determine if the line integral of the vector field sketched in the figure along the curve c is positive, negative, or zero.

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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The average rate of change is equivalent to 2.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is the table as shown below -

[x] :  0  1  2  3  4

[y] :  -2 -3 1  3  6

The rate of change in the interval 0 < x < 4 is -

AROC = (6 + 2)/(4 - 0)

AROC = 8/4

AROC = 2

Therefore, the average rate of change is equivalent to 2.

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Answer:

y = (6/5)x + 29/5

Step-by-step explanation:

To avoid confusion please enclose the fractional exponent inside parentheses:  y= -5/6x +3 =>  y= (-5/6)x +3

The new line is to be perpendicular to the given line (above).  The slope of this new line must be the negative reciprocal of (-5/6), which is (6/5).

Usig the slope-intercept formula, we get y = mx + b, or

1 = (6/5)(-4) + b

The LCD here is 5.  Multiplying all 3 terms by 5, we get:

5 = 6(-4) + 5b, or

5 = -24 + 5b, or

5b = 29

Then b = 29/5, and the desired equation is:

y = (6/5)x + 29/5

The profession that is projected to have the greatest percent of increase in the number of jobs from 2006 to 2016 is B. sound engineer technician.

The increase in percentage for orthodontist will be:

= (10214 - 9206) / 9206 × 100

= 1008 / 9206 × 100

= 10.95%

The increase in percentage for sound engineer will be:

= (17864 - 16125) / 16125 × 100

= 1739/16125 × 100

= 10.79%

The increase in percentage for police officer will be:

= (719041 - 648982) / 719041 × 100

= 70059/719041 × 100

= 9.74%

The increase in percentage for editor will be:

= (124135 - 122273)/124135 × 100

= 1862/124135 × 100

= 1.5%

Therefore, the sound engineer has the greatest percentage increase.

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Answer:

sound engineer

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

It's a right triangle.

Answer: HL

Step-by-step explanation: because they are right triangles

Answer:

Then why are you even doing that?

Step-by-step explanation:

Answer:

{g,h} = {-9/5,32/5}

Step-by-step explanation:

h = 2g + 10

3g + (2g+10) = 1

[1]    5g = -9

5g = - 9  

g = - 9/5

g = -9/

h = 2g+10

h = 2(-9/5)+10 = 32/5

{g,h} = {-9/5,32/5}

Answer:

Number of different options for Ms. Garcia are

3 * 2 * 8 = 48

So 48 options

Step-by-step explanation:

There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)

The metric unit from pounds to tons is 250 pounds = 0.125 tons

From the question, we have the following parameters that can be used in our computation:

250 pounds = how many tons

As a general rule, we have

1 pound = 0.0005 tons

Multiply both sides of the equation by 250

So, we have

250 * 1 pound = 0.0005 tons * 250

Evaluate the products

250 pounds = 0.125 tons

Hence, the conversion is 250 pounds = 0.125 tons

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The relation has a domain of { x | -4 ≤ x ≤ 4 }.

The domain is the set of all "x" values, whereas the range is the set of all "y" values in an ordered pair. Remember that the following symbols are used to denote ordered pairs: (x, y). reviewing a set of matched pairings in order.

The set of all possible inputs is the domain of a function. For instance, all real integers other than x=0 are in the domain of f(x)=x2 and g(x)=1/x, respectively.

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Answer:

plz mark as brainliest

Step-by-step explanation:

$7.9

Answer:

18,176

Step-by-step explanation:

Figure out an easier thing to do: 1000 - 2021 = 9,797.

Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 =  18,176.

Answer:

8 Hours

Step-by-step explanation:

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

\(\frac{220}{5}x=352\)

Multiply both sides by 5

\(220x=1760\)

Divide both sides by 220

\(x=8\)

Therefore it would take 8 hours.

8 Hours long would it take to travel 352 miles,

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined. The SI unit system is most frequently used to express speed units. In that system, since distance is measured in metres and time is measured in seconds, speed is expressed in metres per second, or m/s. Three components make up the speed formula: distance, time, and speed.

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

Multiply both sides by 5

Divide both sides by 220

Hence, it would take 8 hours.

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You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

12

Step-by-step explanation:

2/4 of 24

24÷4=6

6×2

=12

A function that satisfies the condition of having its square plus the square of its derivative equal to 1 is given by f(x) = sin(x).

The function f(x) = sin(x) has the property that its square, sin^2(x), is equal to 1 when added to the square of its derivative, \($\frac{d}{dx}\sin(x))^2 = \cos^2(x)$\).

This can be seen by directly evaluating the expression: \(sin^{2}(x) + cos^{2}(x) = 1\), which is a fundamental identity in trigonometry.

The sine function is periodic with a period of 2π, and its derivative, cosine function, also has the same period. This means that for any x, the function sin(x) and its derivative cos(x) will satisfy the given condition.

Geometrically, the sine function represents the y-coordinate of a point on the unit circle as the corresponding angle is varied. Its derivative, the cosine function, represents the rate of change of this y-coordinate with respect to the angle. The squares of the sine and cosine functions add up to 1, which is the square of the radius of the unit circle. This property is fundamental in trigonometry.

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Answer:

60%

Step-by-step explanation:

30/50=.60

.60=60%

Answer:

60%

Step-by-step explanation:

Step-by-step explanation:

The ratio of child tickets to adult tickets is 8 : 1.

It means for each adult ticket the number of child tickets is 8 times more.

On Saturday they sold 147 adult tickets, so the number of child tickets is:

The ratio adult : child, as per picture:

Total tickets sold, add up child and adult ticket numbers:

Ratio is 8:1

Total adult tickets=147

Total child tickets

Total tickets

The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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Answer:

The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20

Step-by-step explanation:

Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.

Hoped this help :)

Therefore, you would need to make 2 batches in order to have enough cookies to make 20 cookies.

If one batch of a recipe makes 12 cookies and you need to make 20 cookies, you can determine the number of batches needed by dividing the total number of cookies needed by the number of cookies in each batch.

Number of batches = Total number of cookies needed / Number of cookies in each batch

Number of batches = 20 / 12

Number of batches ≈ 1.67

Since you cannot make a fraction of a batch, you would need to round up to the nearest whole number.

= 2

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The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Answer:

I can explain.  The answer is A

Step-by-step explanation:

Think of it this way: when you write a mixed number, the fraction is out of 100.    If the denominator is 8, find 1/8 of 100 by doing 100 divided by 1/8.  This gives you 12.5.  The entire fraction is 2/8, so we need to multiply 12.5 by 2, since it's only 1/8.  12.5 x 2 gives us 25.  In the decimal, this would be equal to .25.  A is the only answer that represents the mixed number as a decimal correctly.

The number line that models the total amount of time Ava will practice piano in all is shown in the figure and  Ava will practice piano for a total of 6 hours.

We can model the total amount of time Ava will practice piano in all using a number line. Since she practiced for 3 hours yesterday and is going to practice for another 3 hours today, we can represent this on a number line as follows:

The number line above represents the total amount of time Ava will practice piano in all. The first mark (0) represents the starting point, which is when she has not started practicing yet. The second mark (3) represents the time she spent practicing yesterday, and the third mark (6) represents the time she will spend practicing today. The distance between the first mark and the third mark (0 to 6) is the total amount of time Ava will practice piano in all, which is 6 hours.

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Answer:

d= -125

Step-by-step explanation:

Add 2 to 23

-d/5 < 25

Multiply 5

-d< 125

Divide by -1

d<-125

Change it to equals

d= -125