What are the domain and range of the relation given in the table?

Answer:

I would need more information but I believe its A

Step-by-step explanation:

Answer:

8√3.

Irrational.

Step-by-step explanation:

3√3 + 5√3

= 8√3.

This is irrational as √3 is irrational.

To determine the percent of incorrect answers:

Out of 120 trigonometry test question, 54 was answered correctly:

Let the number of question with incorrect answer be 120 - 54 = 66

Hence she answered 55 % incorrectly

Answer:

9/35

Hope this helps :)

The flux of the vector field F = <4, 1, -K> through the square in the plane y = 3, centered on the y-axis, with sides parallel to the x and z axes and oriented in the positive y direction, is zero.

To calculate the flux, we need to evaluate the surface integral of the vector field F = <4, 1, -K> over the given square. The flux of a vector field through a surface represents the flow of the field through the surface. In this case, the square is parallel to the xz-plane and centered on the y-axis, with sides of length 4. The surface is oriented in the positive y direction.

Since the y-component of the vector field is zero (F = <4, 1, -K>), it means that the vector field is parallel to the xz-plane and perpendicular to the square. As a result, the flux through the square is zero. This implies that there is no net flow of the vector field across the surface of the square. The absence of a y-component in the vector field indicates that the field does not penetrate or pass through the square, resulting in a flux of zero.

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Given that the function f is linear, f(1) = −4, and f intersects the x-axis at an angle of 150° (measured counterclockwise from the x-axis, as usual). To find a formula for f and leave the answer in exact form, let's proceed as follows: Let a be the slope of the linear function, f(x) = ax + b.

Given that the function f is linear, f(1) = −4, and f intersects the x-axis at an angle of 150° (measured counterclockwise from the x-axis, as usual). To find a formula for f and leave the answer in exact form, let's proceed as follows: Let a be the slope of the linear function, f(x) = ax + b.

At point (1, -4), we have-4 = a(1) + b ...(1)

Also, given that f intersects the x-axis at an angle of 150° (measured counterclockwise from the x-axis), we can use the angle θ that f makes with the positive x-axis to find the slope as follows: tan θ = a ...(2)

Since the angle with x-axis is 150°, the angle made with the positive x-axis is 30°.

Hence, tan 30° = 1 / √3

Therefore, a = 1 / √3. Hence, from equation (1), -4 = (1 / √3) + b ⇒ b = -4 - (1 / √3)

Thus, the equation of the linear function f is

f(x) = (1 / √3)x - (4 + 1 / √3).

Therefore, the formula for f is given by f(x) = (1 / √3)x - (4 + 1 / √3).

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Answer:

Step-by-step explanation:

Divide the numbers by only the prime numbers.

After u have done completing as in the attached picture:

you have to write :

156 = 2 × 2 × 3 × 13

To officially initiate the project for constructing two science laboratories at Eduvos, the report should outline the management approach for three knowledge areas: Human Resources, Procurement Management, and Quality Management.

Human Resources Management: The report should describe how the project will handle human resources. This includes identifying the required skills and competencies for the project team, developing a staffing plan, and defining roles and responsibilities. It should outline the process for recruiting and selecting team members, as well as strategies for managing and motivating the team throughout the project. Additionally, the report should address any training or development needs to ensure the team is equipped to successfully complete the construction project.
Procurement Management: The report should outline the approach for procurement management. This involves identifying the necessary materials, equipment, and services required for the construction project. It should specify the procurement process, including vendor selection criteria, bidding procedures, and contract negotiation. The report should also address the manarisks or criteria of supplier relationships, monitoring of deliveries, and handling any procurement-related risks or issues that may arise during the project.
Quality Management: The report should detail the quality management plan for the construction project. This includes defining quality objectives, standards, and metrics to ensure that the laboratories meet the required specifications. It should outline the processes for quality assurance, such as inspections, testing, and verification of workmanship. The report should also address quality control measures to monitor and address any deviations from the defined standards. Additionally, it should include strategies for continuous improvement and the resolution of quality-related issues throughout the project.
By providing a comprehensive overview of the management approaches for Human Resources, Procurement, and Quality, the report sets the foundation for successfully initiating the construction project and ensuring its smooth execution.

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So, based on the theoretical likelihood, we anticipate that 35 times out of 140 repeats, both spins will be odd numbers.

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible to occur and 1 indicating that an event is certain to occur. The probability of an event A, denoted by P(A), is calculated as the number of favorable outcomes for the event divided by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 3 is 1/6 because there is only one favorable outcome (rolling a 3) out of the total 6 possible outcomes. Probabilities can be used to make predictions about the likelihood of future events and to make decisions under uncertainty. Probabilities can also be used to describe the distribution of random variables and to quantify the relationship between different events. Probability theory is widely used in many fields, such as statistics, engineering, finance, physics, and biology, among others.

Here,

The theoretical probability of both spins being odd numbers is 9 over 36, which means that for every 36 times the experiment is repeated, we expect 9 of those times to result in both spins being odd numbers.

If the experiment is repeated 140 times, we can use the theoretical probability to estimate the number of times both spins will be odd numbers as follows:

140 * (9/36) = 35

So, based on the theoretical probability, we predict that both spins will be odd numbers 35 times out of 140 repetitions.

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We have shown that the left-hand side of the equation is equal to the right-hand side of the equation, and the trigonometric identity is proved.

We have,

(cos 2x + cos 4x)/(cos 2x - cos 4x)

We can use the identity cos 2A = 1 - 2sin² A to rewrite cos 4x as:

cos 4x = 1 - 2sin² 2x

Then, substituting this into the expression, we get:

(cos 2x + 1 - 2sin² 2x)/(cos 2x - 1 + 2sin² 2x)

Using the identity sin² A = 1 - cos^2 A, we can rewrite sin² 2x as:

sin² 2x = 1 - cos² 2x

Substituting this into the expression, we get:

(cos 2x + 1 - 2(1 - cos² 2x))/(cos 2x - 1 + 2(1 - cos² 2x))

Simplifying the numerator and denominator separately, we get:

(2cos² 2x + 1)/(2cos² 2x - 1)

Using the identity cot A = 1/tan A, we can rewrite tan 3x as:

tan 3x = sin 3x/cos 3x

We can then use the identity sin 3A = 3sin A - 4sin^3 A and

cos 3A = 4cos³ A - 3cos A to rewrite sin 3x and cos 3x as:

sin 3x = 3sin x - 4sin³ x

cos 3x = 4cos³ x - 3cos x

Substituting these expressions into the right-hand side of the equation, we get:

cot 3x/tan x = (cos x/sin x)/(3sin x - 4sin³ x)/(cos x)

Simplifying by multiplying the numerator and denominator by the reciprocal of the fraction in the denominator, we get:

cot 3x/tan x = (cos x/sin x) * (cos x)/(3sin x - 4sin^3 x)

Multiplying the two fractions together, we get:

cot 3x/tan x = cos^2 x/(sin x(3 - 4sin^2 x))

Using the identity 1 - cos^2 A = sin^2 A, we can rewrite cos^2 x as:

cos^2 x = 1 - sin^2 x

Substituting this into the expression, we get:

cot 3x/tan x = (1 - sin^2 x)/(sin x(3 - 4sin^2 x))

Simplifying the numerator and denominator separately, we get:

cot 3x/tan x = (1/sin x) x (1 + sin x)/(3 - 4sin^2 x)

Using the identity 1 + sin A = 1/cos A, we can rewrite the expression as:

cot 3x/tan x = (1/sin x) x (1/cos x)/(3 - 4sin^2 x)

Finally, using the identity cot A = cos A/sin A, we can rewrite the expression as:

cot 3x/tan x = cos x/(sin x(3 - 4sin^2 x))

Therefore,

We have shown that the left-hand side of the equation is equal to the right-hand side of the equation, and the trigonometric identity is proved.

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1/2 gallons of water rush down the slide each seconds.

For the given question-

Rate of running water = 1 half gallon every 3 seconds.

Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.

It means-

In every 3 seconds ----> 3/2 gallons water flows.

Thus for 1 sec, divide both side by 3.

1 seconds ----> 1/2 gallons water flows.

Therefore, 1/2 gallons of water rush down the slide each seconds.

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Answer:

\(\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)\)

and

\(x=5,\:x=-3,\:x=-\frac{1}{11}\)

Step-by-step explanation:

This problem is slightly more difficult.

We start off with the product rule. If y = v*u then in the case:

\(u=\left(x+3\right)^4,\:v=\left(x-5\right)^7\)

\(=> \frac{d}{dx}\left(\left(x+3\right)^4\right)\left(x-5\right)^7+\frac{d}{dx}\left(\left(x-5\right)^7\right)\left(x+3\right)^4\)

Now we apply the chain rule:

\(\frac{d}{dx}\left(\left(x+3\right)^4\right) = 4\left(x+3\right)^3\frac{d}{dx}\left(x+3\right)\\= 4\left(x+3\right)^3\cdot \:1\\= 4\left(x+3\right)^3\)

We can apply the chain rule again for this second bit:

\(\frac{d}{dx}\left(\left(x-5\right)^7\right) = 7\left(x-5\right)^6\frac{d}{dx}\left(x-5\right)\\= 7\left(x-5\right)^6\cdot \:1\\= 7\left(x-5\right)^6\)

So now we are left with this long equation:

\(4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4\)

Which we can actually factor:

\(4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4 = \left(x-5\right)^6\left(x+3\right)^3\left(4\left(x-5\right)+7\left(x+3\right)\right) \\= \left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)\)

...And for the second bit, if we equate to 0, we can apply the Zero Product Property to get all the x values:

\(\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)=0,\\x=5,\:x=-3,\:x=-\frac{1}{11}\)

The given linear model S(t) = 6000 - 500t represents the remaining distance, in miles, a plane must travel from Los Angeles to Paris t hours after the flight begins.

The intercepts on the vertical and horizontal axes have specific meanings in the context of this application.

The vertical intercept, also known as the y-intercept, is the point where the graph intersects the vertical axis. In this case, when t = 0, we can substitute t = 0 into the equation:

S(0) = 6000 - 500(0) = 6000

The vertical intercept is (0, 6000). In the context of the application, it represents the initial distance between Los Angeles and Paris, which is 6000 miles. It indicates that at the start of the flight, the plane has to travel the full distance of 6000 miles.

The horizontal intercept, also known as the x-intercept, is the point where the graph intersects the horizontal axis. To find the horizontal intercept, we set S(t) equal to zero and solve for t:

6000 - 500t = 0

500t = 6000

t = 12

The horizontal intercept is (12, 0). In the context of the application, it represents the time it takes for the plane to complete the journey and reach its destination, which is 12 hours. At this point, the remaining distance is zero, indicating that the plane has arrived in Paris.

Overall, the intercepts on the vertical and horizontal axes provide meaningful information about the initial distance and the time it takes to complete the journey in the context of the plane's travel from Los Angeles to Paris.

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Answer:

2.41860465*10^-2

Step-by-step explanation:

Just use your calculator

Answer:

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

$250.69 maybe?

Step-by-step explanation:

The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.

Inequality is a statement that two or more mathematical expressions are unequal.

Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).

The cost price of shrimp per pound = $8.50

The total spending budget = $35

Let the number of pounds of shrimp Luna can buy = x

8.50x < 35

x = 4

Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.

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Answer:

soln,

here,1st and 2nd case for a

1st case

so,a=3/2g.

2nd case

a=2/3g.

3rd and 4th case for X

3rdcase

(U+4)/2=X

X=(U+4)/2.

4th case

X=(U+4)/2.

Answer:

Sorry icant help

Step-by-step explanation:

i never did this before

Answer:

A. only 4

Step-by-step explanation:

Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

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The equation of an arch for the given parabolic cross section is

y =  -2x² and its height is equal to 50 feet.

As given in the question,

Vertex of the parabola ( h , k ) = (0 , 0)

Focus is 0.5 foot below the given vertex.

Distance between focus and vertex 'a' = - 0.5

Standard equation of the parabola is given by:

( y - k ) = 4a ( x - h)²

Substitute the values we get,

( y - 0 ) = 4× (-0.5) ( x - 0)²

⇒ y = -2x²

Equation to represent the cross section of the given arch is

y = -2x²

Arch is 10 feet wide at ground level

⇒ x = 5 feet

Height of the arch is '( 0 - y)'

⇒ ( 0- y ) = 0 - 2(5)²

      = 50 feet

Therefore , the equation and height of the arch for the given parabolic cross section is equal to y =  -2x² and 50 feet respectively.

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Answer:

6^15

Step-by-step explanation:

(6^3)^5

~Apply rule [ (x^y)^z = x^y*z ]

6^3*5

~Simplify

6^15

Best of Luck!

Answer:

54°

Step-by-step explanation:

Since the 5 vertex angles are congruent, each vertex angle = 360/5 = 72°

The sum of the angles of each triangle is 180-72 = 108°

The base angles of each triangle are equal to each other so each base angle = 108/2 = 54°

Answer:

D

Step-by-step explanation: WONDERWALL RULES

Wonderwall

Song by Oasis

Today is gonna be the day

That they're gonna throw it back to you

By now you should've somehow

Realized what you gotta do

I don't believe that anybody

Feels the way I do about you now....Ye i cant type the whole song but i tried!!

Answer:

7/3 is x take 7/6 divided by 1/2

Answer:

x = 7/3

Step-by-step explanation:

1/2x=7/6

Multiply each side by 2

1/2x*2 = 7/6*2

x = 14/6

x = 7/3

(a) The width of the rug is 5.25 feet.

(b)  An equation to model the solution to the problem  = \(8\frac{1}{2}x\) = \(44\frac{5}{8}\)

Given,

In the question:
The area of a rug measures 44 5/8 square feet.

The length of the rug measures 8 1/2 feet.

To find the width of the rug in feet.

Now, According to the question:

(a) Based on the given condition:

Formulate:

\(44\frac{5}{8}\) ÷ \(8\frac{1}{2}\)

= 257/8 x 17/2

Cross out the common factor:

= 257/68 = 5.25 feet

Hence, The width of the rug is 5.25 feet.

(b)  Write an equation to model the solution to the problem.

Let's says width is x ,then

Area of rug is = l x w

so, Width of rug is = \(8\frac{1}{2}x\) = \(44\frac{5}{8}\)

Hence, (a) The width of the rug is 5.25 feet.

(b)  An equation to model the solution to the problem  = \(8\frac{1}{2}x\) = \(44\frac{5}{8}\)

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