f(x)=[[x]]. What is f(0.35)

Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

Answer:

D.

Step-by-step explanation:

Answer:

w = 2.4

Step-by-step explanation:

The value of  integral sin (x^2+y^2)dA is 2π(cos(9) - cos(64)).

To evaluate this integral using polar coordinates, we first need to express the region R in terms of polar coordinates. In polar coordinates, the equation of a circle with radius r is given by r^2 = x^2 + y^2. So, the region R can be expressed as 3 < or = r < or = 8.

Now, we can express the integral in polar coordinates:

∫∫R sin (x^2+y^2)dA = ∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

We integrate first with respect to r, then with respect to θ:

∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

= ∫θ=0 to 2π [-cos(64) + cos(9)] dθ

= 2π(cos(9) - cos(64))

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(a) Both particles have the same value of k_B T.

(b) The smaller particle has a greater value of γ.

(c) The smaller particle has a greater value of D.

a) To show γD = k_B T, we start with the given relations:

⟨v0,x^2⟩ = (Δt/L)^2

γ = Δt/(2m)

D = (2Δt)/(L^2)

Substituting the expression for γ into the equation for D:

D = (2Δt)/(L^2) = (2Δt)/(L^2) * Δt/(2m) = (Δt^2)/(mL^2) = γ^2/m

Now, multiplying γ and D:

γD = γ * D = γ^2/m = (Δt/(2m))^2/m = Δt^2/(4m^2) = (1/4m) * (Δt^2/m) = (1/4m) * γ = (1/4m) * (Δt/(2m)) = (k_B T)/(4m)

Since k_B T is the average kinetic energy per degree of freedom and (1/4m) is the average kinetic energy per particle, we can equate γD and k_B T:

γD = k_B T

b) The dependence of γD on m is 1/m. As we can see from the equation γD = (k_B T)/(4m), as the mass (m) increases, the value of γD decreases.

c) When comparing two spherical particles in the same solution:

Greater value of k_B T: Both particles will have the same value of k_B T since it depends on temperature (T) and is independent of the size or mass of the particles.

Greater value of γ: The smaller particle will have a greater value of γ. As γ = Δt/(2m), since the mass of the smaller particle is smaller, the value of γ will be greater.

Greater value of D: The smaller particle will have a greater value of D. As D = (2Δt)/(L^2), since the time between collisions (Δt) will be smaller for the smaller particle due to its faster movement, the value of D will be greater.

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Answer:

7·35=245

Step-by-step explanation:

If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.

If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.

The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.

any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.

any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

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Step-by-step explanation:

(a) subsets are {apple}, { }

(b) subsets are {1}, {2}, {1,2}, { }

proper subsets are {1}, {2}

(c) subsets are

{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }

proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}

(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }

proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}

Answer:

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

\(c = \sqrt{41}\)

Step-by-step explanation:

\(a^2 + b^2 = c^2\\4^2 + 5^2 = c^2\\16 + 25 = c^2\\c^2 = 41\\c = \sqrt{41}\)

Good luck!

Answer:

It would take 30 min (half an hour)

Step-by-step explanation:

15 is half of 30 and if the bus is going 30mph it would take half the time

Answer:

30 minutes.

Step-by-step explanation:

30 mph = 1 hour

so

30/2 = 15

We convert the hour to minutes

1 hour = 60 minutes

Now we do the same thing we did we the mph to the minutes, we divide it by 2.

60/2 = 30.

So, 30 is equal to 15 mph.

Answer:

you multiply im pretty sure

Step-by-step explanation:

Employers can use your credit report for the purpose of getting information. Then the correct option is B.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Employers can access your credit score or report. However, depending on the state you live in, it may be able to pull a credit score, or at least a modified version. The pulled score by your employer likely will not include your number or date of birth, but it does not pose a security risk for you.

a. Friends - They can not use your credit report.

b. Employers - They can use your credit report.

c. Neighbors - They can not use your credit report.

d. Teachers - They can not use your credit report.

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Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

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Answer:

-1

Step-by-step explanation:

We can plug in -3 for x and solve:

f(-3) = -3 + 2

= -1

the equation for g(x) is g(x) = (x - 3)² - 6.

The function g(x) can be obtained by applying a horizontal and vertical shift to the graph of f(x) = x². The horizontal shift of three units to the right can be achieved by replacing x in f(x) with (x - 3), which moves the graph to the right. The vertical shift of six units down is accomplished by subtracting 6 from f(x).

Therefore, the equation for g(x) is g(x) = (x - 3)² - 6. This equation represents a parabola that has the same shape as f(x) = x² but is shifted three units to the right and six units down in the coordinate plane.

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Answer:  \(x^{2}+12x+35\)

Step-by-step explanation:

In order to find the entire area of the rectangle, you have to first find the values of each quadrant, then you add the values together to find the answer. The top left quadrant is x times x, which is \(x^{2}\). The top right value is x times 7, which is 7x. the bottom left value is x times 5, which is 5x, and the bottom right value is 7 times 5, which is 35. Put all the answers together and you get \(x^2+5x+7x+35\), which simplifies to \(x^{2}+12x+35\)

Answer:

x=-7

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

5+3x-37=6x+23-8x

add like terms

-32+3x=-2x+23

add 2x to both sides

-32+3x+2x=23

add 32 to both sides

3x+2x=23+32

add like terms

5x=55

divide by 5 on both sides

x=11

Answer:

x = 4 , ∠ A = 65° , ∠ B = 88° , ∠ C = 23°

Step-by-step explanation:

∠ A + ∠ C = 88 , substitute values for A and C

5x + 3 + 15x + 5 = 88

20x + 8 = 88 ( subtract 8 from both sides )

20x = 80 ( divide both sides by 20 )

x = 4

Then

∠ A = 15x + 5 = 15(4) + 5 = 60 + 5 = 65°

∠ A + ∠ C = 88° , that is

65° + ∠ C = 88° ( subtract 65° from both sides )

∠ C = 23°

∠ B = ∠ A + ∠ C ( vertically opposite angles )

∠ B = 88°

Yes, the given pair of triangles are congruent by ASA rule.

In geometry, two triangles are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given are two triangles, labelling by names, (refer to the image attached)

Considering the triangles, Δ ABC and Δ DEC,

We have,

AC = DC [given]

∠ A = ∠ D [both are congruent]

∠ ACB = ∠ DCE [vertically opposite angles]

∴ Δ ABC ≅ Δ DEC

By ASA rule.

Hence, we can say, the given pair of triangles are congruent by ASA rule.

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The fish population will be the same as on January 1, 2002 on January 1, 2017 and all the fish in the lake will have died by 2019

The function is given as:

F(t) = 1000(30 + 15t - t^2)

Start by calculating F(0) --- population in 2002

So, we have:

F(0) = 1000(30 + 15(0) - 0^2)

F(0) = 30000

Substitute 30000 for F(t) in F(t) = 1000(30 + 15t - t^2)

1000(30 + 15t - t^2) = 30000

Divide by 1000

30 + 15t - t^2 = 30

Simplify

t^2 - 15t = 0

Divide through by t

t - 15 = 0

Solve

t = 15

This means that

Year = 2002 + 15

Year = 2017

Hence, the fish population will be the same as on January 1, 2002 on January 1, 2017

This means  that F(t)= 0

So, we have:

1000(30 + 15t - t^2) = 0

Divide by 1000

30 + 15t - t^2 = 0

Rewrite as

t^2 - 15t - 30 = 0

Using a graphing calculator, we have

t = 17 (approximated)

This means that

Year = 2002 + 17

Year = 2019

Hence, all the fish in the lake will have died by 2019

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Using statistics helps us make decisions based on empirical evidence, which is obtained through data analysis and inference.

Statistics provides us with a set of tools and methods to collect, analyze, and interpret data. By applying statistical techniques, we can make decisions based on evidence derived from empirical observations and measurements.

Statistics allows us to summarize and describe data, identify patterns and relationships, and draw conclusions from samples or populations. It helps us quantify uncertainty and assess the strength of evidence supporting different claims or hypotheses.

Decision-making based on statistics involves making inferences about a larger population based on the information available from a sample. By using probability theory and statistical models, we can estimate population parameters, test hypotheses, and make predictions about future events or outcomes.

Statistics provides a systematic and rigorous framework for evaluating evidence and reducing bias in decision-making. It allows us to objectively assess the reliability and validity of information, making decisions that are informed by data-driven analysis rather than intuition or anecdotal evidence.

In summary, statistics helps us make decisions based on evidence obtained through data analysis, enabling us to draw reliable conclusions, quantify uncertainty, and make informed choices in various fields such as business, medicine, social sciences, and more.

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Answer:

Answer A - (0,2), (2,-1)

Step-by-step explanation:

GRAPH FOR EQUATION GRAPHED BELOW

If we look at the graph it goes through points (0,2), (2,-1)

Answer:

\( \frac{ {m}^3{} }{25} \)

Step-by-step explanation:

that is the answer

Conceptually, the arithmetic and geometric average returns are different measures used to describe the performance of an investment or an asset over a specific period.

The arithmetic average return, also known as the mean return, is calculated by adding up all the individual returns and dividing by the number of periods. It represents the average return for each period independently.

On the other hand, the geometric average return, also called the compound annual growth rate (CAGR), considers the compounding effect of returns over time. It is calculated by taking the nth root of the total cumulative return, where n is the number of periods.

When to use each measure depends on the context and purpose of the analysis:

1. Arithmetic Average Return: This measure is typically used when you want to evaluate the average return for each individual period in isolation. It is useful for analyzing short-term returns, such as monthly or quarterly returns. The arithmetic average return provides a simple and straightforward way to assess the periodic performance of an investment.

2. Geometric Average Return: This measure is more suitable when you want to understand the compounded growth of an investment over an extended period. It is commonly used for long-term investment horizons, such as annual returns over multiple years.

The geometric average return provides a more accurate representation of the overall growth rate, accounting for the compounding effect and reinvestment of returns.

In summary, the arithmetic average return is suitable for analyzing short-term performance, while the geometric average return is preferred  evaluating long-term growth and the compounding effect of returns.

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Answer:

5 * 2 + 6 * 5

Step-by-step explanation:

Distributive Property.

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Answer:

x=-1

y=-3

Step-by-step explanation:

3x-2y=3(1)

5.(1) <=> 15x-10y=15 (2)

15x-4y=-3 (3)

(2)-(3) <=> -6y=18

a) Parker has more blue marbles than Richard.
b) After the Simplification of the fraction, we get 34. Thus, Richard has 34 blue marbles

Part a: To determine if Parker has more blue marbles than Richard, we can compare the numbers. Richard has 34 of the number of blue marbles that Parker has. Since Richard has a fraction (34/12) of what Parker has, multiplying a whole number (12) by a fraction (34/12) will result in a product that is greater than the original whole number. Therefore, Parker has more blue marbles than Richard.

Part b: To find out how many blue marbles Richard has, we can use the information given in part a. Since Richard has 34 of the number of blue marbles that Parker has, we can calculate this by multiplying 12 (the number of blue marbles that Parker has) by the fraction 34/12. Simplifying this fraction, we get 34. Thus, Richard has 34 blue marbles.

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