show me how to take out LCM of 18 & 45

Answer:

B. cos 38° = 17/c

Explanation:

In the right triangle:

The complementary angle to 52 degrees = 38 degrees.

Therefore, option B is correct.

Answer:

The greatest common factor of 5ab^2 and 15ab^3 is 5ab^2

The greatest common factor between the two expressions will be 5ab²

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Here the two numbers are:-

5ab² and 15ab³ or 5ab² and 5ab² x b

So we can see that the highest common factor between the two numbers will be  5ab².

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The solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

What is square of a number?

The square of a number is the result of multiplying the number by itself. In mathematical notation, the square of a number "\(x\)" is written as "\(x^2\)".

Let's call the number we are looking for "x".

According to the problem statement, we have:

\($$x^2 = 6 - x$$\)

We can rearrange this equation to get:

\($$x^2 + x - 6 = 0$$\)

Now, we can factor the left-hand side of this equation:

\($$(x + 3)(x - 2) = 0$$\)

So, either \($x + 3 = 0$\) or \(x - 2 = 0$.\) Solving for x in each case gives us:

\($$x = -3 \text{ or } x = 2$$\)

Therefore, the solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

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The product of two linear functions having same variables will be a quadratic function where as the The product of two linear functions having different variables will be a linear function.

Linear function is the function whose degree is 1.

Degree of a function is the highest power of the variable of the function.

Let us take two examples.

1. Suppose the two linear functions are -

f(x) = 2x + 3 and g (x) = x + 5

The product of f(x) and g(x) will be

(2x + 3)(x + 5)

=2x (x + 5) + 3 (x + 5)

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

Here, f(x) and g(x) are the functions having same variables so there product is a quadratic function.

2. Suppose the two linear functions are -

f(x) = 2x + 3 and g (y) = y + 5

The product of f(x) and g(y) will be

(2x + 3)(y + 5)

=2x (y + 5) + 3 (y + 5)

= 2xy + 10x + 3y + 15

Here, f(x) and g(y) are the functions having different variables so there product is a linear function.

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Answer: D

Step-by-step explanation:

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Answer: 16/5 or 3.2

Steps:

=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1

=> 16/5 or 3.2 (answer)

Answer:  4*4^2= 64

text me on brainly fo the other answer i don't have time

Step-by-step explanation:

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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The coordinates for graph are (4, -3)(-8, 6)(8, -6)(-4, 3)(0, 0).

Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.

Given, equation

2/3y = -1/2x

according to option

when x = 0

y = 0

(0, 0)

when x = 4

2/3y = -1/2(4)

y = -3

(4, -3) and similarly (-4, 3)

when x = 8

2/3y = -1/2(8)

2/3y = -4

y = -6

(8, -6) similarly (-8, 6)

Hence the coordinates for equation are  (4, -3)(-8, 6)(8, -6)(-4, 3)(0, 0).

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Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

Answer:

(0,-2) (3,-4) (6,-6)

Step-by-step explanation:

I think you start at (0,-2) then go over 3 to the right and down 2 since it's negative each time

This is an example of a survey or sampling technique called systematic sampling. The students are selecting every 10th student from the population (in this case, the population is the entire student body) to survey.

This technique can be useful when the population is too large to survey everyone or when a random sample is difficult to obtain. By using systematic sampling, the students can obtain a representative sample of the student body without having to survey every single student.

However, it's important to note that systematic sampling can introduce bias if there is a pattern or structure in the population that is related to the sampling interval. For example, if every 10th student is in a particular grade level or section of the school, this could skew the results of the survey. To mitigate this potential bias, researchers should ensure that the sampling interval is random and that they are not selecting every nth person based on any identifiable characteristics.

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

5

Step-by-step explanation:

5 would be your exponent because you count the number of zeros in the number and that is how many times you time 10 by 10

Answer:

The number of flowers on the plant

Step-by-step explanation:

Answer:

C: Number of flowers on the plant

Step-by-step explanation:

i got it right on my test

Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

With the help of probability we can say that, DUM={GG,BB,GB,BG).

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

hence, DUM={GG,BB,GB,BG)

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Answer:

Hopes this helpsss plz mark brainliest

Step-by-step explanation:

Answer:

the following system of inequalities is true

Step-by-step explanation:

there is no solution because the graph do not intersect

There is no solution because the graph does not intersect.

The following system of inequalities is true.

We have given that,

There is no solution because the shading does not overlap.

There is no solution because the graphs do not intersect.

The solution contains points in four quadrants of the coordinate plane.

The solution is equal to the solution to

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

There is no solution because the graph does not intersect.

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Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

Step-by-step explanation:

Number of electronic systems = 6

(a) Number of defected systems = 2

Probability of getting at least one system is defective

1 defective and 1 non defective + 2 defective

= (2 C 1 ) x (4 C 1) + (2 C 2) / (6 C 2)

= 3 / 5

(b) four defective

Probability of getting at least one system is defective

2 defective and 2 non defective + 3 defective and 1 non defective + 4 defective  

= (4 C 2 ) x (2 C 2) + (4 C 3 )(2 C 1) + (4 C 4) / (6 C 4)

= 1

Answer:

(a)P(At least one defective)\(=0.6\)

P(Both are defective)\(=0.067\)

(b)P(At least one defective)\(=14/15\)

P(Both are defective)\(=0.4\)

Step-by-step explanation:

We are given that

Total number of complex electronic system, n=6

(a)Defective items=2

Non-defective items=6-2=4

We have to find the  probability that at least one of the two systems tested will be defective.

P(At least one defective)=\(\frac{2C_1\times 4C_1}{6C_2}+\frac{2C_2\times 4C_0}{6C_2}\)

Using the formula

\(P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}\)

P(At least one defective)\(=\frac{\frac{2!}{1!1!}\times \frac{4!}{1!3!} }{\frac{6!}{2!4!}}+\frac{\frac{2!}{0!2!}\times \frac{4!}{4!}}{\frac{6!}{2!4!}}\)

Using the formula

\(nC_r=\frac{n!}{r!(n-r)!}\)

P(At least one defective)\(=\frac{2\times \frac{4\times 3!}{3!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}+\frac{1}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(At least one defective)\(=\frac{2\times 4}{3\times 5}+\frac{1}{3\times 5}\)

P(At least one defective)\(=\frac{8}{15}+\frac{1}{15}=\frac{9}{15}\)

P(At least one defective)\(=\frac{3}{5}=0.6\)

Now, the probability that both are defective

P(Both are defective)=\(\frac{2C_2\times 4C_0}{6C_2}\)

P(Both are defective)=\(\frac{\frac{2!}{0!2!}\times \frac{4!}{4!}}{\frac{6!}{2!4!}}\)

P(Both are defective)\(=\frac{1}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(Both are defective)\(=\frac{1}{3\times 5}\)

P(Both are defective)\(=0.067\)

(b)

Defective items=4

Non- defective item=6-4=2

P(At least one defective)=\(\frac{4C_1\times 2C_1}{6C_2}+\frac{4C_2\times 2C_0}{6C_2}\)

P(At least one defective)\(=\frac{\frac{4!}{1!3!}\times \frac{2!}{1!1!} }{\frac{6!}{2!4!}}+\frac{\frac{4!}{2!2!}\times \frac{2!}{2!}}{\frac{6!}{2!4!}}\)

P(At least one defective)\(=\frac{2\times \frac{4\times 3!}{3!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}+\frac{\frac{4\times 3\times 2!}{2!\times 2\times 1}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(At least one defective)\(=\frac{2\times 4}{3\times 5}+\frac{2\times 3}{3\times 5}\)

P(At least one defective)\(=\frac{8}{15}+\frac{6}{15}=\frac{8+6}{15}\)

P(At least one defective)\(=\frac{14}{15}\)

P(Both are defective)\(=\frac{4C_2\times 2C_0}{6C_2}\)

P(Both are defective)\(=\frac{\frac{4\times 3\times 2!}{2\times 1\times 2!}\times \frac{2!}{2!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(Both are defective)\(=\frac{\frac{4\times 3\times 2\times 1}{2\times 1\times 2\times 1}}{3\times 5}\)

P(Both are defective)\(=\frac{6}{15}=0.4\)

P(Both are defective)\(=0.4\)

The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

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Answer:

L(t)=34t

Step-by-step explanation:

the total length is equal to the number of bundles multiplied nu the length of each bundle.

Answer:

x = 12

Step-by-step explanation:

5y+2(3y-1)=xy-(y-2)   =

Distribute and simplify

5y+6y-2=xy-y-2   =

Simplify and combine like terms

11y-2 = xy - y - 2 =

Add 2 to both sides and add y to both sides

12y = xy

Divide both sides by y

12 = x

Using the dot plot, it is found that the correct option regarding the distribution is given by:

C The distribution is right-tailed.

The dot plot shows the number of times each measure appears in the data-set.

In the given dot plot, that has points (0,8), (1,10), ..., (8,1), most measures are at the small values, and as the input increases, the measures decreases, hence the graph has a right-tailed distribution, which means that option C is correct.

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