The pressure, p, of water (in pounds per square foot) at a depth of d feet below the surface is given by the formula p = 15 StartFraction 15 Over 33 EndFraction d If a diver is 100 feet below the surface, what is the pressure of the water on the diver? a. 15. 0 pounds per square feet b. 38. 63 pounds per square feet c. 1545. 45 pounds per square feet d. 60. 45 pounds per square feet.

Here are some true equations that use the distributive property to distribute 8(3+6):

8(3+6) = 8(3) + 8(6) = 24 + 48 = 72

8(3+6) = (83) + (86) = 24 + 48 = 72

8(3+6) = (83) + 68 = 24 + 48 = 72

The distributive property can be used to distribute any number of factors over a sum. In this case, we are distributing the factor 8 over the sum 3+6. We can do this by multiplying each term in the sum by 8 and then adding the products together. This gives us 24 + 48 = 72.

Andy records a temperature decrease of 37°F over 4 1/2 hours. The temperature decreased the same number of degrees each hour.

Find the change in temperature each hour to the nearest tenth of a degree.What is meant by temperature decrease?The drop in the amount of temperature is termed as temperature decrease.What is meant by change in temperature?The alteration in temperature is called change in temperature.Calculation for the temperature decrease per hour:The temperature decrease in 4.5 hours is 37°F.

The temperature decrease per hour can be calculated as follows:To calculate the temperature decrease per hour, divide the temperature decrease by the number of hours:37°F ÷ 4.5 hours = 8.22°F/hourTherefore, the change in temperature each hour to the nearest tenth of a degree is 8.2 degrees Fahrenheit (°F).

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The volume of material in the wall of the open cylinder, expressed as a polynomial function in terms of [tex]\(r\)[/tex], is [tex]\(18\pi - 4\pi r^2\) cm^3[/tex] .

To find the volume of material in the wall of the open cylinder, we need to calculate the difference between the volume of the outer cylinder and the volume of the inner cylinder. The outer cylinder has a radius of [tex]\(r + 2\)[/tex]cm, while the inner cylinder has a radius of [tex]r[/tex] cm. The length of both cylinders is [tex]9r[/tex] cm.

The volume of the outer cylinder can be calculated using the formula: [tex]\(V_{\text{outer}} = \pi \cdot (r + 2)^2 \cdot 9r\) cm^3[/tex].

The volume of the inner cylinder can be calculated using the formula: [tex]\(V_{\text{inner}} = \pi \cdot r^2 \cdot 9r\) cm^3[/tex].

To find the volume of material in the wall, we subtract the volume of the inner cylinder from the volume of the outer cylinder:

[tex]\[V_{\text{wall}} = V_{\text{outer}} - V_{\text{inner}} = \pi \cdot (r + 2)^2 \cdot 9r - \pi \cdot r^2 \cdot 9r= 9\pi r(r + 2)^2 - 9\pi r^3= 9\pi r[(r + 2)^2 - r^2]= 9\pi r[4r + 4].\][/tex]

Simplifying further:

[tex]\[V_{\text{wall}} = 36\pi r^2 + 36\pi r \text{ cm}³ = 36\pi(r^2 + r).\][/tex]

Therefore, the volume of material in the wall of the open cylinder, expressed as a polynomial function in terms of [tex]r[/tex], is [tex]\(18\pi - 4\pi r^2\) cm^3[/tex] .

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The customer will pay 0.85x - 5 dollars for the shirt. This is calculated by taking 15% off the original price (0.85x) and subtracting the coupon amount of 5 dollars.

To calculate the price the customer will pay for the shirt, we need to consider the original price, the discount percentage, and the coupon.

Let's denote the original price of the shirt as x dollars. The sale price after a 15% discount would be (100% - 15%) of x, which can be expressed as 0.85x dollars.

Next, the customer has a coupon for 5 dollars off the sale price. Therefore, the final price the customer will pay is the sale price minus the coupon amount. It can be expressed as 0.85x dollars - 5 dollars.

So, the price the customer will pay for the shirt, excluding tax, is given by the expression 0.85x - 5 dollars.

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A field project superintendent earns an annual salary of $72,800. This is a piece of information about the annual salary of a field project superintendent.

A field project superintendent is a person responsible for overseeing and managing construction projects. This position is responsible for ensuring that the construction project is completed on time, within budget, and in accordance with safety and quality standards. This person must have a thorough understanding of construction principles and techniques, as well as the ability to read and interpret blueprints and specifications.

A salary is a fixed amount of compensation paid to an employee for their work. The amount of salary is typically determined by the employee's position, job duties, and level of experience. Salaries are usually paid on a monthly or bi-weekly basis.

