A rectangle has perimeter P, length 1, and width w. Which of the following represents lin terms of Pand w?
O I = P-w
O I = (2P-W)/2
O I = (P-2w)/2
O I = 2P-2w

Answer:

1. isn't

2. 0.5 or 1/2

3. 9x0.5=4.5 or 9/2

You can do this... it's easy stuff. You got it!

Answer:

D, 30%

Step-by-step explanation:

you move the decimal point twice to the right

Answer:

D. 30%

Step-by-step explanation:

This is the answer because:

1) When you convert decimals to percents, you have to remember the two main decimal places:

0.00 = The hundredths place

0.00 = The tenths place

2) Whenever there is a decimal that is in the hundredths place, it will equal a one digit percent. For example, 0.07 = 7%.

3) Whenever there is a decimal that is in the tentsh place, it will equal a two digit number. For example, 0.3 = 30%.

4) Another way to solve it is to convert the decimal to a percentage by multiplying the decimal by  100 .

Therefore, the answer is 30%.

Hope this helps! :D

Therefore, the population density of coffee shops per person in the uptown area is 0.00427, which is less than 0.01. This means that the Mom & Pop Coffee Shop can open a new location in the uptown area.

The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area. Square units like cm2 and m2 are used to measure area.

To find the population density of coffee shops per person in the uptown area, we need to first calculate the total population of the uptown area and then divide the number of coffee shops by the total population.

Total population of uptown area = 30 blocks * 125 people per block = 3750 people

Number of coffee shops in uptown area = 16

Population density of coffee shops per person in uptown area = Number of coffee shops / Total population

= 16 / 3750

= 0.00427

Therefore, the population density of coffee shops per person in the uptown area is 0.00427, which is less than 0.01. This means that the Mom & Pop Coffee Shop can open a new location in the uptown area.

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The population density of coffee shops per person for the uptown area is 0.00427.

What is population density?

Population density is the measurement of the number of people living in a certain area per unit of measurement, typically per square mile or per square kilometer.

To find the population density of coffee shops per person for the uptown area, we need to first calculate the maximum number of coffee shops that can be supported in the area based on the given ratio.

For downtown area:

Maximum number of coffee shops = 0.01 * Population

Population = 225 * 20 = 4500

Maximum number of coffee shops = 0.01 * 4500 = 45

Since there are already 48 coffee shops in the downtown area, Mom & Pop Coffee Shop cannot open a new location there.

For uptown area:

Maximum number of coffee shops = 0.01 * Population

Population = 125 * 30 = 3750

Maximum number of coffee shops = 0.01 * 3750 = 37.5

Since there are only 16 coffee shops in the uptown area, Mom & Pop Coffee Shop can open a new location there.

Now we can calculate the population density of coffee shops per person for the uptown area:

Population density of coffee shops per person = Number of coffee shops / Population

Population = 125 * 30 = 3750

Number of coffee shops = 16

Population density of coffee shops per person = 16 / 3750 = 0.00427

Therefore, the population density of coffee shops per person for the uptown area is 0.00427.

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Answer:

4, yes through the middle    5, yes through the middle 6, yes through the middle  all of them reflect from the center

Step-by-step explanation:

Answer:

C. P = 30

Step-by-step explanation:

Parallelogram opposite (or parallel) sides are equal,

so:

2x = x + 2

5y - 9 = 2y + 3

For x:

2x = x + 2

2x - x = 2

x = 2

For y:

5y - 9 = 2y + 3

5y - 2y = 3 + 9

3y = 12

y = 4

the smallest sides are equal 2x and x + 2 => 2 * 2 = 4

the biggest sides are equal 5y - 9 and 2y + 3 => 2 * 4 + 3 = 11

P = 2 * (a + b)

P = 2 * (4 + 11)

P = 2 * 15

P = 30

This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the

pyramid to the volume of the prism?

1

A} volume of Pyramid

volume of priam

B} volume of pyramid

volume of priuam

C} volume of pyramid

volume of priim

D} Volume of pyramid

volume of

prime

____________________________________________

volume of the prism

Answer:

158 natural numbers

158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721. Step-by-step explanation: Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself.

Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!

Step-by-step explanation:

Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself. That is 158 natural numbers. Whole numbers are numbers without a fraction or decimal, they are integers. So all numbers from 24 to 721 would be included, as well as 24 and 721 itself. That is 699 whole numbers from 24 to 721. Hope this helps.

