O is the center of the regular pentagon below. Find its area. Round to
the nearest tenth if necessary.
14

Answer:

42

Step-by-step explanation:

Given:-

The Sum of the Digit of a Two Digit number is 6.

On reversing, the number is 18 less than the original number.

To Find:-

The original Number.

Let the Ones digit be "x"

ten's digit be = (6 - x)

Original Number = x + 10(6 - x) = 60 - 9x

Now, Atq.

One's Digit = (6 - x)

Ten's digit = x

New Number = 10 × x + (6 - x) = 9x + 6.

So,

(New Number) - (Original Number) = 18

(9x + 6 ) - (60- 9x) = 18

9x + 6 - 60 + 9x = 18

18x - 54 = 18

18x = 18 + 54.

18x = 72

x = 72/18

x = 4.

Therefore,

One's Digit = x = 4

Ten's digit = 6 - x = 2

Original Number = 42

Answer:

22%.

Step-by-step explanation:

7/25 = 28%

0.09 = 9%

2/5 = 40%

29% + 9% + 40% = 78%

100% - 78% = 22%

And you have your answer. Hope this helped.

Answer: Infinite

Step-by-step explanation:

Answer:

one solution, r = - 2

Step-by-step explanation:

4(2r - 1) = - 2(3r + 16) ← distribute parenthesis on both sides

8r - 4 = - 6r - 32 ( add 6r to both sides )

14r - 4 = - 32 ( add 4 to both sides )

14r = - 28 ( divide both sides by 14 )

r = - 2

Answer:

6p=30

Step-by-step explanation:

Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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Answer:

Step-by-step explanation:

the triangles are congruent and the factor is 1/2

x=8/2=4

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

Answer:

I think it's 3 - lines and movement

Answer:

My real answer its lines and movements

Step-by-step explanation:

Hope u like my answer

Answer:

A

Step-by-step explanation:

Range = max value - min value = 21

Box plot A has a max of 26 and a min of 5

Range of box plot A = 26 - 5 = 21

✔️Box plot A has a range of 21

Interquartile range = Q3 - Q1

Q3 of Box plot A = 20

Q1 of Box plot A = 9

✔️Interquartile Range of Box plot A = 20 - 9 = 11

✔️Range of Box plot A is the value at the vertical line that divides the box = 14.

Answer:

c = 22

Step-by-step explanation:

To solve for c, you need to isolate it from the coefficient, 4, by dividing 4.

88 divided by 4 is 22, so c = 22.

Hope this helps!

Please give brainliest

Answer:

22

Step-by-step explanation:

4c=88, you have 4 groups of c on the left, so you need to divide by four on         the left, but whatever you do to one side you do to the other

4c/4=88/4, the two fours on the left side cancel each other out

c=88/4

c=22

The subjects who gave the highest speed estimates were likely those who were most confident in their answers and most willing to take risks in their estimates.

Those who were less confident and more hesitant to take risks would likely give lower estimates, while those who were more confident and willing to take risks would give higher estimates. Additionally, the subjects who had prior knowledge of the speed at which cars typically travel may have given higher estimates than those who did not have that knowledge. Finally, any subjects who were predisposed to overestimate due to a bias towards overestimating in general would have likely given the highest speed estimates.The subjects who gave the highest speed estimates in Elizabeth Loftus's study were likely those who had the highest levels of anxiety and/or were the most emotionally involved in the film. These individuals may have had difficulty accurately assessing the speed of the cars due to their heightened emotional state, and thus reported higher speeds than were actually observed. Additionally, people who were more familiar with cars and driving may have been more likely to give higher speed estimates due to their greater understanding of the physics involved. It is also possible that some individuals may have been influenced by the expectations of the experimenters, and thus reported higher speeds than what they actually observed.  

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Answer:

Felix knows that everything that fits in his bookbag will fit in his suitcase. His laptop fits in his bookbag, so he concludes that the laptop will fit in his suitcase.

The school’s schedule states that lunch period is from 12 p.m. to 1 p.m. Eric concludes that it is after 12:00 p.m. because it is currently the lunch period.

Step-by-step explanation:

Given the following quadratic expression:

Let's check if the given equation can be solved by factoring.

a.) Let's determine the original equation.

From the original equation, we observed that the constant 155/9 is not a perfect square. For the original quadratic equation to be factorable, we must apply the method of completing the square.

Therefore, we can say that the original quadratic equation can't be solved by factoring.

The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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Answer: The standard answer would be 4.612258099 × 10.

Step-by-step explanation: Pls give me brainliest. It might help w/ my depression. :\

Answer:

I would say the last one

Step-by-step explanation:

Answer:

42/45

Step-by-step explanation:

The correct answer of the operation is option B: 4x^2 - 9.

To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:

First: Multiply the first terms of each binomial.

(2x)(2x) = 4x^2

Outer: Multiply the outer terms of each binomial.

(2x)(3) = 6x

Inner: Multiply the inner terms of each binomial.

(-3)(2x) = -6x

Last: Multiply the last terms of each binomial.

(-3)(3) = -9

A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.  

Now, let's combine the like terms:

4x^2 + 6x - 6x - 9

Notice that the terms 6x and -6x cancel each other out.

Simplifying further, we have:

4x^2 - 9

The correct answer is option B: 4x^2 - 9.

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The real values of x are -10 and 10

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

(x^2 - 82)^2 = 324

Take the square roots of both sides

So, we have

x^2 - 82 = 18

Add 82 to both sides of the equation

So, we have the following representation

x^2 = 100

Take the square root of both sides

x = -10 and x =10

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Answer:

Step-by-step explanation:

x+2/3=2

multiply by 3

3x+2=6

3x=6-2

3x=4

x=4/3

if it is (x+2)/3=2

multiply by 3

x+2=6

x=6-2=4

Answer:

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

Step-by-step explanation:

\(x+\frac{2}{3}=2\)

to find the value of x we subtract 2/3 on both sides

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

taking LCM AS 3

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

\(x=\frac{6}{3}-\frac{2}{3}\)

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

\(i hope this will help you:)\)

The irreducible quadratic functions among the given options are:

1. x^2 + 9

2. 4x^2 + 1

A quadratic function is irreducible if it cannot be factored further into linear factors with integer coefficients. To determine if a quadratic function is irreducible, we need to check if it has any rational roots. If a quadratic function has no rational roots, it is irreducible.

Let's analyze each given quadratic function:

1. x^2 - 2x + 3

We can check if this quadratic has rational roots by applying the quadratic formula. For the quadratic equation ax^2 + bx + c = 0, the quadratic formula states that the roots are given by x = (-b ± √(b^2 - 4ac))/(2a). For this function, a = 1, b = -2, and c = 3. Evaluating the discriminant, b^2 - 4ac = (-2)^2 - 4(1)(3) = -8, we see that the discriminant is negative. Since the discriminant is negative, the quadratic function has no rational roots, making it irreducible.

2. x^2 + 10x + 27

We can again apply the quadratic formula to check if this quadratic function has rational roots. In this case, a = 1, b = 10, and c = 27. The discriminant b^2 - 4ac = 10^2 - 4(1)(27) = -56, which is negative. Therefore, this quadratic function also has no rational roots and is irreducible.

3. x^2 + 9

This quadratic function has no linear term, only a constant term of 9. It does not have any rational roots because the quadratic formula will yield imaginary roots. Hence, this quadratic function is irreducible.

4. x^2 - 1

This quadratic function can be factored as a difference of squares: x^2 - 1 = (x + 1)(x - 1). Since it can be factored further into linear factors with integer coefficients, it is not irreducible.

5. 4x^2 + 1

This quadratic function cannot be factored further since it does not have rational roots. Hence, it is irreducible.

