What is -12 Greater or equal to 24x

The horizontal asymptote of the function is y=36 and vertical asymptote is x = 6 and its end behavior is f(x)→6.

As the independent variable approaches a certain value, the function approaches asymptotes, but does not cross them. They could be angled, vertical, or horizontal.

ascending asymptotes

There will be a vertical asymptote at x=a if the denominator factor of a rational function, (x - a), is not matched by the same factor in the numerator.

horizontal asymptotes:

When x is large, the value of a rational function approaches the ratio of the highest-degree terms in the numerator and denominator.

Given the function is f(x) = 6x/x-36

limx→±∞ 6x/x-36

= limx→±∞ 6/1-36/x

= 6 ⇒ horizontal asymptote: y = 6

Consider denominator = 0 ↔ x-36 = 0 ↔ x=36

limx→₊₂₅ 6x/x-36

= 6×36/0⁺ = ∞ ⇒ vertical asymptote: x = 36

End behavior of f(x):

As x → -∞ or x → ∞, f(x) → 6.

Hence we get the asymptote and the end behavior of the function.

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Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = \(\frac{kn}{w}\) ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = \(\frac{30k}{6}\) ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = \(\frac{2n}{w}\) ← equation of variation

When w = 5 and n = 40 , then

t = \(\frac{2(40)}{5}\) = \(\frac{80}{5}\) = 16 hours

Answer:

First number: 16

Second number: 50

Third number: 25

Explanation:

Let's call the first number x, the second number y, and the third number z.

The sum of the three numbers is 91, so

x + y + z = 91

The third number is 9 more than the first, so

z = 9 + x

The second number is 2 times the third

y = 2z

Therefore, we have the following system of equations

x + y + z = 91

z = 9 + x

y = 2z

If we solve the second equation for x, we get

z = 9 + x

z - 9 = 9 + x - 9

z - 9 = x

Now, we can replace x = z - 9 and y = 2z on the first equation and solve for z

x + y + z = 91

(z - 9) + (2z) + z = 91

z - 9 + 2z + z = 91

4z - 9 = 91

4z - 9 + 9 = 91 + 9

4z = 100

4z/4 = 100/4

z = 25

With the value of z, we can calculate the values of x and y

x = z - 9

x = 25 - 9

x = 16

y = 2z

y = 2(25)

y = 50

Therefore, the answers are

First number: 16

Second number: 50

Third number: 25

Answer:

9.42

Step-by-step explanation:

Volume of cylinder= πr^2h

Answer:

37.68 yd

Step-by-step explanation:

= \(\pi\)r²h

= (3.14)(1)²(12)

= 3.14 x 1 x 12

= 3.14 x 12

= 37.68 yd

The average number of accidents per day in this scenario is an example of a population parameter.

A population parameter is a numerical value that describes a characteristic of a population. In this case, the average number of accidents per day is a population parameter because it represents the true average number of accidents that occur daily in the entire population of the city. It is an unknown value that we aim to estimate or infer based on available data. The Department of Transportation has noted this average based on their observations and records, which provides an estimate of the population parameter.

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Answer: b) ? · 2 5= 4

d) 4 ÷ 2 5= ?

e) ? ÷ 2 5= 4

The equations that represent the situation are b) ? · 2 5= 4 , d) 4 ÷ 2 5= ?, e) ? ÷ 2 5= 4

The question is asking for an unknown quantity and it is asking to find it by using the 4 and 25, so the equations that represent the situation are the ones that have 4 and 25 in them and have the unknown quantity on one side of the equation and the known quantity 4 on the other side.

a) 4 · 2 5= ? is not a valid equation as it is asking to multiply 4 and 25, which is known and doesn't have any unknown quantity.

c) 2 5÷ 4 = ? is also not a valid equation as it is asking to divide 25 by 4 and doesn't have any unknown quantity.

Step-by-step explanation:

Answer: 0.2 = 2/10

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

Answer:

Step-by-step explanation:

First, convert the z’s to numbers.

3(5) squared - 6(5)

do the squared first

3(25)-6(5)

multiply

75-30=45

Answer:45

Answer:

slope is 3/2

Step-by-step explanation:

you can find slope by comparing the vertical height / horizontal height of two points on the line

for example, we can use points (20,0) and (40,30)

vertical height is 30 minus 0 which is 30

horizontal height is 40 minus 20 which is 20

so slope is 30/20 or 3/2

The value of the expression 9(4 + 9) using the distributive property is 117.

To evaluate the expression 9(4 + 9) using the distributive property, we need to distribute the 9 to both terms inside the parentheses.

First, we distribute the 9 to the term 4:

9 * 4 = 36

Next, we distribute the 9 to the term 9:

9 * 9 = 81

Now, we can rewrite the expression with the distributed values:

9(4 + 9) = 9 * 4 + 9 * 9

Substituting the distributed values:

= 36 + 81

Finally, we can perform the addition:

= 117

Therefore, the value of the expression 9(4 + 9) using the distributive property is 117.

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Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C

Translation is the transformation technique of changing the position of an object on the xy-plane.

Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2

Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C

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Answer:

The second step is Distributive Property and the third is Subtraction Property of Equality

Step-by-step explanation:

The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.

The third step involves the subtraction of "x" from the right hand side and the left hand side.

Answer:

parallelogram, square, rectangle, rhombus

(all)

Step-by-step explanation:

A square is a shape that has four sides equal in length

the little dash-marks on multiple sides are to show that the two sides are of the same dimension/length.

