A real estate broker who is trying to sell a piece of land to a restaurant amer assures him that during the summer months, on the average, 3600 vehicles pass by the property each day. Making his own investigation, the wner of the restaurant obtains a mean of 3453 vehicles and a standard deviation of 428 vehicles over a 32 day period. Test the validity of the real estate broker's claim using a 5% level of significance.

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Professor Rodgers can create 165 different combinations of three selected students from a class of 11 students.

Given that Professor Rodgers needs one small group of students from his class to participate in a focus group and there are 11 students in the class. We need to find out how many different combinations of three selected students can Professor Rodgers create.

We can solve this question by applying the combination formula.

\(nC_r\) = n! / r!(n - r)!

where n is the total number of students in the class, and r is the number of students selected for the group.

So, the number of combinations of 3 students selected from a group of 11 students can be given as follows:

\(nC_3\) = \(11C_3\) = 11! / (3!(11 - 3)!) = (11 x 10 x 9) / (3 x 2 x 1) = 165

Therefore, Professor Rodgers can create 165 different combinations of three selected students from a class of 11 students.

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switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

We can solve this by means of the change of base formula:

By replacing x for y, 3 for a, and 27.3 for x into the above formula, we get:

Then, x = 3.0101

The required cubic polynomial is

f(x) = \(-2x^3-2x^2-28x+48\)

What is a polynomial?

An algebraic expression of the form \(a_0 + a_1x+ .... + a_nx^n\) (\(a_0 \neq 0\)) is called a polynomial of degree n.

The zeroes of the cubic polynomial are -4, 2, 3

Let the cubic polynomial is

f(x) = a(x - (-4))(x - 2)(x - 3)

f(x) = a(x + 4)(x - 2)(x - 3)

If x = -5, f(x) = 112

112 = a(-5 + 4) (-5 - 2)(-5 - 3)

112 = -56a

a = \(-\frac{112}{56}\)

a = -2

f(x) = -2(x+ 4)(x - 2)(x - 3)

\(f(x) = -2(x+ 4)(x^2 -3x -2x +6)\\f(x) = -2(x + 4)(x^2 - 5x + 6)\\f(x) = -2(x^3 - 5x^2+4x^2+6x - 20x+24)\\f(x) = -2(x^3 - x^2 - 14x +24)\\f(x) = -2x^3 -2x^2 - 28x + 48\)

(x +4)(x - 2)(x - 3)

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Answer: 8

Step-by-step explanation:

Answer:

you think about it. if you dont do the work yourself u wont ever learn.

Step-by-step explanation:

6x10^6=6,000,000

2.4x10^8=240,000,000

Hi! Your question seems to have a few typos, but I'll answer based on what I understand.

True/False: If a sequence {an} (n = 1 to infinity) converges, then the sequence {|an|} (n = 1 to infinity) also converges.

Answer: True

Explanation: If a sequence {an} converges, it means that it approaches a limit as n approaches infinity. The sequence {|an|} represents the absolute values of the terms in {an}. If {an} converges, then the sequence of absolute values {|an|} will also converge, as it is bounded by the same limit.

True.

If the sequence {an} converges, then it means that the limit of {an} as n approaches infinity exists and is finite. Let's call this limit L.

Then, we know that for any ε > 0, there exists an N such that for all n ≥ N, |an - L| < ε.

Now, consider the sequence {ln} = {|an|}. We want to show that this sequence also converges.

For any ε > 0, we can choose the same N as above. Then, for all n ≥ N, we have:

|ln - |L|| = ||an| - |L|| ≤ |an - L| < ε

So, we have shown that for any ε > 0, there exists an N such that for all n ≥ N, |ln - |L|| < ε. This means that the limit of {ln} as n approaches infinity exists and is finite, and therefore the sequence {ln} converges.

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Answer:

Step-by-step explanation:

Answer:

First Position: √22

Second Position: √19

Third Position: √21

Fourth Position: √18

Answer:

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Answer:

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Answer:

King Leopold became the monarch of Belgium in 1865

Answer:

x=-4

Step-by-step explanation:

Just had it on a test and got it write

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

Answer:x=(45/31)*1426=$2070. ANSWER

20% of that is $414

1/9 of that is $230

They add to $644

What is left is $1426.

Step-by-step explanation:

Answer:1428

Step-by-step explanation:

x−1128x

=867

(1−1128)x

=867

Factor out x.

1728x

=867

Simplify.

x

=1428

Solve for x.

