The cost for 3.6 pounds of shrimp is $19.62. Find the unit price in dollars per pound. If necessary, round your answer to the nearest cent.

Answer:

The maximum profit is $854

Step-by-step explanation:

Profit is the difference between the revenue and the cost price of an item. It is given by:

Profit = selling price - cost price

Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:

y = -3x² + 155x - 1148

At maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 155

0 = -6x + 155

6x = 155

x = 25.83

The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:

y = -3(25.83)² - 155(25.83) - 1148

y = $854

Therefore the maximum profit is $854

Answer:

Step-by-step explanation:

(9-5+X)+ (39+211)

whats the Solution?

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Answer:

254 + x

Step-by-step explanation:

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Hope this helps

:)

Given:

The endpoints of MN are located at M (-4, 4) and N (2,-2).

Point P divides the line segment MN such that MP: PN = 2: 1

To find:

The coordinates of point P.

Solution:

Section formula: If a point divides a line segment in m:n, then coordinates of that point are

\(Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

Point P divides the line segment MN in 2:1. So,

\(P=\left(\dfrac{2(2)+1(-4)}{2+1},\dfrac{2(-2)+1(4)}{2+1}\right)\)

\(P=\left(\dfrac{4-4}{3},\dfrac{-4+4}{3}\right)\)

\(P=\left(\dfrac{0}{3},\dfrac{0}{3}\right)\)

\(P=(0,0)\)

Therefore, the coordinates of the point P are (0,0).

Answer:

Step-by-step explanation:

the measure of LKO is LKN +NKO

plug in the values to get 90 +25

therefore the answer is 115 which is D

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \(\sf \boxed{\bf \angle 1 = 52^ \°}\)

AB // CD and AC is transversal.

 \(\sf \boxed{\bf \angle 3 = 38^\circ}\)   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \(\sf \boxed{\bf \angle 2 = 79^ \°}\)

There are 4 ice cream flavors :

chocolate (c), vanilla (v), moos tracks (m), and dark chocolate (d).

There are 3 types of sauces :

hot fudge (h), butterscotch (b), and strawberry (s).

There are 2 types of toppings :

whipped cream (w) and fruit (f)

The sample space are the combinations of ice cream flavors, sauces and toppings with one of each kind.

Listing down the sample spaces as {flavors, sauces, toppings}, will give us :

{c,h,w}, {c,h,f}, {c,b,w}, {c,b,f}, {c,s,w}, {c,s,f}

{v,h,w}, {v,h,f}, {v,b,w}, {v,b,f}, {v,s,w}, {v,s,f}

{m,h,w}, {m,h,f}, {m,b,w}, {m,b,f}, {m,s,w}, {m,s,f}

{d,h,w}, {d,h,f}, {d,b,w}, {d,b,f}, {d,s,w}, {d,s,f}

All in all, there are 24 sample spaces, which is also the product of 4 flavors, 3 sauces and 2 toppins (4 x 3 x 2 = 24)

Answer:b

Step-by-step explanation:

Answer:

5s

Step-by-step explanation:

Algebraic rule

s is a variable and it is an unspoken rule to multiply them if they are next to one another without a mathematical sign

Answer:

R-{-5}

Step-by-step explanation:

you get the vertex by making the denominator =0

ex.z+5=0 ,z=-5

then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0

so the vertex would be (-5,0)

the domain =R-{-5} , range=R-{0}

From law of cosine formula, the width of lake for which Julia wants to determine the distance at certain points across a lake is equals to the 4023.4 meters.

Law of cosine in triangle is used to determine the length of third side of triangle when two other sides and angle between them is known. Cosine formula is c² = a² + b² - 2ab cosC , where

Julia wants to determine the distance at certain points across a lake. See the above figure and reconigse the measurements. Here, the width of lake is represented by AB. There is formed a triangle ABC, with following details,

Length of side AC = 2.82 mi

Length of side BC = 3.86 mi

Measure of angle C = 40.3°

We have to determine value of AB. Using the law cosine formula, AB² = BC² + AC² - 2AC× BC cosC

=> AB² = 2.82² + 3.86² - 2×2.82×3.86 ×cos( 40.3°)

=> AB² = 7.9524 + 14.8696 - 21.7764 ×cos( 40.3°)

=> AB² = 22.852 - 16.603

=> AB ² = 6.2485

=> AB = 2.4996

Hence, required width is 2.5 miles. But we needs answer in meter then convert miles into meters, 1 mile = 1609.344 m

so, 2.5 miles = 2.5 × 1609.344 meters = 4023.36 m ~ 4023.4 meters.

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Complete question:

The above figure complete the question.

julia needs to determine the distance at certain points across a lake. her crew and she are able to measure the distances shown on the diagram below. find how wide the lake is to the nearest tenth of a meter.

d. Dummy coding. Categorical variables need to be converted into numerical variables to be used in regression analysis. Dummy coding involves creating binary variables for each category of the categorical variable.

For example, if the categorical variable is "color" with categories "red," "green," and "blue," dummy coding would involve creating three binary variables: "red" (0 or 1), "green" (0 or 1), and "blue" (0 or 1). These binary variables can then be used in the regression analysis. In conclusion, to use categorical variables in regression analysis, dummy coding is necessary.


In order to use categorical variables in a regression analysis, they must be converted into numerical values. This process is called dummy coding (also known as one-hot encoding). Dummy coding involves creating new binary variables (0 or 1) for each category of the categorical variable. This allows the regression model to incorporate the categorical data while maintaining its numerical nature.

To use categorical variables in a regression analysis, you must apply dummy coding to convert them into numerical values.

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Answer:

15 meters

Step-by-step explanation:

The volume of a cylinder is:

\(V=\pi r^2h\)

pi is a constant, so there are only 3 variables in this equation. 2 of those are given, so all you need to do is plug in the given values and solve for h:

\(V=\pi r^2h\\9231.6=3.14\times14^2\times h\\9231.6=3.14\times196\times h\\9231.6=615.44\times h\\15=h\\h=15\)

The height of this cylinder is 15 meters.

The probability that all three orders will be filled correctly is 0.614125. The probability that none of the three orders will be filled correctly is 0.003375. The probability that at least two of the three orders will be filled correctly is 0.93925. The mean of the binomial distribution is 2.55 and the standard deviation is 0.61847.

The probability of an order being filled correctly is 0.85. There are three orders, so the probability of all three orders being filled correctly is 0.85^3 = 0.614125. The probability of none of the three orders being filled correctly is 1 - 0.85^3 = 0.003375. The probability of at least two of the three orders being filled correctly is 1 - (0.15)^3 = 0.93925. The mean of the binomial distribution is np = 3 * 0.85 = 2.55. The standard deviation of the binomial distribution is sqrt(np(1-p)) = sqrt(3 * 0.85 * 0.15) = 0.61847.

These values suggest that it is very likely that at least two of the three orders will be filled correctly. It is also possible, but less likely, that all three orders will be filled correctly. It is very unlikely that none of the three orders will be filled correctly.

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If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Answer:

32 miles 2 gallons

Step-by-step explanation:

Approx 936 enrollment was the freshman in 2018.

In the given question, Howard university recorded an enrollment of 1060 freshman in 2019, which was a 13.2% increase over the previous record in 2018.

We have to find the freshman enrollment of 2018.

The freshman enrollment in 2019 is 1060.

Let the enrollment of the freshman in 2018 is x.

As we know that the enrollment of freshman in 2019 is 13.2% increase over the 2018.

So the expression should be

x(100+13.2)% = 1060

x(113.2)% = 1060

x(113.2/100) = 1060

1.132x = 1060

Divide by 1.132 on both side, we get

x = 936.396

x = 936 approx

Hence, approx 936 enrollment was the freshman in 2018.

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The divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).

To find the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k, you need to take the divergence operator (∇ · F).

The divergence of a vector field in Cartesian coordinates is given by the following formula:

∇ · F = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z),

where Fx, Fy, and Fz are the x, y, and z components of the vector field F, respectively.

In this case, we have:

Fx = (5x^2 + 7 - sin(xz)),

Fy = 0, and

Fz = (5x^2 + 7 - sin(xz)).

Taking the partial derivatives, we get:

∂Fx/∂x = 10x - zcos(xz),

∂Fy/∂y = 0, and

∂Fz/∂z = 10x - zcos(xz).

Now, substituting these derivatives into the divergence formula, we have:

∇ · F = (10x - zcos(xz)) + 0 + (10x - zcos(xz)).

Simplifying further, we get:

∇ · F = 20x - 2zcos(xz).

Therefore, the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).

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The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

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.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

It is equal to 32y+32 if you wanted to simplify it.

Answer:

32y + 32

Step-by-step explanation:

8 × 4y + 8 × 4

The value of the line integral ∮C (x³)y dx - x dy, where C is the circle x² + y² = 1 with counter clockwise orientation, is -π/2

To evaluate the line integral ∮C (x³)y dx - x dy, where C is the circle x² + y² = 1 with counter clockwise orientation, parameterize the circle and then use the parameterization to compute the integral.

parameterize the circle C as follows:

x = cos(t)

y = sin(t)

where t ranges from 0 to 2π.

Now, let's compute the integral using this parameterization:

∮C (x³)y dx - x dy

= ∫(0 to 2π) [(cos(t)³)(sin(t))(-sin(t)) - cos(t)(cos(t))] dt

= ∫(0 to 2π) [-cos(t)²sin(t) - cos²(t)] dt

To evaluate this integral, we need to expand the terms and simplify the expression:

= -∫(0 to 2π) (cos²(t)sin(t) + cos²(t)) dt

= -∫(0 to 2π) (cos²(t)sin(t)) dt - ∫(0 to 2π) (cos²(t)) dt

The first integral on the right-hand side is zero since the integrand is an odd function integrated over a symmetric interval.

The second integral simplifies as follows:

= -∫(0 to 2π) (1 - sin²(t)) dt

= -∫(0 to 2π) (1 - (1 - cos²(t))) dt

= -∫(0 to 2π) cos²(t) dt

Using the trigonometric identity cos^2(t) = (1 + cos(2t))/2, the integral as:

= -∫(0 to 2π) (1 + cos(2t))/2 dt

= -[t/2 + sin(2t)/4] evaluated from 0 to 2π

= -(2π/2 + sin(4π)/4 - 0/2 - sin(0)/4)

= -π/2

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Step-by-step explanation:

First step:

Distance = 300km

Speed = 60km/hr

We know,

Using Speed = Distance ÷ Time

Time = Distance ÷ Speed

we have Total Time = 300÷60

Total Time = 5hr

Again,

Distance = 200km. (Time = 5hr,

Speed =? Distance = 200)

Speed = Distance÷ Time

= 200÷5

= 40km/hr

Answer:

6.00 %

Step-by-step explanation:

205.00 × 0.060= 12.3

205.00 + 12.3= $217.30

There are 99 students who speak all three languages: Mandarin, Japanese, and Korean. The minimum number of students who speak all three languages is 99.

The method used to solve this problem is based on set theory, which is a branch of mathematics that deals with the study of sets, their properties, and their relationships with one another. Specifically, the principle of inclusion-exclusion, which is used in this problem, is a counting technique that is often used in combinatorics and probability theory, which are also branches of mathematics.

Let X be the number of students who speak all three languages.

Then we have:

Number of students who speak only Mandarin = 174 - 102 - 81 - X = -9 - X (since there cannot be a negative number of students)

Number of students who speak only Japanese = 139 - 102 - 71 - X = -34 - X (since there cannot be a negative number of students)

Number of students who speak only Korean = 112 - 81 - 71 - X = -40 - X (since there cannot be a negative number of students)

Number of students who speak only one language = -9 - X + (-34 - X) + (-40 - X) = -83 - 3X (since there cannot be a negative number of students)

Total number of students who speak at least one language = 268 - 37 = 231

Therefore, the number of students who speak all three languages is:

Total number of students who speak at least one language - Number of students who speak only one language - Number of students who do not speak any of the three languages

= 231 - (-83 - 3X) - 37

= 297 + 3X

Since the number of students who speak all three languages cannot be negative, we have:

297 + 3X ≥ 0

3X ≥ -297

X ≥ -99

Therefore, the minimum number of students who speak all three languages is 99.

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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The length of the rivet should be 3/8 inch to pass through the two sheets of metal.

We must take into account the shank length as well as the thickness of the two metal sheets.

Assumed:

The thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:

Total length = 2 * (Thickness of sheet metal) + Shank length

Substituting the values:

Total length = 2 * (1/16 inch) + 1/4 inch

Calculating the values:

Total length = 1/8 inch + 1/4 inch

Total length = 1/8 inch + 2/8 inch

Total length = 3/8 inch

So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.

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Answer:

its 18 and 20

Step-by-step explanation:

Answer:

18 & 20

Step-by-step explanation:

Forming the equation,

→ x + (x + 2) = 38

→ 2x + 2 = 38

Now the value of x will be,

→ 2x + 2 = 38

→ 2x = 38 - 2

→ x = 36/2

→ [ x = 18 ]

Then the required integers are,

→ x = 18

→ x + 2 = 18 + 2 = 20

Hence, the integers are 18, 20.

Answer:

Step-by-step explanation:20 10x2=20

Answer: 20

Step-by-step explanation: 2 times 10 = 20

Answer:

That is not a function :)

Step-by-step explanation:

You can recognize functions by seeing if it passes the vertical line test. If you draw a vertical line anywhere are the grid and it crosses the equation in more then one place then it does not pass the test, and is not a function.

Here's an attachment that might help

Answer:

Step-by-step explanation:

what is the question?