Evaluate x3 + y5
When x = -5, y = 8

The combination of boards could John use for the triangular supports is 7 ft, 6 ft, 2 ft

We need to find the combination of boards could John use for the triangular supports through the triangle inequality theorem.

The triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side.

A) 3ft , 9ft, 5 ft

3 + 5 < 9

so it cannot form a triangle

B) 6 ft, 8 ft, 15 ft

6 + 8 < 15

so it cannot form a triangle

C 4 ft, 7 ft, 12 ft

4 + 7 < 12

so it cannot form a triangle

D 7 ft, 6 ft, 2 ft

6 + 2 > 8

it can form a triangle

Therefore, the combination of boards could John use for the triangular supports is 7 ft, 6 ft, 2 ft

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Answer:

f = \(\frac{g}{r}\)

Step-by-step explanation:

g = fr ( isolate f by dividing both sides by r )

\(\frac{g}{r}\) = f

The problem states that a cylinder and a cone have same volume. The cylinder has a radius of 8 inches and a height of 6 inches, while the cone has a radius of 12 inches. We have to determine the height of the cone.

The volume of a cylinder is calculated using the formula V = πr^2h, where V represents the volume, r is the radius, and h is the height. Similarly, the volume of a cone is given by V = (1/3)πr^2h. Since the cylinder and the cone have the same volume, we can equate their volume formulas:

π(8^2)(6) = (1/3)π(12^2)(h)

Simplifying the equation, we have:

384π = 144πh

Dividing both sides by 144π, we find:

h = 384/144 = 2.67

Therefore, the height of the cone is approximately 2.67 inches. None of the given options match this value, so the correct answer is not provided among the options.

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Answer:

Not bad goodjob

Step-by-step explanation:

Answer:

I like it, it reminds me of the old episode app. Brings back memories lol

Keep it going :)

22 positive integers n with  500 have square roots that can be expressed in the form a where a and b are integers with a 10.

An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (−1, −2, −3, etc.). A negative number is the additive reciprocal of the corresponding positive number. In math language, the set of integers is often denoted by bold Z or bold Z.

The set of natural numbers N is a subset of Z, which in turn is a subset of the set of all rational numbers Q , itself the real number R  is a subset of Z just like the natural numbers. Integers can be thought of as real numbers that can be written without a fractional part.

According to the Question:

sqrt (121) = 11sqrt(1)

sqrt (242) = 11sqrt(2)

sqrt(363) = 11sqrt(3)

sqrt (484) = 11sqrt(4)  

                =  22sqrt(1)

Therefore, 22 positive integers n with  500 have square roots that can be expressed in the form a where a and b are integers with a 10.

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Answer:

22

Step-by-step explanation:

When P is not on the line l, the image and pre-image are: a. parallel.

In Geometry, a dilation is a type of transformation which typically transforms the dimensions or side lengths of a geometric object, without affecting its shape.

Generally speaking, a dilation is not a rigid transformation because it can preserve angle measure, orientation, perpendicular lines, betweenness of points, parallel lines, and collinearity in any geometric figure.

In conclusion, we can reasonably infer and logically deduce that the the image and pre-image are still parallel lines when P is not on the line l.

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Answer:

The answer is five and D.

Answer:

E

Step-by-step explanation:

As you can see, A is closest to -4 on the line. Each gaps on the line is 4-0=4, so the point which B on is 4+4=8. Finally, the answer is 8-(4)=12

The required diameter of dwarf planet is \(10^{6} m\).

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The given statement is the diameter of 3 planet is

planet A= \(10^{9} m\)= 1000000000m

planet B=\(10^{7} m\)=10000000m

planet C= \(10^{8} m\)=100000000m

According to given question we have

A dwarf planet is discovered with a radius is 1/100 times of radius of planet C.

Radius of planet C =100000000/2=  50000000m

Radius of  dwarf planet = 1/100 times of radius of planet C.

Radius of  dwarf planet = 1/100 * 50000000m

Radius of  dwarf planet = 500000 m=\(5*10^{5} m\)

Diameter of dwarf planet =2*500000 m=1000000 m=\(10^{6} m\)

Therefore, the required diameter of dwarf planet is \(10^{6} m\).

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Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

The probability of more than $225 is 0.35197.

Here we need to find the probability of more than $225.

We need to calculate the z-score associated with x = $225

Z(score) = 225 - 204 / 55

= 0.381818

z(score) = 0.38

For z = 0.38 the corresponding probability is P(z < 0.38) = 0.64803.

Here we have to find the values greater than this value:

P(z > 0.38) = 1 - P (z < 0.38)

P( z > 0.38) = 0.35197

So the probability that a hotel room costs 225 or more per night is P (x > 225) = 0.35197 and the percentage is 35.197%.

Therefore the probability is 0.35197.

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The measures of the angles of a triangle are in the ratio of 2:3:5, then the actual measures of the angles are 36 degrees, 54 degrees, and 90 degrees.

If the measures of the angles of a triangle are in the ratio of 2:3:5, then the expressions 2x, 3x, and 5x represent the measures of these angles.

To find the actual measures of these angles, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.



Let's say that the measures of the angles are 2y, 3y, and 5y (where y is some constant).

Using the fact that the sum of the angles in a triangle is 180 degrees, we can set up an equation:

2y + 3y + 5y = 180

Simplifying, we get:

10y = 180

Dividing both sides by 10, we get:

y = 18

Now we can substitute y = 18 back into our expressions for the angle measures:

2y = 2(18) = 36

3y = 3(18) = 54

5y = 5(18) = 90

So the measures of the angles are 36 degrees, 54 degrees, and 90 degrees.

Therefore, if the measures of the angles of a triangle are in the ratio of 2:3:5, then the actual measures of the angles are 36 degrees, 54 degrees, and 90 degrees.

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Analysis means examining the whole in order to learn about the individual elements. Correct option is b).

Analysis involves breaking down a complex system or situation into smaller parts in order to understand how they work together. This process allows for a more detailed examination of the individual components, which can then be studied in isolation or in relation to one another.

Analysis is a critical part of problem-solving and decision-making, as it enables us to identify patterns and relationships that might not be immediately apparent. By analyzing a situation or system, we can gain a deeper understanding of its strengths, weaknesses, opportunities, and threats, which can inform our strategic planning and risk management efforts. Correct option is b).

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Answer:

T = (0, 2b)

A = (a, 4b)

Step-by-step explanation:

The expression that is equivalent to -5/8-(-1/8-1/8) will be C. - 3/8.

Arithmetical statements that have at least two terms connected by an operator and containing either numbers, variables, or both are regarded to as expressions. Mathematical operations involve addition, subtraction, multiplication, and division. The expression x + y, for example, consists of the terms x and y with an addition operator in between them.

The expressions are equivalent to -5/8-(-1/8-1/8) will be:

= -5/8 - (-1/8 - 1/8)

=  -5/8 - (2/8)

= - 5/8 + 2/8

= - 3/8

Therefore, the correct option is C.

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which of the following expressions are equivalent to -5/8-(-1/8-1/8)

-7/8

-5/8

-3/8

-1/2

Using proportions, it is found that the estimate of the the per capita consumption from 2011 was of 29.25 gallons.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount in 2012 was a increase of 5.3% from 2011, that is, 105.3% = 1.053 of x, and the consumption per capita was of 30.8 gallons, hence:

1.053x = 30.8

x = 30.8/1.053

x = 29.25 gallons.

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Answer:

B

Step-by-step explanation:

It is B because it just is

The perimeter of the playground is 520 yards.

Each two-dimensional closed shape's perimeter is defined as the whole distance encircling it. The perimeter of a polygon, such as the following:

We can conclude here

a = b = 13 unit

and, c = d = √12² + 5² = √144 + 25 = √169 = 13 unit

So, the perimeter is

= 13 x 4 x 10

= 520 yards

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Joshua should continue continue buying the coffee until the marginal benefit equals to the marginal cost.

The marginal benefit simply means the maximum amount that a consumer is willing to pay for an additional good or service.

From the complete information, Joshua should keep buying coffee through the evening until the marginal benefit of purchasing one more coffee equals the marginal cost.

