A triangle has a perimeter of 30 cm. Side y is twice as long as side x. Side x is 4 less than side x what is the length of side x in centimeters

True. A feasible solution is a solution that satisfies all the constraints of a problem. It is the solution that meets all the requirements or restrictions given in the problem. When solving a problem, the goal is to find a feasible solution that will meet the criteria and requirements given. A feasible solution is essential in ensuring that the problem is solved in the best possible way. In conclusion, a feasible solution is a necessary element of problem-solving, and it must meet all the constraints of the problem to be considered a viable solution.

A feasible solution is an essential concept in problem-solving. It is the solution that satisfies all the given constraints of a problem. The feasibility of a solution is determined by the constraints of the problem. If the solution meets all the requirements and restrictions given in the problem, it is considered feasible. In contrast, if it fails to meet one or more constraints, it is not a feasible solution.

In conclusion, a feasible solution is necessary in solving problems. It is a solution that satisfies all the constraints of a problem. Without a feasible solution, the problem cannot be solved effectively. Therefore, the feasibility of a solution is crucial, and it must meet all the requirements and restrictions given in the problem.

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Answer:

Below in bold,

Step-by-step explanation:

a. There's is only one card that fits this description so

Probability = 1/52.

b. There are 2 black Kings so

Probability = 2/52 = 1/26.

c. There are 2 of these - 7 of diamonds and 7 of hearts

so

Probability = 2/52 = 1/26.

d.  There 13 diamonds and 13 hearts so

Probability = 26/52 = 1/2.

e.  There  26 black cards

Probability = 26/52 = 1/2.

Answer: Yes there is

Step-by-step explanation:

look bro your trying to get a total of 180 degrees

you already got 72 and 53 degrees

so add the two numbers and then subtract it from 180 degrees

thats 180 degrees minus 125 degrees

your missing point is 55 degrees

Answer:

\(\displaystyle \frac{dy}{dx} = -2x \tan (x^2)\)

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \ln (\cos x^2)\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

The correct answer is D: A and B ( Accounts receivable and cost goods )

Accounts receivable represents the amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for. As sales increase, the amount of accounts receivable also tends to increase since more customers will have outstanding balances.

Cost of goods sold (COGS) represents the direct costs associated with producing or purchasing the goods that are sold by a company. It includes the cost of raw materials, labor, and other direct expenses. As sales increase, the COGS also tends to increase since more goods are being produced or purchased for sale.

COGS is directly influenced by the level of sales because it is tied to the inventory turnover. When goods are sold, their associated costs are transferred from the inventory account to the COGS account. As sales increase, more goods are sold, and therefore, more costs are transferred to COGS.

COGS is calculated by subtracting the ending inventory value from the sum of the beginning inventory and the purchases made during a specific period. It is a key component in determining a company's gross profit and gross profit margin, which are important indicators of profitability.

On the other hand, administrative salaries (option c) typically do not vary directly with sales. Administrative salaries are usually fixed expenses that are paid to employees for their administrative roles regardless of the level of sales.

Therefore, the correct answer is option d. A and B, as both accounts receivable and cost of goods sold vary with sales.

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mass (m) = 5.4g

Volume (V) = 2 cm^3

To find the density (p), we have to apply the next formula:

p= m/v

Replacing:

p´= 5.4/2 = 2.7 g/cm^3

it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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Answer:

The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

Step-by-step explanation:

Allstars mean height:

= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15

= 1007 / 15

= 67.6 inches

Super Stars mean height:

= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15

= 912 / 15

= 60.2 inches

We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players

Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

\(\huge\text{Hey there!}\)

\(\huge\textbf{Your temporary equation: }\)

\(\mathsf{5x + x = \ ?}\)

\(\huge\textbf{We know: }\)

\(\large\textbf{That ONE angle equals 90}^\circ\large\textbf{ and the whole entire angle is}\\\large\textbf{360}^\circ.\)

\(\huge\textbf{Knowing that much information, we can}\\\\\huge\textbf{make the equation much easier to solve.}\\\\\\\huge\textbf{We will simplify the angle sides and it}\\\\\huge\textbf{should give you the answer behind the}\\\\\huge\textbf{the equal sign.}\)

\(\mathbf{360^\circ - 90^\circ = \boxed{\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign}}}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign = \boxed{\bf 270}}}}\)

\(\huge\textbf{New equation:}\)

\(\mathbf{5x + x = 270^\circ}\)

\(\huge\textbf{COMBINE the LIKE TERMS:}\)

\(\mathbf{(5x + x) = 270^\circ}\)

\(\mathbf{5x + x = 270^\circ}\)

\(\huge\textbf{Remember a variable by itself is}\\\\\huge\textbf{understood as an invisible 1.}\)

\(\huge\textbf{Anyway, back to answering the equation}\)

\(\mathbf{5x + x}\)

\(\mathbf{= 5x + 1x}\)

\(\mathbf{= 6x}\)

\(\huge\textbf{New equation:}\)

\(\mathbf{6x = 270^\circ}\)

\(\huge\textbf{DIVIDE 6 to BOTH SIDES:}\)

\(\mathbf{\dfrac{6x}{6}=\dfrac{270}{6}}\)

\(\huge\textbf{SIMPLIFY IT!}\)

\(\mathbf{x = \dfrac{270}{6}}\)

\(\mathbf{x = 45}\)

\(\huge\textbf{Answer:}\)

\(\huge\boxed{\mathsf{x = 45}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

your answer would be A.

Step-by-step explanation:

They are the same distance from zero.

Answer:

They are the same distance from zero

zero pairs

and opposites

Step-by-step explanation:

\(x = 1\)

\( \)

HOPE It Helps it;D

Answer:

 2 • (x + 3)

Step-by-step explanation:

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we are given sides a = 10 and b = 12, and we need to find the missing side c.

Using the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values:

c^2 = 10^2 + 12^2

c^2 = 100 + 144

c^2 = 244

Taking the square root of both sides to solve for c:

c = √244

c ≈ 15.62

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

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Answer:

Find the exact value using trigonometric identities.

−3

Step-by-step explanation: I do not know how you wanted it to be solved, I am just getting into this, sorry

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%

(A) Using the given information, we can identify the following values:

P = $2,000 (the present value or initial deposit)

r = 4.5% (the annual percentage rate)

n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)

(B) To find the future value of the account balance after 9 years, we can use the formula:

\(S(t) = P(1 + r/n)^{nt}\)

where t is the time in years. Substituting the given values:

\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)

= $2,000(1.505016)

= $2985.17

Therefore, Monique will have $$2985.17 in the account in 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:

\(APY = (1 + \frac{r}{n})^n - 1\)

Substituting the given values:

\(APY = (1 + 0.045/2)^2 - 1\)

= 0.0445 or 4.45%

Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.

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Answer:

40 seconds

Step-by-step explanation:

8         20

16        40

32

40

40 seconds

It will take 40seconds to both the lights to flash at the same time again.

" Least common multiple is defined as the smallest common multiple of the given set of numbers."

According to the question,

Given ,

Time to flash Light A is  every 8 seconds.

Time to flash Light B is every 20 seconds.

Condition given

Both the lights flash at the same time

Least common multiple (8, 20) = 40seconds

Light A flashes in

8seconds , 16seconds , 24seconds , 32seconds, 40seconds

Light B flashes in

20seconds , 40seconds

Hence, both the light flashes at the same time again is at 40seconds.

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Answer:

x = 6 / sqrt(2)

Step-by-step explanation:

We are given the diagonal of a square

The side length is x

Using the Pythagorean theorem

x^2 + x^2 = h^2  where h is the length of the hypotenuse which is 6

x^2+x^2 = 6^2

2x^2 = 36

x^2 = 18

Taking the square root of each side

sqrt(x^2) = sqrt(18)

x = 3 sqrt(2)

This can be rewritten as

x = 3 sqrt(2) * sqrt(2)

    ------------------------

             sqrt(2)

x =    3*2  

        -------

          sqrt(2)

x = 6 / sqrt(2)

Answer:

Step-by-step explanation:

Given :-

And we need to prove that ,

So let us assume that ,

\(\implies\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k\)

Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,

\(\dfrac{a+b}{3}=k\)

\(\implies a + b = 3k \quad \dots (i) \)

Similarly we can say that ,

\(\implies c + b = 6k \quad \dots (ii)\)

\(\implies a + c = 5k\quad \dots (iii) \)

Subtracting (i) and (ii) :-

\(\implies a - c = -3k \quad \dots (iv) \)

Adding (iv) and (iii) :-

\(\implies 2c = 4k \)

\(\implies \boxed{c = 4k }\)

Put this is (ii) :-

\(\implies b +4k = 6k \)

\(\implies \boxed{b= 2k }\)

Similarly we will get ,

\(\implies \boxed{a = k }\)

Proving the given equation :-

\(\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}\)

Hence proved !

Answer: 1809.6 ft³

Step-by-step explanation:

The sales tax percentage is 10%.

What is a percentage?

A percentage is a way of expressing a proportion or a fraction as a number out of 100. It is often denoted with the symbol % (percent).

To find the sales tax percentage, we need to first find the amount of sales tax paid.

The amount paid with sales tax is $737, and the original price of the sculpture is $670. So the amount of sales tax paid is:

$737 - $670 = $67

To find the sales tax percentage, we divide the sales tax amount by the original price of the sculpture and then multiply by 100 to convert to a percentage:

($67 / $670) x 100% = 10%

Therefore, the sales tax percentage is 10%.

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Answer:

You need to put an image of the graph for people to give you an answer.

Step-by-step explanation:

Answer:

\(A=254.46\ cm^2\)

Step-by-step explanation:

Given that,

The diameter of the pizza, d = 18 cm

We need to find the square cm of cheese layer does she need to put on the pizza.

We know that the area of the circle is given by :

\(A=\pi r^2\)

Where

r is the radius of the circle

Here, r = 9 cm

So,

\(A=\pi (9)^2\\\\A=254.46\ cm^2\)

So, the area of the pizza is \(254.46\ cm^2\).

Answer: h=55 and h=66 are the solutions to the inequality

Answer:

(x,y)=(2,4)

Step-by-step explanation:

My teacher:
- 5'3
- 5.25 ft
- 63 in
- 160 cm

Answer:

it would b 2 in half cups of powder

Answer:

I believe its A

Step-by-step explanation:

D. h(t) = -16(t - 5)² + 403 could be used to model this situation.

A baseball is hit from an initial height of 3 feet.

The baseball reaches a maximum height of 403 feet.

Here, h(t) indicates the height in feet after t seconds.

At the start, t = 0 & Initial height = 3 feet ,i.e. h(0) = 3

We have to verify options by putting t = 0

A.  h(t) = -16(t - 403)² + 3

So, h(0) = -16(0-403)² + 3 = -16(-403)² +3 = -2598544+3 = -2598541

B.  h(t) = -16(t - 5)² + 3

So, h(0) = -16(0-5)² + 3 = -16(-5)² + 3 = -400+3 = -397

C.  h(t) = -16(t - 3)² + 403

So, h(0) = -16(0-3)² + 403 = -16(-3)² + 403 = -144 + 403 = -259

D.  h(t) = -16(t - 5)² + 403

So, h(0) = -16(0-5)² + 403 = -16(-5)² + 403 = -400 + 403 = 3

Hence, in this function h(0) = 3 verified.

Therefore h(t) = -16(t - 5)² + 403 is the required function.

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Step 1

Given

Required: To find where the graph of both functions intersect. In other words the find the value of x and hence f(x) and g(x).

Step 2

Solve both equations simultaneously.

Subtract equation 2 from 1

Hence,

Step 3

Check

Hence the graph intersects at the point where x = 1.6 and y =6.2. Remember y = f(x) and g(x)