Help with this please

When a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.

It's important to note that pressure increases as depth increases under water. The pressure in pounds per square foot, P, at a depth of d feet is given by the equation:

P = 0.433d + 14.7 where 0.433 is a constant for water, and 14.7 is the pressure at the surface.

In order to find the depth at which the pressure is 159 pounds per square foot, we need to solve the equation for

d.P = 0.433d + 14.7

Substitute P = 159 and solve for

d.159 = 0.433d + 14.7

Subtract 14.7 from both sides.

144.3 = 0.433d

Divide both sides by 0.433 to isolate d.

d ≈ 333.06

Hence, when a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.

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The area of the Trapezium given in the question is 28ft²

The area of a trapezium is calculated using the relation :

Using the parameters given for our compuation:

height, h = 4

b1 = 9

b2 = 5

Inputting the parameters into our formula :

Area = 4/2(5 + 9)

Area = 2(14)

Area = 28ft²

Therefore, the area of the Trapezium is 28ft²

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Answer:

2 x 2+ 8 x 0= 4

Step-by-step explanation:

Answer:

c.16

hope this helps some one, have a nice day :)

Step-by-step explanation:

i just took the quiz and got it correct

Answer:

#1. $308.28

#2. $48,004.80

#3. $19,361.91

#4. $20,306.31

#5. $130.00

#6. $206.38

#7. $337.57

Step-by-step explanation:

All rounded to the near tenths place

and i just did this same assignment rn

Triangle b is a obtuse triangle.

A closed triangle has three vertices, three sides, and three angles. The symbol for a triangle with the three vertices P, Q, and R is PQR. Sandwiches and signboards in the shape of triangles are the most prevalent triangle-shaped objects.

A triangle has an obtuse angle if one of the inner angles is greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the total of the other two angles is also less than 90°.

As the triangle B have one interior angle as 126 degree which is greater than 90

so it follows the property of obtuse triangle

Hence, triangle b is a obtuse triangle.

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For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

Answer:

3 answer

Step-by-step explanation:

45-9x=4x-20

-5x=-65

x=13

Answer: Both angles are 104°

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

Using angle rules, we know that angle 6 and angle 4 are congruent. Since angle 4 and angle 3 are on the same line, we can find angle 3 by subtracting 76 from 180 which is 104. Angle 1 and angle 5 are opposite each other so they are congruent.

Angle 1 and Angle 3 both equal to 104 degrees.

When a long cylinder with a diameter of 0.4 meters is removed from an oven, it is important to consider several factors, including the temperature of the oven, the material of the cylinder, and the rate at which the cylinder cools down.

This means to solve the above questions it is important to know the important terms. A tube or cylinder is a three-dimensional geometric shape formed by two identical circles aligned and a rectangle surrounding the two circles. The tube has 3 sides and 2 sides.

The diameter of a circle, in geometry, is the straight line segment that passes through the center and connects any two points on the circle, or, in modern usage, diameter means the length of the line segment.

The radius or radius of a circle is the line that connects the center of the circle to a point on the circumference of the circle. In a 3-dimensional shape, the radius connects the center of the sphere to a point on the surface of the sphere.

Materials are substances or objects from which something can be made from, or items needed to make something. Material is an input in production.

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As long as the prevalence of diabetes is the same in both communities, the PPV of Test 1 would not change. The answer is B. Not change.

If Test 1 was administered to community Y, whose diabetes prevalence is equal to the diabetes prevalence in community X, then the PPV would not change. This is because the PPV is dependent on the prevalence of the disease in the population being tested, not on the population itself. Therefore, as long as the prevalence of diabetes is the same in both communities, the PPV of Test 1 would not change. The answer is B. Not change.

If Test 1 was administered to community Y, whose diabetes prevalence is equal to the diabetes prevalence in community X, then the Positive Predictive Value (PPV) would B. Not change. This is because the PPV is influenced by the prevalence of the condition in the population being tested, and since the prevalence is equal in both communities, the PPV would remain the same.

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Value of the iterated integral is 64.

To make it clearer, I'll rewrite the integral using proper notation:

∫(from 0 to 2) ∫(from 0 to 2x) ∫(from 0 to y) 3xyz dz dy dx

To evaluate the iterated integral, follow these steps:

1. Evaluate the innermost integral with respect to z:

∫(from 0 to 2) ∫(from 0 to 2x) [(3xyz²)/2] (from 0 to y) dy dx

2. Plug in the limits of integration for z:

∫(from 0 to 2) ∫(from 0 to 2x) [(3xy³)/2 - 0] dy dx

3. Evaluate the next integral with respect to y:

∫(from 0 to 2) [(3x²y⁴)/8] (from 0 to 2x) dx

4. Plug in the limits of integration for y:

∫(from 0 to 2) [(3x²(2x)⁴)/8 - 0] dx

5. Simplify the expression:

∫(from 0 to 2) [(3x¹⁰)/8] dx

6. Evaluate the outermost integral with respect to x:

[(3x¹¹)/88] (from 0 to 2)

7. Plug in the limits of integration for x:

[(3(2)¹¹)/88 - (3(0)¹¹)/88]

8. Simplify the expression:

(3 * 2048) / 88 = 6144 / 88 = 64

So the value of the iterated integral is 64.

