4x squared + x squared ​

Answer:

x-23

Step-by-step explanation:

if the number is x then you want to take 23 away so you have x-23

Answer:

Graph coloring is a widely used concept in real-world situations, particularly in computer science and engineering. It involves assigning colors to the vertices of a graph, with no adjacent vertices having the same color. One real-world application of graph coloring is in scheduling problems, where tasks must be assigned to resources such as workers or machines, with the constraint that no two tasks requiring the same resource can be scheduled at the same time. Another application is in map coloring, where regions on a map are assigned colors in such a way that no two adjacent regions have the same color.

Challenges and limitations associated with using graph coloring algorithms include the exponential increase in computation time as the size of the graph increases, making it difficult to apply the algorithm to very large graphs. Additionally, some graph coloring problems may be NP-hard, meaning that no polynomial-time algorithm is known that can solve them for all possible inputs. This can make it challenging to find an optimal solution, and instead approximate solutions may need to be used.

For example, in telecommunication networks, channel assignment is a common problem of graph coloring. In mobile networks, different channels must be assigned to different cells to avoid interference and ensure efficient use of resources. The channel assignment problem can be formulated as a graph coloring problem, where the vertices represent cells and the edges represent interference.

Another example is in scheduling of sports leagues. In this case, teams are assigned to play on different days and times in such a way that no two teams play against each other more than once and no team plays two games on the same day. This can be formulated as a graph coloring problem, with vertices representing teams and edges representing games between teams.

In conclusion, graph coloring algorithms have numerous real-world applications. While there are challenges and limitations associated with these algorithms, they continue to be an important tool for solving optimization problems in a wide range of fields.

Step-by-step explanation:

a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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Answer:

i dont have a premium

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 3

2

3

3

+

2

4

3

3

−

3

6

2

3                                                                              

Step-by-step explanation: my diclk

Answer: 2m^2n^3

Step-by-step explanation:

I'm assuming this is the expression:

\(-\:24m^3n^3\:+\:32m^3\:n^3x\:-\:18m^2\:x^2n^3\)

Factor 24m^3n^3 by separating all terms (use 2's and 3's as all terms are divisible by them):

\(2\cdot \:2\cdot \:2\cdot \:3\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\)

Factor 32m^3n^3x:

\(2\cdot \:2\cdot \:2\cdot \:2\cdot \:2\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x\)

Factor 18m^2x^2n^3:

\(2\cdot \:3\cdot \:3\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x\cdot \:x\)

Common factor (terms that are present in all factored expressions):

\(2\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\)

Simplify to:

\(2m^2n^3\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 40}}{\left( \cfrac{15}{100} \right)40}\implies \text{\LARGE 6}\)

the correct option is 1: The pyramid is cut with a plane passing through the top vertex and not perpendicular to the base

What is trapezoidal ?

Trapezoidal is an adjective that describes something that has a shape similar to a trapezoid. A trapezoid is a four-sided, two-dimensional geometric shape with two parallel sides (called bases) and two non-parallel sides (called legs or lateral sides). The trapezoid is also sometimes referred to as a trapezium in other countries.

A trapezoidal shape can refer to any object or figure that has a trapezoid-like shape or a cross-section that is trapezoidal. For example, a pyramid with a trapezoidal base has a trapezoidal shape. Similarly, a road that has a cross-section that is wider at the top and narrower at the bottom can be described as having a trapezoidal shape.

If the pyramid has a trapezoidal cross-section, then there are two parallel bases and four trapezoidal faces that connect them.

If a plane passes through the top vertex and is perpendicular to the base, it will intersect all four trapezoidal faces of the pyramid, creating a trapezoidal shape. Therefore, option 2 is incorrect.

If a plane is parallel to the base, it will intersect only one of the trapezoidal faces of the pyramid, creating a parallelogram. Therefore, option 3 is incorrect.

If a plane is perpendicular to the base but not passing through the top vertex, it will intersect the pyramid in a way that does not create a trapezoidal shape. Therefore, option 4 is incorrect.

Therefore, the correct option is 1: The pyramid is cut with a plane passing through the top vertex and not perpendicular to the base. This will create a trapezoidal shape as the plane intersects two of the trapezoidal faces of the pyramid.

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Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

one fifth

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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5. The addition of the 3 internal angles of a triangle is equal to 180°, then

x° + 43° + 75° = 180°

x° = 180° - 43° - 75°

x = 62°

6. angle x and angle y are supplementary, then

x° + y° = 180°

Replacing with the value found for x,

62° + y° = 180°

y° = 180 - 62

y = 118°

7. angle y and angle z are opposite, then

y = z

as was stated before,

x + y = 180° or y + x = 180

angle x and angle z are supplementary, then

x + z = 180°

Answer:

x+75+43=180 (angel sum property)

x=180-75-43

x=180-118

x=62

value of y

y=43+75

y=118

Answer:

Sorry, this answer has been removed and the account has been banned for 17 hours, 19 minutes and 52 seconds

Step-by-step explanation:

Answer:

Were is the problem?

Step-by-step explanation:

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

100/3

Step-by-step explanation:

duh

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

3

Step-by-step explanation:

It depends on the denominator

For 3 where comparing 16 to 24

Of course its going to be 16

Hope this helps!

Answer:

\(8 - 3x > -25 : \left[\begin{array}{ccc}solution: x < 11\\Interval Notation:(-\infty,11)\end{array}\right]\)

Step-by-step explanation:

\(8-3x>-25\)

Subtract \(8\) from both sides:

\(8-3x-8>-25-8\)

Simplify:

\(-3x>-33\)

Multiply both sides by \(-1\) (reverse the inequality):

\(\left(-3x\right)\left(-1\right)<\left(-33\right)\left(-1\right)\)

Simplify:

\(3x<33\)

Divide both sides by \(3\) :

\(\frac{3x}{3}<\frac{33}{3}\)

Simplify:

\(x < 11\)

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

if we will divide 137 with 100 and then multiply it with 680 you will gett your answer

the answer is 931.6

Answer:

931.6

Step-by-step explanation:

We need to change the percent to decimal form.

137%  = 1.37

Multiply this by 680.

1.37 * 680

931.6

Answers:

==========================================

Explanations:

Answer:

multiply the length value by 3

so its 3 foot

Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

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Answer:

Step-by-step explanation:

(12-3)/2 = 9/2

(-5-3)/2= -8/2= -4

(9/2, -4)

Answer:

its A

Step-by-step explanation:

i plugged the equation into desmos, and A is the right answer.

If the random variable X is normally distributed with mean = 82 and standard deviation = 5 , then P(X<80) = 0.3446 .

The z score of a normal distribution can be calculated using the formula

z=(x-μ)/σ .

The given question is normally distributed ,

with the mean(μ) = 82

and the standard deviation(σ) = 5 .

the probability

P(X<80) can be calculated using

P(X<80)= P((x-μ)/σ  < (80-82)/5)

= P(z < -0.4)

Using the z-score table we get

= 0.3446

Therefore , if the random variable X is normally distributed with mean = 82 and standard deviation = 5 , then P(X<80) = 0.3446 .

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Unit rate of (1 /5 barrel) / (1/2hour) is equals to (2/5) barrels /hour.

What is unit rate?

"Unit rate is defined as the representation of the ratio of the two different units with value of the denominator equals to 1."

According to the question,

Given,

1/5 barrel/1/2 barrel

⇒ (1/2) hour = (1/5) barrel

⇒ 1 hour = (2/5) barallel

⇒ (2/5) barrel per one hour.

Therefore,

Unit  rate of given value is rewritten as

2/5 barrel/hour

hence option b is correct.

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Your question is incomplete. Please find the missing content below.

Rewrite 1/5 barrel 1/2 hour as a unit rate.

A. 2 1/2 barrel/hour

B. 2/5 barrel/hour

C. 10 barrels/hour

D. 1/10 barre./hour

The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

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Answer:

$3,500

Step-by-step explanation:

500:3

3x7=21

500x7=3,500

$3,500 for 21 cilents

Answer:

3,500 is the answer of this question