Part E Since the areas of square 4 and square 5 are the same, set the two expressions equal.

The airplane's angle of elevation from the runway is approximately 17.36 degrees, and the distance between the plane and the ground is 4772.79 ft.

Here are the main answers to the question:

First, we will find the distance between the plane and the ground:5000² = 25000000+ 1500² = 2250000d² = 22750000d = 4772.79 ft.

To find the angle of elevation, we will use the tangent ratio:tan A = opposite/hypotenuse = 1500/4772.79A = tan⁻¹(1500/4772.79)A = 17.36°.

The airplane's angle of elevation from the runway is approximately 17.36 degrees.

In conclusion, the airplane's angle of elevation from the runway is approximately 17.36 degrees, and the distance between the plane and the ground is 4772.79 ft.

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Answer:

560

Step-by-step explanation:

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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Answer:

1)40

17+23-->20+20=40

2)80

42+37=40+40=80

3)80

9+73=10+70=80

4)90

68+21=70+20=90

5)90

12+81=10+80=90

The trinomials is x^4-2x+1 and ax^2+bx+c.

What is trinomials?

An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.

Selecting  all of the trinomials:

\(x^4-2 x+1\)

Use the rational root theorem

\(=(x-1) \frac{x^4-2 x+1}{x-1}\)

\(\begin{aligned}& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)

This is a trinomials.

ax^2+bx+c

This is a trinomials.

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The trinomials is x^4-2x+1 and ax^2+bx+c.

What is trinomials?

An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.

Selecting  all of the trinomials:

x^4-2 x+1

Use the rational root theorem

\($$\begin{aligned}& =(x-1) \frac{x^4-2 x+1}{x-1} \\& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)

This is a trinomials.

ax^2+bx+c

This is a trinomials.

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The correct statements are A, B and E

SOLUTION:

Given, number is

We have to choose the statements that correctly describes the above number.

Now, we know that, a bar on a number represents it is repeating decimal. So let us check options now.

A. It is a repeating decimal.

As the number has it is repeating decimal. So this option is correct.

B. It is a non-terminating decimal.

As the number is repeating, it will not terminate, so this option is correct.

C. It is a non-repeating decimal.

No, it is repeating. So this is wrong statement.

D. It is a terminating decimal.

It is non – terminating, so this is wrong.

E. It is a rational number.

As it is repeating, we can represent it in fraction, so this is correct.

F. It is not a rational number.

It is rational number so, this is wrong option.

Answer:

The answers are

A.

B.

E.

Yes, the wait time significantly decreased after implementing the new system, based on hypothesis testing.

To determine if the wait time has significantly decreased, we can conduct a hypothesis test using the one-sample t-test. The null hypothesis, denoted as H0, is that the population mean waiting time is still 84.3 seconds, while the alternative hypothesis, denoted as Ha, is that the population mean waiting time has decreased to less than 84.3 seconds.

Let's set the significance level at α = 0.05. Since the sample size is large (n = 45), we can use the t-distribution to conduct the hypothesis test. The test statistic can be calculated as:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

t = (79.1 - 84.3) / (17.3 / sqrt(45))

t = -2.16

Using a t-distribution table or calculator with 44 degrees of freedom

(df = n - 1), the p-value for this test is found to be approximately 0.018.

Since the p-value (0.018) is less than the significance level (0.05), we reject the null hypothesis. This means we have evidence to suggest that the wait time has significantly decreased after implementing the new drive-through system.

Therefore, based on the given data, we can conclude that the wait time has significantly decreased at the fast-food restaurant after implementing the new drive-through system.

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Notice that the common difference in both rows of the table is 1. Then for each unit in x, we have to increase also 1 unit in y.

From the options, only "Ricardo had fibe books and then started buying one more book each month" can be represented with the table

Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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Answer:

i hope u can use this

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Answer:2(x+1/2x)+3=105

Step-by-step explanation: that is how i got my answer. If not a similar answer i would go with 2x+3=3x+105.

You can automatically eliminate the first answer. The second one has a random 5, so eliminated. and the last one just isn't correct.

The given function f(x) = ax^b e^(cx^2) can be characterized by three unknown constants, a, b, and c. To determine the values of these constants, additional information or conditions are needed, such as specific points on the graph or the behavior of the function at certain limits.

To find the constants a, b, and c in the function f(x) = ax^b e^(cx^2), we require additional information. For instance, if we are given specific points on the graph of the function, we can substitute the x and f(x) values into the equation and solve for the unknown constants.

Alternatively, if we have information about the behavior of the function at certain limits (e.g., as x approaches infinity or as x approaches zero), we can use that information to determine the values of a, b, and c.

Without specific conditions or information, it is not possible to uniquely determine the values of a, b, and c, and the function remains general with the three constants left undetermined.

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Each sedan can seat 2 passengers per type of taxi seat and each minivan can seat 2 passengers per type of taxi seat.

Total no. of sedans requested by the first group = 1

Total no. of minivans requested by the first group = 2

Total no. of people that can be seated = 13

Total no. of sedans requested by the second group = 3

Total no. of minivans requested by the second group = 2

Total no. of people that can be seated = 19

Now, the total no. of people for each type of taxi can seat = 13 passengers / 3 taxis.

By rounding up to the nearest value,  4 passengers per taxi.

No. of sedan seats = No. of passengers of a minivan.

By implementing division,

So, the total no. of passengers for each type of taxi can seat = 4/2 = 2 passengers.

Therefore, each sedan can seat 2 passengers per type of taxi and each minivan can seat 2 passengers per type of taxi.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The angles 2 and 3 are corresponding angles. So it's choice C.

Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Answer:

The equation of the line is:

\(y = -3x+10\)

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

\(y-y_1=m\left(x-x_1\right)\)

\(y - (-2) = -3(x-4)\)

\(y+2 = -3x+12\)

\(y = -3x+12-2\)

\(y = -3x+10\)

Therefore, the equation of the line is:

\(y = -3x+10\)

The graph is attached below.

The symbolic representation of the statement "All maples are trees" is: ∀x(M(x) → T(x))

To translate the statement "All maples are trees" into symbolic form, we can use predicate letters to represent the relevant concepts. Let's assign the predicate letters as follows:

M: x is a maple.

T: x is a tree.

Using these predicate letters, we can translate the statement as follows:

For all x, if x is a maple (M), then x is a tree (T).

In symbolic form, this can be represented as:

∀x(M(x) → T(x))

The symbol ∀ represents the universal quantifier "for all" or "for every," indicating that the statement applies to all objects in the domain of discourse. In this case, the domain of discourse would include all objects or elements under consideration, such as trees.

The arrow (→) represents the implication, indicating that if an object x is a maple (M), then it is also a tree (T). The implication symbolizes the logical relationship between the antecedent (M(x)) and the consequent (T(x)), stating that if the antecedent is true (x is a maple), then the consequent must also be true (x is a tree).

This symbolic form accurately captures the idea that for every object x in the domain, if it is a maple, then it is also a tree. It provides a concise and precise representation of the statement in the language of symbolic logic.

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Answer:

Step-by-step explanation:

\(hope \: it \: helps\)

For dividing decimals, we need to move the point in the number of the divisor to the right and then count how many spaces the point moved. The spaces the point moved, then you will move the point inside the division (the dividend) with the same amount of spaces it moved in the divisor. For example:

Now, let's do the example if we only had the decimal number in the dividend. When there is only a decimal number in the dividend, then the point in the answer would be located at the same place where the point is in the number. Then, you just have to ignore the point and think of the division as whole numbers:

As we see there isn't a multiple of 30 that can divide 0. Then we have to put a 0 there in the first number of the solution.

Then we have a 06 number in the divided that again, there isn't any multiple of 30 that can divide it, therefore, we have to put another 0.

Because of that, we need to put a new 0 after the 6 in order to have a multiple of 30 that can divide it. Now the number we have is 060.

We know that 30 can be multiplied by 2 and it would be 60.

Remember in the solution we have already 0.0, now with the 2 we add it to the 0.0 and it will be 0.02. Therefore the answer is 0.02

The ratio 3.4/2.2 can be expressed as a fraction in lowest terms as 17/11.

To find the fraction in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 17 and 11 is 1, as there are no common factors other than 1. Dividing 17 and 11 by 1 gives us the fraction 17/11, which is already in its simplest form.

In the given ratio 3.4/2.2, the numerator is 3.4 and the denominator is 2.2. To convert it into a fraction, we can express both the numerator and denominator as whole numbers by multiplying them by a power of 10. In this case, we multiply both 3.4 and 2.2 by 10 to get 34 and 22, respectively. The ratio then becomes 34/22. To simplify this fraction, we find the greatest common divisor of 34 and 22, which is 2. Dividing both the numerator and denominator by 2 gives us the fraction 17/11, which is the simplest form of the ratio.

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Answer:

y = 2x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 0) ← 2 points on the line

m = \(\frac{0-(-2)}{1-0}\) = \(\frac{0+2}{1}\) = \(\frac{2}{1}\) = 2

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 2x - 2 ← equation of line

Answer:

y = 2x - 2

Step-by-step explanation:

The equation y = mx + b is a standard form of a linear equation in one variable. It represents a straight line on a graph

In this equation, y is the dependent variable, which is the variable that is being measured or predicted. The independent variable is x, which is the input or cause in the relationship.

The coefficient m is the slope of the line, which tells you the rate of change between the two variables. It represents how much the value of y changes for each unit change in the value of x. A positive slope means that the line goes up as you move from left to right, while a negative slope means that the line goes down.

- Our slope is positive

- slope (m) = rise / run = 2/1 = 2

The constant b is the y-intercept, which is the point where the line crosses the y-axis. It represents the value of y when x is equal to 0.

- Our y-intercept is -2

m is 2 and b is -2, the equation y = 2x - 2 represents a line with a slope of 2 and a y-intercept of -2. This means that for every 1 unit increase in the value of x, the value of y increases by 2 units, and the line crosses the y-axis at the point (0, -2).

This question can be done using simple BODMAS rule, the answer according to which is in main body.

What is BODMAS?

BODMAS stands for Bracket Of Division Multiplication Addition Subtraction.

Main Body:

according to question=

6-4x = 6x -8x +2

solving the like terms on right side

6 - 4x = -2x +2

-2x is the answer to first blank

solving further,

6 = -2x +4x +2

6 = 2x +2

so 2x is the answer to second blank.

now taking 2 to left side ,

4 = 2x

x= 2

Hence the value to blanks are found.

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

(fog)(x)= -x^2-7x-5

Step-by-step explanation:

According to what I've learned that could be re-written as f[g(x)]

First, I would plug in the function g(x) into the function f(x)

f(x)=-x-12

 Substitute all values of x for (x^2+7x-7)

f(x^2+7x-7)= -(x^2+7x-7)-12

Now you simplify

= -x^2-7x+7-12

Combine like terms

= -x^2-7x-5

Answer:

B) 20 mi

Step-by-step explanation:

a² + b² = c², where c is the hypotenuse or longest side

12² + 16² = x²

144 + 256 = 400

x² = 400

x = √400 = 20

Answer = 20 miles

Hope this helps!

Answer:

20mi

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Answer:

4x+8 =5

Step-by-step explanation:

sum = +

times = Multiply

is = =

4*x +8 = 5

Answer:

4x+8=5

Step-by-step explanation:

Let's assume the number is x

Four times x plus 8 is 5

4x+8=5

***Optional

If you need to solve it...

4x+8=5

4x=-3

x= - \(\frac{3}{4}\)

Hope this helps! :D

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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The width of a rectangular computer monitor with a diagonal measurement of 26 inches falls between the integers 36 and 37, so k is 36.

Let the length of the monitor be 3x and the width be 2x, where x is a positive constant.

Using the Pythagorean theorem, we can write:

(3x)^2 + (2x)^2 = 26^2

Simplifying this equation, we get:

13x^2 = 26^2

x^2 = 2 * 13^2

x = 13√2

So the width of the monitor is 2x = 26√2 inches.

To find the integers k and k+1 between which the width of the monitor falls, we can approximate the value of 26√2:

26√2 ≈ 36.8

So the width of the monitor is between the integers 36 and 37. Therefore, k = 36.

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The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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