In summary, the irreducible quadratic functions among the given options are x^2 + 9 and 4x^2 + 1.


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The work required to pump the liquid out of the bucket is approximately 2.482 x 10⁷ Joules.

To create a bucket by rotating around the y-axis, we will use the formula for volume of revolution:

V = π ∫[a,b] (f(y))² dy where f(y) is the function being rotated, and a and b are the limits of integration.

In this case, the limits of integration are y = 0 and y = 3, and the function being rotated is y = 4 ln(x - 4), or x = e⁽y/⁴⁾ + 4.

So, we have:

V = π ∫[0,3] ((e⁽y/⁴⁾ + 4))² dy

V = π ∫[0,3] (e⁽y/²⁾ + 8e⁽y/⁴⁾+ 16) dy

V = π (2e⁽³/²⁾ + 32e⁽³/⁴⁾ + 48)

Now, to find the work required to pump the liquid out of the bucket, we need to use the formula:

W = ∫[h1,h2] ρgV(y) dy

where h1 is the height of the liquid (2 meters in this case), h2 is the height of the top edge of the bucket, ρ is the density of the liquid (860 kg/m^3), g is the acceleration due to gravity (9.8 m/s²), and V(y) is the volume of the liquid at height y.

To find V(y), we need to first find the radius of the bucket at height y.

The radius is given by: r(y) = e⁽y/⁴⁾+ 4

So, the volume of the liquid at height y is:

V(y) = π(r(y))² (h2 - y)

Plugging in the values, we have:

W = ∫[0,2] 860×9.8×π((e⁽y/⁴ + 4)²)×(2-y) dy

W = 2.482 x 10⁷J

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Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

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Answer:

2

Step-by-step explanation:

G/2 = 4

(G/2) × 2 = 4 × 2

G = 8

Answer:

Step-by-step explanation:

The angle x° is equla to 1/2 the measure of the difference of the intercepted arcs.  if the measure of ∠O is 157° then the other arc is 360- 157 = 203°.

The difference between 203 - 157 = 46°.

Half of 46° is 23° which is the solution.

The result of multiplying 2y (one-fourth y + three-fourths) is one-half y squared + 6 over 4 y

2y(1/4y + 3/4)

= (2y × 1/4y) + (2y × 3/4)

= 2/4y² + 6/4y

= 1/2y² + 3/2y

Given options:

= 9/4y + 11/4

= 1/2y + 6/4

= 1/2y² + 6/4y

9/4y² + 11/4y

Therefore, the result of multiplying 2y (one-fourth y + three-fourths) is one-half y squared + 6 over 4 y

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Answer: C.

one-half y squared + 6 over 4 y

Answer:

Sales Tax = 22.80

Sales Tax Rate = 22.80/380 x 100 = 6^

Step-by-step explanation:

Answer: 8%

Step-by-step explanation:

If the tax for the item was $30.40 and it cost $380  before  tax then to find the sale tax rate you will divide the tax by the total sale price.

30.40 / 380 =  0.08

To convert 0.08 to a percent multiply it by 100

0.08 * 100 = 8 %

The proportion of trick-or-treaters who were not dressed as cowboys is 10/13.

If three out of every thirteen trick-or-treaters were dressed as cowboys, it means that the proportion of trick-or-treaters dressed as cowboys is 3/13.

To find the proportion of trick-or-treaters who were not dressed as cowboys.

we subtract the proportion dressed as cowboys from 1 (since the total proportion of trick-or-treaters must sum to 1).

Proportion not dressed as cowboys = 1 - Proportion dressed as cowboys

Proportion not dressed as cowboys = 1 - (3/13)

Proportion not dressed as cowboys = (13/13) - (3/13)

Proportion not dressed as cowboys = 10/13

Therefore, the proportion of trick-or-treaters who were not dressed as cowboys is 10/13.

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