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Answer:

3031

Step-by-step explanation:

8.25 percent of 28000 is 231 add that to 2800 is 3031

A table that shows the length and width of at least 3 different rectangles is shown below.

All the rectangles have the same perimeter.

An equation to represent the relationship is x + y = 18.

The independent variable is length and the dependent variable is width.

A graph of the points is shown in the image below.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(x + y)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

36 = 2(x + y)

18 = x + y

Length       Width     Perimeter

10                   8              36

14                   4              36

15                   3              36

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The probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

A person will have to do 5 coin tosses which means,

No. of total observations  = 25

Required outcome → 5 Heads { T , T , T , T , T }

This outcome  can occur only once so required outcome will be 1

Thus, required outcome  =1

Probability (5 Tails) = 1 / 2⁵ = 1 / 32

Hence , the probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

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Answer:

Angle 5

Angle 8

Step-by-step explanation:

\( \angle 5 \:\&\: \angle 8\) measure less than the measure of Angle 1.

The Accounting Rate of Return (ARR) for the new expansion project is 44.95%. The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment.

The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment. ARR is calculated by dividing the average accounting profit (before tax and interest) by the average investment. It is also known as the average rate of return, which is the average net income of the investment over its life, divided by the amount of the initial investment. In other words, ARR is the profit per year, divided by the initial investment, expressed as a percentage. It helps businesses to identify the potential return of their investment and make better decisions about whether to pursue a project or not.

In the given question, Transload Pty Ltd, a haulage company, has tasked you with analyzing and evaluating a new expansion project’s profitability. To calculate the Accounting Rate of Return, the first step is to calculate the average accounting profit of the project. The average accounting profit is the sum of the cash inflows over the life of the project, minus the depreciation expense, divided by the life of the project. In this case, the life of the project is seven years. Using the figures given in the question, we can calculate the average accounting profit:

Year 1: R1 150 000

Year 2: R1 270 000

Year 3: R1 300 000

Year 4: R1 210 000

Year 5: R1 320 000

Year 6: R1 325 000

Year 7: R1 325 000

Total cash inflows over the life of the project = R9 900 000

Average accounting profit = (R9 900 000 - R857 142*) / 7

= R1 348 661*Depreciation:

R6 000 000 / 7 years = R857 142

The next step is to calculate the average investment for the project. In this case, the average investment is the initial investment minus the scrap value, divided by two. The scrap value is assumed to be zero in this case because it was not provided in the question.

Average investment = (R6 000 000 - 0) / 2= R3 000 000

Finally, the Accounting Rate of Return (ARR) can be calculated by dividing the average accounting profit by the average investment, expressed as a percentage:

ARR = (R1 348 661 / R3 000 000) x 100%

ARR = 44.95%

Therefore, the Accounting Rate of Return (ARR) for the new expansion project is 44.95%.

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Answer:

178.76

Step-by-step explanation:

Subtract .24 from 179

The surface area of the composite figure is; SA = 224 in.²

From the composite figure attached, we can find the surface area of each of the rectangular/square external face seen as:

\(SA= 2(10 \times 2) + 2(4 \times 7) + 2(4 \times 4) + 2(4 \times 2) + (4 \times 7) + (10 \times 4) + (3 \times 4)\)

\(SA = 40 + 56 + 32 + 16 + 28 + 40 + 12\)

\(SA = 224 \ \text{in}.^2\)

Thus, we can conclude that the surface area of the composite figure is:

\(SA = 224 \ \text{in}.^2\)

The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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The sample size of flights required is 159.

Sample size determination is the process of calculating the number of individuals or items that need to be included in a sample to obtain statistically significant results in a study.

The sample size is determined based on the population size, the level of confidence desired, the margin of error, and the expected variability in the data.

We can use the formula for the margin of error of a confidence interval:

Margin of error = z × (standard deviation / √(sample size))

Here we have

An initial study of US domestic flights produced 81 as the standard deviation of the flight times (in minutes).

The confidence level is 98%

We want the margin of error to be 15 minutes,

So we can rearrange the formula to solve for the sample size:

=> sample size = (z × standard deviation / margin of error)²

Substituting in the given values, we get:

=> sample size = (2.33 × 81 / 15)² = 158.3

Rounding up to the nearest whole number, we need a sample size of at least 159 flights.  

Therefore,

The sample size of flights required is 159.

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Answer:

20% off 45.00 is 36.00

Step-by-step explanation:

The difference is $9.00

Answer:

$36

Step-by-step explanation:

20% of $45 is $9.

$45 - $9 = $36

Answer:

8x+11=5x+2

8x-5x=2-11

3x=-9

÷by 3 both sides

x=-3

The sets that number 343 belongs to are:

So, 343 is:

Therefore, the sets that number 343 belongs to are:

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Answer:

corresponding angles

the angles are equal

equation: 9x+8 = 4x+18

x=2

angle measurements: 26⁰

Step-by-step explanation:

solve your equation

9x+8 = 4x+18

subtract 4x from each side

5x + 8 = 18

subtract 8 from each side

5x = 10

divide by 5

x = 2

insert x=2 into original equations to make sure you get the same answer.

9(2) + 8 = 26

4(2) + 18 = 26