3. (4 points each) Evaluate the following integrals. No answer should be written as a decimal. Express all fractions in lowest terms, not as a mixed fraction. a sec? x dx -/4 b. (u? + 3u - 1)du a. S (

Answer:

18.165902124585

Step-by-step explanation:

If the length of a rectangle is 7 centimeters less than five times its width, the dimensions of the rectangle are 2 cm × 3 cm.

Let x be the width of the rectangle in centimeters. Then, the length of the rectangle is 5x - 7 centimeters.

The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is 6 square centimeters, so we can set up the equation:

6 = (5x - 7)x

Expanding the expression on the right side, we get:

6 = 5x² - 7x

Moving all terms to one side, we obtain:

5x² - 7x - 6 = 0

We can now solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 5, b = -7, and c = -6.

Plugging in these values, we get:

x = (7 ± √(7² - 4(5)(-6))) / 2(5)

x = (7 ± √(169)) / 10

x = (7 ± 13) / 10

The two possible values for x are x = 2 and x = -1/5. Since the width cannot be negative, we reject the negative solution and conclude that the width of the rectangle is 2 centimeters. Therefore, the length of the rectangle is 5(2) - 7 = 3 centimeters.

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Answer:

Step-by-step explanation:

where is the prism???

   i can't answer without seeing the question

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

Answer:

I think it's 6.9282032302755

Answer:

1,3,4,5 (2 and four I can't make out what the notations are)

Step-by-step explanation:

Any equation that has a constant slope is a linear equation.

1 has a slope of 8/3

3 has a slope of 5

4 and 5 have a slope of 0

2 looks to be some form of absolute value equation and therefore is in the shape of a V and not a straight line.

6 looks to be an equation with an exponent as part of a term and will have a gradually decreasing slope (decreasing because of the negative 4)

Answer:

2 seconds later

Step-by-step explanation:

Since the required equation is lacking, let the equation modeled by the height be expressed as y = -16t² + 64

The ball hits the ground at y =0. Substitute y = 0 into the expression and find t;

Since y = -16t² + 64

0 =  -16t² + 64

16t² = 64

t² = 64/16

t² = 4

t = ±√4

t = 2 and -2

Time cannot be negative, hence the ball hits the ground 2 seconds later.

Note that the equation used was assumed. Similar solution can be applied for any given equation.

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

A

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

27.8/37 = x/7

37x = 194.6

x=5.25

x=5.3

Answer: the answer is A

Step-by-step explanation:

hope it helps

We want to write an function that relates the number of blocks south of school that she is to the number of minutes that she has been walking.

The function is: y = (1 block/minute)*x + 8 blocks

A general linear function is:

y = a*x + b

where a is the slope and b is the y-intercept.

First, we do know that she lives 8 blocks south of her school, so the y-intercept of the linear function will be 8 blocks (the point where she starts).

Now we know that her friend lives farther south, so she moves south, at a velocity of 1 block per minute.

Then the linear function is:

y = (1 block/minute)*x + 8 blocks

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Answer:

m and 125º are supplementary angles:

m + 125º = 180º

m = 180º – 125º

m = 55º  <———    this is the answer.

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

d, they are both parameters because they mean allllll the juniors and seniors, not just pulling out a few and taking a sample

Step-by-step explanation:

Answer:

The answer is "D".

Step-by-step explanation:

3.45 is a parameter and 3.62 is a parameter.

Answer:

1 and 5

2 and 6

3 and 7

4 and 8

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.

The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.

The given conversion is ;

\(\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet\)

For 8, 12 inches, the values in feet is;

\(\rm 8 \times \frac{1.5}{2} = 6 \ feet\)

\(\rm 12 \times \frac{1.5}{2} = 9 \ feet\)

Hence, the value of the a and b will be 6 and 9 feet.

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The value a= 6 and b=9.

The process of converting the unit form is known as the unit conversion.

For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.

Given that:

2 inch = 1.5 feet

1 inch = \(\frac{1.5}{2}\)

then, 8 inches =\(\frac{1.5}{2} *8\)

                        = 1.5*4

                        = 6 feet

again, 12 inches= \(\frac{1.5}{2} *12\)

                          = 1.5*6

                         = 9 feet

and, 16 inches =\(\frac{1.5}{2} *16\)

                          = 1.5*8

                          = 12 feet

The value of a & b is 6 and 9 respectively.

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Answer:

$104,750

Step-by-step explanation:

we just add 101,00 and 3,750 together since they are both being financed

Hopes this helps please mark brainliest

We can expect 30 guests to receive free admission out of the 1500 guests expected this weekend.

To determine how many guests can be expected to receive free admission, we need to use the given information about the ratio of guests with coupons to guests without coupons. We can do this by setting up a proportion and solving for the unknown variable.

Let x be the number of guests we can expect to receive free admission.
1/50 = x/1500

Cross-multiplying gives us:
50x = 1500

Dividing both sides by 50 gives us:
x = 30

Therefore, we can expect 30 guests to receive free admission out of the 1500 guests expected this weekend.

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Answer:

Maximum daily revenue = $2,249,600

Step-by-step explanation:

If you approach this problem with a trail and error mindset you can quickly calculate that if you take an increase of $6  per ticket or $76 per ticket, then subtract the equivalent loss of visitors which would be 800 * 3 or 2,400 then you get 29,600 visitors. By simply multiplying this number by the cost of the tickets you achive  2,249,600 daily. This could be wrong as I did not use a formula.    

Answer:

1620

Step-by-step explanation:

If a number decreased by 95% is 81, then

5% is 81.

So, the number = 100/5 x 81= 20 x 81 = 1620

Hope this helps

Answer:

the answer is 1620

Step-by-step explanation:

Answer:

\({\frac{1}{x^{\frac{5}{3} } }\)

Step-by-step explanation:

Apply exponent rule:  \(a^{-b}=\frac{1}{a^{b}}\)

So:  \(x^{-\frac{5}{3}}={\frac{1}{x^{\frac{5}{3} } }\)

Answer:

1 / 3 sqrt x^5

Step-by-step explanation:

aka B on edge

Answer: 90 players.

Step-by-step explanation:

Since we are informed that in a survey of a random sample of 50 players, 3 players were hurt. This gives a fraction of 3/50 for those that are hurt.

Therefore, in a survey of 1500 players, the number of players expected to be hurt will be:

= 3/50 × 1500

= 90

The events are dependent, because the outcome of the first one is affecting the outcome of the second draw.

If you look at the diagram, you can see that if the first outcome is Y (for example) then "Y" can't be an outcome for the second draw.

This means that there is a single yellow gumballs (assuming that we won't replace it after the first draw).

Then, if the first event is drawing the yellow one, then the probabilities of drawing the other colors changes in the second draw.

And the same thing happens for all the other outcomes in the diagram. This means that the events are dependent, because the outcome of the first one is affecting the outcome of the second one.

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The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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Answer:

The first graph

Step-by-step explanation:

the dots go down

The first graph is showing a negative correlation so option (A) will be correct.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

A negative correlation means the value of the function is decreasing as an independent variable is increasing.

So the slope of the negative correlation graph is always negative.

Hence "The first graph is showing a negative correlation".

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Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

\(y= 4x + 9\)

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

\(y= 4x + 9\)

\(y=4(2)+9\)

\(y=8+9\)

\(y=17\)

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

\(y= 4x + 9\)

\(y=4(3)+9\)

\(y=12+9\)

\(y=21\)

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

Answer:

c

Step-by-step explanation:

The iterated integral in polar coordinates will be:

∬R fdA = ∫c^d ∫a^b f(r,θ) r dr dθ.

Since the problem does not provide a specific description or image of the region R, I am unable to determine the values of a, b, c, and d. However, I can explain the general process of setting up an iterated integral in polar coordinates.

In polar coordinates, the differential area element is given by dA = r dr dθ, where r represents the radial distance and θ represents the angle.

To write the double integral in polar coordinates, you need to determine the limits of integration for r and θ.

The integral limits for r will depend on the boundaries of the region R in the radial direction. These limits can be expressed as a ≤ r ≤ b.

The integral limits for θ will depend on the boundaries of the region R in the angular direction. These limits can be expressed as c ≤ θ ≤ d.

Please provide a more specific description or image of the region R in order to determine the values of a, b, c, and d, as well as the differential element dA.

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For the region R below, write ∬R​fdA as an iterated integral in polar coordinates. With a= ___ , b=___, c=______ and d= ______. ∬R​fdA=∫ab​∫cd​fdA, where dA= ____ d___ d____