Please answer the question about nets

The two different expressions to represent the total cost of 3 liters of shampoo where L is the regular price of a liter bottle are;

Let

Total cost = Regular price of 2 liters of shampoo + discounted price of the 3rd liter

= (L × 2) + (L - 30% of L)

= 2L + (L - 0.3L)

= 2L + (0.7L)

Total cost = 2.7L

In conclusion, the expressions which can be used to represent the situation are;

2L + (L - 0.3L)

2.7L

Complete question:

Emilio buys liter bottles of shampoo when the store has the promotion shown. Write an expression in two different ways to represent the total cost 0f 3 liters of shampoo. Let L be the regular price of a liter bottle.

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If suppose all firms at industry are well merged into a single, then the Herfindahl index must become 10,000. Option (c) is correct.

A merger among organizations generating exclusive items or offerings for one particular completed product. A vertical merger takes place whilst or greater firms, working at exclusive ranges inside an industry's deliver chain, merge operations. Historically, mergers and acquisitions generally tend to end result in process losses.

Most of that is as a consequence of redundant operations and efforts to enhance efficiency. The threatened jobs encompass the goal company's CEO and different senior management, who regularly are provided a severance bundle and allow go."). Some not unusualplace synonyms of merge are amalgamate, blend, coalesce, commingle, fuse, mingle, and mix. While these kinds of phrases mean "to mix right into a greater or much less uniform whole," merge indicates a combining wherein one or greater factors are misplaced withinside the whole.

If all firms were merged at HHI, then it would be:

1. add all share market percent

2. take square of step 1

=(18+ 17+ 17+ 17+ 16+ 15= 100)

=100*100

= 10000

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Correct Question:

Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

The standard error of a statistic is the standard deviation of the sample distribution, or a close approximation of that standard deviation. A statistic that is the sample mean is referred to as having a "standard error of the mean."

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean.

Consider the following set of D scores,

2, 2, 10, 2

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 2 + 2 + 10 + 2

We can sum or difference of the coefficients,

∑D = 4 + 10 + 2

∑D = 14 + 2

∑D = 16

Then,

∑D² = 2² + 2² + 10² + 2²

∑D² = 4 + 4 + 100 + 4

∑D² = 8 + 100 + 4

∑D² = 100 + 12

∑D² = 112

So,

The formula for the standard score is given as:

SS = ∑[tex]D^{2}[/tex] - (∑D*∑D) / n

SS = 112 - [ (16)² /4 ]

SS = 112 - [ 256 /4 ]

SS = 112 - 64

SS = 48

Then,

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{SS}{n-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{4-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{3} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{16}[/tex]

[tex]S_{D}[/tex] = 4

Therefore,

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

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Using the perimeter and area formular for a rectangle and semicircle, the dimension of the window should have a length of 1.68 ft and the width should also be 1.68 ft.

Dimension is measurement of width or something.

Side lengths of the window = L

Radius of semicircle = r

width = 2r

Perimeter of semicircle = πr + 2r

Hence, perimeter of window can be expressed thus :

2L + 2r + πr = 12 - - - - (1)

Area of window :

2rL + 0.5πr^2 - - - - - (2)

A = r(12 - 2r - πr) + 0.5πr^2

A = 12r - 2r^2 - πr^2 + 0.5πr^2

A = 12r - 2r^2 - 0.5πr^2

Take the derivative of A to obtain maximum value of r

dA/dr = 12 - 4r - πr = 0

4r + πr = 12

2L = 12 - 2r - πr

12 - 2*1.68 - 1.68(3.14)

2L = 3.3648

L = 3.3648 / 2

L = 1.68.

Hence, the dimension of the window should be : 1.68 by 1.68.

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Answer:

Option B

Step-by-step explanation:

Use the formula

[tex]x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}[/tex]

now input the values. In equation [tex]x^{2} - 5x + 7 = 0[/tex], a = 1, b = -5 & c = 7

By taking positive sign we get,

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

⇒[tex]x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}[/tex]

⇒[tex]x = \frac{5+\sqrt{25-28 } }{2}[/tex]

⇒[tex]x = \frac{5+\sqrt{-3 } }{2}[/tex]

In the same way, by taking minus sign, we get [tex]x = \frac{5-\sqrt{-3 } }{2}[/tex]

The factors of the function graphed in the given graph is option (C) (x-1)(x+5)

The function is the mathematical statement that shows the relationship between the dependent variable and independent variable

From the given graph

The given graph is a parabola and the equation of the graph will be a quadratic function

x intercepts of the lines are

x = -5 and x = 1

Then to find the factors of the function graphed

x = -5

x + 5 = 0

Similarly the second equation will become

x = 1

x-1 = 0

Then the factors function will be

(x+5)(x-1)

Therefore, the factors are option (C) (x-1)(x+5)

I have solved the question in general, as the given question is incomplete

The complete question is

Which of the following are the most likely factors of the function graphed above?