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To pay off his credit card balance of $1,230 with a 24% APR in 18 months, James needs to increase his monthly payment. The least impactful modification to his expenses would be to eliminate $83 from Food/Clothes.

James currently pays the minimum monthly payment of $30.75, which is not sufficient to pay off his balance in the desired timeframe. To determine the monthly payment required, we need to calculate the interest accrued over 18 months. The formula to calculate monthly interest is (APR/12) * balance. In this case, the monthly interest would be (24%/12) * $1,230 = $24.60.

To pay off the balance within 18 months, James needs to cover both the monthly interest and reduce the principal amount. Let's assume the monthly payment is P. Each month, James will pay P - $24.60 towards the principal. Since he wants to pay off the balance in 18 months, the equation becomes: 18 * (P - $24.60) = $1,230.

Simplifying the equation, we get 18P - $442.80 = $1,230. Rearranging and solving for P, we find that James needs to make a monthly payment of approximately $94.04.

Among the given options, the least impactful modification to James' expenses would be to eliminate $83 from Food/Clothes, which would cover most of the increased monthly payment.

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The probability of an odd outcome when rolling a biased dice can be found by dividing the expected number of odd outcomes by the total number of possible outcomes. In this scenario, the expected number of odd outcomes is three times the expected number of even outcomes. Therefore, the probability of an odd outcome is 3/4 or 0.75.

To find the probability of an odd outcome, we first need to determine the expected number of odd and even outcomes. Let's denote the expected number of odd outcomes as O and the expected number of even outcomes as E. According to the given information, O = 3E.
Since the dice is biased, we can assume that the probabilities of rolling an odd or even number are not equal. Let's represent the probability of rolling an odd number as p and the probability of rolling an even number as q.
The total number of outcomes when rolling a dice is 6 (1, 2, 3, 4, 5, 6). Therefore, we have the equation: O + E = 6.
Substituting O = 3E, we can rewrite the equation as: 3E + E = 6, which simplifies to 4E = 6.
Solving for E, we find E = 6/4 = 1.5.
Since O = 3E, we have O = 3 * 1.5 = 4.5.
The probability of an odd outcome can be calculated as O/(O + E), which is 4.5/(4.5 + 1.5) = 4.5/6 = 3/4 or 0.75.

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The statement is incorrect. The formula for finding the perimeter of a square is P = 4s, where P represents the perimeter and s represents the length of a side.

The correct formula multiplies the side length by 4 to calculate the perimeter.

If the side length of a square is 7 inches, we can substitute this value into the formula:

P = 4s

P = 4(7)

P = 28 inches

Therefore, the correct perimeter of a square with a side length of 7 inches is 28 inches, not 4728 inches as stated in the original statement. The calculation provided in the statement appears to be incorrect or based on a different formula, leading to an inaccurate result.

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Answer:

24

Step-by-step explanation:2x+42= 90

2x=90-42

2x=48

x=24

Step-by-step explanation:

2x°+42°=90°

2x+42°-42°=90°-42°

2x/2=48°/2

x=24°

But Iam not sure I just try

Answer:

NP=28

Step-by-step explanation:

20/35=x/49

cross multiply

35x=20x49

35x=980

x-980/35

x=28

The rate of discount is 30%. The regular price of the television set is Php 1580, and it is being sold at a discount of 30%.

To find the sale price, we can use the formula:

Sale price = Regular price - (Discount rate × Regular price)

Substituting the given values, we get:

Sale price = 1580 - (0.30 × 1580)

Sale price = 1580 - 474

Sale price = 1106

Therefore, the sale price of the television set is Php 1106. This means that Mr. Edwin Lazo paid Php 13,600.00 for an item that originally cost Php 1580.00 but was on sale at Php 1106.00.

To calculate the rate of discount, we can use the following formula:

Discount rate = (Regular price - Sale price) / Regular price x 100%

Substituting the given values, we get:

Discount rate = (1580 - 1106) / 1580 x 100%

Discount rate = 474 / 1580 x 100%

Discount rate = 0.3 x 100%

Discount rate = 30%

Therefore, the rate of discount is 30%.

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The calculated measure of the angle x is 100 degrees

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

The figure

The sum of angles in a quadrilateral is 360 and the angle at a point is 360

Also, the sum of angles on a straight line is 180

So, we have

360 - x + (180 - 130) + (180 - 170) + (180 - 140) = 360

So, we have

- x + (180 - 130) + (180 - 170) + (180 - 140) = 0

Next, we have

x = (180 - 130) + (180 - 170) + (180 - 140)

Evaluate

x = 100

Hence, the value of x is 100 degrees

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In summary, the given polynomial equation, 2x^4 - x^3 - 3x^2 - 8x + 18 = 0, has two rational solutions: x = -3/2 and x = 3/2.

