Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Kendra's Bakery recently spent a total of $134 on new equipment, and their average hourly operating costs are $20. Their average hourly receipts are $22. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?​

Answer:

33

Step-by-step explanation:

A multiple is a number that is the product of a given number and some other natural number.

For example, when we multiply 11 by 3, we get 33, i.e. 11 × 3 = 33. Here, 33 is the multiple of 11. Also, 11 and 3 are called the factors of 33.

Answer:

81.25 mL

Step-by-step explanation:

65/16=4.0625

4.0625x20mL=81.25mL

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) \(y=\frac{3}{5} x +5\)

10) y = x - 3

11)  \(y=-\frac{3}{5} x - 3\)

12) \(y=\frac{5}{4} x + 2\)

these are the slop int forms, my bad...

sorry

Answer:

9) -3/5x + y = 5

10) -x + y = -3

11) 3/5x + y = -3

12) -5/4x + y = 2

Step-by-step explanation:

The number of Dutch men taller than 190 cm is approximately 100.

The proportion of men taller than 190 cm is estimated using the normal distribution.

We'll be using a normal distribution, which requires the mean and standard deviation of the height data.

The percentage of Dutch men who are over 190 cm tall can be estimated using a normal distribution model.

We must first determine the mean and standard deviation of the heights.

For the population mean and standard deviation, we use the following values.

μ = 181 cm (the mean of Dutch men's heights)

σ = 7 cm (standard deviation)We may now convert the height of 190 cm to a z-score, which is a standard score that represents the number of standard deviations from the mean of the distribution.

The z-score is calculated using the following formula: Z = (X - μ) / σ

where X is the height of 190 cm,

μ is the population mean,

and σ is the population standard deviation.

Z = (190 - 181) / 7 = 1.2857

We look up the percentage corresponding to this z-score in the standard normal distribution table.

Using the table, we can see that the percentage of individuals with a z-score greater than 1.2857 is 0.1003.

We will use this percentage to estimate the number of Dutch men over 190 cm tall in a random sample of 1000 men.0.1003 * 1000 = 100.3

The number of Dutch men taller than 190 cm is approximately 100.

To the nearest whole number, we round this up, and the expected number of men taller than 190 cm in a random sample of 1000 Dutch men is 101.

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Answer:I think it’s B

Step-by-step explanation:

The correct statement is :There will be 8 times as many guests as tables.

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1". The indicated quotient of two mathematical expressions. : the relationship in quantity, amount, or size between two or more things

Given here: For every 8 guests at a dinner party there is 1 table.

Let the total number of guests be 8x and x respectively then the ratio of guests to tables  is = 8x/x

                                =8/1

Thus the ratio of guests to table is 8:1

Hence, Option C is the correct answer i.e There will be 8 times as many guests as tables.

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Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest is the men in the village.  

the relevant population data are the heights of all men in the village, and the population parameter of interest is the average height of all men in the village there are 780 men in the village, and the sum of their heights is 4,617.6 feet. Therefore, the average height of all the men in the village is:

Average Height = Sum of Heights / Number of Men

Average Height = 4,617.6 feet / 780 min

Average Height = 5.92 feet

Instead of measuring the heights of all the village men, the researcher measured the heights of 13 village men and calculated the average to estimate the average height of all the village men. The sample for his estimation is the 13 village men, the relevant sample data are their heights, and the sample statistic is the average height of the 13 village men If the sum of the heights of the 13 village men is 79.3 feet, their average height is:

Average Height (sample) = Sum of Heights (sample) / Number of Men (sample)

Average Height (sample) = 79.3 feet / 13 min

Average Height (sample) = 6.10 feet.

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According to the online poll, 89% of the 200 respondents "love" David's podcast.

David conducted an online poll to gauge the level of appreciation his listeners have for his show. Out of the 200 respondents who participated in the poll, an impressive 89% expressed their love for the podcast. This indicates a high level of satisfaction and support from the audience. Gathering feedback through polls can provide valuable insights for content creators like David, helping them understand their audience's preferences and make informed decisions about their podcast. By engaging his listeners and actively seeking their feedback, David can continue to improve and cater to their interests, ultimately enhancing their overall experience with the show.

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Step-by-step explanation:

\(\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{substitute (1) to (2)}\\\\\dfrac{5}{2}x+2\left(\boxed{\dfrac{3}{4}x}\right)=5\\\\\dfrac{5}{2}x+\dfrac{6:2}{4:2}x=5\\\\\dfrac{5}{2}x+\boxed{\dfrac{3}{2}x}=5\qquad|\text{combine like terms}\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\\boxed{4x=5}\qquad|\text{divide both sides by 4}\\\\\dfrac{4x}{4}=\dfrac{5}{4}\\\\\boxed{x=\dfrac{5}{4}}\)

\(\text{Put it to (1):}\\\\y=\dfrac{3}{4}\left(\boxed{\dfrac{5}{4}}\right)\\\\y=\dfrac{3\cdot5}{4\cdot4}\\\\y=\boxed{\dfrac{15}{16}}\)

Answer:

8 weeks

Step-by-step explanation:

Let

w = number of weeks

John = 12 + w

Aiden = 4 + 2w

How many weeks (w) will it be before Aiden knows as many songs as John?

Equate both John and Aiden expression

John = Aiden

12 + w = 4 + 2w

Collect like terms

12 - 4 = 2w - w

8 = w

w = 8 weeks

It will take 8 weeks before Aiden knows as many songs as John

Answer:

84

Step-by-step explanation:

Answer:

I believe for the second one it's B, then for the third one it's D

Step-by-step explanation:

Oh also be careful w ur lunch # showing

The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.

Using the product rule, we have:

f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'

The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:

f'(x) = x*cos(x) + sin(x)

So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).

(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.

Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).

Using the chain rule, we have:

f'(x) = f'(u) * u'

The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:

(sech^(-1)(u))' = 1/sqrt(1 - u^2)

Since u = x^2, we have:

f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'

Simplifying:

f'(x) = 1/sqrt(1 - x^4) * 2x

So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

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A president would use a bully pulpit "by appealing directly to the public, the president hopes members of the public will influence their representatives to support those policy goals".

The term "bully pulpit" refers to the power of the presidency to use the public spotlight to sway public opinion and promote political agendas. By using speeches, press conferences, and other public appearances, a president can frame issues in a way that emphasizes the urgency and importance of their policy goals, and encourage citizens to take action.

If enough public pressure is generated, lawmakers may feel compelled to support the president's agenda in order to avoid public backlash. This tactic has been used by presidents throughout history to achieve policy objectives, from FDR's New Deal to Obama's healthcare reform.

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Only matrices of the same size can be added or subtracted.

A matrix is a rectangular array of numbers and is composed of rows and columns. In order to add or subtract matrices, the matrices must have the same number of rows and columns. If the matrices do not have the same size, they cannot be added or subtracted.

For example, if one matrix is a 2x3 matrix, the other matrix must also be a 2x3 matrix. Similarly, if one matrix is a 3x2 matrix, the other matrix must also be a 3x2 matrix. The numbers in each matrix may vary, but the size of the matrices must be the same for the operation to be valid.

When adding or subtracting matrices, the numbers in the same position (row and column) are added or subtracted. For example, if one matrix is [[1,2,3], [4,5,6], [7,8,9]] and the other matrix is [[2,4,6], [8,10,12], [14,16,18]], the resulting matrix would be [[3,6,9], [12,15,18], [21,24,27]].

Adding and subtracting matrices is a useful tool in mathematics and is often used to solve equations and simplify complex problems. It is important to remember that only matrices of the same size can be added or subtracted.

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The person will be 26.86 feet high after riding for 56 seconds.

Given that a Ferris wheel with radius 34 feet completes one revolution every 50 seconds, and Jeremy boards the

wheel on a platform 7 feet above the ground.

To find the height of the person after 56 seconds we use the formula;

h = r + r cos θ

Where;h = height, r = radius of Ferris wheel, θ = angle of Ferris wheel (in radians)

From the given information we can find the angle of Ferris wheel (in radians) by using;

ω = 2π/T

Where;ω = angular velocity, T = time period of one revolution.

Substituting the values,

ω = 2π/50

= π/25 rad/s

Now, using the angular velocity we can find the angle of the Ferris wheel (in radians) after 56 seconds by using;

θ = ωt

Where;t = time elapsed.

Substituting the values,

θ = π/25 × 56

= 8π/25 rad

h = r + r cos θ

Substituting the values,

r = 34 feet, cos(8π/25) = -0.2079 (using the calculator)

Substituting the values;

h = 34 + 34 × (-0.2079)= 26.86 feet

Therefore, the height of the person after riding for 56 seconds is approximately 26.86 feet (rounded off to two decimal places).

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Answer:

Since g(x+2)

the equation would become g(x-2) = (x+2)^2- (x+2)

Simplify

(x+2)^2 - (x+2)

(x+2)(x+2) - (x+2)

FOIL : (x^2 + 2x + 2x + 4) - (x+2) *dont forgot you need to distribute the negative in the next step*

x^2 + 4x + 4 - x - 2

Like terms : x^2 + 3x + 2

So g(x+2) = x^2 + 3x + 2

Answer:

g(x)=x^2

Step-by-step explanation:

g(x+2)=x^2+4x+4-(

x+2)

=x^2+5x+6

Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

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Answer:

x=28

y=20

Step-by-step explanation:

x+y=48

x=x

y=x-8 (y is the smaller number)

x+(x-8)=48

2x=56

x=28

(28)+y=48

y=20

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

Answer:

$250

Step-by-step explanation:

2x+3x+9x= $500

9x-2x= 7x=?

14x= $500

7x= $500/2= $250

In ΔKLM, that measure ∠M = 90°, ML = 8, LK = 17, and KM = 15. cosine of L is 0.88

The cosine of L is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The triangle described is a right triangle of

opposite = 8

adjacent = 15

hypotenuse = 17

The cosine of L is calculated using cos, CAH

let the angle be x

Cos x = adjacent / hypotenuse

cos x = 15 / 17

x = arc cos (15/17)

x = 28.07 degrees

cosine of L = 15/17 = 0.88

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The value 1.546 is outside the valid range of -1 to 1. Therefore, it cannot be a valid value for the correlation coefficient

�r.

Among the given choices, the number 1.546 could not be a value for

�

r, the correlation coefficient.

The correlation coefficient, denoted by

�

r, measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, inclusive.

When

�

=

−

1

r=−1, it indicates a perfect negative linear relationship, meaning the variables move in opposite directions.

When

�=0

r=0, it suggests no linear relationship between the variables.

When

�=1

r=1, it signifies a perfect positive linear relationship, where the variables move together in the same direction.

However, the value 1.546 is outside the valid range of -1 to 1. Therefore, it cannot be a valid value for the correlation coefficient

�r.

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Answer:

- 1 - 1.6n

Step-by-step explanation:

[Given]

5+3.2n−6−4.8n

[Reorder]

-> keep in mind the sign of positive/negative stays with the number

5 - 6 + 3.2n - 4.8n

[Combine like terms]

- 1 - 1.6n

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Use the change-of-base identity to rewrite the equation as

2 log(x³) / log(4x) = 5 log(x) / log(2x)

Multiply both sides by log(4x) log(2x), noting that this is only valid if x > 0 and neither x = 1/2 nor x = 1/4 :

2 log(x³) log(2x) = 5 log(x) log(4x)

Bring down the exponent in the first logarithm:

6 log(x) log(2x) = 5 log(x) log(4x)

Move everything to one side and factorize:

6 log(x) log(2x) - 5 log(x) log(4x) = 0

log(x) (6 log(2x) - 5 log(4x)) = 0

Then either

log(x) = 0   or   6 log(2x) - 5 log(4x) = 0

In the first equation, after taking the exponential of both sides, we get

exp(log(x)) = exp(0)   →   x = 1

In the second equation, we have

6 log(2x) = 5 log(4x)

Expand the logarithms into sums:

6 (log(2) + log(x)) = 5 (log(4) + log(x))

6 log(2) + 6 log(x) = 5 log(4) + 5 log(x)

Simplify:

log(x) = 5 log(4) - 6 log(2)

4 = 2², so

log(x) = 5 log(2²) - 6 log(2)

log(x) = 10 log(2) - 6 log(2)

log(x) = 4 log(2)

log(x) = log(2⁴)

log(x) = log(16)

Take the exponential of both sides to get

exp(log(x)) = exp(log(16))   →   x = 16

Answer:

x=1, x=16

Step-by-step explanation:

Out of the three parameters, x is an input parameter, while wholep and fracp are considered both input and output parameters.

In the function apart defined in question, there are three parameters: x, wholep, and fracp.

Among these parameters, x is considered an input parameter because it represents the input value that is passed into the function.

The parameters wholep and fracp can be considered both input and output parameters. They are passed by reference (using pointers) and can be modified within the function. The function updates the values of wholep and fracp based on the calculation, which means they can be considered as output values. However, they are also initially provided as input values when the function is called.

Therefore, out of the three parameters, x is an input parameter, while wholep and fracp are considered both input and output parameters.

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Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1

Answer:

$6000

Step-by-step explanation:

So, we know that

$1500 = 25%

We find 1% by taking

1500 divided by 25% = $60

We have to find the 75% off by taking

60 times 75 = $4500

Then we have to find the original price by taking

4500 + 1500 = $6000

So, the original price is $6000

Answer:

$6000

Step-by-step explanation:

The total cost is 100%

The discount was 75%

then:

100% - 75% = 25%

The percentage paid was:

25%

then:

$1500 ⇒ 25%

$A ⇒ 100%

A = 1500*100/25 = 6000

A = $6000

Answer: -1

Step-by-step explanation:

(2x(x+1)+2x(x-3))/(4x(x-3)(x+1)) = 2x/((x-3)(x+1))

(2x-2)/(2) = 2x

x-1 = 2x

-1 = x