A. (x+1)(x-5)

B. (x)(x-5)

C. (x-1)(x+5)

D. (x)(x+5)

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The value of x after simplification is 6/5.

What is an equation?

A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in those other languages can vary slightly. For instance, in French, an equation is defined as having one or even more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values for the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables that the equation must be solved, and the unknown variable values that satisfy this same equality are known as the equation's solutions.

Main Body:

according to the given equation,

5x = 6

to solve it , divide by 5 on both sides,

5x *1/5  = 6*1/5

x = 6/5

Hence the value of x after simplification is 6/5.

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Answer:

25!

in this type of questions you need to find 10 makers ( it's means you need to find numbers which has 2 or 5 in their prime factors) obviously there is a bunch of numbers which has 2 in their prime factors.

so we need to find multiples of 5. But you should be aware that some numbers have more than one prime factors of 5 e.g. 25 .

ok let's go back to the question.

starting from 1 , we've got 5, 10 , 15 ,20 &25(5²)

so the answer is 25!

Answer: The area is going to be 0.8

Step-by-step explanation:  The diameter is 1

You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.

After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14

3.14(0.5)^2= 0.785

you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.

So, the Area is 0.785 but after rounding it is 0.8.

Hope that helped :)

Ellie's pre-pregnancy BMI is 38. Thus, her weight-gain goal should be 11-20 pounds for the entire pregnancy.

Having a BMI of 30 or higher during pregnancy can increase the risk of complications for you and your baby. Working with your health care provider can help you manage your risks and promote a healthy pregnancy.

If before pregnancy, you were…                      You should gain…

Underweight BMI less than 18.5                      50-62 pounds*

Normal Weight BMI 18.5-24.9                      37-54 pounds

Overweight BMI 25.0-29.9                              31-50 pounds

Obese BMI greater than or equal to 30.0      25-42 pounds

Body Mass Index (BMI) is calculated by dividing a person's height in feet by their weight in kilos or pounds (meters). The BMI of healthy pregnant women should be between 18.5-24.9.

Preconception, the time before and between pregnancies, is another name for the pre-pregnancy phase.

Therefore,

Ellie's pre-pregnancy BMI is 38. Thus, her weight-gain goal should be 11-20 pounds for the entire pregnancy.

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The commission rate is 20% and the base pay is $41,000.

The total pay is the sum of the base pay and the total commission earned.

Total pay = base pay + commission

Total pay = base pay + (percentage commission x sales)

The equations that represents the information in the question are:

a + 50,000b = 51,000 equation 1

a + 100,000b = 61,000 equation 2

The elimination method would be used to determine the required values:

Subtract equation 1 from equation 2:

50,000b = 10,000

b = 10,000 / 50,000

b = 0.2 = 20%

Substitute for b in equation 1:

a + (50,000 x 0.2) = 51,000

a + 10,000 = 51,000

a = 51,000 - 10,000

a = 41,000

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The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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It will grow to $9991.15

The money he will have in this account if he keeps it for 5 years is $333, if the interest rate is compounded semiannually.

Compound interest is the term used to describe interest on savings that is calculated using both the initial principal and interest that has accrued over time. You can earn interest on interest, which is known as compound interest. Mathematically, if you have $100 and it earns 5% interest annually, you will have $105 at the end of the first year. You will have $110.25 by the conclusion of the second year.

Given,

P=$300

Time t=5 years

Interest rate=2.1%

Hence, the amount will have in his account is:

=[tex]P(1+(10/2000)^{2t}[/tex]

Here, the interest is compounded semiannually.

=[tex]300(1+(2.1/200))^{10}[/tex]

=$333

Therefore, the money he will have in this account if he keeps it for 5 years is $333, if the interest rate is compounded semiannually.

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Answer:

.35

Step-by-step explanation:

Just drop the zero     .350 is    350 thousandths  = 35 hundredths

When the net is folded into the rectangular prism

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. Another name for it is a cuboid.

Applying science of vision to see technical details in the prism, seeing letter B on the top means that D will be on the bottom.

the side we face will be C while the bac will be A

on the other side, the left end not showing is E and this make up all the part of the prism

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Answer:

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

Let the side of the square is x and side of the octagon is y.

