What is the cost of each filter if eight filters cost $39.922?

Please help!

The graph of both modelling equations using a common coordinate system has been attached to this answer.

From the given table, we see that;

In Seattle = $38000

In Port Townsend = $84000

In Seattle = $8400

In Port Townsend = $168400

The red line on the attached graph represents the line for Port Townsend while the blue line represents Seattle.

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Answer:

874

Step-by-step explanation:

not rounded is 873.702, and since the first decimal point is above a 5, we round up, giving us 874

Answer:

the answer is -1/4x which isn't on there

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3x^2

The coefficient is 3

The variable is x

The exponent is 2

To get the answer to this question we would have to calculate how much each DVD costs in each scenario.

To do this we will divide each cost by the total number of CDS:

\(\frac{2.30}{10} = .23\)

\(\frac{10.50}{50} = .21\)

For the pack of 10 CDS each CD costs 23 cents. On the contrary, for the pack of 50 CDs each CD costs 21 cents. Therefore to get a better deal, you would want to go with the 50 CDs.

Hope this helps!

- Kay

The cost per CD is lower when buying the package of 50 CDs, it is the better buy. You would save money by purchasing the package of 50 CDs for $10.50.

To determine which is the better buy, we need to compare the cost per CD in both scenarios.

Let's first calculate the cost per CD when buying 10 CDs:

Cost for 10 CDs = $2.30

Cost per CD = $2.30 / 10 CDs = $0.23 per CD

Now, let's calculate the cost per CD when buying a package of 50 CDs:

Cost for 50 CDs = $10.50

Cost per CD = $10.50 / 50 CDs = $0.21 per CD

Comparing the two options:

- Buying 10 CDs individually costs $0.23 per CD.

- Buying a package of 50 CDs costs $0.21 per CD.

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The volume of the solid generated by revolving the region bounded by the graphs of the equations y = 1/√(8x + 5), y = 0, x = 0, and x = 2 about the x-axis is 4π[(2 + 5^(1/2))^(1/2) - 5^(1/4)].

To find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 1/√(8x + 5), y = 0, x = 0, and x = 2 about the x-axis, we can use the method of cylindrical shells.

First, let's determine the limits of integration. The region is bounded by x = 0 and x = 2. Therefore, we will integrate with respect to x from 0 to 2.

Next, let's express the equation y = 1/√(8x + 5) in terms of x, which gives us y = (8x + 5)^(-1/2).

Now, we can set up the integral to calculate the volume:

V = ∫[0 to 2] 2πx(1/√(8x + 5)) dx

To simplify the expression, we can rewrite it as:

V = 2π ∫[0 to 2] x(8x + 5)^(-1/2) dx

Now, we can integrate using the power rule for integration:

V = 2π ∫[0 to 2] (8x^2 + 5x)^(-1/2) dx

To evaluate this integral, we can use a substitution. Let u = 8x^2 + 5x, then du = (16x + 5) dx.

The integral becomes:

V = 2π ∫[0 to 2] (8x^2 + 5x)^(-1/2) dx

= 2π ∫[0 to 2] (u)^(-1/2) * (1/(16x + 5)) du

= 2π ∫[0 to 2] u^(-1/2) * (1/(16x + 5)) * (1/(16x + 5)) du

= 2π ∫[0 to 2] u^(-1/2) * (1/(16x + 5)^2) du

Now, we can evaluate this integral. Integrating u^(-1/2) will give us (2u^(1/2)), and we can evaluate it at the limits of integration:

V = 2π [(2u^(1/2)) | [0 to 2]]

= 2π [(2(2 + 5^(1/2))^(1/2)) - (2(0 + 5^(1/2))^(1/2))]

= 2π [2(2 + 5^(1/2))^(1/2) - 2(5^(1/2))^(1/2)]

= 4π[(2 + 5^(1/2))^(1/2) - (5^(1/2))^(1/2)]

Finally, we simplify the expression:

V = 4π[(2 + 5^(1/2))^(1/2) - 5^(1/4)]

Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 1/√(8x + 5), y = 0, x = 0, and x = 2 about the x-axis is 4π[(2 + 5^(1/2))^(1/2) - 5^(1/4)].

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Answer:

540,000

Step-by-step explanation:

Since you are rounding to the 10,000s place you must look at the 1,000s place to decide what to round to. Since in the 1,000s place is a 1, you will round the number down (1 < 5).

Where  F(x)= -3x²+2x-17, there are two imaginary solutions: x = 0.33 ± 2.36i

Given   F(x)= -3x²+2x-17

Using the quadratic equation formula we have

x =   (-b ± √(b² - 4ac)) / 2a

x = -2 √(2² - 4 x (-3) x(-17))/2 * -3

x = -2 ± √-200/-6

x = 1/3 ± 5/3√2i

x  =  0.33333333333333 ± 2.3570226039552i

x ≈   0.33 ± 2.36i

Note that i in this case is an imaginary solution. A pure imaginary number is one with a square that is a negative real number. A complex number is the product of a real and a pure imaginary number.

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The probability of a diffusing atom jumping from one site to another is influenced by temperature. It is typically described by the Arrhenius equation:

P = \(Ae^{(-Q/RT)}\)

Where:

P is the probability of a jump

A is the pre-exponential factor

Q is the activation energy

R is the gas constant

T is the absolute temperature in Kelvin

To calculate the probability at 500°C and 1000°C, we need to convert these temperatures to Kelvin:

\(T_{500C}\) = 500 + 273.15

= 773.15 K

\(T_{1000C}\) = 1000 + 273.15

= 1273.15 K

Assuming we have values for the pre-exponential factor (A) and activation energy (Q), we can substitute these values into the Arrhenius equation to calculate the probabilities at the given temperatures. However, without specific values for A and Q, we cannot provide a numerical answer.

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Answer:

the solution points for the system of equations are (3, 25) and (-7/2, -7).

Step-by-step explanation:

We can solve this system of equations using substitution or elimination. Here, we will use the substitution method:

Substitute y = 2x^2 + 5x - 10 into the second equation:

4x - (2x^2 + 5x - 10) = -11

Simplifying the left side of the equation:

4x - 2x^2 - 5x + 10 = -11

Rearranging the terms:

2x^2 - x + 21 = 0

Using the quadratic formula:

x = (-(-1) ± sqrt((-1)^2 - 4(2)(21))) / 2(2)

x = (1 ± sqrt(169)) / 4

x = (1 ± 13) / 4

Simplifying:

x = 3 or x = -7/2

Now, substitute each value of x back into one of the original equations to find the corresponding value(s) of y:

For x = 3:

y = 2(3)^2 + 5(3) - 10 = 25

So one solution point is (3, 25).

For x = -7/2:

y = 4(-7/2) + 11 = -7

So the other solution point is (-7/2, -7).

Therefore, the solution points for the system of equations are (3, 25) and (-7/2, -7).

Answer:

x = 14 2/3

Step-by-step explanation:

it is a parallelogram.

that means AB is parallel to CD, and AD to BC.

it also means that the total angles at B and D must be equal. and the total angles at A and C.

and the sum of all angles in a parallelogram is 360 degrees.

so, we have

360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =

= 8x + 7x + 16 + 2x + 20 + 4x + 16 =

= 21x + 52

308 = 21x

x = 14.666666666.... = 14 2/3

Answer:

9.534 kg per dollar is the better deal

Step-by-step explanation:

when you covert 9.534 kg to lb you'll get 21.019 pounds which is a much better deal than 4, and because 21>4

EXPLANATION

The area of the figure can be obtained by applying the following relationship:

Where b=base and height=h

In order to find the height, we need to apply the trigonometric relationship:

Multiplying both sides by 6.4:

Solving the argument:

Switching sides:

Now that we have the height, we can compute the area as follows:

The answer is 53.24 squared inches.

  v/24 = 23

   x 24 | x 24       23 x 24 = 552

    24v | 552

     24  |  24

        v = 23

if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.

Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:

2/10 = 1/5 of a pizza

Each child now has 1/5 of a pizza.

Since there are 5 children, the total amount of pizza shared is:

5 × (1/5) = 1 pizza

Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.

To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:

5 × (2/10) = 1 pizza

So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.

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To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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The function h(x) has a maximum at 4,the vertix is 4,3

Answer: Choose A my smart self just knew

Answer:

20.78

Step-by-step explanation:

sin a = perpendicular/ hypotenuse

where a is the base angle

here a = 60

sin 60 = 18/ x

since,

\( \sin(60) = \ \frac{ \sqrt{3} }{2}\)

\( \frac{ \sqrt{3} }{2} = \frac{18}{x} \)

√3 x = 36

x = 36/ √3

x = 36/ 1.732

x = 20.78

Answer with Explanation: We need to find the probability of obtaining the red and tails when the two are flipped at the same time:

The probability of the red and tails or P(Red and Tails) is as follows:

Conclusion: Therefore the probability is (1/4) or 25%.

Answer: i would say 280.

Step-by-step explanation: because if you add 180 plus another set of it it would make 280

Answer:

180

Step-by-step explanation:

Since they are vertical angles, they are congruent to each other

m<1 = m<2

Answer:

(A=Z+3b+9)/9

Step-by-step explanation:

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

Answer:

the answer is -13.64 i just took the test and it right promise.

Step-by-step explanation:

mark me as brainliest pls its right

Answer:

The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6

Solution:

Given:

Using the binomial distribution formula;

a) Probability that exactly 4 pass the final inspection.

b) Probability that less than 3 pass.

Hence,

Thus,

Answer:

72 meters

Step-by-step explanation:

12 times 9 is 72

Answer:

243 m²

Step-by-step explanation:

Given the scale is 4 : 6 = 2 : 3 , then

scale of areas = 2² : 3² = 4 : 9

area of scale drawing = 12 × 9 = 108 cm²

let x be the actual area then using proportion

\(\frac{4}{108}\) = \(\frac{9}{x}\) ( cross- multiply )

4x = 972 ( divide both sides by 4 )

x = 243

Actual area = 243 m²

Answer:

D.

Step-by-step explanation:

√49 = 7 by definition of square root.

7 is an integer, and all integers are real numbers.

7 is also rational as all integers are rational.

√49 is not an irrational number.

Answer:

\(f^{-1}\)(x) = 0.5x + 2

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 2x - 4 ( add 4 to both sides )

y + 4 = 2x ( divide both sides by 2 )

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

Change y back into terms of x with x = \(f^{-1}\) (x)

\(f^{-1}\) (x) = \(\frac{x+4}{2}\) = 0.5x + 2

Answer: F -1(x)  = 0.5 x + 2

Step-by-step explanation:

Just took the test on edmentum and got a 100

Answer:

it is number 1

Step-by-step explanation:

i asked my teacher

Answer: 3 or 4, this question isnt exactly possible to answer

Step-by-step explanation: