What is the angle of depression from the top of a 400-fc foot cable that runs from a towel to a point 325 feet away

Answer:

17

Step-by-step explanation:

The surface area of the prism is 144 square cm

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

The figure

The surface area of the prism is the sum of the areas of the figures

So, we have

Surface area = 3 rectangles + 2 triangles

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * 3 * 10 + 3 * 12 + 1/2 * 8 * 12

Evaluate

Area = 144

Hence, the area is 144 square cm

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Answer:

hi pls mark me brain list

The answer is A. The function g(x) = x is a unit vector in the vector space C[0, 1] and B. The cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x is 15 /\((2\sqrt{15})\).

To determine whether the function f(x) = 3x is a unit vector in the vector space C[0, 1] with the given inner product, we need to calculate its norm or magnitude.

The norm of a function f(x) in this vector space is defined as ||f|| = sqrt((f, f)), where (f, f) is the inner product of f with itself.

Using the inner product given, we can calculate the norm of f(x) as follows:

\(||f|| = sqrt(integral^1_0 (3x)^2 dx)\\= sqrt(integral^1_0 9x^2 dx)\\= sqrt[9 * (x^3/3) | from 0 to 1]\)

= sqrt[9/3 - 0]

= sqrt(3).

Since the norm of f(x) is sqrt(3) ≠ 1, we can conclude that f(x) = 3x is not a unit vector in this vector space.

To find a function that is a unit vector, we need to normalize f(x) by dividing it by its norm. Let's denote this normalized function as g(x):

g(x) = f(x) / ||f||

= (3x) / sqrt(3)

= sqrt(3)x / sqrt(3)

= x.

Therefore, the function g(x) = x is a unit vector in the vector space C[0, 1].

(b) To find the cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x, we can use the inner product and the definition of cosine:

cos(θ) = (f, g) / (||f|| ||g||).

Using the given inner product, we have:

\((f, g) = integral^1_0 (5x^2)(9x) \\\\dx= 45 * integral^1_0 x^3 \\\\dx= 45 * (x^4/4 | from 0 to 1)\)

= 45/4.

The norms of f(x) and g(x) are:

\(||f|| = sqrt(integral^1_0 (5x^2)^2 dx)\\= sqrt(integral^1_0 25x^4 dx)\\= sqrt[25 * (x^5/5) | from 0 to 1]\)

= sqrt(5).

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt[81 * (x^3/3) | from 0 to 1]\)

\(= 3\sqrt{3}\)

Substituting these values into the cosine formula:

cos(θ) = (45/4) / (sqrt(5) * 3√3)

\(= (15/2) * (1 / (sqrt(5) * √3))= (15/2) * (1 / √15)= (15/2) * (1 / (√3 * √5))= 15 / (2√15).\)

Therefore, the cosine of the angle between \(f(x) = 5x^2 and g(x) = 9x is 15 / (2\sqrt{15}).\)

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The final expression for the given problem is (f(3+h) - f(3))/h = -h - 3.

To solve this problem, we first need to determine the value of f(3+h) and f(3):

Given \(F(x) = 4 + 3x - x^2\), we can find f(3+h) by substituting 3+h for x:

\(f(3+h) = 4 + 3(3+h) - (3+h)^2\\f(3+h) = 4 + 9 + 3h - (9 + 6h + h^2)\\f(3+h) = -h^2 - 3h + 4\)

Next, we can find f(3) by substituting 3 for x:

\(f(3) = 4 + 3(3) - (3)^2\\f(3) = 4 + 9 - 9\\f(3) = 4\)

Now we can substitute these values into the expression (f(3+h) - f(3))/h:

\((f(3+h) - f(3))/h = ((-h^2 - 3h + 4) - 4)/h\\(f(3+h) - f(3))/h = (-h^2 - 3h)/h\\(f(3+h) - f(3))/h = -h - 3\)

Therefore, the final expression for the given problem is:

(f(3+h) - f(3))/h = -h - 3

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Answer:

C

Step-by-step explanation:

The average number of patients on Saturday and Sunday is 70.

Given that the average number of patients that a doctor had was 56, from Monday to Friday, and that the average number of patients that the doctor had was 60, from Monday to Sunday.

Let x be the average number of patients on Saturday and Sunday. Then, we can use the formula for the average of a set of numbers to set up an equation:

(56 x 5 + x × 2)/7 = 60

Simplifying this equation, we get:

(280 + 2x)/7 = 60

Multiplying both sides by 7, we get:

280 + 2x = 420

Subtracting 280 from both sides, we get:

2x = 140

Dividing both sides by 2, we get:

x = 70

Therefore, the average number of patients on Saturday and Sunday is 70.

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Answer:

Step-by-step explanation:

Area = 4(6+12)/2 = 36 sq cm

Answer:

36cm²

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the area of a trapezoid formula

\(A = \frac{a +b}{2} h\)

a = base 1

b = base 2

h = hypotenuse

Now we just plug in the values and get

\(A = \frac{6+12}{2} 4\)

6+12=18

\(\frac{18}{2} = 9\)

9x4=36

So the area of the trapezoid is 36 cm ²

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

-3a-4b+5

(3a - 6b +12)- (6a - 2b+ 7).

step 1: remove parentheses and change 2b +7 to 2b -7 and 6a -2b to 6a +2b

3a - 6b +12- 6a + 2b- 7

-3a-4b+5

step 2: from 3a - 6b +12- 6a +2b- 7

subtract: 3a - 6a= -3a.

now its -3a - 6b + 12 - 6a + 2b - 7

then 6b - 2= 4

now is -3a - 4b + 12 - 7

then 12 - 7 =5

Answer: -3a-4b+5

sorry is messy

a) Dos ángulos rectos. SPQ Y SRQ

b) Dos ángulos agudos. QSR Y PQS

c) Dos ángulos suplementarios. NO HAY

d) Dos ángulos complementarios RSQ+PSQ=90°

e) Dos rectas paralelas. PQ║ SR ( ARIBA DE PQ Y SR LLEVA LINEA SEPARAD NO LINEA JUNTA)

f) Dos rectas perpendiculares PS⊥RS (LLEVA LINEA ARRIBA DE LAS DOS LETRAS LINEA SEPARADA)

g) Una recta transversal RS (LLEVA LINEA ARRIBA)

The solubility of BaCrO4 in a 0.0180 M BaCl2 solution is 6.50 x 10^-6 M.

We are given that;

Temperature= 25

bacl2 solution= 0.0180

Now,

In a 0.0180 M BaCl2 solution, we have to consider that some of the Ba2+ ions come from the BaCl2 salt, which is highly soluble and dissociates completely in water. Therefore, the concentration of Ba2+ in the solution is not equal to x, but rather 0.0180 + x. The concentration of CrO4^2- is still equal to x, since it only comes from the dissolution of BaCrO4. Then we have:

Ksp = (0.0180 + x)x

Solving for x, we get:

(0.0180 + x)x = 1.17 x 10^-10 x^2 + 0.0180x - 1.17 x 10^-10 = 0 Using the quadratic formula, we get: x = [-0.0180 ± √(0.0180^2 + 4(1.17 x 10^-10))] / 2 x ≈ -0.0180 or x ≈ 6.50 x 10^-6 M

We reject the negative value of x, since it does not make sense for a concentration to be negative.

Therefore, by the solution the answer will be 6.50 x 10^-6 M.

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Answer:

3 mi and \(\dfrac{4}{3}\) mi, 1 mi and 4 mi

Step-by-step explanation:

Length of one of rectangles = x

Breadth of one of the rectangles = y

Total enclosed area = \(8\ \text{mi}^2\)

Fence available = 16 miles

Total area is given by

\(2xy=8\\\Rightarrow y=\dfrac{4}{x}\)

Perimeter of the fence

\(2\times 2x+3y=16\\\Rightarrow 4x+3y=16\\\Rightarrow 4x+3\dfrac{4}{x}=16\\\Rightarrow 4x+\dfrac{12}{x}=16\\\Rightarrow 4x^2-16x+12=0\\\Rightarrow x=\frac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\times \:4\times \:12}}{2\times \:4}\\\Rightarrow x=3,1\)

If \(x=3\)

\(y=\dfrac{4}{x}=\dfrac{4}{3}\)

If \(x=1\)

\(y=\dfrac{4}{x}=4\)

The possible values of length and breadth are 3 mi and \(\dfrac{4}{3}\) mi, 1 mi and 4 mi respectively.

Answer:

x = 1.04, w = 2

Step-by-step explanation:

104 = 1.04 × 10²

Answer:

1.04 x \(10^{2}\), so your answer is x = 1.04, w=2

Strong negative correlation is 0.89. While the size of the number (0.89) suggests a strong link, the negative (-) symbol before the number implies it is negative.

Correlation coefficients demonstrate how strongly two independent variables, x and y, are connected linearly.

