on long-term strategies such as promoting equitable economic policies, reducing income inequality, and fostering social cohesion. By creating an environment that fosters equal opportunities and social mobility, governments can enable individuals to transcend the limitations imposed by their socioeconomic background.

In conclusion, public policies can be designed to build a ladder of opportunities that aim to reduce the influence of socioeconomic background on an individual's prospects. By implementing measures that enhance access to education, employment, healthcare, housing, and social welfare, governments can work towards creating a more equitable society where individuals are not solely determined by the circumstances in which they grew up.

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