the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)

Answer:

0, -2

Step-by-step explanation:

Can I have brainliest? I hope this helped and have a nice day!

Answer:

(-1, -5)

Step-by-step explanation:

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

Unfortunately your graph is wrong(Correct one is attached)

Correct ones are

Note

if you make the function y=-x^2+2x+6 then the rest two are correct

Answer:

f is increasing on the interval x < 0

f is increasing on the interval 0 < x < 1

Step-by-step explanation:

From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1

Therefore, the following are true statements:

Answer:

9900

Step-by-step explanation:

i hope my ans helps u

Answer: If you meant roman numeral it is - IX CM

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Given:

Annual earnings = $17,500

Asked: What is the gross amount of her semimonthly paycheck?

Solution:

To find the answer, we need to divide first the annual earnings by 12 to get the monthly paycheck. After that, we will divide it by 2 because we are looking for the semimonthly paycheck.

ANSWER: C. $729.17

Answer:

450/6 simplified to lowest terms is 75/1.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 450 and 6 is 6

Divide both the numerator and denominator by the GCD

450 ÷ 6

6 ÷ 6

Reduced fraction:

75/1

Hope this helps you!!!

Have a great day!!!

Answer:

answer: 75

Step-by-step explanation:

450/6 just reduces to 75 because 450 ÷ 6 = 75

Hope this helps!

Answer:

33.7°

Step-by-step explanation:

the direction angle is calculated as

tanΘ = \(\frac{y}{x}\) ( Θ is the direction angle ) , then

tanΘ = \(\frac{-4}{-6}\) = \(\frac{2}{3}\)

Θ = \(tan^{-1}\) ( \(\frac{2}{3}\) ) ≈ 33.7° ( to the nearest tenth )

Q1) The term logistics involves the process of planning, executing, and controlling the storage and movement of goods. Logistics includes activities such as warehousing, transportation, and distribution to meet customer requirements.

Q2) Outsourcing is a business practice of contracting out certain business activities or processes to external parties or individuals instead of conducting them in-house.

Logistics deals with the physical flow of goods from the point of origin to the point of consumption.In contrast, Supply Chain Management (SCM) encompasses all activities associated with the production and delivery of goods.

SCM is concerned with the management of all business activities that are related to procuring, transforming, and delivering products or services from suppliers to customers. SCM includes activities such as procurement, manufacturing, transportation, inventory management, and warehousing.

Q2) Outsourcing enables businesses to focus on their core competencies while external parties perform non-core activities.A logistics company, for example, might outsource its payroll and accounting functions to an external company, while another company outsources its warehousing, transportation, or distribution functions to a third-party logistics provider (3PL).

An example of outsourcing in logistics could be a company that outsources its transportation to a third-party logistics provider to transport goods from one location to another.

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Answer:

supply and demand

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

so first look at the sequence and find which numbers are there and there you go :)

The value of ta(u) 1 5 9 is and ta(v) is  9 -1 11.

To find the matrix transformation corresponding to a =

| 3 -1 |

| 1 2 |

| 1 4 |

and the transformation of vectors u =

| 1 |

| 2 |

and v =

| 3 |

|-2 |

We can compute ta(u) and ta(v) as follows:

ta(u) = a * u =

| 3 -1 |

| 1 2 |

| 1 4 | *

| 1 |

| 2 | =

| 1 |

| 5 |

| 9 |

So, ta(u) =

| 1 |

| 5 |

| 9 |

Similarly,

ta(v) = a * v =

| 3 -1 |

| 1 2 |

| 1 4 | *

| 3 |

|-2 | =

| 9 -7 |

|-1 2 |

|11 - 5 |

So, ta(v) =

| 9 |

|-1 |

|11 |

Note that the dimensions of ta(u) and ta(v) are 3x1 and 3x1 respectively, since the matrix transformation ta maps vectors in R^2 to vectors in R^3.

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Answer:

x = 10, theta = 30 degrees

Step-by-step explanation:

i. 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

10 = x

ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.

You could also solve it with the law of sines:

sin(90)/12 = sin(x)/6

Multiply each side by 6

6 * sin(90)/12 = sin(x)

0.5 = sin(x)

x = 30 degrees

The slope of the line forming the smallest right triangle, when a line is drawn through the point (1, 2), is 2.

The slope of the line forming the smallest right triangle with the positive x and y axes, when a line is drawn through the point (1, 2), can be determined as follows.

First, let's consider the two axes as the legs of the right triangle, and the line drawn through (1, 2) as the hypotenuse. The slope of the hypotenuse can be calculated by finding the difference in y-coordinates divided by the difference in x-coordinates between the two endpoints.

Since the x-coordinate of the point where the line intersects the x-axis is 0 (positive x-axis), and the y-coordinate of the point where the line intersects the y-axis is 0 (positive y-axis), the difference in y-coordinates is 0 - 2 = -2, and the difference in x-coordinates is 0 - 1 = -1.

Therefore, the slope of the line forming the smallest right triangle is -2/-1 = 2.

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Answer:

400 cents in one hour

Step-by-step explanation:

3min=20cents

60 min=1hr

60/3=20

20*20=400 cents in one hour

Answer:

balls?

Step-by-step explanation:

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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After 19 hours the number of bacteria will be 193.8.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in a lab experiment, 80 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 19 hours, to determine how many bacteria would there be after 17 hours, to the nearest whole number, the following calculation must be performed:

The number of bacteria will be calculated as,

30 x ((2/6) x 19) = X

30 x (0.34x 19) = X

30 x 6.46= X

193.8= X

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The two options that would prove that ΔABC ~ ΔXYZ include the following:

A. BA/YX = BC/YZ = AC/XZ

C. AC/XZ = BA/YX, ∠A≅∠X

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent angles and similar triangles:

BA/YX = BC/YZ = AC/XZ (ΔABC ≅ ΔXYZ)

Based on the side, angle, side (SAS) similarity theorem, we can logically deduce the following congruent angles and similar sides:

AC/XZ = BA/YX, ∠A≅∠X

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

if its in slope intercept witch I expect then,

Y=Mx+b

Y=1/5+4

(a)An function the deformation gradient F is F = 1 γ 0,0 2X2 0,0 0 1

(b The right Cauchy-Green deformation tensor C is C = 1+γ²γ 0,

γ 4X2²0,0 0 1 the left Cauchy-Green deformation tensor B is B = 1+γ² γ 0,γ γ²+4X2² 0,0 0 1.

(a) Deformation Gradient F:

The deformation gradient is defined as the derivative of the deformed coordinates x with respect to the initial coordinates X:

F = ∂x/∂X

Given the shear deformation x = φ(X) with x1 = X1 + γX2, x2 = X2X2, and x3 = X3, we can compute the deformation gradient as follows:

F =∂x1/∂X1 ∂x1/∂X2 ∂x1/∂X3

∂x2/∂X1 ∂x2/∂X2 ∂x2/∂X3

∂x3/∂X1 ∂x3/∂X2 ∂x3/∂X3

Taking the partial derivatives:

∂x1/∂X1 = 1, ∂x1/∂X2 = γ, ∂x1/∂X3 = 0

∂x2/∂X1 = 0, ∂x2/∂X2 = 2X2, ∂x2/∂X3 = 0

∂x3/∂X1 = 0, ∂x3/∂X2 = 0, ∂x3/∂X3 = 1

(b) Right and Left Cauchy-Green Deformation Tensors C and B:

The right Cauchy-Green deformation tensor C is defined as the square of the deformation gradient:

C = F²T × F

The left Cauchy-Green deformation tensor B is defined as the square of the transpose of the deformation gradient:

B = F × F²T

Calculating C:

C = F²T × F

C = 1 0 0

γ 2X2 0

0 0 1

1 γ 0

0 2X2 0

0 0 1

C =1+γ² γ 0

γ 4X2² 0

0 0 1

Calculating B:

B = F × F²T

B = 1 γ 0

0 2X2 0

0 0 1

1 0 0

γ 2X2 0

0 0 1

B = 1+γ² γ 0

γ γ²+4X2² 0

0 0 1

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The expected number of men who will be colorblind is 36.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

5. About 8% of males are colorblind. A researcher has a list of 12 men who have volunteered to be tested.

Here, 8% of 12

= 8/100 ×12

= 0.08×12

= 0.96

Exactly 1 of the 12 men is colorblind.

6. About 8% of males are colorblind. The researcher test 450 volunteers, hoping to find many colorblind men for their study.

Now, 8% of 450

= 8/100 ×450

= 0.08×450

= 36

The expected number of men who will be colorblind is 36.

Therefore, the expected number of men who will be colorblind is 36.

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Ball A reaches a greater height than Ball B.

To determine which ball reaches a greater height, we need to compare the maximum height each ball reaches.

For Ball A, we can use the formula for the vertex of a parabola, which is given by \(x = - \frac{b}{2a} \), where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0). In this case, a = -4.9 and b = 14.7, so the vertex of Ball A's path is at \(x = \frac{ - 14.7}{2 \times 4.9} = 1.5 \) seconds.

To find the maximum height of Ball A, we can plug this value into the original equation:

\(f(1.5) = -4.9 \times {1.5}^{2} + 14.7(1.5) + 0.975 = 9.9 \: \: meters.\)

For Ball B, we can look at the table and see that it reaches a maximum height of 8 meters.

Therefore, Ball A reaches a greater height than Ball B by 1.9 meters (9.9 - 8 = 1.9)

We can answer this question without graphing either function by using the properties of quadratic functions. The maximum height of a quadratic function occurs at the vertex, which can be found using the formula x = -b/2a. We can then plug this value into the function to find the maximum height. By comparing the maximum heights of the two balls, we can determine which ball reaches a greater height.

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Answer:

yes

Step-by-step explanation:

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

Explanation:

Here, we want to get the dimensions of the rectangle

Let us represent the length by l and the width by w

From the question:

The length of the rectangle is 3 m less than double the width

Mathematically:

The product of the two represents the area

Now, let us substitute the first equation with the second:

Solving the quadratic equation, we have:

Recall:

Answer:

Subtract 5 from both sides of the equation :-)

Step-by-step explanation:

Answer:

28/4=7

Step-by-step explanation:

Divide 4 by 28 and you get 7

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Answer:

See below

Step-by-step explanation:

Medium- sized box:

a) Large -sided box

b)

c) Small-sized box