do the values in this table represent a proportional relationship? x 2/4 6 8 y 1 2 3 4 yes, and the constant of proportionality is 12. yes, and the constant of proportionality is 2. no. i don't know.

Answer:

1, 20

2, 20

Step-by-step explanation:

Answer:

your correct answers are  

1, 20

2, 20

Step-by-step explanation:

Answer:

17.6 inches thick

Step-by-step explanation:

when multiplying by 4000 each zero increases the power by one

Answer:

4000 dollar bills 17.6 inches thick

Step-by-step explanation:

4.4 x 10^-3= 0.0044 inches

0.0044 x 4,000 = 17.6 inches thick

i hope this helps you! :)

have a great day :D

To factor quadratics with leading coefficients other than 1, you can follow these steps:

Check your factoring by expanding the factored form to see if it simplifies back to the original quadratic equation.

Remember that factoring quadratics with leading coefficients other than 1 may involve more complex algebraic techniques, and in some cases, the quadratic equation may not factor easily. In such cases, you can resort to using the quadratic formula to find the roots of the equation.

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As 30% of the pizza were made, we will have 500 pizzas that as extra cheese.

At Pizza Pi, the number of Pizzas that had extra cheese last week = 150

The percentage of Pizzas that had extra cheese last week = 30%

Now, let us assume that number of Pizzas made last week = X. Then, we will write the equation as:

30X/100 = 150

30X = (150 * 100)

30X = 15000

X = 15000/30

X = 500. Therefore, it can be deducted that 500 pizzas were made last week .

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Answer:

75 miles per hour

Step-by-step explanation:

In order to find the answer, you have to use the formula to calculate the speed:

s=d/t

s=speed

d=distance traveled= 900 miles

t=time elapsed= 12 hours

Now, you can replace the values in the formula:

s=900 miles/ 12 hours

s=75 miles per hour

According to this, the answer is that the average speed during the trip was 75 miles per hour.

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

17.6 ft

Step-by-step explanation:

tan 37 = 130/x

x = 130/tan 37 = 130/0.7536 = 172.5 feet

tan 40 = 130/y

y = 130/tan 40 = 130/0.8391 = 154.9

172.5 - 154.9 = 17.6 ft

Answer:

17.6 Ft

Step-by-step explanation:

Geometry B E2020!! :3

If a van is traveling down a road at a speed of 90 feet per second when it begins to slow down. the van decelerates at a constant rate of 18 feet per square second. The van travels 216 feet after 2 seconds.

To find the distance the van travels after 2 seconds, we can use the equation for distance: distance = initial velocity x time + (1/2) x acceleration x time². In this case, the initial velocity (v) of the van is given as 90 feet per second, the time (t) is 2 seconds, and the deceleration (a) is 18 feet per square second.

By substituting these values into the equation, we calculate the distance traveled by the van: distance = 90 x 2 + (1/2) x 18 x 2². First, we compute the term 90 x 2 which equals 180. Next, we evaluate the term (1/2) x 18 x 2². The value of 2² is 4, so the term simplifies to (1/2) x 18 x 4, which is equal to 36.

Adding the two terms together, we have 180 + 36, resulting in 216 feet. Therefore, the van travels a distance of 216 feet after 2 seconds. This calculation demonstrates how the given initial velocity, time, and deceleration are used to determine the distance traveled using the relevant formula.

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Answer:

We conclude that the rule for the table in terms of x and y is:

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

Finding the slope between (-2, -4) and (-1, -1)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)\)

\(m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}\)

\(m=3\)

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

The probability that the wait time for the fire department to get called to a house fire, given that it has already taken 16 hours, will be more than an additional 22 hours is approximately 0.376, rounded to three decimal places.

The probability that the wait time for a fire department to get called to a house fire, given that it has already taken 16 hours, will be more than an additional 22 hours can be calculated using the cumulative distribution function (CDF) of the exponential distribution.

Let X be the waiting time for the fire department to get called to a house fire. Then X follows an exponential distribution with mean 26 hours. The probability that X is greater than 38 (16 + 22) hours can be written as:

P(X > 38 | X > 16) = P(X > 22)

This is because the waiting time for the fire department has already taken 16 hours, so we are interested in the probability of waiting an additional 22 hours or more.

Using the exponential distribution's CDF, we get:

\(P(X > 22) = 1 - F(22) = 1 - e^{-22/26} = 0.376\)

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Answer:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

Step-by-step explanation:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

The true statement is:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.

Properties of Cone

As, from the properties of cone we can say that.

A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..

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The required solution for the inequality of the perimeter of the rectangle is x < 2.12.