So, if all four sides are marked as equivalent, this must be a square.

And, a parallelogram is a shape with two pairs of parallel sides, meaning that a square/this shape is a parallelogram

However, a square is also a rectangle, because it is a parallelogram with four 90-degrees (interior) angles [which is just a formal definition for what you know to be a rectangle].

AND a square is a rhombus because it has four sides of equal length

a square is a rectangle;  a rectangle is a parallelogram

a square is a rhombus;

a rhombus is a parallelogram; a square is a parallelogram

(and a square is a square)

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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When 8.0 X 10 is rewritten to the -2nd in standard form, 800 is obtained by comprehending negative exponents.

The amount of times a number has been multiplied by itself is referred to as an exponent. For instance, 2 to the third (written as 23) equals 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Keep in mind that a number raised to the power of one equals itself. Exponent is the process of expressing huge numbers in terms of powers. In other words, exponent refers to the number of times a number has been multiplied by itself. For instance, 6 is multiplied by itself four times, yielding 6 6 6 6. This can be expressed as 64.

given

This number is 10 to the power of 2, as the exponent is 2.

Due to the positive exponent, the answer is a number higher than the origin or base number.

We shift the decimal to the right twice to arrive at our conclusion:

8.0.0 -> 800

When 8.0 X 10 is rewritten to the -2nd in standard form, 800 is obtained by comprehending negative exponents.

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For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.

To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.

Given:

S = 26.32 (Initial value)

E = 55 (Expected value)

t = 3 (Years)

Standard deviation = 60% (of the expected value)

3-year interest rate = 2.4%

10-year interest rate = 3.1%

To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.

Minimum value calculation:

Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22

Therefore, the minimum value we would assign is 22.

To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.

Maximum value calculation:

Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88

Therefore, the maximum value we would assign is 88.

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If a person has a slow reaction time that puts them in the top 10% of responses, it means that their reaction time is slower than 90% of the population.

The value that separates the top 10% of responses from the bottom 90% is determined by the distribution of reaction times in the population.

Assuming a normal distribution of reaction times, the value that separates the top 10% of responses from the bottom 90% is the 90th percentile. This means that 90% of the population has a reaction time below this value, while the top 10% have a reaction time equal to or above it.

The specific value that separates the top 10% from the bottom 90% can vary depending on the population being studied and the task being performed. However, in general, a value around 1.5 standard deviations above the mean reaction time would be a reasonable estimate for the 90th percentile.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer: 118

Step-by-step explanation: The reason why is because all of the angles at then end should equal up to 180 degrees. So you would have to add those two angles first then subtract that by 180.

Answer:

así es es una fracción si necesita la respuesta me avisa

The dimensions of the rectangle are:

To find the dimensions of the rectangle:

Let,

Extend the area equation as follows:

Rearrange:

Substitute known information for A:

To solve quickly, factor the left side (or use the quadratic formula):

The factorial solutions for w are -2 and 7/2.

Assuming this is a genuine rectangle, the width must be positive.

As a result, the length is:

That is,

Therefore, the dimensions of the rectangle are:

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The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.

Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer: A. 93

Step-by-step explanation: 180 - (57 + 30) = 97

Answer:

y= 8

Step-by-step explanation:

y= -x +5

To find the value of y when x= -3, substitute -3 into x and solve the equation.

When x= -3,

y= -(-3) +5

y= 3 +5

y= 8

Answer: they must win at least 42 more games

Step-by-step explanation:

We need to know about inequality to solve the given problem. The double inequality to represent the possible length of a gymnastics routine is given by 3≤b≤7.

Inequality is a realtion which makes comparison between numbers or other expressions. Double inequality means when two or more inequalities are joined together. Here in this question we know that each gymnastic routine is at least 3 minutes long. We assume that the length of a gymnastic routine is b, then we can say from the given information 3≤b. It is also said that no gymnastic routine is longer than 7 minutes, so maximum length of any gymnastic routine is 7 minutes, we can write it as, b≤7. Joining these two inequalities we get the double inequality which describes the possible length of a gymnastic routine.

3≤b≤7

Therefore using the concept of inequality we found the double inequality for possible length of gymnastic routine which is 3≤b≤7.

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The coordinates of the center and radius of the given equation of the circle is given by ( 4, -3 ) and 5 respectively.

Equation  of the circle is equal to ,

x² + y² - 8x + 6y = 0

Let us consider (h, k) is the center of the circle and r be the radius.

Standard equation of the circle with ( h, k) as center and 'r' radius is,

(x - h)² + (y - k)² = r²

Complete the square by adding and subtracting constants to both sides of the equation we have,

x² + y² - 8x + 6y = 0

Add 25 both the side of the equation we have,

⇒ x² + y² - 8x + 6y  + 25 = 0 + 25

⇒ x² + y² - 8x + 6y  + 16 + 9 =  25

⇒ (x² - 8x + 16) + (y² + 6y + 9) = 25

⇒ (x - 4)² + (y + 3)² = 5²

Comparing the standard form of equation of the circle we have,

⇒Center of the circle is (4, -3) and the radius is 5.

Therefore, the center of the circle is at the point (4, -3) and its radius is 5.

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The above question is incomplete, the complete question is :

A circle is described by the equation x²+y²-8x+6y=0. what are the coordinates of the center of the circle and the length of its radius?