From the observation deck of a skyscraper, Bentley measures a 48° angle of depression to a ship in the harbor below. If the observation deck is 969 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answer:

(14, 2).

Step-by-step explanation:

x - y = 12

y = 2

Solving this system:

Plug y = 2 into the first equation:

x - 2 = 12

x = 14.

Therefore the  point of intersection is at (14, 2).

a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

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Answer:

450

Step-by-step explanation:

The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons

\(=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495\)

The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together

\(= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45\)

So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups \(= 495-45=450\).

Answer:

Step-by-step explanation:

3t - 7 = 5t

~Subtract 3t to both sides

-7 = 2t

~Divide 2 to both sides

-7/2 = t

~Find 6t with what we found for t

6(-7/2)

-21

Best of Luck!

Answer:

-21

Step-by-step explanation:

Have a nice day!

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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Answer:

99.166666666666666666666; 595/6; 99 1/6; 99

Step-by-step explanation:

THE FORMULA IS (x)/(170)=(35)/(60)

solve for x

copy the formula in bold and paste it to math w]y:

(x)/(170)=(35)/(60)

choose the option to solve for x and 99.666666666666∞ is the answer.

The minimum sample size needed for the researcher to be 90% confident that the estimate is within 6 mm Hg is 111.

Given, a researcher is interested in estimating the mean systolic blood pressure

the blood pressures of a random sample of executives of major corporations is taken,

the standard deviation of the population of systolic blood pressures of executives of major corporations is 27 mm Hg

We have to find the minimum sample size, so that

confidence is 90% and the estimate is within 6 mm Hg.

Now, the value of Z for 90% confidence = 2.3458

Since E = 2.346

So, n = [2.346*(27/6)]^2

n= 111.450

n= 111 when rounded up

Hence, the minimum sample size needed for the researcher to be 90% confident that the estimate is within 6 mm Hg is 111.

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The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

What is the interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.

For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:

$1,750,000 * 3% / (12 * 20) = $63,750

The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.

For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:

($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23

The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.

Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

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B is right i took the same test

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

0.32

Step-by-step explanation:

2*1/4 = 0.4*4/5= 0.32

99.73 % of the points on a process control chart to fall within the UCL and LCL.

Given that,

We have to find the percentage of the points on a control chart to fall within UCL and the LCL.

We know that,

Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).

In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.

Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.

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From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

A is true

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

\(\textbf {Allow me to assist you.}\)

\(\textrm {Let's simplify the terms under the radicals.}\)

\(\mathsf {\sqrt{8} - \sqrt{72} + \sqrt{50}}\)

\(\mathsf {\sqrt{2 \times 2^{2}} - \sqrt{2 \times 6^{2}} + \sqrt{2 \times 5^{2}}}\)

\(\mathsf {2\sqrt{2} - 6\sqrt{2} + 5\sqrt{2}}\)

\(\boxed {\sqrt{2}}\)

\(\textbf {The answer is A.}\)

The measures of angles a through h as well as the angle relationship that justifies the conclusions are

a = 132° - Sum of angles on a straight line

b = 132°  - Vertically opposite angles

c = 132°  - Corresponding angles

d = 29°  - Sum of angles on a straight line

e = 29°  - Vertically opposite angles

f = 151°   - Vertically opposite angles

g = 29° - Corresponding angles

h = 19°   - Sum of angles in a triangle

48° + a = 180° (Sum of angles on a straight line)

∴ a = 180° - 48°

a = 132°

b = a (Vertically opposite angles) ∴

b = 132°

c = b (Corresponding angles)

∴ c = 132°

d + 151° = 180° (Sum of angles on a straight line)

d = 180° - 151°

∴ d = 29°

e = d (Vertically opposite angles)

∴ e = 29°

f = 151° (Vertically opposite angles)

g = e (Corresponding angles)

∴ g = 29°

h + c + d = 180° (Sum of angles in a triangle)

h + 132° + 29° = 180°

h + 161° = 180°

h = 180° - 161°

h = 19°

Hence, the measures of the angles are

a = 132° - Sum of angles on a straight line

b = 132°  - Vertically opposite angles

c = 132° - Corresponding angles

d = 29°   - Sum of angles on a straight line

e = 29°  - Vertically opposite angles

f = 151°   - Vertically opposite angles

g = 29°  - Corresponding angles

h = 19°  - Sum of angles in a triangle

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Answer:

\(\frac{1}{6} \\\)

Step-by-step explanation:

Each occurrence of rolling a \(6\) sided die has the same probability and one of those is rolling a \(5\). Since there are \(\blue 6\) occurrences in rolling a \(6\) sided die, the probability of each occurrence is \(\frac{1}{\blue 6}\\\).

Therefore, rolling a \(5\) with a \(6\) sided die has a probability of \(\frac{1}{6}\\\).

A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

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

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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To get the Prime factorization of 3000 we need to multiply by 5.

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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Complete the table representing a linear function with y = 10 and x = 9

The general form of a linear function is:

y = mx + c,

where m is the slope and c is the y-intercept

slope(m) = (y2-y1)/(x2-x1)

From the table:

point 1: x1 = 1, y1 = 0

point 2: x2 = 5, y2 = 40

slope(m) = (40-0)/(5-1) = 40/4 = 10

For the missing points:

x1 = 1, y1 = 0 and x2 = 2, y2 = y (unknown)

m = (y2-y1)/(x2-x1)

10 = (y-0)/(2-1)

10 = y/1

y = 10

x1 = 1, y1 = 0 and x2 =  x (unknown), y2 =90

m = (y2-y1)/(x2-x1)

10 = (90-0)/(x-0)

10 = 90/x

10x = 90

x = 90/10

x = 9

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Answer:

the answer would be 38 :)

Step-by-step explanation:

24÷3=8

(8)+3+3 to the 3rd power

3×3×3=27

8+3=12 ->12+27=38

hopefully this helps :)

Answer:

Step-by-step explanation:

step 1: 24/3 which equals to 8.

Step 2: 8+3= 11

Step 3: 3*3*3=27

step four: 11+27=20 answer=38