The pawpaw shown has the same mass as the total mass of 8 mangoes of the same size. An orange has 2/5 the mass of a mango. What is the mass, in kilograms, of 3 mangoes and 5 oranges together?​

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

(9x9+17x9+17x9)

=387

=2x387=774

A=774

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Answer:

y = |x + 8|

Explanation:

Please see the table attached below.

Answer:y=|x+8|

Step-by-step explanation:

Answer:

8 · (32 · x^5 / 9 x^3 y^4)

Answer:

yes

Step-by-step explanation:

First we should find a GCF for the number of boys and girls.

The gcf for the two would be 4.

Divide.

20/4 = 5

28/4= 7

therefore the ratio for boys to girls would be 5 to 7

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

In this case, the probability is given by the following expression:

Probability = number of pink marbles / total number of marbles

There are 3 pink marbles out of 14 marbles, then we get:

Probability = 3/14

Then, the probability of getting a pink marble is 3/14

To solve the inequality \(x^2\) - 4 ≥ 0, we can factor the left side:

\(x^2\) - 4 = (x - 2)(x + 2) ≥ 0

Now, we can analyze the sign of the expression (x - 2)(x + 2) to determine the solution set.

When x < -2, both factors are negative, so the product is positive.

When -2 < x < 2, the factor (x - 2) is negative, and the factor (x + 2) is positive, so the product is negative.

When x > 2, both factors are positive, so the product is positive.

Therefore, the solution set for \(x^2\) - 4 ≥ 0 is (-∞, -2] ∪ [2, ∞).

(B) To solve the inequality 2/x - 1 ≤ -1, we can manipulate the inequality:

2/x - 1 + 1 ≤ -1 + 1

2/x ≤ 0

2 ≤ 0 * x

Since 2 is a positive number and x can be any real number except 0 (since division by zero is undefined), the inequality is satisfied for all x except x = 0.

ThErefore, the solution set for 2/x - 1 ≤ -1 is (-∞, 0) ∪ (0, ∞).

(a) To solve the equation \(2^_(1+x)\) = \(3^_(x+2)\), we can take the logarithm of both sides using the same base:

\(log2(2^_(1+x)) = log2(3^_(x+2))\)

Simplifying the left side using the exponent rule, we have:

(1+x) log2(2) = (x+2) log2(3)

Since log2(2) = 1, the equation becomes:

1 + x = (x+2) log2(3)

Expanding the right side:

1 + x = x log2(3) + 2 log2(3)

Subtracting x and the constant terms from both sides:

1 - 2 log2(3) = x (log2(3) - 1)

Dividing both sides by (log2(3) - 1):

x = (1 - 2 log2(3)) / (log2(3) - 1)

This is the solution for the equation (a).

(b) To solve the equation log5(2x) + log5(6) = log5(4x) - log3(x), we can combine the logarithms using the logarithmic rules:

log5(2x * 6) = log5((4x)/x)

Simplifying:

log5(12x) = log5(4)

Since the logarithms have the same base, the arguments must be equal:

12x = 4

Solving for x:

x = 4/12

x = 1/3

This is the solution for the equation (b).

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Answer:

Pythagorean Theorem :))

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

c=\(\sqrt{5^2+15^2}\)

c=\(5\sqrt{10}\)

c≈15.81

Answer:

D

Step-by-step explanation:

Pythagorean Theorem equation:

\(a^{2} + b^{2} = c^{2}\)  

a and b are the sides and c is the hypothenuse

\(a^{2} + b^{2} = c^{2}\)  

\(15^{2} + 5^{2} = c^{2}\)

225 + 25 = \(c^{2}\)

250 = \(c^{2}\)

√250 = √\(c^{2}\)

15.8 = c

Answer:

\(\sqrt[7]{(-4)^{2} }\)

Step-by-step explanation:

If a function f is differentiable at a point a and f(a) is not equal to zero, then the absolute value function |f| is also differentiable at that point.

The proof involves considering two cases based on the sign of f(a) and showing that the limit of the difference quotient exists for |f| at point a in both cases. However, it is important to note that |f| is not differentiable at the point where f(a) equals zero.

To prove that if f is differentiable at a, then |f| is also differentiable at a, provided that f(a) ≠ 0, we need to show that the limit of the difference quotient exists for |f| at point a.

Let's consider the function g(x) = |x|. The absolute value function is defined as follows:

g(x) = {

x if x ≥ 0,

-x if x < 0.

Since f(a) ≠ 0, we can conclude that f(a) is either positive or negative. Let's consider two cases:

Case 1: f(a) > 0

In this case, we have g(f(a)) = f(a). Since f is differentiable at a, the limit of the difference quotient exists for f at point a:

lim (x→a) [(f(x) - f(a)) / (x - a)] = f'(a).

Taking the absolute value of both sides, we have:

lim (x→a) |(f(x) - f(a)) / (x - a)| = |f'(a)|.

