Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.

The missing number in the unit conversion problem is composed as follows:

9 ft = 108 inches.

The missing number is obtained applying the proportions in the context of the problem.

The unit conversion rate between ft and inches is given as follows:

1 feet = 12 inches.

Hence the number of inches in 9 feet is obtained multiplying 9 by 12, as follows:

9 x 12 = 108 inches.

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Answer:

  $5535.00

Step-by-step explanation:

You want the cost to produce 10 more units if 8 are being produced and the marginal cost function is c'(x) = 0.375x² -x +500.

The cost is the integral of the marginal cost. If we want 10 more units than the 8 being produced, the total cost for those units will be the definite integral of the marginal cost function from 8 to (8+10) = 18.

The attachment shows that integral to have a value of 5535.

The cost to produce 10 more units is $5535.00.

__

Additional comment

Many graphing calculators can do the numerical integration for you. The integral of the function is ...

  C(x) = x³/8 -x²/2 +500x

The cost of interest is C(18) -C(8).

The two events are dependent, and the indicated probability is 1÷36.

What is Probability ?

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The two events, "the sum is greater than 9" and "the red cube shows a 5," are dependent because the outcome of one event (the red cube showing a 5) affects the probability of the other event (the sum being greater than 9).

If the red cube shows a 5, then the only way for the sum to be greater than 9 is if the white cube also shows a number greater than 4 (since the highest number on a standard number cube is 6). However, if the red cube does not show a 5, then it is impossible for the sum to be greater than 9, regardless of the outcome of the white cube.

Therefore, the outcome of the red cube affects the probability of the sum being greater than 9, making the two events dependent on each other.

To find the indicated probability, we need to consider the possible outcomes where the red cube shows a 5 and the sum is greater than 9. There is only one possible outcome in this case, which is the red cube showing a 5 and the white cube showing a 5.

The total number of possible outcomes when rolling two number cubes is 6 x 6 = 36, since each cube has 6 sides and each side is equally likely to occur.

So, the probability of the sum being greater than 9 and the red cube showing a 5 is 1 out of 36 possible outcomes, or 1÷36. This is the indicated probability in this case. Therefore, the probability of the two events occurring together is 1÷36, making them dependent on each other. So, the probability of the sum being greater than 9 and the red cube showing a 5 is 1÷36.

This is because there is only one possible outcome where both events occur (red cube shows a 5 and white cube shows a 5) out of 36 possible outcomes when rolling two number cubes. Hence, the two events are dependent and the indicated probability is 1÷36. So, the two events are dependent because the outcome of one event affects the probability of the other event occurring.

The indicated probability of the sum being greater than 9 and the red cube showing a 5 is 1÷36, as there is only one favorable outcome out of 36 possible outcomes when rolling two number cubes.

Therefore, the two events are dependent and the indicated probability is 1÷36. So, in conclusion, the two events "the sum is greater than 9" and "the red cube shows a 5" are dependent because the outcome of the red cube affects the probability of the sum being greater than 9. The indicated probability of the two events occurring together is 1÷36, as there is only one favorable outcome out of 36 possible outcomes.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Using the definition of the secant, the angle is given as follows:

θ = 112.6º.

The secant of an angle θ is given by one divided by the cosine of the angle θ, that is:

sec(θ) = 1/cos(θ).

In the context of this problem, the numeric value of the secant of the angle is given as follows:

sec(θ) = -13/5.

This means that the following relation can be established:

1/cos(θ) = -13/5.

Hence we can solve to find the angle measure as follows, applying cross multiplication:

-13cos(θ) = 5

cos(θ) = -5/13.

Applying the inverse cosine, we have that:

θ = arccos(-5/13).

θ = 112.6º.

This angle has equivalent on other quadrants, as for example, in the third quadrant the cosine is also negative. However, in the third quadrant, the tangent is positive and we want a negative tangent, which is why the measure is of θ = 112.6º.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

2y - 5 (read below)

Step-by-step explanation:

-8y + 10y = 2y

2 + (-7) = -5

Your expression could/would be:

2y - 5.

Hope this helps!

Answer:

you can combine -8y and 10y since 8 is negative it would be =2y

an you can do 2+-7=-5

Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3  units more than the corresponding output for y=x.

Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units

A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.

When the graph of function y=x is drawn, then it is a straight line through the origin.

Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on  function y=x has been lowered by 3 to be function y=x-3.

Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3

The graphs for functions y=x and y=x-3 are shown below:

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Answer:

Im not a hundred percent sure if this is the right answer but im pretty sure it is 3.33333 repeated so the rate of change is 3 inches per week.

Step-by-step explanation:

I calculated the problem by subtracting the weeks from each other subtracting the amount of length corn has grown too. I found that the corn grew 40 inches in 12 weeks. So I divided the amount of weeks and the amount it has grown and it gave me 3.333333 repeated which makes the answer 3 inches per week. correct me if im wrong...

Hope this helps:)

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

Answer:

9.75

Step-by-step explanation:

To do this problem, use the Pythagorean Theorem, \(a^2 + b^2 = c^2\). Right now, you have that a = 7 and c = 12, so it would be

\(7^2 + b^2 = 12^2\\49 + b^2 = 144\\b^2 = 95\\b = \sqrt{95}\)

Rounding to the nearest hundredth, you get: 9.75

Answer:

Choice C

Step-by-step explanation:

-4 + |-2k| = 2

|-2k| = 6

2k = 6

k = 3

-2k = 6

k = -3

Answer:    B

Step-by-step explanation: I just know

Answer:

B. He rounded the percent up to 40% and the number up to 200.

The value of a is 20, because the graph of the function passes through the point (-1,20).

The absolute value function f(x) = a|x| is a function that takes a number as input and returns its absolute value, which is its distance from zero. The value of a is a scaling factor that determines how much the graph of the function is stretched or compressed.

In this case, we know that the graph of the function passes through the point (-1,20). This means that when we plug in -1 for x, the function returns 20. So, we have f(-1) = 20.

We can solve for a by substituting f(x) = a|x| into this equation. This gives us a|-1| = 20.

Since the absolute value of -1 is 1, we have a*1 = 20.

Therefore, a = 20.

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Answer:

acd

Step-by-step explanation:

edg 2021

A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.

What is Congruency

Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.

Rule of Congruency:

1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.

3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.

4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

Since JK= QP
KL= KR
Angle LKJ= Angle QRP

So Δ LKJ ≅ Δ QRP.

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VNTR analysis involves examining and analyzing the variations in the number of repeated DNA sequences known as tandem repeats.

VARIABLE NUMBER TANDEM REPEAT (VNTR) analysis involves examining and analyzing the variations in the number of repeated DNA sequences known as tandem repeats.

These tandem repeats consist of short DNA sequences repeated in a head-to-tail fashion.

VNTR analysis primarily focuses on identifying and characterizing the variations in the number of repeats within specific genomic regions.

By studying VNTRs, scientists can gain insights into genetic diversity, individual identification, and genetic relationships among individuals or populations.

VNTR analysis typically involves techniques such as polymerase chain reaction (PCR) amplification of the target region, followed by fragment analysis to determine the number of repeats present.

The variations in VNTRs make them highly polymorphic, meaning they differ significantly between individuals.

This polymorphism allows VNTR analysis to be used in various applications, including forensic analysis, paternity testing, population genetics, and evolutionary studies.

In summary, VNTR analysis involves examining and analyzing the variations in the number of repeated DNA sequences known as tandem repeats, providing valuable information for genetic diversity and identification purposes.

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The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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Answer:

A -13

Step-by-step explanation:

-8+(6+4)÷(-2)

-8+(10)÷(-2)

-8+-5

-13

Answer: A. -13

Step-by-step explanation:

−8+(6+4)÷(−2)Evaluate inside the parentheses first−8+(10)÷(−2)The multiply and divide from left to right−8+-5Then add-13! So 13 btc<3

The answer would be something like:

(173+124)/3=99

Given that there are 173 third graders and 124 fourth graders, what we would need to do is find the total which would be equal to 297 students.

Then because each seat on the bus fits 3 students, we divide the total by 3 to get the estimated number of seats needed, which gives 99.

So, 173 + 124 = 297 students

297/3 = 99 seats

Answer:Descartes’s chief contributions to mathematics were his analytical geometry and his theory of vortices, and it is on his researches in connection with the former of these subjects that his mathematical reputation rests. Who is Rene Descartes is he known for? Descartes has been heralded as the first modern philosopher.

Step-by-step explanation:

The solution to the linear system is unique solution which is  x₁ = 1/6, x₂ = 3/2, and x₃ = 17/6.

The correct answer is option  A.

To solve the given system of linear equations using elementary row operations and back substitution, let's start by representing the augmented coefficient matrix:

[1  -4  5  |  23]

[2   1   1  |  10]

[-3  2  -3 |  -23]

We'll apply row operations to transform this matrix into echelon form:

1. Multiply Row 2 by -2 and add it to Row 1:

[1  -4   5   |  23]

[0   9   -9  |  -6]

[-3  2  -3  |  -23]

2. Multiply Row 3 by 3 and add it to Row 1:

[1  -4  5   |  23]

[0   9  -9  |  -6]

[0   -10 6  |  -68]

3. Multiply Row 2 by 10/9:

[1  -4  5    |  23]

[0   1   -1   |  -2/3]

[0   -10 6  |  -68]

4. Multiply Row 2 by 4 and add it to Row 1:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  -10 6  |  -68]

5. Multiply Row 2 by 10 and add it to Row 3:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  0   -4  |  -34/3]

Now, we have the augmented coefficient matrix in echelon form. Let's solve the system using back substitution:

From Row 3, we can deduce that -4x₃ = -34/3, which simplifies to x₃ = 34/12 = 17/6.

From Row 2, we can substitute the value of x₃ and find that x₂ - x₃ = -2/3, which becomes x₂ - (17/6) = -2/3. Simplifying, we get x₂ = 17/6 - 2/3 = 9/6 = 3/2.

From Row 1, we can substitute the values of x₂ and x₃ and find that x₁ + x₂ = 5/3, which becomes x₁ + 3/2 = 5/3. Simplifying, we get x₁ = 5/3 - 3/2 = 10/6 - 9/6 = 1/6.

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Answer:

B+6

Step-by-step explanation:

promiscious girl

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

x = 8

Step-by-step explanation:

The measure of an arc is equal to the angle at the centre subtended by the arc.

The sum of the 3 arcs = 180° , then

5x + 6 + 83 + 51 = 180

5x + 140 = 180 ( subtract 140 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Using the concept of sine rule and cosine rule, the value of angle ACB is

36.64°

The sine rule is a mathematical formula used in trigonometry to find the relationship between the sides and angles of a triangle. It states that the sine of one of the angles in a triangle is equal to the ratio of the length of the side opposite that angle, divided by the length of the hypotenuse. The formula can be written as:

sin(A) = a / c

where A is one of the angles in the triangle, a is the length of the side opposite angle A, and c is the length of the hypotenuse. The sine rule is commonly used to find the length of one side of a triangle when the lengths of the other two sides and one angle are known. Another form of the sine rule is the "ambiguous case" formula, which can be used to find one of the angles in a triangle when the lengths of all three sides are known:

a / sin(A) = b / sin(B) = c / sin(C)

where A, B, and C are the angles in the triangle, and a, b, and c are the lengths of the sides.

In the given problem, we can simply substitute the values into the formula and then solve for the unknown angle.

a / sin A = b / sin B = c / sin C

But since we don't know the value of BC, we can find that first using cosine rule.

a² = b² + c² - 2(bc) cos A

a² = 9² + 6² -2(9)(6)cos80

a² = 98.23

a = √98.23

a = 9.9

Going back to using sine rule;

a / sin A = b / sin B = c / sin C

9.9 / sin 80 = 6 / sin C

sin C = (6 sin 80) / 9.9

sin C = 0.5968

C = sin⁻¹(0.5968)

C = 36.64°

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Explanation:

Let's go over the possible choices to see which statements are true and which are false.

To summarize, only choice B is true. The rest are false.

Answer:

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍

Answer:

To calculate the actual width of the building in meters, given the measured width of 30mm and a scale of 1:800, we can use the concept of proportions.

Since 1 unit on the scale represents 800 units in reality, we can set up the following proportion:

1 unit on the scale / 800 units in reality = 30mm / x meters

To solve for x (the actual width of the building in meters), we can cross-multiply and solve for x:

1 * x = 800 * 30mm

x = (800 * 30mm) / 1

Now, let's convert the width from millimeters to meters:

x = (800 * 30) / 1000

x = 24 meters

Therefore, the actual width of the building is 24 meters.

Step-by-step explanation:

Answer:

What's the best estimate for 26% of 44

Step-by-step explanation: