Witch expression is equivalent to 1/5(150x - 80y + 50 - 50x- 25y + 20)?

Answer:

Step-by-step explanation:

\((y-k)=a(x-h)^2,\ a\neq0\)

\((a\pm b)^2=a^2\pm2ab+b^2\qquad(*)\)

We have

\(y=-4x^2-8x-7\)

\(y=-4x^2-4(2x)-4(1)-3\)

distribute

\(y=-4(\underbrace{x^2+2x+1}_{(*)})-3\)  

use (*)

\(y=-4(x+1)^2-3\)

add 3 to both sides

\(y+3=-4(x+1)^2\)

\(y-(-3)-4\bigg(x-(-1)\bigg)^2\)

the vertex

\((-1;\ -3)\)

Answer:

Yes

Step-by-step explanation:

It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.

Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.

According to the question;

Although, according to line geometry;

The slope of two perpendicular lines are related as follows;

The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.

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False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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1. For sample 1:

  - Percent of water: 48.85%

2. For sample 2:

  - Percent of water: 35.14%

3. For sample 3:

  - Percent of water: 34.97%

4. Average percent of water for all three samples: 39.65%

5. Median percent of water: 35.14%

6. Range of percent of water: 13.88%

7. Relative percent range: 35.04%


To find the percent of water in a compound, we can use the following steps:

⇒ Calculate the mass of water lost during heating.
- Subtract the mass of the beaker after the 2nd heating from the mass of the beaker sample after the 2nd heating. This gives you the mass of water lost during heating.

⇒ Calculate the mass of the compound.
- Subtract the mass of the beaker sample after the 2nd heating from the mass of the beaker sample. This gives you the mass of the compound.

⇒ Calculate the percent of water.
- Divide the mass of water lost during heating by the mass of the compound.
- Multiply the result by 100 to get the percent.

Now, let's calculate the percent of water for each sample:

For sample 1:
- Mass of water lost = 10.915 g - 10.615 g = 0.300 g
- Mass of the compound = 10.615 g - 10.001 g = 0.614 g
- Percent of water = (0.300 g / 0.614 g) x 100 = 48.85%

For sample 2:
- Mass of water lost = 10.771 g - 10.571 g = 0.200 g
- Mass of the compound = 10.571 g - 10.002 g = 0.569 g
- Percent of water = (0.200 g / 0.569 g) x 100 = 35.14%

For sample 3:
- Mass of water lost = 10.821 g - 10.621 g = 0.200 g
- Mass of the compound = 10.621 g - 10.050 g = 0.571 g
- Percent of water = (0.200 g / 0.571 g) x 100 = 34.97%

To calculate the average, add up the percent of water for all three samples and divide by 3:
- (48.85% + 35.14% + 34.97%) / 3 = 39.65%

To find the median value, arrange the percent of water values in ascending order and find the middle value:
- 34.97%, 35.14%, 48.85%
- The median value is 35.14%.

To calculate the range, subtract the smallest value from the largest value:
- Largest value: 48.85%
- Smallest value: 34.97%
- Range: 48.85% - 34.97% = 13.88%

To calculate the relative percent range, divide the range by the average and multiply by 100:
- Relative percent range = (13.88% / 39.65%) x 100 = 35.04%

Please note that these calculations are based on the given data and are accurate to three significant figures.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer: 5 km

Step-by-step explanation:

This situation is a Pythagorean Theorem  problem so we will use the Pythagorean  Theorem rule that A^2 plus B^2 is equal C^2.

so if they hiked 3 km north, three in this case will be the height of the right triangle or in other words, one of the legs of the right triangle.

And if they  hiked  4 km east then 4 in this case will also be one of the legs.So is asking what is the hypotenuse.

So in this case square the two legs and add them up to find the  square root.

3^2 + 4^2 =C^2

9 + 16 = c^2

25 = c^2       Find the square root of 25

c=  5  

So in this case they  hiked 5 km straight home.

The hike distance will be 5 kilometers.

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

This situation is a Pythagorean Theorem problem so we will use the Pythagorean  Theorem rule that A² plus B² is equal to C².

If they hiked 3 km north, three, in this case, will be the height of the right triangle or in other words, one of the legs of the right triangle.

And if they hiked  4 km east then 4, in this case, will also be one of the legs. So is asking what is the hypotenuse.

So in this case square the two legs and add them up to find the square root.

3² + 4² =C²

9 + 16 = c²

25 = c²    

c =  5

Therefore, the hike distance will be 5 kilometers.

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Answer:

the correct answer is B. hope this helped

Answer:

Length of new rectangle = (x + 7) inches

Width of new rectangle = (x + 4) inches

Step-by-step explanation:

A rectangle is a quadrilateral that has opposite sides to be parallel and equal. While a square has all its sides to be equal.

Given that: the square has unknown side length x inches.

Increasing one of its length by 4 inches = (x + 4) inches

Increasing the other by 7 inches = (x + 7) inches.

The new lengths results to a rectangle with length (x + 7) inches, and a width of (x + 4) inches.

the label diagram to represent the new rectangle is shown in the diagram attached to this answer.

P(x ≥ 18.5) ≈ 0.040 (rounded to three decimal places).

To find the probabilities for the given normal distribution with a mean (μ) of 15 and a standard deviation (σ) of 2, we can utilize the standardized normal distribution table or standard normal distribution calculator.

However, I'll demonstrate how to solve it using Z-scores and the cumulative distribution function (CDF) for a standard normal distribution:

a. P(x ≥ 18.5):

First, we need to calculate the Z-score for the value x = 18.5 using the formula:

Z = (x - μ) / σ

Z = (18.5 - 15) / 2

Z = 3.5 / 2

Z = 1.75

Now, we find the probability using the standard normal distribution table or calculator:

P(Z ≥ 1.75) ≈ 0.0401 (from the table)

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Assuming question is:

3(0)= -2x+9

and we have to solve for x:

0 = -2x + 9

We take x to one side, so it becomes:

2x = 9

Now we divide by 2 on both sides:

2x/2 = 9/2

x = 9/2

The correct answer is:

Answer:

1.5/2 or 75%

Step-by-step explanation:

3/2=1.5

4/2=2

Claim: Administrators should be allowed to search students lockers with reasonable suspicion to ensure safety.Support: 1) Confiscation of dangerous items, 2) A safer school environment.Counterclaim: Locker searches violate student privacy.Response: Schools protect privacy with reasonable suspicion, and lockers are school property provided for storage, not privacy.

A claim is a statement that asserts a position or opinion, often used to support an argument or thesis.

A counterclaim is an opposing argument to a claim, typically presented to challenge or refute the original assertion.

According to the given information:

Claim: Administrators should be allowed to search students' lockers with reasonable suspicion.

Support 1: Safety concerns

As the examples from Los Angeles Unified district show, students may bring dangerous items to school, including weapons and drugs. Locker searches can help identify these items and prevent potential harm to students and staff.

Support 2: Property ownership

The lockers provided to students by the school district are their property, and administrators have the right to access and search their own property. When students use the lockers, they agree to comply with school policies and regulations, including the possibility of locker searches.

Counterclaim: Violation of privacy rights

Some may argue that locker searches violate students' privacy rights, but this can be addressed by limiting searches to situations where there is reasonable suspicion of wrongdoing. Students still have the right to privacy, but this right is not absolute and must be balanced against the need for school safety.

Explanation of counterclaim:

While it is understandable that some may feel that locker searches infringe on privacy rights, it is important to recognize that schools have a responsibility to maintain a safe learning environment for all students. The search of lockers is a minimally invasive way to address concerns related to student safety and security. When searches are conducted with reasonable suspicion and without arbitrary discrimination, they are a necessary tool for maintaining a safe and secure school environment

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The inverse is y = x/2 - 4

Steps involved are -

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Answer:

I think its B.

Step-by-step explanation:

sorry if i am wrong.

So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

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Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

According to the given statement, v Five out of ten monkeys at the zoo like people. It means 5 monkeys out of every 10 monkeys, so we can simplify it to 1 out of every 2 monkeys.

Now, we have to find the number of monkeys that like people if there are 30 monkeys at the zoo.

Therefore, the number of monkeys that like people will be (1/2) x 30= 15.

Hence, we can say that if there are 30 monkeys at the zoo, 15 monkeys like people.

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i. The equation of the plane is 4x + 8y - 4z + 48 = 0. ii.The line crosses the z-axis at the point (0, 0, 12).

The equation of the plane determined by the points (-5,-1,5), (1,-3,7), and (-7,-1,3) can be found by solving a system of equations. We can write the equation of the plane in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants.

To find the equation, we need to find the normal vector to the plane. We can obtain the normal vector by taking the cross product of two vectors formed by the given points. Let's choose the vectors (-5,-1,5) to (1,-3,7) and (-5,-1,5) to (-7,-1,3):

Vector A = (1-(-5), -3-(-1), 7-5) = (6, -2, 2)

Vector B = (-7-(-5), -1-(-1), 3-5) = (-2, 0, -2)

Taking the cross product of A and B, we get the normal vector N = A × B:

N = (4, 8, -4)

Now, we can substitute one of the given points and the normal vector into the equation of the plane to find D. Let's use the point (-5,-1,5):

4(-5) + 8(-1) + (-4)(5) + D = 0

-20 - 8 - 20 + D = 0

D = 48

Therefore, the equation of the plane is 4x + 8y - 4z + 48 = 0.

To determine where the line crosses the z-axis, we need to find the point where the line intersects the plane when x and y are both zero. Substituting x = y = 0 into the equation of the plane, we can solve for z:

4(0) + 8(0) - 4z + 48 = 0

-4z + 48 = 0

-4z = -48

z = 12

Thus, the line crosses the z-axis at the point (0, 0, 12).

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option 4 can be a relation but not a function

For a relation to be a function, there must be two mapping kinds

one to one or many to one

What this mean is that every x value will have a single y-value or many x values to one y value

No single x value will have a two y values

Thus, looking at the options, the circle can be a relation but it is not a function

This is because an x-value will have y-value below and above it

The equation of the proportional relationship is For $10.50, you can buy 1 pound of shrimp.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

c = 10.50p

where total cost (c) and the number of pounds (p) of shrimp at a grocery store.

When p= 1 pounds then the cost is

c= 10.5

Hence, For $10.50, you can buy 1 pound of shrimp.

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For $10.50, you can buy 1 pound of shrimp.

have a nice day! :)

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

Convert to a decimal by dividing the numerator by the denominator.

2.75  hours

Answer:

9.56

Step-by-step explanation:

4.78x2 so then your answer would be 9.56

Answer:

4,234 dekaliters converted to milliliters is 42340000.

Step-by-step explanation:

Answer: Your answer is going to be 42340000 millimeters.

Step-by-step explanation:

Find out how much one dekaliter is worth; multiply by that amount.

Answer with explanation:

Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.

The two expressions are

1. 7 x +4

2. 3 x +5 +4 x =1

Adding and subtracting Variables and constants

→7 x +5=1

→7 x +5-1

→7 x +4

→ When x=2,

7 x + 4 =7×2+4

=14 +4

=18

So, Both the expression has same value =18.

→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.

Correct options among the given statement about the expressions are:

1.When x = 2, both expressions have a value of 18.

2.The expressions have equivalent values for any value of x.

3.The expressions have equivalent values if x = 8.

The distance between Katie and Helicopter will be 5.774 miles approximately.

We will solve this problem with the help of Trignometry. So, what is Trignometry?

A branch of mathematics called trigonometry examines correlations between triangles' side lengths and angles. Three crucial trigonometric functions—sine, cosine, and tangent—are represented by the abbreviations sin, cos, and tan.

In this problem, it is given that Katie is watching a helicopter flying at an altitude of 5 miles and the angle of elevation is π/3.

From Sin Cos Tan, you know that:

Sin = opposite/Hypotenuse

sin(π/3) = (5 miles)/Hypotenuse

Hypotenuse = (5 miles) / Sin(π/3) = 5/ (\(\sqrt[]{3}\)/2) miles = 5.774 miles.

So, the distance between Katie to the Helicopter is about 5.774 miles.

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In this problem, it is given that Katie is watching a helicopter flying at an altitude of 5 miles and the angle of elevation is π/3.

From Sin Cos Tan, you know that:

Sin = opposite/Hypotenuse

sin(π/3) = (5 miles)/Hypotenuse

Hypotenuse = (5 miles) / Sin(π/3) = 5/ (/2) miles = 5.774 miles.

So, the distance between Katie to the Helicopter is about 5.774 miles.