Bryan says that every equation that has one variable has a solution to it. Disprove Bryan’s assertion with two counterexamples.

The volume of the pyramid is 3733.33 m³.

Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangular faces that intersect above its base, a pyramid is a particular kind of polyhedron (the apex).

The building is in the shape of a square pyramid.

The base of the building is 20 meters long.

The height of the building is 28  meters.

The volume of the right square pyramid is given as:

V = ( 1/3)a²h

Where a is the base and h is the height.

Now we have,

a = 20 m and h = 28 m

So,

V = ( 1/3 ) × 20 × 20 × 28

V = ( 1/3 ) × ( 20 )² × 28

V = 11200/3

V = 3733.33 m³

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

1    12/100

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It can converted  to 28/25 or 1 and 3/25

Answer:

9. 5 19/70 10. 26 11. 5/12 12. 5/12

Step-by-step explanation:

You don't have to worry about whether the fractions have the same denominator or not. Simply multiply the denominator together. Simplify the resolution fraction if needed. GOOD LUCK.

Answer:

Answer: a(n) = 27*(2/3)^(n - 1).

Step-by-step explanation:

.........................

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

Answer:

78 dollars

Step-by-step explanation:

Answer:

the answer is $880.200

Step-by-step explanation:

well, the amount of completely satisfied customers is 1820.

now, all folks surveyed were 600 + 180 + 1820 = 2600.

if we take 2600 as the 100%, what is 1820 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 2600 & 100\\ 1820& x \end{array} \implies \cfrac{2600}{1820}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 10 }{ 7 } ~~=~~ \cfrac{ 100 }{ x }\implies 10x=700\implies x=\cfrac{700}{10}\implies x=70\)

I believe that may be false

Answer:

Step-by-step explanation:

True.

Aldosterone is a hormone produced by the adrenal gland that plays an important role in regulating electrolyte and water balance in the body. It acts on the cells of the distal tubules and collecting ducts of the kidneys to increase the reabsorption of sodium ions and the secretion of potassium ions.

This helps to increase blood volume and blood pressure by retaining more sodium and water in the body while getting rid of excess potassium. Aldosterone release is regulated by the renin-angiotensin-aldosterone system, which is activated in response to low blood pressure or low sodium levels in the blood.

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Answer:

triangle angle sum theorem

The solutions to the equation det([x 1; 2 x + 4]) = 30 are x = 4 and x = -8.

To solve the equation det([x 1; 2 x + 4]) = 30, we need to find the values of x that satisfy the equation.

The determinant of a 2x2 matrix [a b; c d] is calculated as ad - bc. Applying this to the given matrix, we have:

(x * (x + 4)) - (2 * 1) = 30

x^2 + 4x - 2 = 30

x^2 + 4x - 32 = 0

Now, we can solve this quadratic equation for x. Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = 4, and c = -32. Substituting these values into the quadratic formula, we get:

x = (-4 ± √(4² - 4 * 1 * -32)) / (2 * 1)

x = (-4 ± √(16 + 128)) / 2

x = (-4 ± √144) / 2

x = (-4 ± 12) / 2

We have two possible solutions:

x = (-4 + 12) / 2 = 8 / 2 = 4

x = (-4 - 12) / 2 = -16 / 2 = -8

So, the solutions  are x = 4 and x = -8.

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To estimate the area under the graph of the function f(x) = 6 + 4x^2, the x-axis, and the lines x = -1 and x = 2 using three rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle will be (2 - (-1))/3 = 1, as we are dividing the interval between x = -1 and x = 2 into three equal parts. The height of each rectangle will be the value of f(x) at the right endpoint of each subinterval. Let's calculate the right endpoints and the corresponding function values for each subinterval:

For the first subinterval: x = -1 to x = 0

Right endpoint: x = 0

Height: f(0) = 6 + 4(0^2) = 6

For the second subinterval: x = 0 to x = 1

Right endpoint: x = 1

Height: f(1) = 6 + 4(1^2) = 10

For the third subinterval: x = 1 to x = 2

Right endpoint: x = 2

Height: f(2) = 6 + 4(2^2) = 22

Now, we can calculate the area of each rectangle and sum them up:

Area of first rectangle: (1)(6) = 6

Area of second rectangle: (1)(10) = 10

Area of third rectangle: (1)(22) = 22

Total estimated area: 6 + 10 + 22 = 38 square units

Therefore, the estimated area under the graph of f, the x-axis, and the lines x = -1 and x = 2, using three rectangles and right endpoints, is 38 square units. This estimation provides an approximate value for the area using the given method. It is important to note that as the number of rectangles increases, and the width of each rectangle approaches zero, the estimation becomes more accurate and approaches the exact area.

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Answer:

A. 2x2+8x+6

Step-by-step explanation:

two x squared plus 8x plus 6.

Average number of planes that will stack up waiting to land:  This can vary greatly depending on the size of the airport, the number of flights per day, and the number of runways available.

What is average?

Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures.

To determine the average number of planes that will stack up waiting to land, we need to know the rate at which planes arrive at the airport and the rate at which they are able to land.

Generally, an airport can expect to experience a queue of up to 10 planes waiting to land at peak times.

Average time a plane must wait in line before it can land: This also varies significantly depending on the airport and the conditions. Generally, a plane must wait an average of 5-7 minutes before it is able to land.

Average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants to land: This time will depend on the size of the airport, the number of planes in the queue, and the amount of time it takes for the plane to taxi off the runway. Generally, a plane can expect to clear the runway in about 2-3 minutes.

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Answer:

4.79

Step-by-step explanation:

4.79 is reasonable for the problem

The price of one paint set before the sale is $4.79

We are expected to determine the price of one paint set before the sale.

From the information given:

∴

The amount at which Yuri bought 1 paint set is:

\(\mathbf{= \dfrac{\$6.88}{2.0}}\)

= $3.44

Recall that during the sale, the store reduce the price of each paint set by $1.35

Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79

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(79-65)/65) x 100 = 21.54%

We can draw the flight as:

We can use the trigonometric ratio that relates the sine of an angle with the opposite side and the hypotenuse:

Answer: the distance can be expressed as 40 / sin(26 deg)

Answer:

Step-by-step explanation:

The value of x for GT is 6.5 .

What is the congruence of triangles?
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

Given, ΔGET ≅ ΔABS
Following the statement that corresponding sides of congruent triangles are congruent, we have:
GE = AB, ET = BS and GT = AS -(i)
AB = 10, BS = 13, AS = 18, GT = 4x - 8 -(ii)
Comparing (i) and (ii) we have, 4x - 8 = 18 ⇒ 4x = 26 ⇒ x = 26/4 = 6.5
Thus, the value of x for GT is 6.5 .

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The research hypothesis in this study is: "There is a difference in population proportions of registered Democrats and registered Republicans who believe people are born with their sexual orientation."

To test this hypothesis, we can perform a hypothesis test by comparing the sample proportions of registered Democrats and registered Republicans.

The combined sample proportion (P*) is calculated by taking the total number of individuals who believe people are born with their sexual orientation divided by the total number of individuals in the sample. In this case:

P* = (number of Democrats who believe people are born with their sexual orientation + number of Republicans who believe people are born with their sexual orientation) / (total number of Democrats + total number of Republicans)

P* = (0.6098 * 492 + 0.3606 * 502) / (492 + 502) ≈ 0.4835

The standard error of the difference can be calculated using the formula:

SE = sqrt[(P*(1 - P*) / n1) + (P*(1 - P*) / n2)]

where n1 and n2 are the sample sizes of Democrats and Republicans, respectively. In this case:

SE = sqrt[(0.4835 * (1 - 0.4835) / 492) + (0.4835 * (1 - 0.4835) / 502)] ≈ 0.0252

The calculated z-score is given by:

z = (p1 - p2) / SE

where p1 is the sample proportion of Democrats and p2 is the sample proportion of Republicans. In this case:

z = (0.6098 - 0.3606) / 0.0252 ≈ 9.917

To determine the conclusion, we compare the calculated z-score with the critical z-value corresponding to the desired significance level (usually 0.05 for a 95% confidence level).

