A flowering plant stands 6.5 inches tall and is placed under a growing light. In this condition, it grows 0.25 inches per day. The plant currently stands 11.25 inches tall. After how many days will the plant be 2 feet tall?

Answer:

x=13

Step-by-step explanation:

The attached photo might help

Answer:

13 hours and 9 minutes

Step-by-step explanation:

Answer:

If I'm correct it should be 13 hr with an additional 9 min.

Step-by-step explanation:

To create a side view, you can use a straightedge to outline the object from a side perspective. If the object has congruent segments, you can measure the length of one segment and use the compass to mark off the same length on the straightedge to create the other segments.

For congruent angles, you can use the compass to mark off the same angle on the straightedge. If the object has parallel or perpendicular lines, you can use the straightedge to draw those lines accurately. If the object has special shapes such as equilateral triangles, squares, or regular hexagons, you can use the compass to draw those shapes.

To create a top view, you can use a straightedge to outline the object from a top perspective. If the object has congruent segments, you can measure the length of one segment and use the compass to mark off the same length on the straightedge to create the other segments.

For congruent angles, you can use the compass to mark off the same angle on the straightedge. If the object has parallel or perpendicular lines, you can use the straightedge to draw those lines accurately. If the object has special shapes such as equilateral triangles, squares, or regular hexagons, you can use the compass to draw those shapes.

To create a front view, you can use a straightedge to outline the object from a front perspective. If the object has congruent segments, you can measure the length of one segment and use the compass to mark off the same length on the straightedge to create the other segments.

For congruent angles, you can use the compass to mark off the same angle on the straightedge. If the object has parallel or perpendicular lines, you can use the straightedge to draw those lines accurately. If the object has special shapes such as equilateral triangles, squares, or regular hexagons, you can use the compass to draw those shapes.

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The question is asking for the probability of the chain failing under the given load. The strength of the links is independent of each other. We can use Bernoulli's trial to solve this problem.

Let's define the probability of any one link not failing under the given load as `p = 1 - q`. Here, q is the probability that any one link will fail under the given load.

The probability that all n links will not fail under the load can be calculated as `P(success) = p^n`. Here, we multiply the probability of success of one link by the probability of success of another link and so on until the nth link.

The probability of the chain failing is the complement of the probability that all the links will not fail. Hence, `P(failure) = 1 - P(success) = 1 - p^n`.

Therefore, the probability of the chain failing under the given load is `1 - p^n` or `1 - (1 - q)^n`.

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The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

okay wait lemme answer it first

The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

5*3*6 = 15*6 = 90

Step-by-step explanation:

We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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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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Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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On solving the provided question, we can can say that the mean of the following data is 424/16 = 26.5

Averages can only be calculated for numeric variables, regardless of whether the variables are continuous or discrete. Simply dividing the total number of values in the dataset by the sum of all the values in the dataset yields this result. Data that has been organized into frequency tables or raw data can both be used for calculations. In mathematics, the average is the average value obtained by adding up all the data points in a collection and dividing the sum by the number of data points. Consider the dataset below as an example

20+24+18+30 +21+24+34 +27+34 +35+19+26+38+31+20+23 = 424

Mean  =

20+24+18+30+21+24+34 +27 +34 +35+19+26+38+31+20+23 /16

424/16 = 26.5

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No, the sides of a triangle cannot have lengths 8, 16, and 18.

What is known as a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

This is because the length of any side of a triangle must be less than the sum of the other two sides and greater than the difference of the other two sides. This is called the triangle inequality theorem.

For a triangle with sides 8, 16, and 18, the side 8 is less than the sum of the other two sides 16+18=34, but greater than the difference of the other two sides 16-18=-2. Therefore, the sides of a triangle cannot have lengths 8, 16, and 18.

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Answer:

27+a

Step-by-step explanation:

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event, is an exponential probability distribution.

The probability density function or pdf of the exponential distribution is given by the formula

\($$f(x) = \begin{cases} \lambda e^{-\lambda x} & \text{for } x \ge 0 \ 0 & \text{otherwise} \end{cases}$$\)

where λ is the rate parameter and e is the natural logarithm base.

The pdf gives the probability distribution of a random variable x, which represents an exponential distribution.

The exponential distribution is a continuous probability distribution that simulates the interval between events with an average occurrence rate that is constant.

In this distribution, the likelihood that an event will occur in the future is independent of when that event occurred in the past

The time interval between customers joining a line, the interval between device failures, or the separation between two places in space are all frequently modeled using the exponential distribution.

The rate parameter, which denotes the average number of events per unit of time or space, is what defines the exponential distribution.

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The difference between the amount of paper within the waste stream before and after composting or recycling is 11.2%.

The waste stream is the entire life cycle of the garbage produced by people, from its source through to disposal, recovery, or recycling. Waste streams can be divided into two categories: material-related (such as paper, metals, plastics, and wood) and product-related (such as packaging).

Generally, paper (and paperboard) represent a big portion of the solid waste stream. In 2012, EPA noted that paper and paperboard products accounted for around 27% of all materials in the waste stream. To reduce the amount of the waste stream, the best thing you can do is to recycle and compost whenever possible.

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Answer: D. as a total number of family member increases the amount of money that the family spends on food increases

Step-by-step explanation:

i.e. independent variable acts like a cause to effect the dependent variable.

This can be seen only in Option D. as it is very obvious that increase in family member will increase the cost of food.

Hence, there is direct effect of number of people on food's cost.

Rest of options represents correlation but not causation .

Hence, the correction option is D.

Multiplication and division of rational expressions are similar to multiplication and division of rational numbers in that the rules governing the operations are the same.

When multiplying rational expressions, you multiply the numerators and denominators separately, just like you would with rational numbers. Similarly, when dividing rational expressions, you invert the second expression and multiply the first expression by the inverse, which is equivalent to dividing by a fraction. This process is analogous to dividing rational numbers.

In both cases, it is important to simplify the resulting expression to its simplest form by canceling out common factors. This is because simplification can help in evaluating the expression and may reveal patterns that can be used to further simplify the expression or make it more useful for a particular application.

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80, 7, and 2.87 are not irrational numbers.

What is an irrational number?

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, etc all are irrational.

Given numbers: 80, 7, 2.87, √59

80 = It is a rational number

7 = It is a rational number

2.87 = It is a rational number

√59 = It is an irrational number.

Hence, 80, 7, and 2.87 are not irrational numbers.

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To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

y = |x - 4|

Step-by-step explanation:

Because the x value is the only variable that changed, it means the graph has moved only horizontally. The only value you are adding to will be inside the absolute value, not outside (as that is vertical transformation)

If that is the case, the graph has only moved right from (1, 1) to (4, 1), and thus from the parent graph y = |x| you would derive y = |x - 4|.

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

1. cos(2π + θ) = cosθ

2. tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

explanation:

cot(2π + θ) = cotθ. The Trigonometric ratios of angle 2π - θ: Thinking of θ as an acute angle, 2π -θ ends in the 4th Quadrant where only cosine is positive. 2π -θ means going 1 full turn from A to A and then returning to the M' that means as much as θ.

Answer: cos(2π + θ) = cosθ, tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

Answer: 570 total calories

Step-by-step explanation:

450 calories in 50 grams of fat

120 calories in 30 grams of protein

120 + 450= 570

Answer:

B is the answer. It keeps going up by 3 every time.

Step-by-step explanation: