In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. Write an equation to model the breakdown of your sales between drinks and pastries.

Answer:

1.97 meters long

Step-by-step explanation:

divide meters by pieces

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The length of each piece is 1.97 meters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the wire = 7.88 meters

Number of wire cut into equal pieces = 4

The length of each equal piece.

= 7.88 ÷ 4

= 7.88/4

= 1.97 meters

Thus,

The length of each wire is 1.97 meters.

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The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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Answer:

1. Sometimes True.

2. Sometimes True.

3. Always True.

Explanation:

Given the statements;

1.

A percent of a number is smaller than the original number.

Sometimes True.

When the percentage is less than 100% it will be less than the number which makes the statement true, while when the percentage is greater than or equal 100% then the number will be greater than or equal to the original number which makes the statement false.

2.

It saves you more money to have a coupon for an amount of money off instead of a percent off.

Sometimes True.

It depends on the amount of money off and the percent off. Either of them could save more money.

3.

An improper fraction written as a percent will be greater than 100%.

Always True.

when an improper fraction is written as a percentage it will always be greater than 100%

To solve the given ODE (Ordinary Differential Equation) (y - sin(x))dx + dy = 0, we can use the method of separation of variables. The equation can be rewritten as dy + (sin(x) - y)dx = 0.

To separate the variables, we move all terms involving y to one side and all terms involving x to the other side:

dy - ydx = - (sin(x) - y)dx

Next, we divide both sides by (sin(x) - y) to isolate y:

dy / (sin(x) - y) = -dx

Now, we integrate both sides with respect to their respective variables:

∫ (1 / (sin(x) - y)) dy = - ∫ dx

Integrating the left side requires a substitution. Let u = sin(x) - y, then du = -dy: -∫ (1 / u) du = - ∫ dx

-ln|u| = -x + C1

Taking the absolute value of u and substituting back sin(x) - y for u, we have:

-ln|sin(x) - y| = -x + C1

Simplifying further, we can rewrite the equation as:

ln|sin(x) - y| = x + C2, where C2 = -C1

Finally, we can exponentiate both sides to eliminate the natural logarithm:

|sin(x) - y| = e^(x + C2)

The absolute value can be removed since e^(x + C2) is always positive. Therefore, the solution to the given ODE is:

sin(x) - y = Ce^x, where C = ±e^(C2)

This is the general solution to the ODE (y - sin(x))dx + dy = 0.

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The given function \(y=x^2 - 6x - 7\) describes the graph A.

What is function?

In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the codomain) with the property that each input is related to exactly one output.

We can solve this Function by substituting the 0 for Y.

To find the value of x when y is equal to 0, we can substitute 0 for y in the equation and solve for x:

\(0 = x^2 - 6x - 7\)

To solve for x, we can use the quadratic formula:

x = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / 2a

In this case, a = 1, b = -6, and c = -7. Substituting these values into the formula, we get:

x = (-(-6) ± \(\sqrt {((-6)^2 - 4(1)(-7)}\))) / 2(1)

Simplifying:

x = (6 ± \(\sqrt{64}\)) / 2

x = (6 ± 8) / 2

x = 7 or x = -1

Therefore, when y is equal to 0, x can be either 7 or -1.

Therefore the given function describes the graph A.

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The probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.

To find the probability that Aaron selects a terrier, given Rebecka selects a poodle, we need to use conditional probability.

First, we need to find the probability that Rebecka selects a poodle. Since there are four poodles out of seven puppies total, the probability that Rebecka selects a poodle is 4/7.

Next, we need to find the probability that Aaron selects a terrier, given that Rebecka has already selected a poodle. Now there are only three poodles and two terriers left in the store, so the probability that Aaron selects a terrier is 2/6 (or simplified, 1/3).

Putting it all together, we can use the formula for conditional probability:

P(Aaron selects a terrier | Rebecka selects a poodle) = P(Aaron selects a terrier and Rebecka selects a poodle) / P(Rebecka selects a poodle)

Since we know that Rebecka selects a poodle, the numerator is just the probability that Aaron selects a terrier given that there are three puppies left in the store. So:

P(Aaron selects a terrier and Rebecka selects a poodle) = (1/3) * (4/7) = 4/21

And we already calculated that P(Rebecka selects a poodle) = 4/7. So:

P(Aaron selects a terrier | Rebecka selects a poodle) = (4/21) / (4/7) = 1/3

Therefore, the probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.

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Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

(0,0) and (5,0)

Step-by-step explanation:

i dont know your choices

To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Exponential of 1 is equal to the number itself which means 1.

Exponent is usually described as the method of demonstrating large numbers in terms of powers. It means, exponent refers to the count, that how many times a number is multiplied to itself to calculate that exponent.

In accordance with the exponent rule, any number raised to power of 1 would always be equal to 1 that is because it doesn't matter how many times we multiply 1 to itself. It is going to yield 1. For example, multiplying 1 hundred times i.e. 1^100 also results in 1.

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Answer:

9 ounces

Step-by-step explanation:

He uses 3 ounces 3 different days. That is 3x3 which equals 9. Hope you get a 100! :)

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Answer:

length=80m

breadth=144m

hope it is helpful for you

Answer:

B

Step-by-step explanation:

a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.

b is a quadratic The highest power is 2 on the base (x)  to become x^2. That is how a quadratic is defined.

c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into  (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.

d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.

Answer:

"0.104"

hope this help(◕ᴗ◕✿)

Answer: It's obviously D

Step-by-step explanation:

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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7

v=5 and if there is an i on the right it pluses one

so 5+1+1=7

Noah has A total of 63 silver coins from the collection of 300

From the question, we have the following parameters that can be used in our computation:

Collection = 300 coins

Proportion of silver coin = 21%

This means that:

The amount of silver coin she has is:

Amount of silver coin she has = Proportion of silver coin x Collection

Substitute the known values in the above equation, so, we have the following representation

Amount of silver coin she has = 21% * 300

Evaluate

Amount of silver coin she has = 63

Hence, the amount is 63

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The graph of the function is attached below:

The asymptote of the function is:

(-3 log(-x-4)/log2)-8  →∞ as x→ -4

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. The sets X and Y are referred to together as the function's codomain and domain, respectively.

Al-Biruni and Sharaf al-Din al-Tusi were two Persian mathematicians who are credited with developing the earliest known approach to the concept of function. The basic conception of functions was the relationship between fluctuating quantities and other variables. An illustration of this is how time affects a planet's position. The idea was developed historically with the infinitesimal calculus towards the end of the 17th century, and until the 19th century, the functions that were taken into consideration were differentiable.

Given function is,

f(x)= -3 log₂ (-x-4) - 8

The graph of the function is attached below:

The asymptote of the function is:

(-3 log(-x-4)/log2)-8  →∞ as x→ -4

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Answer:

Of the given options, "an engine" is the most reasonable abstraction for a car.

An engine is a fundamental component of a car that powers its movement, and it is present in almost all cars. The number of miles driven and the driving car color are characteristics of a specific car rather than abstractions of a car itself. For example, a car can still be considered a car even if it has not been driven any miles yet or if it has no color at all.

Therefore, an engine is a more reasonable abstraction for a car as it captures an essential feature of a car that is present in all cars.

The solution is, D. Driving, a reasonable abstraction for a car includes. Driving is an action or behavior associated with a car, as it involves operating or using the car to travel from one place to another. It is an essential aspect of the car's purpose and function.

Here, we have,

we know that,

An engine is a machine designed to convert fuel into mechanical energy that can be used to power other machines or devices. In the context of automobiles, an engine is the primary source of power that drives the vehicle. It typically operates by burning fuel in a combustion chamber to generate high-pressure gases that drive a piston, which in turn rotates a crankshaft that ultimately powers the car's wheels.

Car color and number of miles driven are characteristics or properties of a car, while an engine is a component that helps to power the car. Driving, on the other hand, is an action or behavior associated with a car, as it refers to the act of operating or using the car to travel from one place to another.

Therefore, driving is a reasonable abstraction for a car, as it captures an essential aspect of the car's purpose and function.

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Answer:

Yo whats up

Step-by-step explanation:

...

Answer:

OK but you get specific answers here and you can't always find the exact thing you're looking for on google

Step-by-step explanation:

Answer:

Explanation:

Quotient rule in differentiation

The graph of the function y = x²+ 6x + 7 is given in the attachment.

To graph the quadratic function y = x²+ 6x + 7:

Find the vertex using the formula -b/(2a), where a is the coefficient of x²and b is the coefficient of x.

The vertex will be at (-3, -2).

Plot the vertex (-3, -2) on the graph.

Choose additional x-values and calculate the corresponding y-values by substituting them into the equation.

Plot these points on the graph.

Connect the plotted points smoothly to form a U-shaped curve, which represents the parabola.

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In the function call, the argument tax_percentage is assigned the value of 0.07.

In the function call split_check(60.52, 5, .07, tip_percentage=0.18), the value passed as the tax_percentage argument is 0.07.

The function split_check is being called with the following arguments:

60.52 as the amount of the check

5 as the number of people to split the check among

0.07 as the tax percentage

0.18 as the tip percentage (provided as a keyword argument tip_percentage=0.18)

Therefore, the value 0.07 is passed as the tax_percentage argument in the function call.

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100/299 elephants is equal to 10 gorillas

Given that 23 gorillas = 4 horses, hence:

1 gorilla = (4/23) horses

The amount of horses that is equal to 10 gorillas is:

10 gorillas = (4/23) horses × 10 = (40/23) horses

Also, 5 farmers = 2 horses, hence:

1 horse = (5/2) farmer

The amount of farmers that is equal to (40/23) horses is:

(40/23) horses = (5/2) farmer × (40/23) = 100/23 farmers

Also, 1 elephant= 13 farmers. Hence:

1 farmer = (1/13) elephant

The amount of elephant that is equal to (100/23) farmers is:

(100/23) farmers = (1/13) elephant × (100/23) = 100/299 elephants

Hence 100/299 elephants is equal to 10 gorillas

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Answer:

150,000

Step-by-step explanation:

Hope this helps!!