If the time right now is 2:00 p.m., what meal might you be eating in 100 hours?

Answer:

250°

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

I did it

Answer:

Step-by-step explanation:

Find the area of the warehouse:

Find the rental charge:

Area

Rental cost

Answer: \(5x^{2} +6x\)\(-4\)

Step-by-step explanation:

Synthetic division

What is Symmetry ?

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.

A definition of symmetry in mathematics states that whether one shape is moved, rotated, or flipped, it exactly resembles the other shape. Just fold the paper, draw one-half of the heart at the fold, then cut it out to discover that the other half exactly matches the first half when you are instructed to cut out a "heart" from a piece of paper. The heart-shaped carving is an illustration of symmetry. Symmetry is defined in mathematics as "a mirror image." Symmetry is the property of an image that remains unchanged after a shape has been rotated or flipped. There are patterns in it. You may have heard the word "symmetry" quite a bit in modern times.

(A)

Any two indices will do i!=j Paul's time and the time of the ith runner are equally distributed and independent, hence according to the Symmetry, p (Ai) = p(Aj)= 1/2. Consider the intersection of Ai and Aj. Thus, Paul is outpaced by both runners I and j. There are 6 possible permutations of their times because they are i.id, with Paul being the slowest. P(Ai intersection Aj) hence equals 1/3.

But now wе have that P(Ai intersection Aj)= 1/3 != 1/4 = P(Ai)P(Aj)

thus, events They are not autonomous, Ai and Aj. However, they are only somewhat independent given Paul's timing. Paul can be removed from the narrative if such is the case. Then, only these two runners are left. Events As a result of their independent and equal distribution of times, Aj and AI are independent.

(B)

Define Ij as the random variable indication that indicates whether or not the jth runner is superior to Paul. via means of symmetry. We know p(Ij = 1)=1/2.

We determine that 

E(N) = E(I1+I2 +.......In) 

= nE(i1) 

=nP(I1-1) 

=n/2

using the linearity of expectation.

(C)

Paul's estimated time of completion is t The probability that each runner will finish ahead of Paul is P (time of rumer I t) = F. (t)

By using part (a), we can determine that other runners' times are independent of Paull's time, and that the number of runners who finish faster than Paul has a binomial distribution with the parameters n and F. To come to the conclusion that N/T= t Binom (n, F(t)) and if we choose T at random, N/T Binom (n, F(T)),

(D)

Let's figure out Var (N)

Var (N)=F(Var (N/T)) + Var(E(N/T))

= E(n F(T) (1- F(T)) + Var(on F(T))

according to Eve's Law.

Here, we can use the uniform distribution's universality to produce

F(T) ~Unif (0, 1) = U

Hence symmetry, which states that U I-U, leads to

Var(N) = nE(U2) + n2 var (U)

=n/3 + n2/12,

where E(U2)=1/3

Var(U)=1/12.

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To evaluate the iterated integral ∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx using polar coordinates, we make the following substitutions:

x = r cosθ

y = r sinθ

The limits of integration for x and y need to be expressed in terms of r and θ.

For the limits of x:

When y = 0, we have x = √(4 - x^2) and solving for x, we get x = 2.

When y = √(4 - x^2), we have x = 0.

So, the limits for x in polar coordinates are θ = 0 to θ = π.

For the limits of y:

The region of integration lies within the circle of radius 2 centered at the origin. So, the limits for y in polar coordinates are r = 0 to r = 2.

Now, we need to express the differential element dy dx in terms of polar coordinates.

dy dx = |Jacobian| dr dθ

where |Jacobian| is the determinant of the Jacobian matrix.

The Jacobian matrix is given by:

[∂y/∂r ∂y/∂θ]

[∂x/∂r ∂x/∂θ]

Calculating the partial derivatives:

∂y/∂r = sinθ

∂y/∂θ = r cosθ

∂x/∂r = cosθ

∂x/∂θ = -r sinθ

Taking the determinant of the Jacobian matrix, we have:

|Jacobian| = (∂y/∂r)(∂x/∂θ) - (∂y/∂θ)(∂x/∂r) = (sinθ)(-r sinθ) - (r cosθ)(cosθ) = -r

Now, we can rewrite the integral in polar coordinates:

∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx

= ∫[0, π] ∫[0, 2] r sin(r^2) |Jacobian| dr dθ

= ∫[0, π] ∫[0, 2] -r^2 sin(r^2) dr dθ

Integrating with respect to r first:

∫[-r^2 sin(r^2)] [0, 2] dr = [-cos(r^2)] [0, 2] = -cos(4) + 1

Now, we can integrate the result with respect to θ:

∫[-cos(4) + 1] [0, π] dθ = [θ - cos(4)θ] [0, π] = π - πcos(4)

Therefore, the value of the iterated integral ∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx in polar coordinates is π - πcos(4).