A linear correlation coefficient greater than zero indicates a relationship that is favorable.

A value less than zero denotes a bad relationship. To summarize, when x and y have values of 0, there is no link between them.

A statistic that describes how closely two variables' movements are related to one another is the correlation coefficient (r2).

The most widely used correlation coefficient is the Pearson product-moment correlation, which is used to detect if two variables are linearly related.

This correlation value, however, might not always be an accurate predictor of reliance in a non-linear link.

Hence, Strong negative correlation is 0.89. While the size of the number (0.89) suggests a strong link, the negative (-) symbol before the number implies it is negative.

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The model used by Victor in the linear equation is incorrect,

The parameters are that;

Victor saved: $89.25

Cost of the bicycle = $129.85

Thus, to find the amount extra that he will need to purchase the bicycle, the equation model should be;

$89.25 + x = $129.85

This can be expressed in words as;

The amount of money he already has saved + the amount of money he still requires = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

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Complete question is;

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor writes the equation below to help him determine the additional amount that he needs to solve to have enough to buy the bicycle.

89.25 + 129.85 = x

Does Victor's equation correctly model the problem?

Scores on one variable plotted against scores on a second variable.

The correct answer is (b)

Now, According to the question:

Let's know:

A scatterplot shows:

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

Hence, The correct answer is (b) i.e.,

Scores on one variable plotted against scores on a second variable.

Given,

In the question:

A scatterplot shows:

a. the average value of groups of data.

b. scores on one variable plotted against scores on a second variable.

c. the frequency with which values appear in the data

d. the proportion of data falling into different categories.

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Answer:

1000

Step-by-step explanation:

Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

The volume of the cake box is c. 648 cubic inches.

Volume refers to the amount of space occupied by an object or a three-dimensional figure. It is typically measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³).The volume of an object can be determined by multiplying its length, width, and height if it has a regular shape such as a rectangular prism or cube.

A rectangular box's volume is equal to its length, width, and height.

Substituting the given values, we get:

Volume of a cake box = 12 inches x 9 inches x 6 inches

Volume = 648 cubic inches

Therefore, the volume of the cake box is 648 cubic inches.

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To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

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Answer:

6.6, 7, 8, 8, 10

Step-by-step explanation:

7+8+8+10+X = 33/5

= 6.6

X= 6.6

Answer:

opens down

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) - (- 10, - 1 ) , then

y = a(x + 10)² - 1

To find a substitute (- 8, - 5) into the equation

- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )

- 4 = a(2)² = 4a ( divide both sides by 4 )

- 1 = a

y = - (x - 10)² - 1 ← equation in vertex form

To determine if it opens up/ down consider the value of a

• If a > 0 then curve opens up

• If a < 0 then curve opens down

Here a = - 1 < 0 then curve opens down

Answer

22

Step-by-step explanation:

24%=24/100, she finished 24% of her run and of means to multiply so 24/100 x93= 22.32. 22.32 rounded to the nearest tenth is 22 so 22 minutes is the amount of time that has gone by :)

Answer:

The answer is GV and VD

Step-by-step explanation:

Those are the answers because of the points on the line. Please pick me as brainliest!!  :)

Answer:

125 degrees

Step-by-step explanation:

B lost 2x but gained 40

40/2 = 20

logic!

Answer:

15%

Step-by-step explanation:

1335-1200=135

9 months=9/12

135=1200 x r x 9/12

135=900r

divide each by 900

135/900       900r/900

0.15=r

0.15=15%

The expression to represent the total amount Dave spends on hats (h) is: h = $28 * Number of hats bought.

To represent the total amount Dave spends on hats, we can use the following expression:

Total amount Dave spends on hats (h) = Number of hats (n) * Cost per hat ($28)

In this case, since Dave buys multiple hats, we need to consider the number of hats he purchases. If we assume that Dave buys "x" hats, the expression can be written as:

h = x * $28

Now, whenever we want to calculate the total amount Dave spends on hats, we simply multiply the number of hats he buys by the cost per hat, which is $28.

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Answer:

\(4p+3\)

Step-by-step explanation:

All this question is asking you to do is simplify the given expression by combining like terms.

The point of combining like terms is that you can only combine, well, like terms. Like terms are terms that have the same variables and are raised to the same power. This means that in this case, we can't combine \(4\) and \(6\) because \(4\) is attached to a variable. However, we can combine 6 and -3 because they are like terms; neither is attached to a variable. So, you end up with \(4p+3\).

I hope this helps!