Quadrilateral puma is inscribed in a circle. The following statements are given Which of the following statements are always true? Select all that apply

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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The area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

To explain how we find the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4, we need to use polar coordinates and integrate.

The equation r = θ² represents a curve in polar coordinates. In this case, the curve is a parabola. The given sector 0 ≤ θ ≤ π/4 specifies the range of θ values over which we need to find the area.

To find the area of the region, we integrate the function r(θ) with respect to θ over the given range. The formula for finding the area in polar coordinates is:

A = ∫[θ₁,θ₂] (1/2) r(θ)² dθ

In this case, we have:

r(θ) = θ²

θ₁ = 0

θ₂ = π/4

Substituting these values into the formula, we have:

A = ∫[0,π/4] (1/2) (θ²)² dθ

Simplifying the expression:

A = (1/2) ∫[0,π/4] θ⁴ dθ

Integrating θ⁴ with respect to θ gives:

A = (1/2) [(θ⁵)/5] [0,π/4]

Plugging in the limits of integration:

A = (1/2) [(π/4)⁵/5 - (0)⁵/5]

Simplifying further:

A = (1/2) [(π⁵/4⁵)/5]

A = (1/2) (π⁵/4⁵)/5

A = π/32

Therefore, the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

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The value of the random variable x0 such that P (x > x0) = 0.025 is approximately 55.88.

To find the value of x0 such that P(x > x0) = 0.025, we need to use the standard normal distribution table or a calculator to find the corresponding z-score.

First, we need to standardize x using the formula:

z = (x - µ) / σ

where µ = 50 and σ = 3.

So,

z = (x - 50) / 3

Now, we want to find the z-score that corresponds to a probability of 0.025 in the right tail of the standard normal distribution. From the standard normal distribution table, we can see that the z-score for this probability is approximately 1.96.

Therefore,

1.96 = (x0 - 50) / 3

Multiplying both sides by 3, we get:

x0 - 50 = 1.96 * 3

x0 - 50 = 5.88

Adding 50 to both sides, we get:

x0 = 55.88

So, the value of the random variable x0 such that P(x > x0) = 0.025 is approximately 55.88.

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Sales tax is added to the price.

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

The statement is about sales tax

As a general rule

sales tax are added to the price of the item that is being bought

So, the complete statement is Sales tax is added to the price.

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The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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This is approximately 0.283 hours, or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

The key to solving this problem is to understand the concept of relative velocity. In this case, the boat's speed relative to the water is 5 km/hr, and the water's speed relative to the shore is also 5 km/hr. Therefore, the boat's speed relative to the shore is the vector sum of these two velocities, which is 0 km/hr. This means that the boat will not make any progress toward the other side of the river unless it angles its course slightly upstream.
To determine the angle required, we need to use trigonometry. Let θ be the angle the boat makes with the direction perpendicular to the river. Then sin θ = 5/5 = 1, so θ = 45 degrees. This means that the boat needs to head upstream at a 45-degree angle to make progress across the river.
Now we can use the Pythagorean theorem to find the distance the boat travels:
d = √(1² + 1²) = √(2) km
Since the boat's speed relative to the shore is 0 km/hr, the time required for the crossing is simply the distance divided by the boat's speed relative to the water:
t = d / 5 = √(2) / 5 hours
This is approximately 0.283 hours or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

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The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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Answer:

x = − 9 /2 , 15 /2

Step-by-step explanation:

cos 20 cannot be determined given the information provided. it value is undefined.