The given polynomial equation, 2x^4 - x^3 - 3x^2 - 8x + 18 = 0, has two possible rational solutions.

To find the rational solutions of the given polynomial equation, we can make use of the Rational Root Theorem. According to the theorem, any rational solution of the equation must be a divisor of the constant term (18) divided by a divisor of the leading coefficient (2).

The divisors of 18 are ±1, ±2, ±3, ±6, ±9, and ±18, while the divisors of 2 are ±1 and ±2.

By applying the theorem, we can test all possible combinations of these divisors to find any rational solutions. After testing these values, we find that x = -3/2 and x = 3/2 are the only rational solutions that satisfy the equation.

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Specify primary audio , secondary audio (sound effects/music), and background audio (ambient music) in the storyboard. Note scenes with surrounding noise, use an external microphone for recording, and plan additional music for editing.



In storyboarding for an ad firm, Eric needs to consider three types of audio: primary audio, secondary audio, and background audio. Primary audio refers to the main audio component that drives the narrative or delivers important information in the ad. This can include dialogue, voiceover, or any sound directly related to the main subject. Secondary audio supports the primary audio and adds depth to the storytelling. It can include sound effects, ambient noise, or music that complements the visuals. Background audio provides the overall atmosphere and mood of the ad. It can include ambient music or soundscapes that create the desired emotional tone.

Additionally, Eric should make notes of scenes where surrounding noise is required. This means capturing the environmental sounds that enhance the authenticity and realism of the ad, such as street noise, nature sounds, or crowd reactions. He should also consider using an external microphone to simultaneously record audio while filming the video. This ensures high-quality audio capture and reduces the reliance on the camera's built-in microphone, which may not provide optimal sound recording. Lastly, Eric can make a note of any additional music he intends to add during the editing process. This can involve selecting appropriate background tracks, jingles, or any other musical elements that enhance the overall impact of the ad. By carefully considering these audio aspects during storyboarding, Eric can create a compelling and immersive ad experience for the audience.

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Given that y is directly proportional to x and y = 28 when x = 7, we need to find the constant of proportionality (k). Then, we can use this constant to find the value of y when x = 16.

When two variables, y and x, are directly proportional, their relationship can be expressed as y = kx, where k is the constant of proportionality.

Given that y = 28 when x = 7, we can substitute these values into the equation:

28 = k * 7

To find the value of k, we solve for it:

k = 28 / 7

k = 4

Therefore, the constant of proportionality is k = 4.

Now, we can use this value of k to find y when x = 16:

y = k * x

y = 4 * 16

y = 64

Hence, when x = 16, y is equal to 64 according to the direct proportion relationship y = kx, where k = 4.

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Answer: 15

Step-by-step explanation:

Period=distance between 2 top points.

15

The corresponding range for Losartan doses in micrograms is 70,000 to 90,000 micrograms per day.

To convert the range of Losartan doses from milligrams to micrograms, we need to multiply the milligram values by 1,000.

The lower end of the range, 70 milligrams, can be converted to micrograms by multiplying it by 1,000: 70 mg * 1,000 = 70,000 micrograms.

Similarly, the upper end of the range, 90 milligrams, can be converted to micrograms: 90 mg * 1,000 = 90,000 micrograms.

Therefore, the corresponding range for Losartan doses in micrograms is 70,000 to 90,000 micrograms per day. This means that the dosage range for Losartan can vary from 70,000 micrograms to 90,000 micrograms per day, depending on the specific prescription or treatment plan.

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Kareem should write the length of the Nile River in standard form as 4160 miles.

To write the length of the Nile River in standard form, we need to express it as a number multiplied by a power of 10.

Given: Length of the Nile River = 4.16 × 10³ miles

In standard form, we want a number between 1 and 10 multiplied by a power of 10. To achieve this, we can move the decimal point three places to the right since we have a positive exponent of 10³.

Moving the decimal point three places to the right gives us:

4.16 × 10³ = 4160

Therefore, Kareem should write the length of the Nile River in standard form as 4160 miles.

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Farid can make a square by using a combination of two short sticks and two long sticks.

To form a square without breaking or overlapping the sticks, the length of each side of the square must be equal. In this case, we have two types of sticks: short ones measuring 1 cm and long ones measuring 3 cm.

