simplify \(\sqrt{x^2-8x+16}\) if -4\(\leq\)x<4

Answer:

The slope is 30, and the y-intercept is 75.

Step-by-step explanation:

Use two points from the table, and find the equation of a line given two points.

Point 1: (1, 105)

Point 2: (3, 165)

y = mx + b

slope = m = (y_1 - y_1)/(x_2 - x_1)

m = (165 - 105)/(3 - 1) = 60/2 = 30

y = 30x + b

Use point (1, 105) for x and y.

105 = 30(1) + b

105 = 30 + b

b = 75

y = 30x + 75

The slope is 30, and the y-intercept is 75.

Answer:

\(w = 5\pi\)

Step-by-step explanation:

Not sure if it wants an integer as an answer but:

Step 1 - Move the negative 3π to the right.

\(-3\pi + w = 2\pi \\w = 2\pi + 3\pi\)

Step 2 - Simplify by adding together

\(w = 5\pi\)

Hope this helps!

Substitute -6 for a, 14 for b and 7 for c in the exprerssion a(b-c) to ontain the value of expression.

So answer is -42.

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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Answer:

9.92

Step-by-step explanation:

8.63 x 1.15=9.92

Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

The probability that all four members of the search committee will be women is 1.42%.

Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:

Therefore, the probability that all four members of the search committee will be women is 1.42%.

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Answer:

Its a function

Step-by-step explanation:

The ansswer is B

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

26.5ft

Step-by-step explanation:

Consider:

AB=25 ft

BC =9 ft

AC=?ft

\((AB)^2 + (BC)^2 = (AC)^2\\25^2+ 9^2=(AC)^2\\(AC)^2= 625+81\\\)

AC=√706

AC=26.5 ft

Hope this helps! :)

Answer:

k = 4

Step-by-step explanation:

y = kx. When x = 2, y = 8

8 = 2k

\(\frac{8}{2}\) = \(\frac{2k}{2}\)

4 = k

Answer:

(6, -3)

Step-by-step explanation:

You can graph the point and jump to the correct midpoint, or you can use the midpoint formula, (\(\frac{x1+x2}{2} , \frac{y1+y2}{2}\)). Find x1, x2, y1, and y2 from (10,-5) and (2, -1).

Answer: (6,-3)

Step-by-step explanation: you need to use the midpoint formula, which is (x1+x2)/2, (y1+y2)/2. With that, you just need to put in the points correspondingly. Do (10+2)/2 which is 6, and (-5+(-1))/2 which is -3. The midpoint then is (6,-3)

The required coordinate vector of p(t) = -1 + 15t - 6t^2 relative to B is [2, -2, 3].

The basis for P2 as B = {1 - 4t2, 2 - t, 1 + t - t2}.We need to find the coordinate vector of p(t) = -1 + 15t - 6t2 relative to the basis B of P2.Coordinate vector relative to B means expressing p(t) as a linear combination of the basis vectors, and then finding the scalars (coefficients of the linear combination) and arranging them in a column vector.Consider the vector space P2 consisting of all polynomials of degree less than or equal to 2.Let p(t) be an arbitrary element of P2. Then we need to express p(t) as a linear combination of the given basis vectors, i.e.,p(t) = c1(1 - 4t^2) + c2(2 - t) + c3(1 + t - t^2)where c1, c2, and c3 are scalars. Equating the coefficients of the corresponding powers of t, we get-1 = c1 + 2c2 + c315 = -4c1 - c27 = c1 + c2 - c3Therefore, solving the above equations for c1, c2, and c3, we getc1 = 2, c2 = -2, and c3 = 3.Now, the coordinate vector [P]b of p(t) relative to B is given by[P]b = [2, -2, 3]Hence, the required coordinate vector of p(t) = -1 + 15t - 6t^2 relative to B is [2, -2, 3].Answer: [2, -2, 3].

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Answer:

D. x > -3 and x < 1

Step-by-step explanation:

There is an absolute value in this inequality, so we have to solve for 2 instances -- where the quantity in the absolute value is positive, and where it is negative.

First, we will isolate the absolute value by dividing by 3:

3|x + 1| < 6

|x + 1| < 2

Then, because this is a less-than case of the absolute value, we can put it in between the positive and negative absolute values of the other side:

-|2| < x + 1 < |2|

-2 < x + 1 < 2

and solve.

-3 < x < 1

(this can also be written as x > -3 and x < 1)

Answer:

1377.76x

Step-by-step explanation:

Simplify 1264*1.09

Answer:

1377.76x

(give the person above the crown)

Answer:

(6-2)×180 = 720

101+154+72+123+145+x=720

595 + x = 720

x = 720-595

x= 125

A month with 31 days has 4 full weeks and 3 days. This means that we can have either 4 Mondays and Wednesdays in the full weeks, or 5 Mondays and Wednesdays if we include the last 3 days of the month.

To calculate this, let's break it down step by step.

First, we know that a week has 7 days. So, 4 full weeks would have 4 * 7 = 28 days.

Next, we subtract the 28 days from the total of 31 days: 31 - 28 = 3. This gives us the remaining 3 days after the 4 full weeks.

Now, we have two scenarios to consider:

Scenario 1: 4 Mondays and Wednesdays in the full weeks.

In this case, we can select any 4 days out of the 7 days in a week to be Mondays and Wednesdays. The remaining 3 days will be different days of the week.

Scenario 2: 5 Mondays and Wednesdays, including the last 3 days.

In this scenario, the last 3 days of the month will be Monday, Tuesday, and Wednesday. The rest of the days in the month will be spread out across the previous 4 weeks.

A month with 31 days can have either 4 full weeks with 4 Mondays and Wednesdays, or 5 Mondays and Wednesdays by including the last 3 days. The distribution of days will depend on the specific dates of the month.

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The sum of 3/7 and 1/3 =  16/21

It can be found by first finding a common denominator, which in this case is 21. Then, the numerators can be added together to find the sum.

To find the common denominator: The least common multiple of 7 and 3 is 21.

Multiply the numerators by the factor needed to get the common denominator:

3/7 becomes 9/21 and 1/3 becomes 7/21.

Add the numerators together: 9/21 + 7/21 = 16/21

Simplify if possible: 16/21 cannot be simplified further.

Therefore, the sum of 3/7 and 1/3 is 16/21.

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If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

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Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Answer: To find the distance a person can see to the horizon when they are 1,000 feet above sea level, we can substitute h = 1000 into the formula d = radical 3h/2

d = radical 3(1000)/2 = radical 3(1000*2) = radical 6000

d = radical 6000 = 77.46 miles

So if a person is 1,000 feet above sea level, they can see 77.46 miles to the

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

Answer:

original price was $8

Step-by-step explanation:

Ashley buy a hamster wheel during the sale (25% off). If Ashley pay $6, what was the original price?

$6 = 75% of price

75% = 0.75

6 = 0.75x

divide both sides by 0.75:

6/0.75 = 0.75x/0.75

x = 8

original price was $8

Answer:

j= -0.4

Step-by-step explanation:

multiply both sides by 60

=45j(+12)=30-12

take the 12 ti the right hand side and the sign changes

= -45j=18 then divide by 45 on both sides

j= -2/5

j= -0.4

Answer:

\(3(x + 4) = 3x + 12\:\boxed{\tt Yes}\)

\((4 + 8) = 24 + 28\:\boxed{\tt No}\)

\(x(5 + 5) = 5x\:\boxed{\tt Yes}\)

\(7(1 + 9) = 7 + 9\:\boxed{\tt No}\)

\(6(2 + 1 + 5) = 12 + 6 + 30\:\boxed{\tt No}\)

\(7(5 - 4) = 35 - 28\:\boxed{\tt No}\)

~

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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Answer:

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

The probability of getting both balss green without replacement is 0.27778

Step-by-step explanation:

If the balls are not replaced then this is the dependent event .

The probability of getting the first ball is given be = 5/9

where 5 is the number of green balls and 9 is the total number of balls.

The probability of getting the second ball green given that first is also green is  = 5/9* 4/8= 20/72= 0.2778

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

0 means there can be no green balls or white balls.

1 means there can be one green ball.

2 means there can be 2 green balls and so on.

In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:

the chance of the event is 0.2778%

So organizing the information given in the statement is:

So with this information we can write that:

\(5/9* 4/8= 20/72= 0.2778\)

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Answer:

12 inches

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

10w + 4x

10 (9) + 4 (5)

90 + 20

110

The answer is 110.

Hope it helps!

Have a nice day:)