Since |g(f(x)) - g(f(a))| / |x - a| = |(f(x) - f(a)) / (x - a)| for f(a) > 0, the limit on the left-hand side is equal to the limit on the right-hand side, which means |f| is differentiable at a when f(a) > 0.

Case 2: f(a) < 0

In this case, we have g(f(a)) = -f(a). Similarly, we can use the same reasoning as in Case 1 and conclude that |f| is differentiable at a when f(a) < 0.

Since we have covered both cases, we can conclude that if f is differentiable at a and f(a) ≠ 0, then |f| is also differentiable at a.

Note: It's worth mentioning that at the point where f(a) = 0, |f| is not differentiable. The proof above is valid when f(a) ≠ 0.

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Jorge will receive 9 hours in time off from work.

How many hours will Jorge get to take time off?

It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.

Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.

As a result, the time off he receives from work = \(1\frac{1}{2} (6)\) hours

\(=\frac{3}{2}(6) = 9 hours\)

Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.

What is Fair Labor Standards Act?

The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.

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Answer:

It is between A and D, all the problem is about predictions and how this predictions are tricked.

Step-by-step explanation: Just make some draws of the number and colors of the marbles, and add the white marbles to the red ones, there is 6 of them, they take out of the bag two, so there are still being four, a hundred is all a number (?) so divided 100 % in 4/ there is 25, is D just take D. Sorry man im tired.

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.

According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.

Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.

However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.

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Answer:

l

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

a3 means the third in the sequence

a1= -4

a2= -3

a3= -1/2

a4= -1/4

hope this helps!

Answer:

It depends

Step-by-step explanation:

Based on the given info it depends on how much the recipe calls for.  32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints.  I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)

Answer:7

Step-by-step explanation:

The solution for the formula υ² = υ₀² + 2a(x - x₀) is x = (υ² - υ₀² + 2ax₀) / 2a

Given,

The formula ; υ² = υ₀² + 2a(x - x₀)

We have to solve this formula for getting the value of x.

That is,

υ² = υ₀² + 2a(x - x₀)

Then,

υ² = υ₀² + 2ax - 2ax₀

Here,

υ² - υ₀² = 2ax - 2ax₀

So,

υ² - υ₀² + 2ax₀ = 2ax

Therefore,

x = (υ² - υ₀² + 2ax₀) / 2a

That is,

The solution for the formula υ² = υ₀² + 2a(x - x₀) is x = (υ² - υ₀² + 2ax₀) / 2a

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The slope can be described as the rise (change on y-axis) of a function over the run (change on x-axis).

When the change in the rise is negative and the change in the run is positive, we obtain the following:

We can see this in the first function image:

This slope is negative then.

In the second function, the rise is 0 (no change in the y-axis) and the run is positive. Then:

This slope is zero.

In the third function, the rise is positive and the run is zero (no change in the x-axis), then the slope is given by:

This slope is undefined.

In the last function, the rise increases and the run increases, then the slope is positive.

Answer:

50 g = 95mm

60 g = 98 mm

0 g = 98/60 = 1.63 mm Step-by-step                                                      explanation:hope this help y'all

Answer:

19 orders of tea

57 orders of collee

Step-by-step explanation:

find 1/4 of the 76

76/4=19

multiply by 3

19x3=57

The three-number integer that Samya is thinking of include 562, 566, 571, 575, 577, and 586.

From the information, it is not a multiple of four, it is greater then 560 but less than 590.

In this case, the numbers will be between 561 to 589. It should be noted that 576 is a perfect square.

Also, 568, 580 are divisible by 4.

In this case, 562, 566, 571, 575, 577, and 586 are the numbers.

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i think it is 326.7 but i really not sure

Step-by-step explanation:

The solution is step by step..

Check it out

The minimum sample size needed to estimate the proportion of U.S. adults supporting the proposed amendment with a 95% c

To determine the sample size needed for estimating the proportion of U.S. adults supporting the proposed amendment to the constitution with a confidence level of 95% and a margin of error of 4%, we can use the formula:

n = (Z^2 * p * (1 - p)) / (E^2)

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = estimated proportion (since we don't have an estimate, we can assume p = 0.5, which provides the maximum sample size required)

E = margin of error (0.04 in this case)

Plugging in the values, we get:

n = (1.96^2 * 0.5 * (1 - 0.5)) / (0.04^2)

n = 600.25 / 0.0016

n ≈ 37515.625

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer:

76

Step-by-step explanation:

The given data is 64, 72, 85, 80, 72, 89.

First we arrange it in ascending order.

64,72,72,80,85,89

The middle two terms are 72 and 80.

There are 6 no of observations.

The median when n is even is given by :

\(M=\dfrac{72+80}{2}\\\\=76\)

So, the median of given data is 76.

Answer:  \(-\frac{1}{2}\)

Step-by-step explanation:

\(y -3 = -\frac{1}{2}(x-2)\)

Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

\(y-3=-\frac{1}{2}x + 1\)

     \(y = -\frac{1}{2}x+4\)

Therefore, the slope is \(-\frac{1}{2}\).