Set equation for sides:

The perimeter of square is same as the perimeter of the octagon:

Simplify and then substitute:

Find x:

a) The median waiting time until the next telephone order is of: 2.91 minutes.

b) The upper quartile of waiting time before the next telephone order is of: 5.82 minutes.

c) The upper 10% of waiting time until the next telephone order is of: 9.67 minutes.

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The mean for this problem is of:

m = 4.2.

Hence the decay parameter is of:

[tex]\mu = \frac{1}{4.2} = 0.2381[/tex]

The mass function is then given as follows:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

Hence:

[tex]P(X \leq x) = 1 - e^{-0.2381x}[/tex]

The median time is the value of x for which P(X < x) = 0.5, hence:

[tex]0.5 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.5[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.5}[/tex]

-0.2381x = ln(0.5)

x = -ln(0.5)/0.2381

x = 2.91 minutes.

The upper quartile is the value of x for which P(X < x) = 0.75, hence:

[tex]0.75 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.25[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.25}[/tex]

-0.2381x = ln(0.25)

x = -ln(0.25)/0.2381

x = 5.82 minutes.

The upper 10% is the value of x for which P(X < x) = 0.9, hence:

[tex]0.9 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.1[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.1}[/tex]

-0.2381x = ln(0.1)

x = -ln(0.1)/0.2381

x = 9.67 minutes.

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The difference between the normal low temperature and the record low temperature is 31°F.

The physical concept of temperature indicates in numerical form how hot or cold the weather is. A thermometer is used to determine temperature.

When the temperature is hot the measure of temparature will be in positive when the temperature is cold the measure of temparature will be negative.  

The formula for the difference between the normal low temperature and the record low temperature is given by

Here we have

The coldest temperature ever recorded in Mathville was - 16° F

This happened on January 30th, 1984. The normal low for that day is 15°F.

Here we need to find the difference between the normal low temperature and the record low temperature.

The formula for the difference is given by

Difference = (record low temperature) - (normal low temperature)  

From the given data,

Difference will be = - 16°F - (15°F) = -16°F - 15°F = - 31°F  

Therefore,

The difference between the normal low temperature and the record low temperature is 31°F.

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It is proved that T/F a calculus is used  for computing filippov's differential inclusion with application to the variable structure control of robot manipulators.

In this we also get to know more about the calculus concepts and it also helps in paper to develops a calculus for computing Filippov's differential inclusion which simplifies the analysis of dynamical systems described by differential equations with discontinuous right-hand-side. In particular, when a slightly generalized Lyapunov theory is used, the rigorous stability analysis of variable structure systems is routine. As an example, a variable structure control law for rigid-link robot manipulators is described and its stability is proved.

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The slope of the line parallel to the given lines are as follow:

a. Slope of the line parallel to 2x + y =  -7 is -2.

b. Slope of the line parallel to y = (- 1 + 2x) 3 is 6.

c. Slope of the parallel lines are always equal.

d. Equation parallel to the given line y = 3x -5 are y = 3x + c , c may have any real value.

As given in the question,

Slope of two or more parallel lines are always same.

Equation in the form y = mx + c ,

here 'm' is the slope.

a.  Slope of the line parallel to 2x + y =  -7

y = -2x -7

Slope of the line is -2.

Slope of the line parallel to the given line is -2.

b.  y = (- 1 + 2x) 3

⇒ y = 6x -3

Slope of the line is 6 .

Slope of the line parallel to the given line is also 6.

c. Slope of the parallel lines are always equal.

d. Equation of the line parallel to the given line y = 3x -5 is given by:

y = 3x + c , here slope remain same only c value get change.

Therefore, slope of the given lines are:

a. Slope of the line parallel to 2x + y =  -7 is -2.

b. Slope of the line parallel to y = (- 1 + 2x) 3 is 6.

c. Slope of the parallel lines are always equal.

d. Equation parallel to the given line y = 3x -5 are y = 3x + c , c may have any real value

The complete question is:

a. What is the slope of a line parallel to the line whose equation is

2x + y =- 7?

b. What is the slope of a line parallel to the line whose equation is

Y = (- 1 + 2x) 3 ?

c.  How do you find the slope of a parallel line?

d. Which is the equation of a line parallel to the line with equation y=3x- 5?

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The value of line integral is 1/2 .

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

[tex]\int\limits^1_0 {L(x,y)} \, dx + M(x,y)dy =\int\limits^1_0 \int\limits^0_1 {(Mx- Ly)} \, dx\, dy[/tex]

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy

Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line integral is equal to the double integral

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy[/tex]

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy = \int\limits^1_0 {x^{2}y \left \{ {{1} \atop {0}} \right. } \, dy =\frac{y^{2} }{2} \left \{ {{1} \atop {0}} \right. } = \frac{1}{2}[/tex]

We conclude that the line integral is 1/2

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The mixed number of 2.81 is 2 whole number 81 by 100 or [tex]2\frac{81}{100}[/tex].

What is whole number?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

Given number is 2.81.

The number 2.81 can be written as 2 + 0.81.

The number of digits after decimal point is 2.

To convert 0.81 into fractional form, divide 81 by 100.

2 + 0.81 = 2 + (81/100)

The mixed number of 2.81 is [tex]2\frac{81}{100}[/tex].

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The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of drawing an even-numbered blue marble.

= Number of even blue marble / Total number of marbles

The probability of drawing an even-numbered blue marble is 3/11.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of red marbles = 5

Number of blue marbles = 6

Number of even blue marbles = 3

Total number of marbles = 5 + 6 = 11

The probability of drawing an even-numbered blue marble.

= Number of even blue marble / Total number of marbles

= 3/11

Thus,

The probability of drawing an even-numbered blue marble is 3/11.

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Answer:

the observed value of 9 is 13 units lower than the predicted value of 22.

Step-by-step explanation:

A residual is the difference between the observed value of a data point and the predicted value of that data point based on a given model. In a regression analysis, the residual is calculated using the formula e = y - y', where y is the observed value, y' is the predicted value, and e is the residual.

In this case, we are given the point (4,9) and the regression equation y = 5x + 2. Plugging in the value x = 4 into the regression equation, we get:

y' = 5(4) + 2 = 22

Since we are also given that the observed value of the point (4,9) is 9, we can plug these values into the formula for the residual to calculate the residual:

e = 9 - 22 = -13

Therefore, the residual e when x = 4 is -13. This means that the observed value of 9 is 13 units lower than the predicted value of 22.

The IVP has only one solution with the initial condition y(0)=1 which corresponds to C=2

You should understand that  the square root of a number y is a non-negative number.

To this effect, take C = -2 - 1/2In(1+x) + c/2 and this is a negative value in the neighborhood of x=0

On the other hand, the square root of y(x) = -1/2In(1+x)-2)²

⇒√y(x) = -1/2In(1+x) -2.

This is also non-negative in the neighborhood

Note that √y(x) = 1/2In(1+x) +2

And y(x) is not a solution of the original IVP

In conclusion, The IVP has only one solution with the initial condition y(0)=1 which corresponds to C=2

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The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.

Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,

0.03x + 0.07(1000 - x) = 0.061 × 1000

Simplify the equation, then we have

0.03x + 0.07(1000 - x) = 0.061 × 1000

0.03x + 70 - 0.07x = 61

-0.04x + 70 = 61

0.04x = 70 - 61

0.04x = 9

x = 9 / 0.04

x = $225

Then the amount in the second account will be given as,

⇒ $1000 - $225

⇒ $775

The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

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Answer:

  see attached

Step-by-step explanation:

You want the attached table of group size and number of groups filled in.

As you know from your early experience with multiplication and division relations, either factor of a product can be found by dividing the product by the other factor:

  P = a·b   ⇒   a = P/b, or b = P/a

Here, the total is equal to the product of the number of groups and the number in each group. That means the missing number on each line can be found by dividing the total by the known number on the line.

When the numbers are already in a spreadsheet, you can let the spreadsheet do the arithmetic.

The angle between the two sides of lengths a and b that maximizes the area of the triangle is θ = π/2.

The area of a triangle whose sides of lengths a and b with an angle θ between them is

A = 1/2ab sinθ

The given triangle has two sides of lengths a and b.

Consider θ is the angle between the a and b sides. Then the area of the triangle is

A = 1/2ab sinθ

For maximizing the area of the triangle, derivating the area we have and equate to zero i.e.,

dA/dθ = 0

⇒ dA/dθ = 1/2 ab cosθ = 0

⇒ cosθ = 0

∴ θ = π/2

And the condition for the maximum area is d²A/dθ² < 0.

I.e., d²A/dθ² = -1/2ab sinθ

⇒ d²A/dθ² = -1/2ab sin(π/2) = -1/2ab < 0

So, the maximum area is  

Δ(max) = 1/2 ab sin(π/2) = 1/2ab

Thus, the angle between the two sides of lengths a and b of a triangle is π/2 when its area is maximum.

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Answer:

103

Step-by-step explanation:

2018-2014=4

1023-611=412

4x=412

x=103