Answer: #x^3

Step-by-step explanation:

        x^3

note: An algebraic expression doesn't have an equal sign (=)

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(a)The equivalent expression is  log5 k + log5 2 = log5 (2k)

To combine the two logarithmic terms, we use the logarithmic identity loga (M) + loga (N) = loga (MN). In this case, we apply the identity with a = 5, M = k, and N = 2 to get log5 (k) + log5 (2) = log5 (2k).

(b)The equivalent expression is log5 (k^2)

To simplify 2·log5 (k), we use the logarithmic identity n·loga (M) = loga (M^n). In this case, we apply the identity with a = 5, n = 2, and M = k to get 2·log5 (k) = log5 (k^2).

(c) The equivalent expression is log5 (k/7)

To simplify log5 (k) - log5 (7), we use the logarithmic identity loga (M) - loga (N) = loga (M/N). In this case, we apply the identity with a = 5, M = k, and N = 7 to get log5 (k) - log5 (7) = log5 (k/7).

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\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

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

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

Answer:

27/8

Step-by-step explanation:

Answer:

27/8

Step-by-step explanation:

6/2+3/8

=(6×4+3)/8

=(24+3)/8

=27/8

Answer:

bums bums pr**k book

pause

The angles and side lengths for both triangles are;

3) A = 36°; B = 54°; C = 90°; a = 7; b = 9.63; c = 4.11

4) A = 64°; B = 26°; C = 90°; a = 1.798; b = 0.88; c = 2

3) From the diagram, we are already given;

B = 54°

C = 90°

a = 7

We know that sum of angles in a triangle is 180° and so;

A = 180 - (90 + 54)

A = 36°

By trigonometric ratios;

b/7 = tan 54

b = 7 * tan 54

b = 7 * 1.376

b = 9.63

7/c = cos 54

c = 7 * cos 54

c = 4.11

4) From the diagram, we are already given;

B = 26°

C = 90°

c = 2

We know that sum of angles in a triangle is 180° and so;

A = 180 - (90 + 26)

A = 64°

By trigonometric ratios;

b/2 = sin 26

b = 2 * sin 26

b = 2 * 0.4384

b = 0.88

a/2 = cos 26

a = 2 * cos 26

a = 1.798

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Answer:

Step-by-step explanation:

So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540

Then it is algebra

540=91+125+92+(3x-5)+(4x-8)

Simplify what you can and collect like terms

540=308+3x-5+4x-8

540=308+7x-13

Then move everything over to the one side so that the variable is isolated

540-308+13=7x

245=7x

242/7=x

35=x

Answer:b

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Cross multiply.

7 x 4 = 28.

X x 2 = 2x

2x = 28

x = 14

The addition equation of the situation is 4.63 + (-4.63) = 0

From the question, the amount received as change is:

Change = 4.63

He dropped the change in the donation box.

So, we have:

Donation = Change

This gives

Donation = 4.63

The addition expression of the situation is then represented as:

Balance = Change + (-Donation)

Substitute the known values in the above equation

Balance = 4.63 + (-4.63)

Evaluate the expression

Balance = 0

So, we have:

4.63 + (-4.63) = 0

Hence, the addition equation of the situation is 4.63 + (-4.63) = 0

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u need more explanation for me to tell u the answer because I don't get it so please add more details

Answer:

  -8748

Step-by-step explanation:

You want the 8th term of the geometric sequence that begins 4, -12, 36, ....

A geometric sequence is characterized by a common ratio r. When the first term is a1, the n-th term is ...

  an = a1×r^(n-1)

Here, the first term is 4, and the common ratio is -12/4 = -3. That means the n-th term is ...

  an = 4×(-3)^(n-1)

and the 8th term is ...

  a8 = 4×(-3)^(7-1) = -8748

The 8th term is -8748.

__

Additional comment

The attachment shows the 8th term and the first 8 terms of the sequence.

<95141404393>

the 8th term of the geometric sequence  4 , − 12 , 36 , . . . 4,−12,36,... is -4374 by using formula of a:an = a1 * rn-1Wherean = nth terma1 = first term r = common ratio

Given the first three terms of a geometric sequence: 4, -12, 36, ...To find the 8th term of the geometric sequence, we need to first find the common ratio of the sequence which can be found using the formula:Common ratio, r = Term 2 / Term 1= -12 / 4= -3The nth term of a geometric sequence is given by the formula:an = a1 * rn-1Wherean = nth terma1 = first term r = common ratio To find the 8th term, we use the formula:a8 = a1 * r8-1= 4 * (-3)7= -4374Therefore, the 8th term of the geometric sequence is -4374.

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Answer:

Confidence interval of the population mean

Step-by-step explanation:

The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.

The statement above gives the confidence interval at α = 95%

Answer:

$61.75

Step-by-step explanation:

Hello,

If Melinda earns $9.50 per hour and she worked 6.5 hours, then her earnings for that day was $61.75.

This is simply the product of $9.50 * 6.5 = $61.75.

This assumption of earnings doesn't include tax reductions, unless her hourly pay includes those.

Cheers.

The minimal value of s = x^2 y^2 is 5/3, and it is achieved when:
x = ±(3/5)^(1/2)
y = ±(2/5)^(1/2)

To solve this problem, we can use the method of Lagrange multipliers. Let's define the Lagrangian function L(x,y,λ) as follows:
L(x,y,λ) = x^2 y^2 + λ(3x + 4y - 25)

where λ is the Lagrange multiplier.

To find the minimal value of s = x^2 y^2, we need to solve the following system of equations:
∂L/∂x = 2xy^2 + 3λ = 0
∂L/∂y = 2x^2y + 4λ = 0
∂L/∂λ = 3x + 4y - 25 = 0

Solving the first two equations for x and y, we get:
x = -3λ/2y^2
y = -2λ/4x^2

Substituting these expressions into the third equation, we get:
3(-3λ/2y^2) + 4(-2λ/4x^2) - 25 = 0

Simplifying this equation, we get:
-9λ/y^2 - 2λ/x^2 - 25 = 0

Multiplying both sides by x^2 y^2, we get:
-9λx^2 - 2λy^2 + 25x^2 y^2 = 0

Dividing both sides by λ, we get:
-9x^2/y^2 - 2y^2/x^2 + 25x^2 y^2/λ^2 = 0

This equation can be simplified to:
-9x^4 - 2y^4 + 25s/λ^2 = 0

where s = x^2 y^2.

We can now solve for λ in terms of s:
λ^2 = 25s/(9x^4 + 2y^4)

Substituting this expression for λ into the equations for x and y, we get:
x = ±(3s/5)^(1/4)
y = ±(2s/5)^(1/4)

Note that we have four possible solutions, corresponding to the four possible combinations of signs for x and y.

To find the minimal value of s, we need to evaluate s for each of these solutions and choose the smallest one. We get:

s = x^2 y^2 = (3s/5)^(1/2) (2s/5)^(1/2) = (6s/25)^(1/2)

This equation can be simplified to:
s = 5/3

Therefore, the minimal value of s = x^2 y^2 is 5/3, and it is achieved when:
x = ±(3/5)^(1/2)
y = ±(2/5)^(1/2)

Note that these values satisfy the constraint equation 3x + 4y - 25 = 0.

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Answer:

5 ten thousands

Step-by-step explanation:

Ten thousands: 10,000

So...

50,000/10,000=5

5 ten thousands

The stopping distance of D40 is 2.56 times the stopping distance of D25.

Given that are two initial velocities: 40 mph and 25 mph, with which the car's stopping distance is D40 and D25.

The final velocity for both is 0 mph (as the car to a stops).

We need to compare the stopping distance D40 to the stopping distance D25.

Use the third equation of motion for both cases to get the comparison.

The equation is given by:

\(v^2 - u^2 = 2as.\)

Case 1)

\(0 - 40^2 = 2a(D40)\)

Case 2)

\(0 - 25^2 = 2a(D25)\)

Comparing the obtained expressions.

\(\frac{40^2}{25^2} = \frac{2a(D40)}{2a(D25)}\)

\(2.56 = \frac{D40}{D25}\)

\(2.565 \times D25 = D40\)

Hence the stopping distance of D40 is 2.56 times the stopping distance of D25.

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With a frame length of 1, the expectation is 5 seconds and the         standard deviation is approximately 3.464 seconds for the number of seconds between two consecutive connections.

(a) To determine the frame length Δ that gives a probability of 0.15 of an arrival during any given frame, we need to consider the Binomial counting process and its probability distribution.

In a Binomial distribution, the probability of success (an arrival) is given by p, and the probability of failure (no arrival) is given by q = 1 - p. In this case, p = 12 connections per minute.

We can use the cumulative distribution function (CDF) of the Binomial distribution to find the frame length Δ. The CDF gives the probability of having k or fewer arrivals in a given number of frames.

Using a binomial probability table or a calculator, we find that when p = 0.15, the corresponding value of k is 1. Therefore, the frame length Δ that gives a probability of 0.15 of an arrival during any given frame is 1 frame.

(b) With a frame length Δ of 1, we can compute the expectation (mean) and standard deviation for the number of seconds between two consecutive connections.

The average rate of connections is 12 per minute. To find the average time between two consecutive connections, we take the reciprocal of the rate: 1/12 minutes per connection.

To convert minutes to seconds, we multiply by 60: (1/12) * 60 = 5 seconds.

Therefore, the expectation (mean) for the number of seconds between two consecutive connections is 5 seconds.

The standard deviation can be calculated using the formula for the standard deviation of a Poisson process, which is the limit of the Binomial distribution as the number of trials becomes large. For a Poisson process, the standard deviation is equal to the square root of the average rate: √(12) ≈ 3.464 seconds.

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Step-by-step explanation:

(T-S)(2000), when T(x) and S(x) are functions, is equivalent to T(2000)-S(2000), which is 17-7=10

We know that T(x) is equal to everything else, and everything else is S(x)+G(x), so T(x)-S(x) = G(x), or dollars spent on general science

The required particular solution of the given differential equation is given by: y * e^(x(x + 1/2)) = [(2x/3 - 1/3) * e^(3x/2) - (x/2 - 1/2) * e^(x(x + 1/2)) + (x/3 + 1/9) * e^(-3x) + (4/9)e^(1/4)] * e^(-x(x + 1/2))

Given differential equation: (x + 1) + xy = (x + 1)²e^(-3x) And, the initial condition: y(0) = 4

Now, we can write the given differential equation as follows:xy + 1 = (x + 1)²e^(-3x) - (x + 1)dy/dx + y = (x + 1)²e^(-3x) - (x + 1)

Now, we will find the integrating factor of the above differential equation: μ(x) = e^(integral of P(x)dx)μ(x) = e^(integral of (x + 1)dx)μ(x) = e^(x²/2 + x)μ(x) = e^(x(x + 1/2))

Now, multiplying the integrating factor μ(x) to the above differential equation, we get: (xy + 1)e^(x(x + 1/2)) + [e^(x(x + 1/2))y]' = (x + 1)²e^(-3x) * e^(x(x + 1/2)) - (x + 1) * e^(x(x + 1/2))

Now, we can simplify the above equation as follows: [xye^(x(x + 1/2))] + e^(x(x + 1/2))y' = (x + 1) * e^(3x/2) - (x + 1) * e^(x(x + 1/2)) + (x + 1)² * e^(x(x + 1/2) - 3x)y * e^(x(x + 1/2)) = ∫[(x + 1) * e^(3x/2) - (x + 1) * e^(x(x + 1/2)) + (x + 1)² * e^(x(x + 1/2) - 3x)]dx

Now, we will solve the integral on the right-hand side of the above equation:

y * e^(x(x + 1/2)) = (2x/3 - 1/3) * e^(3x/2) - (x/2 - 1/2) * e^(x(x + 1/2)) + (x/3 + 1/9) * e^(-3x) + Cy

= [(2x/3 - 1/3) * e^(3x/2) - (x/2 - 1/2) * e^(x(x + 1/2)) + (x/3 + 1/9) * e^(-3x) + C] * e^(-x(x + 1/2))

Substituting x = 0 and y = 4 in the above equation, we get: 4

= [(2(0)/3 - 1/3) * e^(3(0)/2) - (0/2 - 1/2) * e^(0(0 + 1/2)) + (0/3 + 1/9) * e^(-3(0)) + C] * e^(-0(0 + 1/2))4

= [(2/3 - 1/3) - (1/2) + (1/9)] * e^(-1/4C

= (4/9)e^(1/4)

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The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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