"Which relationship, when graphed, would show a straight line that includes the origin?
O the perimeter of a rectangle and its width
O the volume of a rectangular prism with a base area of 10 square inches and its height
O the area of a rectangle and its width
O the surface area of a rectangular prism with a base area of 10 square inches and its height

Answer: 120 hr

Step-by-step explanation: 15$ every hr so for 120 hrs it would be 1,800$ plus the signing bonus of 200$ would total 2,000$ but with out the bonus she would have to work 134 hrs for 2,010$

Answer:

y=60

x=30

Step-by-step explanation:

x+y=90⁰

if x is 30

30+y=90

y=90-30

y=60

Answer:

(-2, 1)

Step-by-step explanation:

Well, to actually graph it, for the first line you'd have one point at (0, -1) [0 right, 1 down] , then you go down one, right one, and place a point there, down another, right another, and repeat.

For the second you'd place a point on (0, 3) [0 right, 3 up] and then go one up, one right, and place a point. One up, one right and place a point and repeat that. the point where the two lines cross would be your answer. If you don't want to do that then the answer is (-2, 1) I believe.

Answer:

Please check my interpretation of your written equation.

Step-by-step explanation:

f(x) = (-x^2 - 2x - 2)/(x-2)

Wild.  See attached graph.

Answer:

V=d.h

Step-by-step explanation: I took the test i got this correct.

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Applying the Angle of Intersecting Tangents Theorem, the measure of angle PQR is: 49°.

If two tangents of a circle meet at a point outside the circle, then the angle between them is equal to half the difference between the measures of the two arcs intercepted by the tangents, according to the Angle of Intersecting Tangents Theorem.

Based on the above theorem:

m<PQR = 1/2(m(PQR) - m(PR))

m(PQR) = 360 - 131 = 229°

m(PR) = 131°

Substitute:

m<PQR = 1/2(229 - 131)

m<PQR = 49°

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Answer:

5.   y= -2x+4

6.   y= 1/3x-3

7.   y= -5/2x+8

8.    y= 3/4x+3

Step-by-step explanation:

these are the answers if you want me to explain tell me!

Answer:

see explanation

Step-by-step explanation:

there is a common difference between consecutive terms , that is

6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2

this indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 8 and d = - 2 , then

\(a_{n}\) = 8 - 2(n - 1) = 8 - 2n + 2 = - 2n + 10

then

a₁₄ = - 2(14) + 10 = - 28 + 10 = - 18

The measures of angles of the kite are ∠JHL = 91°

Given data ,

Let the kite be represented as KLHJ

where the measure of angle ∠HLK = 128°

And , the measure of ∠JKL = 50°

Now , kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles

So , the angles are

128° + 50° + 2x = 360°

On simplifying , we get

2x = 360° - 178°

2x = 182°

Divide by 2 on both sides , we get

x = 91°

Hence , the angle of kite is 91°

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Answer:

im not sure if this is right or not but i did the math and got 26

Step-by-step explanation:

let me know if i am or not pls

Answer:

3/ax-4=20

first add 4 to both sides

3/ax=20+4

multiply by a/3

24a/3

so x=8a

Answer: 1/8a

Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.

The given model is represented by the equation Yt = Xt + Zt, where {Zt} is a white noise process with mean 0 and variance σ², and {Xt} is a stationary random process following an autoregressive model of order 1 (AR(1)) with coefficient ø.

The AR(1) process is defined by Xt = øXt-1 + εt, where {εt} is a white noise process with mean 0 and variance σ²ε. It is assumed that |ø| < 1 to ensure stationarity of the process.

1. Model equation: Yt = Xt + Zt

  - Yt represents the observed value at time t.

  - Xt represents the value of the autoregressive process at time t.

  - Zt represents the white noise component at time t.

2. Autoregressive model AR(1): Xt = øXt-1 + εt

  - Xt represents the value of the autoregressive process at time t.

  - Xt-1 represents the value of the autoregressive process at time t-1.

  - ø is the autoregressive coefficient, satisfying |ø| < 1 to ensure stationarity.

  - εt represents the white noise component at time t.

3. White noise processes:

  - {Zt} is a white noise process with mean 0 and variance σ². It is uncorrelated noise added to the model.

  - {εt} is a white noise process with mean 0 and variance σ²ε. It represents the random error in the autoregressive process.

4. Stationarity of the AR(1) process:

  - The autoregressive process {Xt} is considered stationary if |ø| < 1.

  - Stationarity implies that the mean, variance, and autocovariance structure of the process do not change over time.

5. Assumption of no contemporaneous correlation:

  - It is assumed that the white noise component εt is uncorrelated with the autoregressive process Xt for all s > 1, meaning E[εt Xs] = 0 for s > 1. This assumption is important for the identification and estimation of the AR(1) model.

The given model combines an autoregressive process AR(1) and a white noise process to model the observed values Yt. The autoregressive process Xt depends on its previous value Xt-1 and an error term εt, while the white noise process Zt introduces additional random noise to the model. The stationarity of the autoregressive process is ensured by the condition |ø| < 1, and the assumption of no contemporaneous correlation between εt and Xt for s > 1 is made for estimation purposes.

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The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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The percentage of flights that do not arrive on time is 6%.

If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the

percentage means, a part per hundred. The word per cent means per 100.

An air line reports the 94% of its flights arrive on time.

The complement of the flight arriving on time would be the percentage of flights that do not arrive on time.

To calculate the complement, you can subtract the percentage of flights arriving on time from 100%.

The complement of the flight arriving on time = 100% - 94% = 6%

Therefore, the percentage of flights that do not arrive on time is 6%.

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Answer:

£49, £56

Step-by-step explanation:

A ratio of 7:8 means a ratio of 7 parts to 8 parts.

The total number of parts is 15.

105 is how many time 15?

105/15 = 7

Since 105 is 7 times 15, then you need to muyltiply 7 and 8 also by 7.

7 * 7 = 49

7 * 8 = 56

Answer: £49, £56

Answer:

540 g m/s.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.

4x=10

x=2.5

JM=15-7=8 and MK=5+3=8

8+8=16

Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Answer:

7392 pounds

Step-by-step explanation:

22x24x14

multiplication my friend

The original amount is (100%) if you have an increased by 30%

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.

In the given question, the percentage increase can be calculated with the help of the percentage increase formula,

Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100

To get the original amount,

Just add the percentage increase to 100, divide 100 by it, then multiple by the final number to get the original number.

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To find the point on the surface 6x = y^2 + z^2 where its tangent plane is parallel to a given plane, we need to find a point on the surface and determine the normal vector of the surface at that point.

Then, we can compare the normal vector of the surface to the normal vector of the given plane to check if they are parallel.

Let's first find a point on the surface by substituting a value for either y or z and solving for x. Let's choose y = 0:

6x = 0^2 + z^2

6x = z^2

x = z^2/6

So, one point on the surface is (z^2/6, 0, z).

To find the normal vector of the surface at this point, we can calculate the partial derivatives with respect to x, y, and z:

∂/∂x (6x) = 6

∂/∂y (y^2 + z^2) = 0

∂/∂z (y^2 + z^2) = 2z

The normal vector is then N = (6, 0, 2z) = (6, 0, 2z) / ||(6, 0, 2z)||, where ||N|| represents the magnitude of N.

To determine if the tangent plane is parallel to a given plane, we compare the normal vector of the surface to the normal vector of the given plane. If they are parallel, their direction vectors should be proportional.

If the given plane is parallel to the xy-plane and has a normal vector N_1 = (0, 0, 1), we can compare it to the normal vector of the surface. In this case, we see that the z-component of N (2z) is not proportional to the z-component of N_1 (1). Therefore, the tangent plane of the surface at the chosen point is not parallel to the given plane.

To find a point on the surface where its tangent plane is parallel to the given plane, we would need to choose a different point on the surface such that the normal vector of the surface at that point is parallel to the given plane's normal vector.

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The probability that the operator will choose a unit that is not a multiple of 8 is 22/25.

Given that storage units are numbered 1 through 50.

We have to find the probability that the operator will choose a unit that is not a multiple of 8.

Storage units are numbered through 1,2,3,....48,49,50.

So, the total number of possible units are 50.

The numbers that are multiples of 8 which lies between 1 to 50 are 8,16, 24, 32, 40, 48.

So, the multiples of 8 are 6.

And the number of units that are not multiple of 8 are 50-6=44.

Thus, favourable number of units are 44.

So, the probability that the operator will choose a unit that is not a multiple of 8 will be given by

Required probability=(Number of favourable units)/(Total possible units)

Required probability=44/50

Required probability=22/25

Hence, the probability that the operator will choose a unit that is not a multiple of 8 when storage units are numbered 1 through 50 is 22/25.

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Samantha needs to fill her 2 liter pitcher 10 times in order to serve lemonade to ten of her friends.

The formula that can be used to calculate the number of times Samantha needs to fill her 2 liter pitcher to serve lemonade to ten of her friends is: Number of Times Needed = Capacity of Pitcher (2 liters) / Serving Size (200 mL). Therefore, the number of times that Samantha needs to fill her 2 liter pitcher is 10 times. This can be calculated by dividing 2 (liters) by 0.2 (200 mL) which is equal to 10. Therefore, Samantha needs to fill her 2 liter pitcher 10 times in order to serve lemonade to ten of her friends.

Samantha needs to fill her 2 liter pitcher 10 times in order to serve lemonade to ten of her friends.

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The total time required taken by the bell to ring 20 times is equal to 180 seconds, or 3 minutes.

If it takes the bell 90 seconds to ring 10 times, we can calculate the average time it takes for each ring,

Average time per ring

= Total time / Number of rings

= 90 seconds / 10 rings

= 9 seconds per ring

To find out how long it will take the bell to ring 20 times,

we can multiply the average time per ring by the number of rings,

Time to ring 20 times

= Average time per ring × Number of rings

= 9 seconds per ring × 20 rings

= 180 seconds

Therefore, it will take the bell 180 seconds, or 3 minutes, to ring 20 times.

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