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Using proportions, the San Gabriel Mountains grow 0.00000000114 km/h.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

Hence the speed is:

0.00001/8760 = 0.00000000114 km/h.

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Answer:

132°

Step-by-step explanation:

Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°

24 + 24 + ∠PON = 180° - first, simplify this

48 + ∠PON = 180° - now, subtract 48 from both sides

∠PON = 132°

Hope this helps!

The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

1/243

Step-by-step explanation:

The range of the data provided in the boxplot given the minimum number and the maximum number is 2.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines known as the whiskers and a box. The left whisker represents the lowest number in the dataset. The right whisker represents the highest number in the dataset. The difference between these numbers is the range.

The box can be used to determine the first quartile, median and the third quartile. These values can be determined using the lines on the box.

The range of a data set is the difference between the highest number and the lowest number. Range is used to measure the variance of a dataset.

Range = highest number - lowest number

7.5 - 5.5 = 2

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Assuming the weight and magnitude of the person, we can conclude that the weight of the person is 491N.

The magnitude or size of a mathematical object determines whether it is larger or smaller than other objects of the same kind in mathematics.

Formally speaking, the magnitude of an object is the visible outcome of an ordering—of the class of objects to which it belongs.

So, the weight of the person will be:

The scale measures the passenger's normal upward force as it is applied by the floor.

When moving upward, the most force is generated (when starting an upward trip or ending a downward trip).

When there is a downhill acceleration, the normal force is at its lowest.

For any such circumstance:

∑F y​ =ma y  becomes for starting  +591N−mg=+ma and for stopping      +391N−mg=−ma.

Where a stands for the acceleration's magnitude.

To get rid of a and find mg, add these two simultaneous equations:

+591N−mg+391N−mg=0

OR

982N–2mg=0

Fg​ = mg = 982N/2​ = 491N

Therefore, assuming the weight and magnitude of the person, we can conclude that the weight of the person is 491N.

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Complete question:
A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591N. As the elevator later stops, the scale reading is 391N. Assuming the magnitude of the acceleration is the same during starting and stopping, determine the weight of the person.

Answer: 18/5

Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5

Answer:

\(\frac{2}{45}\)

Step-by-step explanation:

Just like you would divide 18 pounds of popcorn by 9 people, you should divide \(\frac{2}{5}\) by nine. This will result in \(\frac{2}{5}\) x  \(\frac{1}{9}\) and that equals \(\frac{2}{45}\).

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The difference between the two approximations is approximately 26.80 so option D is the correct answer.

We have,

To approximate the definite integral  \(e^{x^2}\) from 0 to 2 using two inscribed rectangles of equal width, divide the interval [0, 2] into two subintervals of equal width (h = 2/2 = 1).

Then calculate the area of each rectangle by evaluating the function at the left endpoints of the subintervals.

Now,

Approximation using inscribed rectangles:

Approximation 1

= f(0) * h + f(1) * h

\(= e^{0^2} * 1 + e^{1^2} * 1\)

= 1 + e

Next, use the trapezoidal rule with n = 2 to approximate the definite integral.

Approximation using the trapezoidal rule with n = 2:

Approximation 2 = (h/2) * [f(0) + 2f(1) + f(2)]

= (1/2) * [f(0) + 2f(1) + f(2)]

\(= (1/2) [e^{0^2} + 2e^{1^2} + e^{2^2}] \\ = (1/2) [1 + 2e + e^4]\)

Difference = Approximation 2 - Approximation 1

\(= (1/2) [1 + 2e + e^4] - (1 + e)\\= (1/2) [1 + 2e + e^4 - 2 - 2e - e)\\= (1/2) (e^4 - e - 1)\)

Difference ≈ 26.80

Therefore,

The difference between the two approximations is approximately 26.80.

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Answer:

What do you need help with kind sir or ma'am?

Step-by-step explanation:

Answer:

with what there is no question

Step-by-step explanation:

Answer:

\( \sqrt{x - x = 30 \\ 6 \times 6 - 6 = 30 \\ } 36 - 6 = 30 \\ 30 = 30 \\ 6\)

6 is the answer

The following table shows how many hot cocoas Mei Mei would likely sell if the day's high temperature was 42 oF:

58.

How is a linear function defined?

The following is the definition of a linear function's slope and intercept:

y = mx + b.

The slope, or m, indicates the rate of change.

The value of y at x=0 is represented by the intercept, b.

At y = 100, where the function meets the y-axis, the intercept b is defined as follows:

b = 100.

As y decays to 94 when x rises to six, the slope m is calculated as follows:

m = (94 - 100)/(6 - 0) (6 - 0)

m = -1.

As a result, the function that forecasts how much hot chocolate will be sold at a high temperature.

Lack of Information

The graphic provided at the end of the response provides the linear function's graph.

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Answer: 5 3/5

Step-by-step explanation:

3 + 2 = 5

2/5 + 1/5 = 3/5

5 + 3/5 = 5 3/5

Hope this helps!

Business Requirement Document (BRD)

Project Title: Loan Origination Process Automation for AER Bank

Project Objective: To automate the loan origination process of AER Bank to improve efficiency and reduce processing time.

I. Introduction

AER Bank is a financial institution that provides various loan products to its customers. The current loan origination process involves manual processing of loan applications, which is time-consuming and prone to errors. To improve the process efficiency, AER Bank intends to automate the loan origination process.

II. Scope

The loan origination process includes the following steps:

III. User Stories

IV. Acceptance Criteria

V. Priority

The priority of each user story is as follows:

VI. Constraints

VII. Queries

In case of any doubts, mail your queries to the trainer.

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Answer:

28 cents roughly

Step-by-step explanation:

Answer:

\(336798\:x^9\)

Step-by-step explanation:

Binomial Theorem

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\)

\(\textsf{Where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Given expression:

\(\left(x^3-\dfrac{3}{x}\right)^{11}\)

Therefore:

\(\implies a=x^3\)

\(\implies b=-\dfrac{3}{x}\)

\(\implies n=11\)

To find the value of r for the term in x⁹:

\(\implies a^{11-r} \cdot b^r=x^9\)

\(\implies \dfrac{(x^3)^{11-r}}{x^r}=x^9\)

\(\implies 3(11-r)-r=9\)

\(\implies 33-4r=9\)

\(\implies 4r=24\)

\(\implies r=6\)

Therefore, the term in x⁹ will be the 7th term, where r = 6:

\(\implies \displaystyle \binom{11}{6}a^{11-6}b^6\)

\(\implies \displaystyle \dfrac{11!}{6!(11-6)!}a^{5}b^6\)

\(\implies \displaystyle \dfrac{11!}{6!\:5!}a^{5}b^6\)

\(\implies \dfrac{11 \times 10\times 9\times 8\times 7\times \diagup\!\!\!\!\!6\times \diagup\!\!\!\!\!5\times \diagup\!\!\!\!\!4\times \diagup\!\!\!\!\!3\times \diagup\!\!\!\!\!2\times \diagup\!\!\!\!\!1}{\diagup\!\!\!\!\!6 \times\diagup\!\!\!\!\!5 \times\diagup\!\!\!\!\!4 \times\diagup\!\!\!\!\!3 \times\diagup\!\!\!\!\!2 \times\diagup\!\!\!\!\!1 \times5 \times4 \times3 \times2 \times1}a^5b^6\)

\(\implies \dfrac{55440}{120}a^5b^6\)

\(\implies 462a^5b^6\)

Substitute the values of a and b:

\(\implies 462\left(x^3\right)^5\left(-\dfrac{3}{x}\right)^6\)

\(\implies 462\:x^{15}\left(-\dfrac{3^6}{x^6}\right)\)

\(\implies 462\:x^{15}\left(\dfrac{729}{x^6}\right)\)

\(\implies 462 \cdot 729\left(\dfrac{x^{15}}{x^6}\right)\)

\(\implies 336798\:x^9\)

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The probability distribution of y is:

y = 0: 0.16

y = 1: 0.24

y = 2: 0.14

y = 3: 0.10

To determine the probability distribution of the random variable y, which represents the number of days beyond Wednesday it takes for both magazines to arrive, we can construct a tree diagram to visualize the different combinations of arrival days for the two magazines.

In the tree diagram, the first generation of branches represents the possible arrival days for Magazine 1 (M1), and the second generation represents the possible arrival days for Magazine 2 (M2).

The numbers in parentheses represent the value of y, the number of days beyond Wednesday. For example, (1) indicates y = 1, which means both magazines arrive on Thursday.

To determine the probability associated with each outcome, we multiply the probabilities of the individual branches along the corresponding paths.

Using the provided probabilities:

P(W) = 0.40, P(T) = 0.30, P(F) = 0.20, P(S) = 0.10

The probability distribution of y is as follows:

y = 0: P(M1 = W and M2 = W) = P(W) * P(W) = 0.40 * 0.40 = 0.16

y = 1: P(M1 = W and M2 = T) + P(M1 = T and M2 = W) = P(W) * P(T) + P(T) * P(W) = 0.40 * 0.30 + 0.30 * 0.40 = 0.24

y = 2: P(M1 = W and M2 = F) + P(M1 = T and M2 = T) + P(M1 = F and M2 = W) = P(W) * P(F) + P(T) * P(T) + P(F) * P(W) = 0.40 * 0.20 + 0.30 * 0.30 + 0.20 * 0.40 = 0.14

y = 3: P(M1 = W and M2 = S) + P(M1 = T and M2 = F) + P(M1 = F and M2 = T) + P(M1 = S and M2 = W) = P(W) * P(S) + P(T) * P(F) + P(F) * P(T) + P(S) * P(W) = 0.40 * 0.10 + 0.30 * 0.20 + 0.20 * 0.30 + 0.10 * 0.40 = 0.10

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Answer: n = 4

Step-by-step explanation:

-6(-2n + 4) = 24 (divide both sides by -6)

-2n + 4 = -4 (subtract 4 from both sides)

-2n = -8 (divide by -2 on both sides)

n = 4

Answer:

12n - 24 = 24

add 24 to both sides

12n = 48

divide 12 from both sides

n = 4

Answer:

x=15

Step-by-step explanation:

5x+17+36=128

5x+53=128

5x=75

x=15

Answer:

2ft

Step-by-step explanation:

Answer:

Yes, 26

Step-by-step explanation:

78 miles ÷ 3 gallons = 26 mpg

Answer:

56

Step-by-step explanation:

The benefit of using a curve over a histogram is that, it is a useful tool for visualizing data distributions, curves provide a more detailed and flexible representation of the data and offer additional advantages in terms of resolution, flexibility, parametric modeling, and comparison.

Visualizing data is an essential aspect of understanding the underlying patterns and relationships. In data analysis, two popular ways of visualizing data are histograms and curves. While both of these visualization techniques serve the purpose of summarizing data, each of them has its unique benefits and limitations.

Resolution: One of the main benefits of using a curve over a histogram is that a curve provides a higher resolution representation of the data. A curve can capture finer details of the data distribution that might get lost in a histogram due to the binning process.

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The hotel will need 32 feet of tiling in order to add this border.

The given figure represents a water fountain. A hotel needs to retile part of a water fountain. They plan to make a one -inch tile border around the edge of the pool. Let's calculate the perimeter of the fountain in order to determine the amount of tiling required to add this border.Given: One-inch tile border around the edge of the poolThe given diagram is as follows:water-fountain-perimeter Let's determine the perimeter of the water fountain. Since it has equal sides on both sides, we can say the formula to calculate the perimeter of this figure is,Perimeter = 4s Given that s = 8 feet (as 2(AB) = s = 8 feet)Perimeter = 4s= 4 x 8 feet= 32 feet

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Answer: Depends on the unit. IF INCHES: 6 1/2 = 78 Inches

Step-by-step explanation:

6.5 x 12 = 78

Please reply if not inches, I can try to help you after ^^

The bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner, as they need to assign them to two tables of five people each.

To determine the number of different groups of five people that can be formed, we can use the concept of combinations. In this scenario, we have 10 people who need to be divided into two groups of five people each.

The number of ways to choose five people out of 10 can be calculated using the combination formula. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where n represents the total number of people and r represents the number of people to be chosen. In this case, n = 10 and r = 5.

Plugging these values into the formula, we get:

C(10, 5) = 10! / (5! * (10 - 5)!)

= (10 * 9 * 8 * 7 * 6 * 5!) / (5! * 5 * 4 * 3 * 2 * 1)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, the bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner. This means that there are 252 distinct ways to divide the 10 people into two tables of five people each, providing flexibility in creating diverse groups for the dinner.

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Answer:

x = 2

Step-by-step explanation:

1) If there is a number right next to a bracket, then it means that it should be multiplied. --> 4(5 -2x) = 25 - 10x

2) (20 - 8x) + 3 = 23 - 8x

3) 23 - 8x = 7

4) 16 = 8x

5) We divide both sides with 8 to leave x. --> 2 = x

6) x = 2

Total number of seats that remain unsold are 168.

What is statistics?

The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Let's start by defining some variables to represent the unknowns in the problem:

From the problem, we know that:

We also know that the total revenue collected is $34,650:

27x + 45y = 34650

Now we can substitute y = 0.5x from the second equation into the third equation and simplify:

27x + 45(0.5x) = 34650

27x + 22.5x = 34650

49.5x = 34650

x = 700

So there were 700 $30-seats and 350 $50-seats.

The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.

Therefore, the total number of seats sold is 882, and the number of unsold seats is:

1050 - 882 = 168

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In a particular region, the electric potential is given by v = −xy9z 8xy, where and are constants. The electric field in the region is E = (y9z - 8y) i + (x9z - 8x) j + 8xy k.

Given: The electric potential is given by v = −xy9z 8xy, where x and y are constants.

We know that the relation between electric field and electric potential is given as, $\ vec E = -\frac{d\vec V}{dr}$.Where, E = electric field V = electric potential = distance.

The electric field can be determined by taking the gradient of the potential, and we will apply it step by step below,

∇V = (∂V/∂x) i + (∂V/∂y) j + (∂V/∂z) k.

Let's calculate these three derivatives separately, ∂V/∂x = -y9z + 8y∂V/∂y = -x9z + 8x∂V/∂z = -8xy

Substitute the values of all three derivatives in the equation of electric field given below,  E = -∇V.

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The electric field in the given region is E = (9yz/8x²) i - (0) j - (9y/8x) k.Given that the electric potential is given by the function,v = −xy9z/8xyIn electrostatics, the electric field (E) is defined as the negative gradient of electric potential (V).

In scalar form, the relation between electric field and potential is given as;

E = -∇VEquation of the electric potential is given by;

V = −xy9z/8xy

Differentiating the potential with respect to x, y and z to obtain the corresponding components of electric field.

Expressing the potential as a sum of functions of x, y and z we have;

V = -y(9z/8x)

Also, note that in the given potential function, there is no term with respect to the y direction. Hence, the partial derivative with respect to y is zero.∴

Ex = - ∂V/∂x

= -(-9yz/8x²)

= 9yz/8x²As ∂V/∂y

= 0,

so Ey = 0

∴ Ez = - ∂V/∂z

= - (9y/8x)

Putting the values of Ex, Ey and Ez in

E = (Exi + Eyj + Ezk),

we have;E = (9yz/8x²) i - (0) j - (9y/8x) k

Hence, the electric field in the given region is E = (9yz/8x²) i - (0) j - (9y/8x) k.

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