what is the largest interval containing zero on which f(x) = \sin x is one-to-one?

Answer:

d

Step-by-step explanation:

i think i helped. have a nice day

The area of the floor in the scale drawing will be equal to 150 in².

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Length of the classroom, l = 30 feet and,

The width of the classroom, w = 20 feet.

As per the scale drawing, the length of the classroom, l' = 15 feet

Let the scale width, w' = x feet

As we can see that the original length is twice the scale drawing.

Then, the original width also is twice the scale drawing.

So, w' = 20/2 = 10 feet.

Now, the area of the floor in the scale drawing will be,

A = wl

A = (15)(10)

A = 150 in².  

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Answer:

1.5 million

Step-by-step explanation:

To find this you need to find 60% of the 2.5 million people. To do this, multiply 2.5 million by .6, which is 60% in decimal form, and then you'd get 1.5 million.

The order for 50 chain saws will be shipped at the start of week 8.As the manager, I will ensure that the assembly of the 50 chain saws begins at the start of week 6 to meet the shipping deadline at the start of week 8.

To determine the shipping date, we need to consider the production time for assembling the chain saws. Assuming a standard production time of 2 weeks, we can calculate the start date for production.

Start date for production = Shipping date - Production time = Week 8 - 2 weeks = Week 6

Therefore, the assembly of the chain saws should start at the beginning of week 6 in order to meet the shipping deadline at the start of week 8.

As the manager, I will ensure that the assembly of the 50 chain saws begins at the start of week 6 to meet the shipping deadline at the start of week 8. This will ensure that the order is fulfilled on time and the customer's expectations are met.

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Answer:

Step-by-step explanation:

You want two numbers such that ...

Let x and y represent the first and second numbers, respectively. Then the given relations can be written as the equations ...

  x +2y = 8

  2x +y = 34

Solving the first equation for x gives ...

  x = 8 -2y

Using that in the second equation, we have ...

  2(8 -2y) +y = 34

  16 -3y = 34 . . . . . . eliminate parentheses

  -18 = 3y . . . . . . . . add 3y-34

  -6 = y . . . . . . . . divide by 3

  x = 8 -2(-6) = 8 +12 = 20

The first number is 20, and the second number is -6.

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Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

Answer:

What the other guy said

Step-by-step explanation:

The given points, only the point (4, -9, -8) lies on line 1.

To determine whether certain points lie on the line 1, which is perpendicular to the plane x - 2y - 4z = 5 and contains the point (2, -5, 0), we can check if the coordinates of those points satisfy the equation of the line.

The direction vector of the line 1 is perpendicular to the plane and can be determined from the coefficients of x, y, and z in the plane equation. In this case, the direction vector of the line is (1, -2, -4).

Now, we can write the parametric equation of the line l as:

x = 2 + t * 1

y = -5 + t * (-2)

z = 0 + t * (-4)

To check if a point (x₀, y₀, z₀) lies on the line 1, we need to find a value of t that satisfies the parametric equations.

Let's consider the following points and determine if they lie on line 1:

Point (3, -6, -4)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (3, -6, -4) into the parametric equations:

x₀ = 2 + t * 1 --> 3 = 2 + t --> t = 1

y₀ = -5 + t * (-2) --> -6 = -5 - 2 --> t = -1

z₀ = 0 + t * (-4) --> -4 = 0 - 4t --> t = 1

The value of t is not consistent across all equations, so the point (3, -6, -4) does not lie on line 1.

Point (2, -5, 0)

This point is given as the point that line 1 contains. Therefore, it lies on line 1.

Point (4, -9, -8)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (4, -9, -8) into the parametric equations:

x₀ = 2 + t * 1 --> 4 = 2 + t --> t = 2

y₀ = -5 + t * (-2) --> -9 = -5 - 2t --> t = 2

z₀ = 0 + t * (-4) --> -8 = 0 - 8t --> t = 1

The value of t is consistent across all equations, so the point (4, -9, -8) lies on line 1.

Therefore, among the given points, only the point (4, -9, -8) lies on line 1.

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The complete question is:

Let l be the line perpendicular to the plane x - 2y - 4z = 5 and containing the point (2, -5, 0). determine whether the following points lie on line l.

Answer:

1. x < -2

2. x < -9

Step-by-step explanation:

1. x + 15 < 13

Minus 15 on both sides.

x + 15 - 15 < 13 - 15

+15 - 15 makes a 0.

x < -2

2. x + 11 < 2

Minus 11 on both sides.

x + 11 - 11 < 2 - 11

+11 - 11 makes a 0.

x < -9

Answer:

1. x < -2

2. x < -9

3. x < 15

Step-by-step explanation:

Treat the < and > symbols as an equals sign to make it less confusing to solve. Then solve for x like you normally would.

1. x+ 15 = 13

subtract 15 from both sides

x=-2, or x < -2

2. x + 11 = 2

Subtract 11 from both sides.

x=-9, or x <-9

3. 19 > x + 4

19 = x + 4

Subtract 4.

15 > x, or x < 15

Answer:

Slope intercept form is y = mx + b

m is slope

b is y intercept

y = -4/5x + -9

I only know that first one sry

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

slope intercept form is y=mx+b

b is the y intercept, m is the slope, and x is x.

for

1. it would be

y= -4/5x -9

2. You take the points and do (y2-y1) DIVIDED BY (x2-x1)

it would look like:

(5- -3) / (3-0) = (8/3)

Then plug in one of the sets of numbers for x and y, to get y intercept.

5=8/3(3)+b

b=-3

So.. slope intercept would be y=8/3x -3

Answer:

0.66 or 0.67 rounded

Step-by-step explanation:

2/3=

0.66

Answer:

0.6 or 0.666666666666666666666

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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Answer:

-1 -8

Step-by-step explanation:

Answer:

(1,8)

Step-by-step explanation:

only point that doesn't go through other lines

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:     9 • 10⁵

-----------------------------------------------------------------------------------------

Answer:

-1/2  

Step-by-step explanation:

first point is 1,-4

second point is 5,-6

Slope is  y2-y1/x2-x1

-6 - -4 / 5 - 1

-2/ 4

-1/2

Answer:

x=10.5

Step-by-step explanation:

2x+30=6x-12

30=4x-12

42=4x

x=10.5

Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

One large jar and five small jars can hold 26 ounces of jam, hence:

l + 5s = 26, which is the first equation in matrix form.

Then:

l = 26 - 5s.

One large jar minus one small jar can hold 2 ounces of jam, hence:

l - s = 2, which is the second equation in matrix form:

Then:

l = 2 + s = 26 - 5s

2 + s = 26 - 5s

6s = 24

s = 4.

l = 26 - 5s = 6.

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The equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.

To find the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π), we need to determine the slope of the tangent line and use the point-slope form of a linear equation.

The slope of the tangent line at a specific point on a curve can be found by taking the derivative of the function at that point.

Given y = 16x sin(x), let's find its derivative:

dy/dx = d/dx (16x sin(x))

      = 16 (sin(x) + x cos(x))

To find the slope of the tangent line at (π/2, 8π), substitute x = π/2 into the derivative:

dy/dx = 16 (sin(π/2) + (π/2) cos(π/2))

      = 16 (1 + (π/2) * 0)

      = 16

Therefore, the slope of the tangent line at (π/2, 8π) is 16.

Now, using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y₁ = m(x - x₁),

where (x₁, y₁) is the point (π/2, 8π), and m is the slope of the tangent line.

Substituting the values, we have:

y - 8π = 16(x - π/2).

Simplifying:

y - 8π = 16x - 8π.

Rearranging the terms, we get the equation of the tangent line:

y = 16x.

Therefore, the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.

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Answer:

Step-by-step explanation:

Answer: \(\sqrt{85}\) or 9.2

Step-by-step explanation:

To find the average value of the function f(x, y) = 8x + 5y over the given triangle, we need to calculate the double integral of f(x, y) over the region and then divide it by the area of the triangle.

The vertices of the triangle are (0, 0), (2, 0), and (0, 7). We can set up the integral as follows:

∬R f(x, y) dA = ∫₀² ∫₀ᵧ (8x + 5y) dy dx

Integrating with respect to y first, the inner integral becomes:

∫₀ᵧ (8x + 5y) dy = 8xy + (5y²/2) |₀ᵧ = 8xᵧ + (5ᵧ²/2)

Now integrating with respect to x, the outer integral becomes:

∫₀² (8xᵧ + (5ᵧ²/2)) dx = (4x²ᵧ + (5ᵧ²x)/2) |₀² = (8ᵧ + 10ᵧ² + 20ᵧ)

To find the area of the triangle, we can use the formula for the area of a triangle: A = (1/2) * base * height.

The base of the triangle is 2 and the height is 7.

A = (1/2) * 2 * 7 = 7

Finally, to find the average value, we divide the double integral by the area of the triangle:

Average value = (8ᵧ + 10ᵧ² + 20ᵧ) / 7

Simplifying this expression gives:

Average value = (8 + 10ᵧ + 20ᵧ) / 7 = (8 + 10(7) + 20(7)) / 7 = 142/7 = 20 2/7

Therefore, the correct answer is not listed among the options provided.

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The non-biased samples among the given scenarios are:

a) A study is conducted to study the eating habits of the students in a school. To do so, every tenth student on the school roster is surveyed. A total of 419 students were surveyed.

b) A study was conducted to determine public support of a new transportation tax. There were 650 people surveyed, from a randomly selected list of names on the local census.

A non-biased sample is one that accurately represents the larger population without any systematic favoritism or exclusion. Based on this understanding, the scenarios that represent non-biased samples are:

A study is conducted to study the eating habits of the students in a school. Every tenth student on the school roster is surveyed. This scenario ensures that every tenth student is included in the survey, regardless of any other factors. This random selection helps reduce bias and provides a representative sample of the entire student population.

A study was conducted to determine public support for a new transportation tax. The researchers surveyed 650 people from a randomly selected list of names on the local census. By using a randomly selected list of names, the researchers are more likely to obtain a sample that reflects the diverse population. This approach helps minimize bias and ensures a more representative sample for assessing public support.

The other scenarios mentioned do not represent non-biased samples:

The radio station asking listeners to phone in their favorite radio station relies on self-selection, as it only includes people who choose to participate. This may introduce bias as certain groups of listeners may be more likely to call in, leading to an unrepresentative sample.

The substitute teacher asking the 5 students sitting in the front row about their test scores introduces bias since it excludes the rest of the class. The front row students may not be representative of the entire class's performance.

The study conducted by a chewing gum company that found chewing gum improves test scores is biased because it was conducted by a company with a vested interest in proving the benefits of their product. This conflict of interest may influence the study's methodology or analysis, leading to biased results.

The study conducted to find the average GPA of Anytown High School, where the number of students is 2,100, collected data from only 500 students who visited the library. This approach may introduce bias as it excludes students who do not visit the library, potentially leading to an unrepresentative sample.

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Answer:

i think it is b not 100% sure srry if its wrong.

Step-by-step explanation:

Answer:

3x+8=35

3x= 35-8

3x= 23

x=23/3

The zeros for the function f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2.

To find the zeros of the function f(x), we set each factor equal to zero and solve for x. Therefore, we have x = 0, x = 4, and x = -2 as the zeros.

The end behavior of the function can be determined by analyzing the highest power of x in the equation, which is x^6. Since the power of x is even, the graph of the function is symmetric about the y-axis.

As x approaches positive infinity, the value of x^6 increases without bound, resulting in f(x) approaching positive infinity.

Similarly, as x approaches negative infinity, x^6 also increases without bound, leading to f(x) approaching positive infinity.

In summary, the zeros for f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2. The end behavior of the function is that as x approaches positive or negative infinity, f(x) approaches positive infinity.

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The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

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Dante is on the swim team each day he swims 0.7 kilometers.

We have,

Dante is on the swim team each day he swims 700 meters.

We know that,

1 kilometers = 1000 meters

Hence,

1 meter = 1/1000 km

Here, Dante is on the swim team each day he swims 700 meters.

Change it into kilometers,

= 700 / 1000 kilometers

= 0.7 kilometrs

Therefore, Dante is on the swim team each day he swims 0.7 kilometers.

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The probability that every even number appears at least once before the first occurrence of an odd is 1/20.

Given:

A fair 6-sided die is repeatedly rolled until an odd number appears.

There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.

so the probability = 3!*3! / 6!

= 3!*3! / 6*5*4*3!

= 3*2*1 / 6*5*4

= 6*1 / 30*4

= 6/120

= 1/20

Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.

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Answer:

Step-by-step explanation:

Para resolver este problema, necesitamos usar la fórmula de interés compuesto1 para el plan B y la fórmula de interés simple para el plan A.

Para el plan A, Sam aumentará su saldo en $500 cada año, así que después de 5 años tendrá:

$5000 + 5 x $500 = $7500

Para el plan B, Sam aumentará su saldo en un 10% cada año, así que después de 5 años tendrá:

$5000 x (1 + 0.1)^5 = $8052.55

El mejor plan para ahorrar más dinero es el plan B porque le dará a Sam un saldo mayor después de 5 años que el plan A. Esto se debe a que el interés compuesto hace que el saldo crezca más rápido que el interés simple.

Espero haber respondido a tu pregunta.

Answer:

A=D where is picture . it is required