First, we need to find the value of sin 0 since we know that tan 0 = sin 0 / cos 0. We can use the Pythagorean identity to find sin 0:
sin^2 0 + cos^2 0 = 1
Rearranging, we get:
sin^2 0 = 1 - cos^2 0
Taking the square root of both sides, we get:
sin 0 = -√(1 - cos^2 0)
Since O is in quadrant III, we know that cos 0 is negative. Therefore, we can write:
tan 0 = sin 0 / cos 0 = (-√(1 - cos^2 0)) / (-cos 0)
Simplifying, we get:
tan 0 = √(1 - cos^2 0) / cos 0
Cross-multiplying, we get:
cos 0 tan 0 = √(1 - cos^2 0)
Squaring both sides, we get:
(cos 0 tan 0)^2 = 1 - cos^2 0
Expanding the left side, we get:
cos^2 0 tan^2 0 = 1 - cos^2 0

Rearranging, we get:
cos^2 0 (tan^2 0 + 1) = 1
Dividing both sides by tan^2 0 + 1, we get:
cos^2 0 = 1 / (tan^2 0 + 1)
Substituting the given value of tan 0, we get
cos^2 0 = 1 / (-1^2 + 1) = 1 / 0 = undefined

 

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Answer:

180

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

It is 18% because when you divide 9 by 50 you get 0.18 and when you multiply 0.18 by 100 you get 18 then just add the percentage sign

hope this helped :)

If Kelley family went on a tour this afternoon and they bought 4 tickets and 3 pictures. The total cost of the Kelley family's tour is $55.

Given data

Total price =  10t+5p dollars

Where:

t = tickets =4

p = pictures = 3

Now let find the total cost

Total cost =  10t+5p

Total cost = 10(4) + 5(3)

Total cost =40 +15

Total cost =$55

Therefore we can conclude that the total cost is the amount of $55.

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Answer:214.29

Step-by-step explanation:600 divided by 2.8

possibly the answer

1. The expected value of the time it takes to drive from Berkeley to the airport parking lot is 60% * 1.3 hours + 40% * 39 minutes.

2. The standard error of the time it takes to drive from Berkeley to the airport parking lot is the square root of [(60% * (1.3 - expected value)^2) + (40% * (39 - expected value)^2)].

3. The expected value of the waiting time for a parking shuttle is the average of the possible waiting times, which is (0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) / 11.

4. The standard error of the waiting time for a parking shuttle is the square root of the average of the squared differences between each waiting time and the expected value.

5. The expected time it takes to get from Berkeley to the San Francisco airport by driving and taking the parking shuttle is the sum of the expected values of driving time and waiting time for the shuttle.

6. The standard error of the time it takes to get from Berkeley to the San Francisco airport by driving and taking the parking shuttle is the square root of the sum of the squares of the standard errors of driving time and waiting time for the shuttle.

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Answer:

The value of x is 3

Step-by-step explanation:

Let us study the face of the cuboind

∵ The cuboid has 6 rectangular faces

∵ Each opposite faces area equal in areas

∴ 2 faces of dimensions 10 cm and 2 cm

∴ 2 faces of dimensions 10 cm and x cm

∴ 2 faces of dimensions 2 cm and x cm

∵ The total surface area of the cuboid is the sum of the areas of the 6 faces

∵ The area of the rectangle = length × width

∴ The total surface area = 2(10 × 2) + 2(10 × x) + 2(2 × x)

∴ The total surface area = 2(20) + 2(10x) + 2(2x)

∴ The total surface area = 40 + 20x + 4x

→ Add the like terms 20x and 4x

∴ The total surface area = 40 + 24x

∵ The total surface area of this cuboid is 112 cm²

→ Equate the two sides of the total surface area

∴ 40 + 24x = 112

→ Subtract 40 from both sides

∵ 40 - 40 + 24x = 112 - 40

∴ 24x = 72

→ Divide both sides by 24

∴ x = 3

∴ The value of x is 3

Answer:

= 3

Step-by-step explanation:

(easier way to solve it)

x = L, 10 = B, 2 = W

L x B

x 10 = A1

L x W

x 2 = A2

B x W

10 x 2 = 20 (A3)

= 112cm^2 / 2 = 56cm - 20 = 36

3 x 10 = 30

3 x 2 = 6

30 + 6 = 36

36 + 20 = 56cm

56cm x 2 = 112cm^2

(i hope this actually makes sense, things work differently in my mind)

Answer:

$1,489.88 (nearest cent)

Step-by-step explanation:

To calculate gross pay, multiply the number of hours worked by the pay per hour.

Warren worked 36.5 hours one week and 32 hours the week before.

Therefore, the total number of hours Warren worked was:

Multiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:

Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).

Answer:

$1489.875

Step-by-step explanation:

Warren's gross pay for 36.5 hours last week can be calculated as follows:

Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875

Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:

Gross pay for 32 hours = $21.75/hour * 32 hours = $696

Adding the gross pay for the two weeks, we get:

Gross pay for 2 weeks = $793.875 + $696 = $1489.875

Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

The answer is: There are 31 colored pencils in the box.

Answer:

it will be 15000+ 44000 = 59000$

after t years will be

salary = 5000 t + 44000

Answer:

what is the question i cat help without the question

Step-by-step explanation:

Answer:

The answer for this is 850 dollars

Step-by-step explanation:

Since D stand for 50

You would do 50 X 17

Resulting in 850 dollars

Answer:

-4>-6

Step-by-step explanation:

come on dude

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Answer:

y=0

Step-by-step explanation:

y=mx+b

the slope is 0

y=0x+b

y=b

b is the y intercept... also 0.

so

y=0

The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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The dimensions of a recatngle with perimeter 92m whose area is as large as possible or maximum area are 23 meters and  23 meters.

Let the dimensions of the rectangle be x and y meters.

According to th egiven question.

The perimeter of the rectangle is 92 m.

⇒ 92 = 2(x + y)

⇒ 46 = x + y

⇒ x = 46 - y

Now, the area of the rectangle is given by

Area of recatnagle, A = xy

⇒ A = ( y - 46)y

For the large possible area or maximum area

dA/dy = 0

⇒ d(y - 46)y/dy = 0

⇒ d(y^2 - 46y)/dy = 0

⇒ 2y - 46 = 0

⇒ y - 23 = 0

⇒ y = 23

Therefore,

x = 46 - 23

⇒ x = 23

Hence, the dimensions of a recatngle with perimeter 92m whose area is as large as possible or maximum area are 23 meters and  23 meters.

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Answer:

Question: To map rectangle NPQR onto congruent rectangle STUV, the homeowner could reflect rectangle NPQR across the ___,and the image of point Q would be point ___.

Answer: Y-axis & (6,3) or just 6, or just 3.

Answer: First Drop down: y-axis Second drop down: Point U, because its reflecting.

Step-by-step explanation:

The measure of the length of BC from the expression is 8

The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Given the following segments

AB = 7

AD = 25 and:

CD = 10

Using the addition postulate below:

AB+BC+CD = AD

Substitute the given parameters

7+BC+10 = 25

17+BC = 25

Subtract 17 from both sides

17+BC-17 = 25 - 17

BC = 8

Hence the measure of the length of BC from the expression is 8

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The sides of the 4:3 rectangle are approximately 4.8 inches and 3.6 inches long.

What is meant by inches?

Inches are a unit of measurement used to express length or distance, typically in the United States, United Kingdom, and Canada. One inch is equal to 1/12th of a foot, or approximately 2.54 centimeters.

What is meant by sides?

Sides refer to the edges or boundaries that define a two-dimensional or three-dimensional shape, such as a polygon or a cube. The number of sides a shape has depends on its type, and can be used to calculate various properties of the shape.

According to the given information

We know that the rectangle has a 4:3 aspect ratio, which means that:

x/y = 4/3

Let's solve for y by multiplying both sides by y:

x = (4/3)y

Now we can use the Pythagorean theorem to find the length of the diagonal, which is 6 inches:

6² = x² + y²

Substituting x = (4/3)y, we get:

6² = (4/3)² y²+ y²

Simplifying, we get:

36 = (16/9 + 1)y²

36 = (25/9)y²

y² = (36 × 9)/25

y² = 12.96

y = √12.96 ≈ 3.6 inches

Finally, we can use the equation x = (4/3)y to find x:

x = (4/3) × 3.6 ≈ 4.8 inches

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Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

Answer:

y=7miles

Step-by-step explanation:

The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.

We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.

21-14=7miles

Answer:

y=7 mi

Step-by-step explanation:

If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess  that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7