Answer:

(x + 1)² + (y - 6)² = 50

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)

r = \(\sqrt{(-6+1)^2+(1-6)^2}\)

  = \(\sqrt{(-5)^2+(-5)^2}\)

  = \(\sqrt{25+25}\)

  = \(\sqrt{50}\)

(h, k ) = (- 1, 6 ), then

(x - (- 1))² + (y - 6)² = (\(\sqrt{50}\) )² , that is

(x + 1)² + (y - 6)² = 50 ← equation of circle

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

Step-by-step explanation:

Find the distance between A(-7, 1) and C(1, 1), since the y-coordinates are same, the distance is the difference of x- coordinates:

AC and BD are diagonals both are same

\(\\ \sf\longmapsto AC=\sqrt{1+8)^2+(1-1)^2}\)

\(\\ \sf\longmapsto AC=\sqrt{8^2+0^2}\)

\(\\ \sf\longmapsto AC=\sqrt{64}\)

\(\\ \sf\longmapsto AC={8}units\)

The area of the billboard is \(1,632,400 cm^{2}\), Option (d) is correct.

Since the linear scale factor f=20, then the billboard area:

A = \(77.53\)×\(20^{2}\)

= \(1,632,400 cm^{2}\)

Linear scale Factor:

The size of the enlargement/reduction is represented by the scale factor. For example, a scale factor of 2 means that the new shape is twice the original shape. A scale factor of 3 means that the new shape is three times the size of the original shape.

Therefore, the area of the billboard is \(1,632,400 cm^{2}\), and Option (d) is correct.

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Answer:

45%

Step-by-step explanation:

You would add 11 and 9 together to find the mix number, which would be 20. Then, you see that the crackers is 9. So, you would do 9 divided by 20 (to find the percentage). 9 divided by 20 is 0.45

0.45 as a percent is 45%.

Answer:

A and D

Step-by-step explanation:

The two triangles that are congruent by ASA is discussed below.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. "Congruent" refers to things that are precisely the same size and shape.

Angle-Side-Angle refers to the ASA Congruence rule.

According to this rule, two triangles are said to be congruent if any two of their respective angles and the side that is included between them are equal to the corresponding angles and the included side of the other triangle.

For example, there are ABC and DEF in which ∠ B = ∠ E, ∠ C = ∠ F, and BC = EF

Then, the triangle that Δ ABC ≅ Δ DEF by ASA congruence rule.

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Answer:

\(\bold{y=1.5\times 2^x+4}\)

Step-by-step explanation:

Given:

Exponential function with common ratio 2.

Horizontal asymptote at y = 4

Passes through point (2, 10)

To find:

Equation of the exponential function ?

Solution:

Equation for an exponential function may be given as:

\(y=ab^x+c\)

Where b is the common ratio and

c is the y value of horizontal asymptote.

\((x, y)\) are the points on the function.

We are given that:

b = 2

c = 4

Let us put all the given values and find equation.

\(y=a\times 2^x+4\)

Now, let us put \(x = 2, y = 10\) to find the value of a.

\(10=a\times 2^2+4\\\Rightarrow a\times 2^2=10-4\\\Rightarrow a\times 4=6\\\Rightarrow a =1.5\)

\(\therefore\) the equation of exponential function is:

\(\bold{y=1.5\times 2^x+4}\)

Answer:

1. \(\angle 5\) and \(\angle 13\) are Corresponding Angles

2. \(\angle 4\) and \(\angle 9\) are Alternate Interior Angles

3. \(\angle 5\) and \(\angle 16\) are Alternate Exterior Angles

4. \(\angle 3\) and \(\angle 9\) are Consecutive Interior Angles

Step-by-step explanation:

Alternate Interior Angles - When a pair of angles are in the interior in the opposite sides of the transversal.

Alternate Exterior Angles -When a pair of angles are in the outside in opposite sides of the transversal.

Corresponding Angles - When a pair of angles are in the same side of one of two sides by a cross-section.

Consecutive Interior Angles - When a pair of angles on the side are same but inside the two lines.

Answer:

\(Solution,\\Radius(r) = 5cm\\Area of circle = \pi r^2 = \pi (5)^2 = 25\pi =78.54cm^2\)

Answer:

y=9 - division property of equality

6y=36+2y - squaring property of equality

4y=36 - subtraction property of equality

Step-by-step explanation:

Answer:

y = 9 > division property of equality

6y = 36 + 2y > squaring property of equality

4y = 36 > subtraction property of equality

Step-by-step explanation:

edg 2021

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Rounded to the nearest whole dollar, the administrative fee for the year is $433.

To calculate the administrative fee for your variable annuity, you can use the following formula:
Administrative fee = (Average account value) × (Annual rate of administrative fees)
In this case, the average account value is $228,000 and the annual rate of administrative fees is 0.19 percent (0.0019 as a decimal).
Administrative fee = ($228,000) × (0.0019)
Administrative fee = $433.20

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Answer:

s=41/2 or 8.2

Step-by-step explanation: