8.11 a total of 725 auto-mode social/recreational trips are made from an origin (residential area) during the peak hour. a logit model estimation is made, and three factors were found to influence the destination choice: (1) population at the destination, in thousands (coefficient

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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The function g(x) = x² + 4x has a: A. minimum.

The minimum value occur at x = -2.

The function's minimum value is -4.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function g(x) = x² + 4x, we have:

a = 1, b = 4, and c = 0

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(4)/2(1)

Axis of symmetry, Xmax = -2

Next, we would determine vertex as follows;

g(x) = x² + 4x

g(-2) = -(-2)² + 4(-2)

g(-2) = -4.

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Answer:

vertical line u welcome

Answer:

Horizontal Line

Step-by-step explanation:

Answer: Your answer is 365

Step-by-step explanation: Hoped this helped you. And have a wonderful day!!!

The final result of 903 - 538 is 365.

To subtract 538 from 903, you perform the following calculation:

903 - 538 = 365

To explain the process, you start with the number 903 (minuend) and subtract 538 (subtrahend) from it.

1. Begin with the units place: 3 - 8. Since 8 is greater than 3, you borrow 1 from the tens place. The units place becomes 3 + 10 (borrowed) - 8 = 5.

2. Move to the tens place: 0 (in 903) - 3 (borrowed) - 3 (from 538) = -6.

3. Lastly, the hundreds place: 9 - 5 (from 538) = 4.

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Answer:

$170

Step-by-step explanation:

Sally costs 30

Max costs 40

Goliath costs 80(1.25) = 100

add them up

$170

Answer:

32,577.89

Step-by-step explanation:

used my calculator and just finished this module in school

The percentage of the total posters from England is 16%

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

Local posters = 20%

This means that

Foreign = 80%

20% of foreign is from England

So, we have

England = 20% * 80%

England = 16%

Hence, 16% is from England

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Given:

The side of square = 12 in.

Scale factor of enlargement = 3 in : 2 m

To find:

The proportion that is use to solve the side length, x, of the enlarged square.

Solution:

Let, the side of length of enlarged square = x m

In case of enlargement the corresponding sides are proportional.

\(\dfrac{3}{12}=\dfrac{2}{x}\)

\(3x=2\times 12\)

\(3x=24\)

Divide both sides by 3.

\(x=\dfrac{24}{3}\)

\(x=8\)

Therefore, the required proportion is \(\dfrac{3}{12}=\dfrac{2}{x}\) and the side length of the square after enlargement is 8 m.

Answer:

\(\huge\boxed{q^{42}}\)

Step-by-step explanation:

When we have \((a^b)^c\), we know that this is equivalent to \(a^{b\cdot c}\). This is because of exponent rules, you can test this out with literally any number.

This means that \((q^6)^7 = a^{6\cdot 7}\)

\(6 \cdot 7 = 42\\\\q^{42}\)

Hope this helped!

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

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

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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In circle the length of PQ = 24 inches.

What is Circle?

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the centre. The line of reflection symmetry is formed by each line that traverses the circle. Additionally, it possesses rotational symmetry around the centre for each angle.

Since AB= 25 inches and AC = 16 inches then

=> BC = AB-AC = 25-16 = 9 inches.

∠APB is a right angle because it is inscribed in a semicircle.

The three right triangles ᐃAPB, ᐃACP and ᐃPCB are all similar

because their corresponding angles are equal.  Therefore

=> \(\frac{AC}{PC}=\frac{PC}{BC}\)

=> \(\frac{16}{PC}=\frac{PC}{9}\)

=> \(PC^2 = 25*9 = 144 = 12^2\)

=> PC = 12 inches

By symmetry , PC = QC then,

=> PQ = 12*2 = 24 inches.

Hence the length of PQ is 24 inches.

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Answer:

Step-by-step explanation: B

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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Answer:

x-intercept = 6

y-intercept = -4

Slope: m = ⅔

f(3) = -2

Step-by-step explanation:

✔️The x-intercept is the value of x when y = 0. It is the point at which the line of the function intercepts the x-axis. Thus,

x-intercept = 6

✔️The y-intercept is -4. At this point, x = 0. The line intercepts the y-axis at y = -4. Thus,

y-intercept = -4

✔️Slope can be calculated using two points, (0, -4) and (6, 0).

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-4)}{6 - 0} = \frac{4}{6} = \frac{2}{3} \)

Slope: m = ⅔

✔️f(3) means, what is the value of y when x = 3.

From the graph, when x = 3, y = -2.

Therefore,

f(3) = -2

A ratio equivalent to 12:9 is 4:3.

From the given choices, the correct option is B.

A ratio is a mathematical relationship that demonstrates how frequently one number contains or is contained inside another. Two numbers are compared using it.

Given:

A ratio,

12:9.

To find the equivalent ratio of the given ratio:

Simplifying the given ratio,

12:9,

= 12/9

Factors of 12 are 1, 2, 3, 4, 6, and 12.

Factors of 9 are 1, 3, and 9.

The common factors of 12 and 9 are 1 and 3.

So, the equivalent ratios are;

12/9 = 4/3.

Therefore, the equivalent ratio is 4:3.

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The complete question:

Select all ratios equivalent to

12:9

A. 12: 7

B. 4:3

C. 12:11

D: 12: 4

Answer:

378

Step-by-step explanation:

2,653 divided by 7

Answer:

1:3

Step-by-step explanation:

4:12 = 1:3

Answer:

1 : 3

Step-by-step explanation:

4 squares : 12 triangles

4 : 12

1 : 3

Answer:

i still se question marks

Step-by-step explanation:

Answer:

\(n \geq 42\)

Step-by-step explanation:

Data provided

P = 0.6

The calculation of sample size is shown below:-

Here the sampling distribution of proportion will be approximately normal, then follow the rule which is here below:-

\(np\geq 10\ and\ np (1 - p)\geq 10\)

Now we will consider condition 2

\(np(1 - p)\geq \ 10\)

\(n(0.6) (1 - 0.6) \geq \ 10\)

\(n(0.6) (0.4) \geq\ 10\)

\(n\geq \frac{10}{0.24}\)

\(n \geq 41.66667\)

or

\(n \geq 42\)

Therefore for computing the required sample size we simply solve the above equation.

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

The correct option is (d) i.e. The area of the given parallelogram will be 36 ft²

What is a Parallelogram ?

A quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram has equal-sized opposite sides and opposite angles. Additionally, the interior angles on the same side of the transversal are additional. 360 degrees is the total of all interior angles.

The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of a parallelogram determine its area, respectively. The length of each of a parallelogram's four sides determines its perimeter.

Given : base of parallelogram = 4+2= 6 ft

            height of the parallelogram = 6ft

We know that, area of a parallelogram = base × height

So, Area of the given parallelogram = 6 × 6

                                                           = 36 ft²

Hence, The correct option is (d).

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Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer:

6/5

Step-by-step explanation:

rise/run