Write an equation of the line shown. Then use the equation to find the value of x when y=150

Answer: bad credit

Step-by-step explanation: took test

The correct option is (d) Angled. Among all (constant size, variable size, face, angled) The Angled is NOT a fillet type in SOLIDWORKS.

SOLIDWORKS has 3 types of fillets: constant size, variable size, and face. Constant size fillets have a constant radius applied to all edges of the selected face or faces. Variable size fillets allow the user to customize the radius of each edge. Face fillets are used to create a smooth transition between two faces.

All three types of fillets create a smooth transition between the edges and faces of a 3D model. Angled is not a type of fillet in SOLIDWORKS, but rather it is a type of chamfer, which is a type of edge treatment that creates an angled edge rather than a smooth transition. Chamfers can be used to create sharp corners or to break up the edges of a 3D model.

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The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:

3X3 <= 4X2

This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.

For example, if there are 10 2 bedroom rentals (X2), the constraint would be:

3X3 <= 4(10)
3X3 <= 40

This means that the number of 3 bedroom rentals (X3) cannot exceed 40.

The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.

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ANSWER:the answer is going to be  2p+3=7;p=2 ik this because i just did this question and got it right. yw

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

2 pounds of bananas were bought.

The equation that represents the situation is 2p + 3 = 7.

Option D is our answer.

2p + 3 = 7 ; p - 2 pounds.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x – 5 = 15 is an equation.

We have,

Let banana be denoted by p.

Three more than twice as many pounds of apples as bananas.

This can be written as:

Apples = 2p + 3 ____(1)

Apples = 7 pounds _____(2)

Now,

From (1) and (2) we get,

7 = 2p + 3

The number of pounds of apples:

7 = 2p + 3

Subtract 3 on both sides.

7 - 3 = 2p + 3 - 3

4 = 2p

Divide both sides by 2.

4/2 = 2p/2

p = 2

Thus,

2 pounds of bananas were bought.

i.e p = 2.

The equation that represents the situation is 2p + 3 = 7.

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Answer:

36 cm square will be the correct answer

If 6 different colored tiles are available to make a pattern in a row of floor tile. The number of  possible different 4-color patterns that are possible if no colors may be repeated is: 360.

Given:

Different colored tiles=6

Different color patterns=4

There are 6 different colored tiles if one colored tiles is pick there will be 5 colored tiles, if two colored tiles is pick there will be 4 colored tiles, if  three colored tiles is pick there will be only 3 colored tiles left.

Hence,

Possible different color patterns=(6×5×4×3)

Possible different color patterns=360 ways

Therefore If 6 different colored tiles are available to make a pattern in a row of floor tile. The number of  possible different 4-color patterns that are possible if no colors may be repeated is: 360.

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Let:

From that equation:

If two lines are perpendicular, then:

Given an arbitraty point:

Using the point slope equation:

Answer:

C=25t+100

Step-by-step explanation:

Answer:

0.33333333333

Step-by-step explanation:

(0.83333333333)-(0.5)=0.33333333333

Answer:

the answer is 2/6 or 1/3 if needed to be simplified

when subtraction fractions, if they have the same denominator, you only have to subtract the numerators

Step-by-step explanation:

The solid is a rectangular prism with a triangular cut-out.

The volume of the solid is given by the iterated integral 1 0 1− x 0 3 − 3z dy dz dx 0. The integral is taken over a three-dimensional rectangular region with x-coordinates between 0 and 1-x, y-coordinates between 0 and 3, and z-coordinates between 0 and 3-3z.

This describes a rectangular prism with length 1-x, width 3 and height 3-3z. However, the triangular cut-out is defined by the equation of the plane z = y/3. It's a triangular region in the zy-plane, with a height of 3 and a base of 3x. This triangular cut-out is "slicing" the rectangular prism from the corner (x,0,0) to the corner (x,3,3x/3) in the xyz-plane.

The final shape is a rectangular prism with a triangular cut out from the corner, with a base on the xy-plane and the vertex on the z-axis. The height, width and length of the rectangular prism are 3, 3 and 1-x respectively.

This type of iterated integral is useful to calculate the volume of a solid with complex boundaries, it's also easy to visualize the shape of the solid by looking at the limits of integration.

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The daily output achieved by maximum cycle time cannot be calculated by the given information. But, the daily output achieved by minimum cycle time is 1688 units per day (approx).

Given that the line will operate for 450 minutes per day.

The maximum cycle time can be calculated using the formula:

Maximum cycle time = Operating time / Minimum number of cycles

Maximum cycle time = 450 / 1

= 450 minutes

The minimum cycle time can be calculated using the formula:

Minimum cycle time = Operating time / Maximum number of cycles

So,

Minimum cycle time = 450 / (450/20)

= 20 minutes

a. The maximum cycle time is 450 minutes, and the minimum cycle time is 20 minutes.

Maximum cycle time = 450 minutes

Minimum cycle time = 20 minutes

b. The daily output achieved by maximum cycle time can be calculated using the formula:

Daily output = (Operating time * Efficiency) / Cycle time

We know that the operating time is 450 minutes.

Efficiency is not given.

Hence, the daily output cannot be calculated by the given information.The daily output achieved by the minimum cycle time can be calculated using the formula:

Daily output = (Operating time * Efficiency) / Cycle time

Daily output achieved by minimum cycle time = (450 * 75%) / 20

Daily output achieved by minimum cycle time = 1688 units per day (approx)

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Answer:

V = 56.5 mi^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 3)^2 (2)

V = 18 pi

Letting p = 3.14

V = 56.52 mi^3

Rounding to the nearest tenth

V = 56.5 mi^3

The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.

To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.

For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.

For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.

To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:

Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.

Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.

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Answer:

the  answer  is  1,008  in  all

Step-by-step explanation:

Answer:

the answer is x=2 and y=2

Step-by-step explanation:

-3y=16+5x

-y=(16+5x)3

The value of x is 30 finding by using arithmetic operations.

Further, for the x-day period,

Pizza days

\(= x days \times (3 days out of total of 5 days) \\= x days \times \frac{3}{5} \\= \frac{3x}{5} days\)

similarly

Sandwich days = x days (2 days out of total of 5 days) \(=\frac{2x}{5}\) days

If total pizza days = total sandwich days, then

\(18+ \frac{3x}{5} = 24+ \frac{2x}{5}\)

subtract \(\frac{2x}{5}\) from each side

\(18+ \frac{3x}{5}- \frac{2x}{5} = 24\\ \Rightarrow 18 + \frac{x}{5} = 24\)

subtract 18 from each side,

\(18-18 + \frac{x}{5} = 24-18 \\\Rightarrow \frac{x}{5} = 24-18 = 6 \\\Rightarrow x=5 \times 6=30\)

Check:

Pizza days = 18+30\(\times \frac{3}{5}\) = 36 days

Sandwich days = 24 + 30\(\times \frac{2}{5}\) = 24+12 = 36 days

The value of x Over 42 days, Dave had pizza 3 times for every 4 times he had a sandwich." 3=number of pizza days in a week.

so over 42 days, there are 6 weeks, so there are 6*3=18 pizza days.

If we calculate differently,

put Pizza days (out of 42) = (42/7)[# of weeks] * 3 [ pizza days / week]

which is the same as 42 days * (3/7) number of pizza days per 7 days.

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Answer:

91

Step-by-step explanation:

PEMDAS rules apply...so addition then subtraction

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

In a math equation, the comparable symbol (=) is used to denote equality between two propositions. It is demonstrated that by using mathematical formulas, which have been expressions of reality, different numerical factors can be compared. The equal sign, for instance, splits the integer 12 or the equation y + 6 = 12 to 2 different halves. It is possible to determine how many characters each side of such a symbol has. It's common for symbols to have conflicting meanings.

Here,

Given :

=> g -3 = 9

To find the value of g :

=> g = 9 + 3

=> g = 12

Thus , value of g is 12.

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

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Region 1: A′∩B′ We are told that n(A′∪B′) = 46, which represents the total number of elements in the union of the complements of sets A and B. Since n(A∩B) = 18, the number of elements in the intersection of sets A and B, we can calculate the number of elements in Region 1:

n(Region 1) = n(A′∪B′) - n(A∩B) = 46 - 18 = 28.

Region 2: A∩B

We are not given the specific number of elements in Region 2. Without additional information, we cannot determine its size.

Region 3: A∩B′

To find the number of elements in Region 3, we can use the principle of inclusion-exclusion:

n(Region 3) = n(A) - n(A∩B) = n(A) - 18.

Region 4: A′∩B

Similarly, we can find the number of elements in Region 4 using the principle of inclusion-exclusion:

n(Region 4) = n(B) - n(A∩B) = n(B) - 18.

Unfortunately, we are not provided with the values of n(A) or n(B), so we cannot determine the specific number of elements in Regions 3 and 4.

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Answer:

2, 0

Step-by-step explanation:

The x intercept is always where the line drawn through the graph meets the X Axis on the grid.

Answer:

(2, 0)

Step-by-step explanation:

Answer:

6 miles bicycleriding per day

Step-by-step explanation:

5x+18=48

5x=48-18

5x=30

x=30/5

x=6

Answer:

y = -3

Step-by-step explanation:

Left and down are there for you to subtract and right and up are there for you to add.

Since you would need to get the y-coorindate, you would need to subtract 8 from 5 to get to -3.

Answer:

-3

Step-by-step explanation:

Hope it helps.

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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Answer:

2x+107/16

Step-by-step explanation:

Answer:

I think the answer will be 2x + 107 / 16

Yes, 8.546 = 8546/1000.

Remember that a rational number is the ratio between two integers. So any integer, like 8, is also a rational number because it's the ratio between the two integers 8 and 1:

8 = 8/1

So we have

8.546 = 8 + 0.546

= 8/1 + 546/1000

= 8000/1000 + 546/1000

= 8546/1000

Answer:

Step-by-step explanation:

a. The probability that less than 77 people will test positive is:

We can approximate the number of people who test positive as a binomial distribution with n = 2500 and p = 0.03 (since the test gives an incorrect result 3% of the time). To find the probability that less than 77 people will test positive, we can use the normal approximation to the binomial distribution:

mean = np = 2500 x 0.03 = 75

variance = np(1-p) = 2500 x 0.03 x 0.97 = 72.75

standard deviation = sqrt(variance) = sqrt(72.75) = 8.5317

Then, we can standardize the distribution and use a standard normal table or calculator to find the probability:

z = (77 - 75) / 8.5317 = 0.2341

P (Z < 0.2341) = 0.5913

Therefore, the probability that less than 77 people will test positive is approximately 0.5913.

b. The probability that more than 80 people will test positive is:

Using the same normal approximation as in part (a), we have:

mean = np = 2500 x 0.03 = 75

variance = np(1-p) = 2500 x 0.03 x 0.97 = 72.75

standard deviation = sqrt(variance) = sqrt (72.75) = 8.5317

Then, we can standardize the distribution and use a standard normal table or calculator to find the probability:

z = (80 - 75) / 8.5317 = 0.5857

P(Z > 0.5857) = 0.2777

Therefore, the probability that more than 80 people will test positive is approximately 0.2777.

1A. We can use the standard normal distribution to solve this problem. Let X be the head diameter of a potential client.

a. To find the minimum head diameter that will fit 3.9% of the clients, we need to find the z-score that corresponds to the 3.9th percentile of the standard normal distribution:

P (X < x) = 0.039

z = invNorm(0.039) = -1.769

Then, we can use the formula z = (x - mean) / standard deviation and solve for x:

-1.769 = (x - 6.5) / 1.1

x = 4.864

Therefore, the minimum head diameter that will fit 96.1% of the clients is approximately 4.864 inches.

b. To find the maximum head diameter that will fit 96.1% of the clients, we need to find the z-score that corresponds to the 96.1st percentile of the standard normal distribution (or the 3.9th percentile of the standard normal distribution with a negative sign):

P (X > x) = 0.039

z = invNorm(0.961) = 1.769

Then, we can use the formula z = (x - mean) / standard deviation and solve for x:

1.769 = (x - 6.5) / 1.1

x = 8.136

Therefore, the maximum head diameter that will fit 96.1% of the clients is approximately 8.136 inches.

1B. We can use the central limit theorem to approximate the distribution of sample means. If X is the mean height of a random sample of 12 adults, then X has a normal distribution with mean μ = 67 and standard deviation σ/√n = 3.5/√12 ≈ 1.01.

We want to find P (X < 66.7).

Converting to z-score:

z = (66.7 - 67) / (3.5 / sqrt (12)) = -0.859

Using standard normal table or calculator, we find that P(Z < -0.859) = 0.1954

Therefore, the probability that a random sample of 12 adults have a mean height that is less than 66.7 inches is approximately 0.1954.

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(a) When the magnitude of the resultant is the sum of the magnitudes of the two forces, the angle between the two forces is 0 degrees or they are acting in the same direction. This is because when two forces act in the same direction, their magnitudes add up to give the magnitude of the resultant force.

(b) When the resultant of the forces is 0, the angle between the forces is 180 degrees or they are acting in opposite directions. This is because when two forces act in opposite directions, their magnitudes cancel each other out and the resultant force is 0.

(c) The magnitude of the resultant can never be greater than the sum of the magnitudes of the two forces. This is because the maximum magnitude of the resultant force is when the two forces are acting in the same direction, which results in the sum of their magnitudes.

When the angle between the forces is greater than 0 degrees, the magnitude of the resultant force will be less than the sum of the magnitudes of the two forces.

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Answer:

c

Step-by-step explanation:

Answer:

\(y= -11/2 x -52\)

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

\(\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end\)

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

\(\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end\)

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

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