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Her salary is higher compared to 82% of the recent college graduates. Hence, Li should be pleased with her salary.

Percentiles are values that help determine the location of a score in a dataset. In statistics, a percentile is a measure that divides a dataset into 100 equal parts. As a result, the percentile is the percent of observations that are below or equal to a given value.

For example, a percentile of 90 indicates that 90 percent of the data is below or equal to the observed data point.Li's salary is in the 82th percentile, meaning that 82% of people who graduated from college recently earn less than Li does. Therefore, her salary is higher compared to 82% of the recent college graduates. Hence, Li should be pleased with her salary.

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The payback period of the project is 2 years.

The payback period is a financial metric used to evaluate the time it takes for an investment to recoup its initial cost. It measures the length of time required for the cash inflows from the investment to equal or surpass the initial investment amount. In this case, the initial investment is $35,000, and the cash flows are $10,000 in year 1, $20,000 in year 2, and $10,000 in year 3. To calculate the payback period, we need to determine in which year the cumulative cash inflows will equal or exceed the initial investment.

By adding the cash flows year by year, we can see that at the end of year 1, the cumulative cash inflow is $10,000. By the end of year 2, the cumulative cash inflow becomes $30,000 ($10,000 from year 1 + $20,000 from year 2). Finally, at the end of year 3, the cumulative cash inflow reaches $40,000 ($10,000 from year 3).

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Answer:

b. x less-than StartFraction 10 Over 3 End fraction

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

Given that, 5x-1<2x+11.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here, inequality 5x-1<2x+11 can be solved as follows

Add 1 on both the sides of inequality, we get

5x<2x+12

Subtract 2x on both the sides of inequality, we get

3x<12

Divide 3 on both the sides of inequality, we get

x<4

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

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The slope of the line can be calculated as  \(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\).

Correct options are (A) and (D).

What is the slope of the line?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

As the definition of the slope says that it is the ratio of rise by run.

so we can make the formula as

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

Hence, the slope of the line can be calculated as  \(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\).

for example lets have two points (9,1) and (8,4) so the value of the slope can be calculated as

4-1 / 8-9

3/-1

= -3

Therefore, the slope of the line passing through the given points is -3

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Answer:

There are two big game mats for terik to play bean bag toss. One is a equilateral triangle that has a side length of 3x-1 feet. The other  one is a square with the side length of x+3 feet. The mats have the same perimeter.

Step-by-step explanation:

The slope of the line passing through (4, 4) and (0, -2) is 1.5

An equation is an expression that shows how numbers and variables are related to each other using mathematical operations.

The slope of a straight line is the ratio of its rise to its run. It is given by:

Slope = Rise / Run

Hence, for the line shown passing through (4, 4) and (0, -2):

Slope = (-2 - 4) / (0 - 4) = 1.5

The slope of the line is 1.5

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The distance between the two campsites which are campus F and campus G would be = 42.3. That is option C.

The distance between the two campsites is being illustrated with the aid of two similar triangles.

The scale factor of the triangle;

= dimensions of the new triangle/ dimensions of the actual triangle.

= 92/82.8

= 1.111111111

The distance between the two campsites = 47/1.111111111

= 42.3.

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The AGI and taxable income is $23,670 and $11,270

How to calculate AGI(Adjusted gross income) ?

The AGI calculation can be done as,

We have given that,

Gross income = $23670

1 Exemption = $12400

Adjustment = 0

Deduction = 0

Find AGI and Taxable income

AGI = Adjusted gross income

we know,

AGI = Total income - Any deduction or any adjustment  

AGI = ($23,670 + $12400)  - (0 + 0)

AGI = $36070

Now, Calculate taxable income

Taxable income = Gross income - 1 Exemption

                           = $23670 - $12400

                           = $11,270

Hence, the AGI and taxable income is $36,070 and $11,270

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Answer: D is the answer

Step-by-step explanation:

$23,670 and $11,270

Answer:

17 feet

Step-by-step explanation:

We have to use the pythagorean theorem, this is actually a bit more complicated than it seems at a first glance.

If Tony is 8 feet to Lexi's right, then we can form a triangle as such

I can't paste it (sorry)

but we can use the formula a^2+b^2=c^2, so 15^2=225, and 8^2=64, and 225+64=289, and \(\sqrt289=17\)

so they're 17 feet apart!

Answer: The last one. It has a proportional relationship of -4.

Step-by-step explanation:

The correct value of the expression is 36.

An expression is combination of variables, numbers and operators.

Given that Humberto evaluates the expression 4t² for t = 3.

He correctly substitutes 3 for t in the expression, but then says that the value is 144.

Humberto solution has an error the correct answer should be 36.

Humberto first multiplied 4 by 3 to get 12, then he multiplied 12 by itself to get 144.He should have first multiplied 12 by itself then he should multiplied the result 9 by 4.

The correct value of the expression is 36.

Hence, the correct value of the expression is 36.

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Answer:

Anong grade lalaki or babae

Literally, binomial probability represents an experiment which has two possible outcomes.

The values of the parameters​ n, p, and x are 25, 50% and 16 respectively

The representations in binomial probability are:

From the complete question, we have:

The above highlights mean that:

\(\mathbf{n = 25}\)

\(\mathbf{x = 16}\)

\(\mathbf{p =50\%}\)

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The critical angle for light going from the air (n = 1.0) into the glass (n = 1.5) is 41.8 degrees.

When light travels from one medium to another, it changes its direction due to the change in the refractive index of the medium. The angle at which the light is refracted is determined by Snell's law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant for a given pair of media. At a certain angle of incidence, known as the critical angle, the refracted angle becomes 90 degrees, and the light is no longer refracted but reflected into the first medium.

This critical angle can be calculated using the formula sinθc = n2/n1, where θc is the critical angle, n1 is the refractive index of the first medium (in this case, air), and n2 is the refractive index of the second medium (in this case, glass).

In this case, substituting the values n1 = 1.0 and n2 = 1.5 into the formula, we get sin θc = 1.5/1.0 = 1.5. However, since the sine of any angle cannot be greater than 1, there is no critical angle for light going from glass to air. Thus, the critical angle for light going from air to glass is given by sin θc = 1/n2/n1 = 1/1.5/1.0 = 0.6667, and taking the inverse sine of this value gives us the critical angle of 41.8 degrees.

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The largest reservoir of nitrogen on Earth is the atmosphere. Nitrogen gas (N2) makes up about 78% of Earth's atmosphere, making it the dominant component.

However, certain bacteria and other microorganisms can convert atmospheric nitrogen into a biologically usable form through a process called nitrogen fixation. This converted nitrogen can then enter the biosphere through various pathways, including through the soil, plants, and animals, and eventually returns to the atmosphere through processes such as denitrification and combustion. Nonetheless, the atmospheric reservoir remains the largest pool of nitrogen on Earth.

Nitrogen in the atmosphere is an essential element for life and plays a crucial role in various biological processes. However, the nitrogen present in the atmosphere cannot be directly utilized by most organisms. Instead, it must be converted into a usable form, such as ammonium (NH4+) or nitrate (NO3-).

This conversion primarily occurs through nitrogen fixation, carried out by specialized bacteria. These bacteria can be free-living or form symbiotic relationships with plants, such as legumes, where they reside in nodules on the plant roots. These bacteria convert atmospheric nitrogen into ammonium, which can then be taken up by plants and used to synthesize proteins and other essential molecules.

Through the food chain, nitrogen is passed on to animals and eventually returned to the soil through waste products and decomposition. Some of this nitrogen is released back into the atmosphere through denitrification, while the rest remains in the biosphere, forming smaller reservoirs compared to the atmospheric pool.

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Answer:

1. Take the number after the rise and divide it by 1.02.

2. 52/1.3

3. 135 *1.1

4. 37.40*1.45

Step-by-step explanation:

Answer:

82.75 = 3.25r + 7.75

Step-by-step explanation:

$82.75 is the total money spent last month

$7.75 is the cost of a refillable mug

$3.25 is the cost for every refill

Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

8,99,999 in international system:-

899,999= Eight hundred ninety-nine thousand nine hundred ninety-nine

There are 4 terms in the simplified equation making it a quadrinomial

The result is Quadrinomial cubic

Start by simplifying the polynomial using the FOIL method:

Multiply one by one:

First multiply the term:

\((2a-5)(a^2-1)=(2a)(a^2-1) -5(a^2-1)\)

And, split out the terms, we get

\((2a-5)(a^2-1)=(2a)(a^2)+(2a)(-1)+(-5)(a^2)+(-5)(-2)\\\\(2a-5)(a^2-1)=2a^3-2a-5a^2+5\)

Now, the degree is equivalent to the highest exponent in the polynomial. So, the degree for this polynomial is 3 meaning its a cubic.

There are 4 terms in the simplified equation making it a quadrinomial

Hence, The result is Quadrinomial cubic .

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Answer:

177.2 i think

Step-by-step explanation:

Answer:

20 is.the net force act in object