Given that,
To write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 12.24.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
2(4 + x) < 12.24
4 + x < 6.12
x < 6.12 - 4
x < 2.12

Thus, the required solution for the inequality of the perimeter of the rectangle is x < 2.12.

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Answer:

50

Step-by-step explanation:

the 2 65 degree angles add up to 130. you need 180 for a triangle. The angle opposite x is 50 which means that x will also be 50

Answer:

7 and 4

Step-by-step explanation:

i think

Answer:

I think the answer is 255cm squared

Step-by-step explanation:

If you look at the shape it has 2 shapes. A rectangle and a triangle.

17-10 to get the height of the triangle = 7

22-12 to get the base of the triangle = 10

The area to find a triangle is 1/2 * b * h

= (7 *10) / 2

= 35

To find the rectangle =

22 * 10

= 220

To find the area of the whole thing =

35 (triangle) + 220 (rectangle) = 255cm squared

Answer:

255 cm^

Step-by-step explanation:

If you cut your shape into a triangle and rectangle...or a trapezoid and a rectangle, then add the areas together.

Area of a rectangle is just length × width.



Area of a triangle is:

A = 1/2bh

Area of a trapezoid is:

A = 1/2(b1 + b2)

see image to see two different ways to cut the whole shape into two pieces. Then we calculate the total by adding the areas of the parts.

see image.

The direction of vector D is perpendicular to vector A, and it makes an angle of 90 degrees with vector A.

We are given that:

vector A + vector B = vector C

vector A - vector B = vector D

To find the direction of vector C,

we can use the fact that the tangent of the angle between vector A and vector C is equal to the ratio of their magnitudes.

That is:

tan(theta) = |vector C| / |vector A|

where theta is the angle between vector A and vector C.

Similarly, to find the direction of vector D,

we can use the fact that the tangent of the angle between vector A and vector D is equal to the ratio of their magnitudes.

That is:

tan(phi) = |vector D| / |vector A|

where phi is the angle between vector A and vector D.

We want to find the angle between vector A and vector D, which is equal to the supplement of the angle between vector A and vector C.

That is:

theta + phi = 180 degrees

Rearranging, we get:

phi = 180 degrees - theta

Substituting the equations for theta and phi, we get:

tan(180 degrees - phi) = |vector D| / |vector A| = tan(phi)

Simplifying, we get:

tan(180 degrees - phi) = tan(phi)

Using the identity tan(180 degrees - theta) = -tan(theta), we can rewrite this as:

-tan(phi) = tan(phi)

Solving for phi, we get:

2*phi = 180 degrees

phi = 90 degrees

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Complete question may be:

If, vector A + vector B = vector Cvector A - vector B = vector D, then find the direction of vector D is perpendicular to vector A?

Answer:

3 ( 9e + 8)

Step-by-step explanation:

Answer:

3 (9e+8)

Step-by-step explanation:

3 times 9e is 27e

3 times 8 is 24

So 3 (9e+8) is equal to 27e + 24

Answer:

4500 pages

Step-by-step explanation:

an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.

1125*4 =4500 pages/hour

In one hour the machine will scan 4500 pages.

Given is that a machine takes 15 minutes to scan 1,125 pages.

The machine takes 15 minutes to scan 1,125 pages.

Then, in 1 minute, it will scan (1125/15) = 75 pages.

So, in 1 hour, it will scan -

x = 75 x 60

x = 4500

Therefore, in one hour the machine will scan 4500 pages.

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Answer:

Q18: x = 21, y = 15

Q19: x = 16, y = 10

Q20: x = 24, y = 19

Step-by-step explanation:

Q18:

(3x - 16) + (6x + 7) = 180 (corresponding angles, sum of angles on a straight line=180°)

9x - 9 = 180

9x = 189

x = 21

11y - 32 = 6x + 7 (vertically opposite angles)

11y - 32 = 6(21) + 7

11y - 32 = 133

11y = 165

y = 15

Q19:

8x - 14 = 5x + 34 (corresponding angles, vertically opposite angles)

3x = 48

x = 16

(8x - 14) + (5y + 16) = 180 (sum of angles on a straight line=180°)

8(16)-14 + (5y + 16) = 180

114 + 5y + 16 = 180

5y + 130 = 180

5y = 50

y = 10

Q20:

47 + 3x + (2x + 13) = 180 (corresponding angles, sum of angles on a straight line=180°)

5x + 60 = 180

5x = 120

x = 24

5y - 23 = 3x (corresponding angles)

5y - 23 = 3(24)

5y - 23 = 72

5y = 95

y = 19

The solution to the expression is -x² + 2ix²

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

a = x

b = -1 + 2i

The expression to calculate is given as

a^2 * b

This can be properly expressed as

a² * b

Substitute the known values in the above equation, so, we have the following representation

a² * b = x² * (-1 + 2i)

Open the brackets

a² * b = -x² + 2ix²

Hence, the solution is -x² + 2ix²

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The upper control limit using 3σ for P-chart is approximately 0.0768.

A quality control program is being developed for computer hard-drivers, and we are to determine the upper control limit using 3σ for P-chart.

We are given that the mean fraction defective in the samples in the past has been 3%. We also know that there are 5 random samples, and a constant sample size of 120 is taken for each random sample.*

The upper control limit (UCL) for a P-chart is given by:UCL = p + 3σpwhere p is the estimated proportion defective and σp is the standard deviation of the proportion defective.

We can estimate p as the mean of the past proportion defective, which is 0.03. The variance of the proportion defective is given by:

σp² = p(1 - p)/nwhere n is the sample size.

Since the sample size is constant and equal to 120 for each of the 5 random samples, we have:

σp² = 0.03(1 - 0.03)/120 = 0.0002245σp = √0.0002245 = 0.014993

Using the formula for the UCL, we have:

UCL = 0.03 + 3(0.014993)≈ 0.0768

Therefore, the upper control limit using 3σ for P-chart is approximately 0.0768.Option (a) is correct.

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Answer:

81, 64, 47, 30, 13, -4

Answer:

The next two numbers are 13 and -4.

Step-by-step explanation:

We are subtracting 17 each time.

30 - 17 = 13

13 - 17 = -4

The expression for the area under the graph of the function \(f(x) = 4 + sin^2(x)\), where 0 ≤ x ≤ A, using right endpoints as a limit is given by the sum of the areas of rectangles with width A/n and height \(f(x_i)\), where  \(x_i = i(A/n)\)  for i = 1 to n.

To find the expression for the area under the graph of f(x), we divide the interval [0, A] into n subintervals of equal width A/n. We use right endpoints to determine the height of each rectangle. In this case, the height of each rectangle is given by \(f(x_i)\), where \(x_i = i(A/n)\) for i = 1 to n. The width of each rectangle is A/n. Therefore, the area of each rectangle is \([(A/n) * f(x_i)]\)

To find the total area, we sum up the areas of all the rectangles. This can be expressed as the limit as n approaches infinity of the sum from

i = 1 to n of \([(A/n) * f(x_i)]\). Taking the limit as n goes to infinity ensures that we have an infinite number of rectangles and that the width of each rectangle approaches zero. This limit expression represents the area under the graph of f(x) using right endpoints.

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Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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Answer:

Jordon's brother got $40

Step-by-step explanation:

We can set up a system of equations to solve this.

Let's say that Jordon got x dollars.

His brother got y dollars.

x+y=100 since they are dividing the 100 dollars

1/3x=1/2y (the same indicates that they are equal)

Multiply the entire second equation by 3.

x=1.5y

Now we can substitute 1.5y in for x in the first equation.

x+y=100

1.5y+y=100

2.5y=100

Divide both sides by 2.5

y=40

Jordon's brother got $40.

Plug that in to find how much Jordon got.

x+y=100

x+40=100

Subtract 40 from both sides

x=60

Jordon got 60.

To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

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Answer:29.2

Step-by-step explanation:The equation used to add a markup percent to a product is the cost plus the markup percentage multiplied by the cost.

Answer:

$29.20

Step-by-step explanation:

The original price of an item is 100%, so a 60% mark up means that the price will now be 160% of the original price.

160% = 160/100 = 1.6

⇒ 160% of $18.25 = 1.6 × 18.25 = $29.20

Lucia saved the total amount of $100 and Ben saved $50.  Lucia saved twice as much as Ben so for every $1 Ben saved, Lucia saved $2.

Lucia and Ben have saved a total of $150. To solve this problem, we need to determine how much each person saved. We know that Lucia saved twice as much as Ben, so for every $1 Ben saved, Lucia saved $2. Since they have saved a total of $150, we can set up a proportion to solve for Ben's amount. $2:$1::$100:$x We can solve for x to find Ben's amount saved. $2x = $100, so x = $50. Therefore, Lucia saved $100 and Ben saved $50. Lucia saved twice as much as Ben so for every $1 Ben saved, Lucia saved $2.

The complete question: Together, Lucia and Ben have saved $150. Lucia saved $2 for every $1 that Ben saved. How much money did each person save?

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Answer:

Rectangle

Solve for length

l=4cm

w Width

7

cm

P Perimeter

22

cm

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=22

2﹣7=4cm

Answer: 10m +27

Step-by-step explanation: Add all the sides together to calculate Perimeter.

2(2m +10)+2m+7+2m +2m

4m + 20 + 2m +7 +2m +2m

10m +27