To determine which combinations can form a square, we need to consider the lengths of the sides and the total length of the sticks.

1. Using only short sticks (1 cm each):

To form a square, we need four equal sides. Since each short stick measures 1 cm, the total length of the four sides would be 4 cm. This combination does not work as the total length is too small to form a square.

2. Using only long sticks (3 cm each):

Similarly, using only long sticks would result in a total length of 12 cm for the four sides. This combination also does not work as the total length is too large to form a square.

3. Using a combination of short and long sticks:

In this case, we can combine short and long sticks to create a square. For example, using two short sticks and two long sticks would give us a total length of 2 cm + 2 cm + 3 cm + 3 cm = 10 cm. This combination can form a square with each side measuring 2.5 cm.

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To find the value of the odd natural number x, we need to determine the prime factors of 1400 and their respective multiplicities.

The prime factorization of 1400 is[tex]2^3 * 5^2 * 7.[/tex] Since the least common multiple (LCM) is equal to 1400, we know that x must include all the prime factors of 1400.

However, since x is an odd natural number, it cannot include 2 as a prime factor. Therefore, we can remove the factor of 2 from the LCM expression. The remaining prime factors are 5^2 and 7. Therefore, x must equal [tex]5^2 * 7,[/tex]which simplifies to x = 175.

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The solution to the system of equations is (-4, 4).

The system of equations is: x + y = -8 and x - y = 0
Mr. Brown can find the solution to the system of equations by solving it using the elimination method as follows:
x + y = -8 (Equation 1)
x - y = 0 (Equation 2)
Add Equation 1 and Equation 2.
Doing so will eliminate y from the equations and solve for x.
x + y + x - y = -8 + 0
2x = -8 x = -4
Substitute x = -4 into any of the original equations to solve for y.
Let's use Equation 2: x - y = 0 -4 - y = 0
y = -(-4) y = 4

Therefore, the solution to the system of equations is (-4, 4).

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The top of the ladder is approximately 44.1 feet from the ground.

To find out how high the top of the ladder is from the ground, we need to use trigonometry, specifically the tangent function since we have the angle of elevation and the length of the adjacent side. Here are the steps to solve the problem:

Step 1: Label the diagram and identify the angle of elevation and the adjacent side.

Label the base of the ladder as the adjacent side (a), the height of the ladder as the opposite side (o), and the length of the ladder as the hypotenuse (h).Identify the angle of elevation as the angle between the adjacent side and the hypotenuse.

In this case, the angle of elevation is 74°.

Step 2: Write out the formula and substitute the given values.Tanθ = o/aTan74° = o/a Solve for o: o = a * tan74°

Step 3: Substitute the value of a and use a calculator to find o.

Substitute the value of a, which is 14 feet, and use a calculator to find o. o = 14 * tan74°o ≈ 44.1 feet (rounded to the nearest tenth)Therefore, the top of the ladder is approximately 44.1 feet from the ground.

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This equation has no real solutions. It seems there might be an error in the given information or the problem setup. Please double-check the values and conditions provided to ensure accuracy.



To find the length of UV, we can use the Law of Cosines, which states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides multiplied by the cosine of the included angle.

Let's denote the length of UV as x. According to the given information, we have TU = 7.1 feet and ZT = 24º. ZV is given as 90º, indicating that triangle TUV is a right triangle.

Applying the Law of Cosines, we can write:

x^2 = (7.1)^2 + UV^2 - 2(7.1)(UV)cos(24º)

Since ZV = 90º, the cosine of 90º is 0, so the equation simplifies to:

x^2 = (7.1)^2 + UV^2

Now, we substitute the given values:

x^2 = (7.1)^2 + x^2

Simplifying, we get:

0 = (7.1)^2

This equation has no real solutions. It seems there might be an error in the given information or the problem setup. Please double-check the values and conditions provided to ensure accuracy.

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Walmart is the cheaper buy per unit of lemonade.

To determine which store offers a cheaper buy per unit of lemonade, we need to compare the prices per liter.

Walmart sells 1.5 liters of lemonade for 75 cents.

Therefore, the price per liter at Walmart is:

Price per liter at Walmart = 75 cents / 1.5 liters

Price per liter at Walmart = 50 cents / liter

K-Mart sells 2.72 liters of lemonade for $1.40.

Therefore, the price per liter at K-Mart is:

Price per liter at K-Mart = $1.40 / 2.72 liters

Price per liter at K-Mart ≈ 51.47 cents / liter (rounded to two decimal places)

Comparing the prices per liter, we can see that Walmart offers a lower price per liter compared to K-Mart.

Therefore, Walmart is the cheaper buy per unit of lemonade.

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The subjectively determined maximum amount a customer would pay for a product is its reservation price. The main answer is reservation.

An individual's reservation price is the highest price they are prepared to pay for a product or service. The maximum amount that an individual is willing to pay for a product or service is referred to as the reservation price, which is determined subjectively based on the individual's perception of the product's or service's worth.

To put it another way, the maximum amount a buyer will pay for an item is determined by his or her perception of the item's worth, which is influenced by the buyer's individual tastes and preferences.For example, if a person is willing to pay $50 for a pizza, that is their reservation price for a pizza. If the price of the pizza is higher than their reservation price, they are likely to leave without making a purchase. A reservation price is influenced by factors such as product quality, perceived benefits, personal income, and budget constraints.

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The given numbers can be classified into two categories: small values and very small values (closer to zero). All the given numbers have values that are either small or very small, with some being closer to zero than others based on the number of places the decimal point is moved to the left.

In scientific notation, numbers are expressed as a product of a decimal number between 1 and 10, and a power of 10. The power of 10 indicates the number of places the decimal point is moved to the right (if the exponent is positive) or to the left (if the exponent is negative).

Based on the given numbers:

1. 2 × 10^(-6): This number is very small, as the exponent is negative and indicates that the decimal point is moved 6 places to the left.

2. 1 × 10^(-3): This number is a small value, with the exponent indicating a movement of 3 places to the left.

3. 1 × 10^(-2): Similar to the previous number, this is also a small value, with the exponent indicating a movement of 2 places to the left.

4. 2 × 10^(-5): This number is very small, with the exponent indicating a movement of 5 places to the left.

5. 5 × 10^(-4): This number is a small value, with the exponent indicating a movement of 4 places to the left.

6. 8 × 10^(-3): This number is a small value, with the exponent indicating a movement of 3 places to the left.

7. 2 × 10^(-4): This number is a small value, with the exponent indicating a movement of 4 places to the left.

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The correct total cost of the 5 tickets is $85.

The calculation that Maria is using to calculate the total cost of the tickets is incorrect. She is multiplying the number of tickets by $10 and $7 separately, instead of multiplying the number of tickets by the cost per ticket.

To correctly calculate the total cost of the tickets, Maria should multiply the number of tickets (5) by the cost per ticket ($17) as follows:

Total cost = 5 x $17 = $85

It seems that Maria made a mistake in her calculation by multiplying the number of tickets by two different values ($10 and $7) instead of using the actual cost per ticket. This mistake leads to an incorrect total cost of $50 + $35 = $85.

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The expressions that have a value of 15 when x = 15 include the following:

A. x/3 + 10

C. (3,015 ÷ x) - 186

Based on the information provided, we would determine the output value of each of the given expression by substituting 15 for the value of x as follows;

Expression = x/3 + 10

Expression = 15/3 + 10

Expression = 5 + 10

Expression = 15 (True).

Expression = 15,521 ÷ x

Expression = 15,521 ÷ 15

Expression = 1034.73 (False).

Expression = (3,015 ÷ x) - 186

Expression = (3,015 ÷ 15) - 186

Expression = 201 - 186

Expression = 15 (True).

Expression = 20x² ÷ 30

Expression = 20(15)² ÷ 30

Expression = 4500 ÷ 30

Expression = 150 (False).

Expression = 20x²/5 - 25

Expression = 20(15)²/5 - 25

Expression = 900 - 25

Expression = 875 (False).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

If Francis ran 7.5 miles in 1/2 hour, then the distance he covered in one hour will be: m/x = 7.5/(1/2) = 15 miles.  We need the value of x in order to determine the distance he covered in one hour.

Given that Francis ran m miles in x hours.

To find how many miles can Francis run in one hour, we need to calculate how much distance he can cover in one hour.

Since he ran m miles in x hours, we can find how many miles he can run in 1 hour using unitary method as follows:

In x hours, he can run m miles.

Therefore, in 1 hour, he can run m/x miles or we can say that the speed of Francis is m/x miles per hour (mph).

Therefore, Francis can run (m/x) miles in one hour. According to the question, Francis ran miles in of an hour, we don't have the value of x, we cannot determine the exact distance he covered in 1 hour.

For instance, if Francis ran 5 miles in 1/2 hour, then the distance he covered in one hour will be:m/x = 5/(1/2) = 10 miles.

Similarly, if Francis ran 7.5 miles in 1/2 hour, then the distance he covered in one hour will be: m/x = 7.5/(1/2) = 15 miles. Thus, we need the value of x in order to determine the distance he covered in one hour.

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