Can the sides of a triangle have lengths 2, 18, and 20?

The perimeter of the figure is equivalent to 8x + 8

The given diagram is a composite figure. The perimeter of the figure is the sum of all the sides.

Taking the sum of all the sides

Sum = 3x - 2 + (x + 6) + (x + 5) + x + (x + 2) + (x - 3)

Sum = (3x + x + x + x + x + x) - 2 + 6 + 5 + 2 - 3

Sum = 8x + 4 + 7 - 3

Sum = 8x + 8

Hence the sum of the perimeter of the figure is 8x + 8

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Answer:

120/5

24 inches.

Step-by-step explanation:

Answer:

y+1-1x

Step-by-step explanation:

.................

Answer:

Find the function of two points first. Then check whether the third point is on it

Assuming the function has the form r(t) = (t^2 + 3, 2t - 1, t + 1), the curvature can be found as follows:

To find the curvature, κ(t), of a vector-valued function r(t), you can use the formula:

κ(t) = || r'(t) × r''(t) || / || r'(t) ||^3

First, compute the first and second derivatives of r(t):

r'(t) = (2t, 2, 1) and r''(t) = (2, 0, 0)

Next, compute the cross product r'(t) × r''(t):

r'(t) × r''(t) = (0, -2, 4)

Now, find the magnitudes:

|| r'(t) × r''(t) || = sqrt(0^2 + (-2)^2 + 4^2) = sqrt(20)
|| r'(t) || = sqrt((2t)^2 + 2^2 + 1^2) = sqrt(4t^2 + 5)

Then, compute the curvature κ(t):

κ(t) = sqrt(20) / (sqrt(4t^2 + 5))^3

This is the curvature of the given vector-valued function for any value of t.

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Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Therefore, Nolan has 8 dollars left to spend on gift C.

Nolan spent 9 dollars and 34 cents on gift A,

and 3 dollars and 12 cents on gift B,

for a total of

9 + 3 = 12 dollars and

34 + 12 = 46 cents spent so far.

Nolan started with 20 dollars, so he has 20 - 12 = 8 dollars remaining for gift C.

By using wildcards (such as "x" and "y") that are replaced with random values when the quiz is taken, simple calculated questions provide a technique to build individual numerical questions whose response is the result of a numerical formula that contains changeable numerical values.

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Part a: Expression for conventional account: $(5000-x) at 5%pa.

Part b: polynomial model: T =  5250  -  0.01x

Part c: Sum of investments in retirement account: T= $5245.

When they need to raise money, governments and businesses issue bonds.

a. Create an expression to show how much money is invested in the conventional account.

Back $(5000-x) at 5%pa

b. Construct a polynomial model in its simplest form to represent the entire sum of investments made by T. Kent after a year (possibility: thus every account has A + iA dollars, in Which a is the account's initial balance and I is the interest rate).

The bond will increase to after a year to : x + 0.04x

= x(1+0.04)

= 1.04x   ...eq 1

So, after the time of one year this traditional account growth will be-

(5000-x) + 0.05(5000-x)

= 5000 - x  + 0.05*5000  -  0.05x

= 5000  -  x  + 250  -  0.05x

= 5250  -  1.05x  ..eq 2

From eq 1 and eq 2

T = 1.04x + 5250  -  1.05x

T =  5250  -  0.01x

c. If Kent invested $500 in bonds, how much will he have in the retirement account in a year?

x=500

T= 5250  - 0.01*500

T= 5250 - 5

T= $5245

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The type of sampling used by the BLS (Bureau of Labor Statistics) for its National Compensation Survey, where employers are divided by size in the second stage of sampling, is known as stratified sampling.

Stratified sampling involves dividing the population into subgroups or strata based on certain characteristics or criteria. In this case, the BLS divides the employers into different size categories. Within each stratum, a sample is then randomly selected to represent that specific subgroup. This approach allows for a more precise estimation of employment costs within each size category. By using stratified sampling, the BLS ensures that the sample is representative of the different employer sizes and allows for more accurate and reliable estimates of employment costs at a national level.

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Answer:

22.5 hope i helped you out

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

I used a calculator:))))hope it helped:))))))

Answer:i think its 115 degres

Step-by-step explanation:

The decimal value of the 8-bit binary number 10011110, when interpreted as an unsigned number, is 158.

To convert a binary number to decimal, you can assign each bit a weight based on its position and then calculate the sum. In an 8-bit number, the rightmost bit (bit 0) has a weight of 2^0 = 1, the next bit (bit 1) has a weight of 2^1 = 2, the next bit (bit 2) has a weight of 2^2 = 4, and so on.

In this case, we have:

1 * 2^7 + 0 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 0 * 2^0

= 128 + 0 + 0 + 16 + 8 + 4 + 2 + 0

= 158

So, the decimal value of the 8-bit binary number 10011110 is 158.

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A. The equations are given as follows:

B. The solutions are given as follows: x = 11, y = -5.

C. The angles are given as follows:

The two parallel lines, p and q, are cut by the transversal line, hence angles 2 and 3 are supplementary angles, and thus:

x - 9y + 1 + 11x + 2 = 180

12x - 9y = 177.

Angles 1 and 2 are alternate interior angles, meaning that they are congruent, hence:

6x + y - 4 = x - 9y + 1.

5x + 10y = 5.

x + 2y = 1.

x = 1 - 2y.

Replacing in the first equation, the value of y is given by:

12(1 - 2y) - 9y = 177

33y = -165

y = -165/33

y = -5.

Then the value of x is of:

x = 1 - 2y = 1 + 10 = 11.

The angle measures are given as follows:

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Answer: $18.20

Step-by-step explanation:

390.40/16 to find the initial costs of the shares. That would be $24.40 per share. However, since the stock has fallen, you would do that same division, but with the new value. 291.20/16, which is $18.20

Answer:

$18.20 per share is the value of each stock currently

Step-by-step explanation:

Take the value the stocks are worth now and divide by the number of shares

291.20/16

$18.20 per share

$18.20 per share is the value of each stock currently

According to the information, the angles of these triangles are: 90°, 60° and 30°.

To calculate the value of the angles we must use a protractor. To use a protractor we must identify the line that is identified as 0°. Later, we must place it on one of the vertices of the angle and the central point of the protractor must be just above the angle.

Once it is in this position, we must identify the value that coincides with the other vertex. There it will not say what the value of the angle is. We must do this procedure in the three angles of the triangle and we can verify it by adding them, this sum must give us 180° as a result.

Note: This question does not have the image. Below is the image:

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The formula for the volume of a cylinder: V = πr²h, where V is the volume, π (pi) is approximately 3.14, r is the radius, and h is the height.

According to the formula  the volume of a cylinder is equal to π × r² × h, where r is the radius of the circular base and h is the height of the cylinder.

To use this formula, you need to know the radius and the height of the cylinder. If you are given the diameter instead of the radius, you can divide it by 2 to get the radius.

For example, if you have a cylinder with a diameter of 10 ft and a height of 20 ft, you can find its volume by following these steps:

Divide the diameter by 2 to get the radius: r = 10 / 2 = 5 ft

Plug in the values into the formula: V = π × r² × h = π × 5² × 20

Simplify and round to the nearest hundredth: V ≈ 1570.80 ft³

You can use this method to find the volume of any cylinder. Just make sure to use consistent units for both the radius and the height.

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Answer: The answer is A or 1709.73 ft3

Step-by-step explanation: correct answer on edg.

Answer:

16

Step-by-step explanation:

The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.

Answer:

Next coordinate is (-1,-3)

Step-by-step explanation:

draw a graph in graph paper and mark all coordinates

Answer:

45

Step-by-step explanation:

A possible formula for the polynomial P(x) is P(x) = (x-3)^2 * x^2 * (x+4). since the root at x=-4 has multiplicity 1, it means that (x+4) is also a factor of the polynomial.

We are given that P(x) has degree 5, a leading coefficient of 1, and roots of multiplicity 2 at x=3 and x=0, and a root of multiplicity 1 at x=-4.

Since the roots at x=3 and x=0 have multiplicity 2, it means that (x-3)^2 and x^2 are factors of the polynomial.

Similarly, since the root at x=-4 has multiplicity 1, it means that (x+4) is also a factor of the polynomial.

Combining these factors, a possible formula for P(x) is P(x) = (x-3)^2 * x^2 * (x+4). This formula satisfies all the given conditions.

It is important to note that there could be other possible formulas for P(x) that also satisfy the given conditions, as there are multiple ways to express a polynomial with the same roots and multiplicities.

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Answer:

- \(\frac{1}{2}\)

Step-by-step explanation:

One cubic down and 2 cubics to the right

It is important for researchers to be aware of these disadvantages and carefully evaluate the suitability and reliability of secondary data sources before using them in their research.

Data Relevance: Secondary data may not always be directly relevant to the research question or objectives. It may have been collected for a different purpose, leading to potential inconsistencies or gaps in the data that are not applicable to the specific research.

Data Quality: The quality and accuracy of secondary data can vary. It may be outdated, incomplete, or contain errors, which can impact the reliability of the findings and conclusions drawn from the data.

Limited Control: Researchers have limited control over the data collection process in secondary data. This lack of control can restrict the ability to gather specific variables or details required for the research study, limiting its applicability.

Bias and Perspective: Secondary data often reflects the bias and perspective of the original data collectors. Researchers may not have access to the underlying context or the ability to verify the accuracy of the data.

Lack of Customization: Researchers cannot tailor secondary data to their specific needs or research design. They must work within the confines of the available data, which may not fully align with their requirements.

It is important for researchers to be aware of these disadvantages and carefully evaluate the suitability and reliability of secondary data sources before using them in their research.

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Answer:

1) B

2)A

Step-by-step explanation:

1) The only on that made sense really!

2) Also the only one that made sense!

Answer:

5.) b

6.)a

Step-by-step explanation:

5.) b

3x - 24 = 81 (add 24 on both sides)

3x = 105 (divide by 3 on both sides)

x = 35 or 105/3

6.) a

-5x - 25 = 78 (1st add 25 on both sides)

-5x = 103 (2nd divide both sides by -5)

x = -20.6

Hope this helps ya!!

Sarah bought 5 first class tickets for 1030$ each and 9 coach tickets for 120$ each.

Let's use variables C and F to denote the quantity of coach and first class tickets purchased.

We may deduce from the problem:

C + F = 14 (because Sarah is one among the 14 persons) 

The overall cost of the tickets is as follows:

120C + 1030F = 6230

The first equation may be used to solve for one of the variables in terms of the other:

C = 14 - F

When we plug this into the second equation, we get:

120(14 - F) + 1030F = 6230

When we simplify this equation, we get:

1680 - 120F + 1030F = 6230

910F = 4550

F = 5

So Sarah purchased five first-class tickets. The first equation may be used to calculate the number of coach tickets:

C + 5 = 14

C = 9

As a result, Sarah purchased nine coach tickets.

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The type of sampling described in the scenario is c. Cluster sampling.

Cluster sampling involves dividing the population into clusters or groups and randomly selecting some of these clusters. In this case, the state is subdivided into counties, which act as the clusters. Seven counties are selected at random, and further sampling is concentrated on these seven counties.

Cluster sampling is commonly used when it is not feasible or practical to directly sample individuals from the entire population. Instead, clusters or groups are randomly selected, and then a sample is taken from each of these clusters. This approach can be more efficient and cost-effective compared to other sampling methods, especially when the clusters are internally heterogeneous.

In this scenario, the initial random selection of the seven counties represents the cluster sampling, as subsequent sampling is focused on these specific clusters.

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Answer: area= bxh

Step-by-step explanation: area = b x h

                                                      = 1.4 x 3

                                                ans= 4.2

The remainder of 30 divided by 775, is 0.0387.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

The number 30 is called the numerator or dividend, and the number 775 is called the denominator or divisor.

The quotient of 30 and 775,

30 divided by 775,

that means,

30/775

= 0.0387, this is the remainder.

Therefore, 0.0387 is the remainder.

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In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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Answer:

9.11

Step-by-step explanation:

Given that,

\(\dfrac{x}{y}=-3\)

We need to find the value of \(\dfrac{x^2}{y^2}+\dfrac{y^2}{x^2}\)

The value of \(\dfrac{y}{x}=\dfrac{-1}{3}\)

So,

\(\dfrac{x^2}{y^2}+\dfrac{y^2}{x^2}=(\dfrac{x}{y})^2+(\dfrac{y}{x})^2\\\\=(-3)^2+(\dfrac{-1}{3})^2\\\\=9+\dfrac{1}{9}\\\\=9.11\)

So, the required answer is equal to 9.11.

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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