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12!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

73² - 27² = 5329 - 729

= 4600

your welcome. Mark Me Brainliest

Answer:

see explanation

Step-by-step explanation:

Given

\(\frac{\frac{1}{x} }{(\frac{1}{x})^2+1 }\)

= \(\frac{\frac{1}{x} }{\frac{1}{x^2}+1 }\)

Multiply numerator/ denominator by x² to clear the fractions

= \(\frac{\frac{1}{x}(x^2) }{(\frac{1}{x^2}+1)x^2 }\)

= \(\frac{x}{1+x^2}\)

= \(\frac{x}{x^2+1}\)

The quotient of the rational expressions shown above is given by, Answer: option (C) 7x²/6x-10

To simplify the expression 7x² / 3x-5 / 2x+6 / x+3

We need to perform the following steps:

Invert the divisor.

Change the division to multiplication.

Factor the numerator and denominator.

First, divide the first term in the numerator (7\(x^2\)) by the first term in the denominator (2x) to get 3.

Then multiply (2x + 6) by 3 to get 6x + 18 Subtract this from the numerator.

2x + 6 | 7\(x^2\) + 3x - 5

- (6x + 18)

_______

-3x - 23

Then subtract the following term from the numerator: -3x.

Dividing -3x by 2x gives -3/2.

Multiply (2x + 6) by -3/2. The result is -3x - 9.

Subtract this from the previous result.

3 - (3/2)x

_________

2x + 6 | - 14

The result of polynomial long division is -14.

Therefore, the quotient of the rational expression is (7\(x^2\) + 3x - 5) / (2x + 6) -14.

So the correct answer is option D: -14.

Cancel out any common factors.

Multiply the remaining terms to get the answer.

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Answer:

$12/ 1 hour of work

Step-by-step explanation:

30 : 2/12

Divide both sides by 2 1/2

12 : 1

Answer:

<XYZ = 42º

acute

Step-by-step explanation:

hi! the work is attached. hope this helps you out. make sure to still check the answers though just to be safe. good luck! :)

1 False

2 True

3 False

4 False

You are correct that statement 1 is false. The covariance of two random variables being zero does not necessarily imply that the random variables are independent. Independence requires that the joint probability distribution of the two variables factorizes into the product of their marginal probability distributions.

Statement 2 is true. The continuity correction is used when approximating probabilities pertaining to a continuous random variable with a discrete distribution, such as using a normal approximation to estimate probabilities of a binomial distribution. It helps to account for the discrepancy between continuous and discrete distributions.

Statement 3 is false. Mutually exclusive events, by definition, cannot occur simultaneously. However, this does not imply independence. Independence requires that the occurrence of one event does not affect the probability of the other event, regardless of whether they are mutually exclusive or not.

Statement 4 is also false. Even if X and Y are independent random variables and their moments exist, the expectation of the product of X and Y, E[XY], may not be equal to the product of their individual expectations, E[X]E[Y]. This equality holds only if X and Y are uncorrelated, not just independent.

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We can subtract the number 5 from 25 five times.

To find out how many times you can subtract the number 5 from 25, you need to perform a division operation. Divide 25 by 5 and you will get the answer.

To see why, consider that the first time you subtract 5 from 25, you get 20. The second time you subtract 5 from 20, you get 15. Continuing this process, you get 10, 5, and finally 0 after the fifth subtraction.

If you try to subtract 5 from 0 again, you would end up with a negative number, which does not make sense in this context. Therefore, you can only subtract the number 5 from 25 five times.

Divide 25 by 5
25 ÷ 5 = 5

So, you can subtract the number 5 from 25 five times.

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The Root cause analysis uses one of the following techniques is (D) Ishikawa diagram.

The Root cause analysis is a problem-solving technique that aims to identify the underlying reasons or causes of a particular problem or issue.

It helps in identifying the root cause of a problem by breaking it down into its smaller components and analyzing them using a systematic approach.

The Ishikawa diagram, also known as a fishbone diagram or cause-and-effect diagram, is one of the most widely used techniques for conducting root cause analysis.

It is a visual tool that helps in identifying the possible causes of a problem by categorizing them into different branches or categories.

The Ishikawa diagram can be used in various industries, including manufacturing, healthcare, and service industries, and can help in improving processes, reducing costs, and increasing efficiency.

In summary, the root cause analysis technique uses the Ishikawa diagram to identify the underlying reasons for a particular problem.

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