If the calculated z-score is greater than the critical z-value (in the rejection region), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Since the calculated z-value of 9.917 is far greater than the critical z-value, we reject the null hypothesis and conclude that there is a significant difference in the population proportions of registered

Democrats and registered Republicans who believe people are born with their sexual orientation.

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The equations which represents the Area of the diagram as required are;

It follows from the task content that the area of the given diagram is to be determined.

By observation, it follows that each like terms can be added together so that we have;

A (x) = 2x² + 8x + 10 which represents the standard form equation.

However, to determine the single, squared binomial expression; we have that;

A (x) = 2 (x² + 4x + 5)

A (x) = 2 (x + 2)² - 8 + 10

A (x) = 2 (x + 2)² + 2.

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Answer: $5.40

Step-by-step explanation:

The solution set of a homogeneous system of 18 linear equations in 20 variables lies in the null space of the coefficient matrix.

To know that every associated nonhomogeneous equation has a solution, we need to ensure that the homogeneous system has a nontrivial solution.

This means that we need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, i.e., whether there exist free variables.

If the rank is less than the number of variables, then there are infinitely many solutions to the homogeneous system, and thus every associated nonhomogeneous equation has a solution.

However,

We also need to ensure that the particular solution to the nonhomogeneous equation does not lie in the null space of the coefficient matrix.

This is equivalent to checking whether the null space of the coefficient matrix is orthogonal to the vector on the right-hand side of the nonhomogeneous equation.

If it is, then the nonhomogeneous equation has a solution.

So, in summary, to know that every associated nonhomogeneous equation has a solution.

We need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, and we need to check whether the particular solution lies in the null space of the coefficient matrix.

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

b+9

Step-by-step explanation:

The most appropriate characterization for a student with a percentile rank of 75 is that they scored higher than 75% of the test takers. The correct option is C.

A student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers (Option C).

Percentile rank represents the percentage of scores that fall below a particular score. In this case, a percentile rank of 75 means that the student's score is higher than 75% of the test takers. Put differently, if 100 students took the test, the student would have performed better than 75 of those students.

Option A, ranking 75th from the top in a group of 100 test takers, is incorrect because the percentile rank represents the relative position of the student's score within the entire distribution, not just within a specific group of test takers.

Option B, answering 75% of the test questions correctly, is incorrect because the percentile rank does not directly measure the percentage of correct answers. It reflects the student's position relative to other test takers, regardless of the number of questions answered correctly.

Option D, scoring 75% higher than the average test taker, and Option E, scoring 75% of the highest score, do not accurately describe the meaning of percentile rank.

Therefore, the most appropriate characterization for a student with a percentile rank of 75 is that they scored higher than 75% of the test takers.

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We watched the film "WarGames" because it provides a unique perspective on the Cold War era, highlighting the fear and tensions surrounding nuclear war.

The plot revolves around a teenage hacker who accidentally accesses a military supercomputer and nearly triggers a global thermonuclear war. The film reflects the heightened paranoia and constant threat of a nuclear attack during this time. By analyzing the events in the film, we can better understand the political and social climate of the Cold War era. The film also highlights the dangers of technological advancement and the need for caution in the face of nuclear proliferation. The film's plot, which involves a computer system mistaking a simulation for an actual nuclear attack, highlights the risk of misunderstandings and technological errors escalating into full-scale war. By watching "WarGames," you gain a deeper understanding of the Cold War's atmosphere and the importance of diplomacy and communication in avoiding a devastating conflict.

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Answer:

{12, 24}

Step-by-step explanation: Hope This Helps!!!!

The solution is Option C.

The value for the intersection of set A and B is A ∩ B = { 12 , 24 }

What is union and intersection of sets?

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the values in set A be = { 4 , 8 , 16 , 12 , 24 }

Let the values in set B be = { 6 , 18 , 12 , 24 }

Now , the intersection of set A and B is given by the formula

A ∩ B and the intersection of two sets is a new set that contains all of the elements that are in both sets

Substituting the values in the equation , we get

The only two numbers that are in set A and set B are 12 and 24

Therefore , the value of A∩B = { 12 , 24 }

Hence , the intersection of sets A and B is { 12 , 24 }

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Answer:

x = -3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation: