9. [10] Evaluate the line integral Sc xy4 ds, where is the right half of the circle x² + y2 = 9.

The height of the triangular face is 15 yards.

To find the height of the triangular face, we will use the formula for the volume of a triangular prism:
Volume = (1/2) * Base * Height * Length.

We are given the following values:
- Volume (V) = 720 cubic yards
- Length (L) = 8 yards
- Base (B) = 12 yards
We need to find the height of the triangular face (H).

Let's plug in the given values into the formula and solve for H:
720 = (1/2) * 12 * H * 8
First, simplify the equation:
720 = 6 * H * 8
720 = 48 * H
Now, divide both sides by 48 to find the value of H:
H = 720 / 48
H = 15 yards.

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Answer:

your answer is attached above

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Answer:

58,60,62...

Step-by-step explanation:

Formula: Sn=n/2(2a+(n-1)d)

Sn=2, a=1, d=56

> S2=2/2(2(1)+(2-1)56)

> S2=1(2+56)

> S2=1(58)

> S2=58

58+2=60

60+2=62

The complete question may be like:

A gardener is trimming a hedge in a rectangular garden using a diagonal pattern. The garden measures 15 feet by 30 feet. How many total linear feet will the gardener trim if they follow the diagonal pattern to trim all sides of the hedge?

The gardener will trim a total of 90 linear feet when using a diagonal pattern to trim all sides of the hedge in the rectangular garden.

To find the total linear feet the gardener will trim when using a diagonal pattern to trim all sides of the hedge in a rectangular garden, we need to determine the length of the diagonal.

Using the Pythagorean theorem, we can calculate the length of the diagonal:

Diagonal = √(Length^2 + Width^2)

Diagonal = √(15^2 + 30^2)

Diagonal = √(225 + 900)

Diagonal = √1125

Diagonal ≈ 33.54 feet

Since the diagonal pattern follows the perimeter of the rectangular garden, the gardener will trim along the four sides, which add up to twice the sum of the length and width of the garden:

Total Linear Feet = 2 * (Length + Width)

Total Linear Feet = 2 * (15 + 30)

Total Linear Feet = 2 * 45

Total Linear Feet = 90 feet

Therefore, the gardener will trim a total of 90 linear feet when using a diagonal pattern to trim all sides of the hedge in the rectangular garden.

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The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

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What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

There are 87 fewer fish in small school compared to big school.

We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.

This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.

Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?

Given,

Number of fish in small school = 25

Number of fish in big school =  112

then,

Number of fewer fish does small school have 112 -25 = 87

Thus, there are 87 fewer fish in school than big school.

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Answer:

45

Step-by-step explanation:

5(4(2)+ 1²)

5(8 + 1²)

40 + 5

45

Answer:

x = 1/2

x = -3

Step-by-step explanation:

\(f(x)=2x^2+5x-3\)

Factor

Zero Product Property

X-Intercepts

____________________

To find the x intercepts, we need to first factor our given polynomial. The quickest trick I use to factor is to find two numbers that multiply to c (in this case -3) and the same two numbers that add to b (in this case 5).

The two numbers would be -1 and 3, but along with 2x to help out.

Therefore the binomial for this factor is :

\((2x-1)(x+3)\)

Now to solve the x-intercepts, we separate the binomials into an algebraic expressions :

2x - 1 = 0

x + 3 = 0

Isolate for x in both of them :

2x - 1 = 0

Add 1 to both sides :

2x = 1

Divide both sides by 2 :

x = 1/2

x + 3 = 0

Subtract 3 from both sides :

x = -3

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

6 days

Step-by-step explanation:

The computation of the number of days to complete the entire order of purses is shown below:

As according to the question

It takes 2 by 3 for complete of 1 by 9 of a purses order

So the number of days that need to complete the entire order is

\(= \frac{2}{3} \times \frac{9}{1}\\\\= 6\ days\)

Answer:

The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.

Step-by-step explanation:

In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.

Answer:

The shaded area would reverse on both inequalities.  

The graphs do not overlap until the signs are reversed.  

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Step-by-step explanation:

edge 2021

Answer:

OP question dude..

Step-by-step explanation:

Over Powered

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

\(\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}\)

The correct statements regarding activity diagrams are:

a. There can be multiple end points, but only one starting point.

c. A branch can have multiple incoming arrows.

d. A decision point may have more than 2 outgoing arrows.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

f. An activity can be nested within another activity.

Activity diagrams are graphical representations used in software engineering to depict the flow of activities or actions within a system. The correct statements regarding activity diagrams are as follows:

a. There can be multiple end points, but only one starting point:

Activity diagrams typically illustrate the flow of activities from a single starting point to multiple end points. This allows for depicting different termination points in the system's behavior.

c. A branch can have multiple incoming arrows:

A branch in an activity diagram represents a decision point where the flow of activities can diverge. It is possible for multiple incoming arrows to converge at a branch, indicating different paths leading to the decision point.

d. A decision point may have more than 2 outgoing arrows:

A decision point in an activity diagram represents a condition or a decision that determines the subsequent flow of activities. It is possible for a decision point to have more than two outgoing arrows, indicating different paths based on the decision outcome.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions:

In an activity diagram, if the subsequent activities following a certain action have conditions that are not mutually exclusive, it creates an indeterminacy. This means that multiple paths may be followed simultaneously based on the different conditions.

f. An activity can be nested within another activity:

Activity diagrams support the nesting of activities within each other. This allows for representing complex activities or sub-processes within a larger activity, providing a hierarchical structure to the diagram.

In conclusion, the correct statements regarding activity diagrams include multiple end points and a single starting point, the possibility of multiple incoming arrows at a branch, the presence of more than two outgoing arrows at a decision point, the creation of indeterminacy with non-mutually exclusive conditions, and the ability to nest activities within one another.

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We are interested in the activity diagram. Check all the correct answers.

Please select at least one answer.

O a. There can be multiple end points, but only one starting point.

O b. Any joint must have been preceded by a branch.

O c. A branch can have multiple incoming arrows.

O d. A decision point may have more than 2 outgoing arrows.

Oe. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

Of. An activity can be nested within another activity.

Answer:

0

Step-by-step explanation:

50-(14+12+2 (5+2 (2)+3)

50-(28 (7 (2)+3)

50-(28 (14+3)

50-(28×17)

50-476

426

Answer:

11.333 infinity

Step-by-step explanation:

when you divide 34 by 3 you then get 11.3 infinity which would also be a repeating decimal

To minimize costs while meeting the constraints, the optimal solution is to use 13 pounds of deluxe coffee and at least 43 pounds of regular coffee in the blend. This ensures that the minimum cost is achieved while satisfying the quantity requirements.

To solve the optimization problem step by step, let's follow the steps again

Start by considering the constraint x ≥ 13. Since we want to have at least 13 pounds of deluxe coffee, we can set x = 13.

Substitute this value of x in the first constraint: 13 + y ≥ 56. Solve for y:

13 + y ≥ 56

y ≥ 56 - 13

y ≥ 43

This means that y should be greater than or equal to 43 pounds.

We have x = 13 and y ≥ 43. These values satisfy both constraints.

Therefore, to minimize costs, we should use 13 pounds of deluxe coffee and at least 43 pounds of regular coffee.

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--The given question is incomplete, the complete question is given below "deluxe coffee is to be mixed iwth regular coffee to make at least 56 pounds of a blended coffee. the mixture must contain at least 13 pounds of deluxe coffee. deluxe coffee costs 4 perpound and regular coffee 3 per pound. how many pounds of each kind of coffee should be used to minimize costs? To attain the minimum cost, use pounds of deluxe coffee and pounds of regular coffee."--

Answer:

Step-by-step explanation:

let (x,y) be any point on the locus.

Then

\(\sqrt{(x-1)^2+(y-6)^2} =7\\or\\(x-1)^2+(y-6)^2=49\\which ~is~a~circle.\)

Answer:

The smallest possible value of Pr{X = 3} is  U = 0

Step-by-step explanation:

  The number of trial is  n = 3

  The mean is  E(X) = 1.8

Gnerally given that every probability value lies between 0  and 1 ,

let U be the smallest possible value of  Pr{X = 3}

it then mean that U= 0 because in the range which probability values can take , the smallest value is  zero

So

     The smallest possible value of Pr{X = 3} is  U = 0

The standard error measures the variability of the sample mean from the true population mean. It represents the standard deviation of the sampling distribution of the mean and gives an estimate of how much the sample means will vary from one sample to another.

b. When calculating the standard error of the mean, we assume that the sample was randomly selected from the population, and that the sample size is large enough (usually, n > 30) for the central limit theorem to apply.

c. To reduce the standard error of their estimate of the mean home range size, researchers could increase the sample size, which will decrease the standard error by reducing the variability of the sampling distribution of the mean.

Alternatively, they could improve the precision of their measurements or reduce measurement errors to decrease the standard deviation of the sample, which will also decrease the standard error.

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To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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The largest a bedroom can be and still be among the smallest 20% of bedrooms in a home is around 271 square feet.

To understand this answer, we have to use the concept of standard deviation, which is a measure of how spread out the data is from the mean. In this case, the average area of a bedroom is 219 square feet, with a standard deviation of 32.5 square feet. To calculate the 20th percentile, we need to find the value of X such that P(X < x) = 0.20, where P(X < x) is the cumulative distribution function of X.

We can use a standard normal table to find the Z-score corresponding to 0.20 and then convert it back to the original scale. The Z-score for 0.20 is -0.84. Therefore, x = 219 + 32.5 * (-0.84) = 271, which is the largest a bedroom can be and still be among the smallest 20% of bedrooms in a home.

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The pharmacist should use 5.25 ounces of 1% hydrocortisone ointment and 1.75 ounces of 5% hydrocortisone ointment.

Let x be the number of ounces of 1% hydrocortisone ointment required and y be the number of ounces of 5% hydrocortisone ointment required to make a 7-ounce tube of 2% hydrocortisone ointment.

Since we want a total of 7 ounces of ointment, we have the equation:

x + y = 7

We also know that the amount of hydrocortisone in the final ointment must be equal to 2% of 7 ounces, or 0.14 ounces. The amount of hydrocortisone in x ounces of 1% ointment is 0.01x ounces, and the amount of hydrocortisone in y ounces of 5% ointment is 0.05y ounces. So, we have the second equation:

0.01x + 0.05y = 0.14

To solve for x and y, we can use the method of substitution. Rearranging the first equation to solve for x, we get:

x = 7 - y

Substituting this expression for x into the second equation, we get:

\(0.01(7 - y) + 0.05y = 0.14\)

Simplifying and solving for y, we get:

0.07 - 0.01y + 0.05y = 0.14

0.04y = 0.07 - 0.14

0.04y = -0.07

y = -0.07/0.04

y = -1.75

This negative value for y doesn't make sense, so we need to check our work. We made a mistake in the equation above, the correct equation should be:

0.01x + 0.05y = 0.02(7)

0.01x + 0.05y = 0.14

Using this corrected equation, we can solve for y:

0.01x + 0.05y = 0.14

0.05y = 0.14 - 0.01x

y = (0.14 - 0.01x)/0.05

Substituting this expression for y into the first equation, we get:

x + (0.14 - 0.01x)/0.05 = 7

Multiplying both sides by 0.05 to eliminate the denominator, we get:

0.05x + 0.14 - 0.01x = 0.35

0.04x = 0.21

x = 5.25

So, the pharmacist should use 5.25 ounces of 1% hydrocortisone ointment and 1.75 ounces of 5% hydrocortisone ointment to make a 7-ounce tube of 2% hydrocortisone ointment.

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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The amount that Sarah's parent owe the bank now, will be the value of the loan which is $76, 800.

The amount owed to a bank is the money that one either borrowed from the bank, or owes the bank for services such as overdraft or maintenance fees.

In this case, the amount of Sarah's parents will owe to the bank is the amount that they took as a loan which is $76, 800. The money in their account is still there's unless they default on paying off the loan.

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Answer:

Se necesitan 20 toneladas de acero A, mientras que se necesitan 50 toneladas de acero B

Step-by-step explanation:

Deje que la cantidad de acero A sea xy la cantidad de acero B sea y.

Queremos obtener 70 toneladas del nuevo metal, por lo tanto;

x + y = 70 •••••••••• (i)

Ahora, nuestro porcentaje final es del 30%

Esto significa que; x (5%) + y (40%) = 70 (30%)

Esto significa; 0.05x + 0.4y = 21 •••••••• (ii)

Entonces resolvemos ambas ecuaciones simultáneamente.

De i, x = 70-y

Sustituir esto en la ecuación ii

0.05 (70 años) + 0.4y = 21

3.5-0.05y + 0.4y = 21

0.35y = 21-3.5

0.35y = 17.5

y = 17.5 / 0.35 = 50 toneladas

Recordar; x = 70-y

x = 70-50 = 20 toneladas.

Answer:

30 cents

Step-by-step explanation:

If you divide 1.50 by 5 you get .30 and if you divide 2.40 by 8 you also get .30 keep smiling, have a good day

The constant of proportionality that relates to the cost per can is $0.3.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, At a grocery store, Mary bought five cans of corn and paid $1.50.

Therefore, The cost of each can is,

= $(1.50/5).

= $0.3.

And,  Larry bought 8 cans of corn and paid $2.40.

Therefore, The cost of each can is,

= $(2.40/8).

= $0.3.

So, The constant of proportionality is $0.3.

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9514 1404 393

Answer:

Step-by-step explanation:

A unit rate is a ratio. When dollars are involved, we usually want dollars in the numerator. When time is involved, we usually want time in the denominator.

__

rice: $9/(1.5 kg) = (9/1.5) $/kg = $6/kg

__

growth: (350 people)/(7 years) = (350/7) people/year = 50 people/year

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer:

350

Step-by-step explanation:

350 because there are 1/12 of VIP seats and there are 600 so 600 times 1/12 is 6,600.

Then you minus off the 600 VIP seats so you get 6000

next you do 600 divided bu 12 because of the 1st tier seats and 2nd tier seats combined which then you get 50

lastly you do 50 times 7 because of the ration 7:5 1st tier seats to 2nd tier seats so then you get 350

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