Eva can type 120 words in 3 minutes. If w represents the number of words she can type in 8 minutes, what proportion could NOT be used to find the value of w?

Answer:

The correct inequality to represent this scenario is: C. 35 + 4x ≤ 75

Explanation: Penelope has a fixed fee of $35 to rent the kayak and an hourly fee of $4. To find the maximum number of hours she can rent the kayak, we need to find the value of x that makes the inequality 35 + 4x ≤ 75 true. In this inequality, 35 is the fixed fee and 4x represents the total cost of renting the kayak for x hours. To solve for x, we need to subtract 35 from both sides of the inequality to get 4x ≤ 40. Then, we need to divide both sides by 4 to get x ≤ 10. This means that Penelope can rent the kayak for a maximum of 10 hours.

Using the concepts of unitary method, we got that  $42.83 was the total for all of the food and drink. if me and my friend went to dinner together and ordered 4 hamburgers at $5.95 each, 3 baskets of fries at $4.25 each, and 4 sodas at $1.75 each

Since, we are given that cost price of one hamburger is $5.95,

so total cost of 4 hamburgers is =4×5.95=$23.08

Similarly, we are given that cost price of one baskets of fries which is $4.25,

so total cost of three baskets of fries is =3×4.25=$12.75

Similarly, we are given that cost price of one soda which is $1.75,

so total cost of 4 soda  is =4×1.75=$7.00

So, Total cost of my order is= 4 hamburger cost+3 baskets of fries cost +4 sodas cost =23.08+12.75+7.00=$42.83

Hence, if me and my friends went to dinner together and ordered 4 hamburgers at $5.95 each, 3 baskets of fries at $4.25 each, and 4 sodas at $1.75 each, the total for all of the food and drink was $42.83

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A+B+C= 40

2C +5=A

B-C=3

A is Amanda, B is Bethany and C is Christina

The maximum number of tickets the theater can sell is 39,572.

The maximum number means the greatest amount of something possible.

The theater sale each weekend is 761 tickets.

There are eight weekend days in a month and in case the month starts with a Saturday or a Sunday there can be an additional weekend.

To calculate the maximum number of tickets the theater can sell in 1 year, we can multiply the maximum number of tickets sold per weekend by the number of weekends in a year, which is 52.

So, 761 tickets x 52 weekends = 39,572 tickets

Therefore, the maximum number of tickets the theater can sell in 1 year is 39,572 tickets.

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In the given problem regarding electric charge, we conclude that options 1, 3, 4, and 6 are correct and true.

In the 1st statement,

it says both particles will be at rest when they reach A and C, which is true as they are addressed towards A and C under a uniform field and will be moving by the force of the electric field (F=QE) but we are applying for Work on it, so it ends at rest.

The 2nd statement is false as

the electric field is uniform and is not changing.

The 3rd statement is true because the forces are different as the Coulomb Force exerted on Particle two by the source of electrical is larger due to the difference in charges.

The 4th Statement is true due to the fact that both of the particles will move through, the same potential difference from start to finish.

The 5th Statement is false, coloumbic force will not increase and will remain constant.

The 6th Statement is true as Both the particles are positive, they are approaching the negative, so potential energy will be decreasing.

The 7th statement is false as the net work done on Particle two by the field and by us is zero but it is not zero.

The 8th statement is false, the electric potential energy of particles does not change from start to finish.

The 9th statement is also false, net work done is not zero due to the reason that electric force is conservative and here we are not coming back to the starting point.

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Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

The center of the circle is at (0, 4), the radius is 4 units, and the circle intercepts the x-axis at (0, 0) and the y-axis at (0, 8).

The equation of the circle is x²+(y-4)²-16.

We have to find the center, radius, and intercepts or the circle.

The standard form of the circle is (x-h)²+(y-k)²=r².

(h, k) is the center and r is the radius of circle.

Let us convert the given equation to standard form.

(x-0)²+(y-4)²=16

(x-0)²+(y-4)²=4²

So (0, 4) is the center and 4 is the radius.

To find the x-intercepts, we set y = 0 and solve the equation for x. Substituting y = 0 into the equation.

we get x²+(y-4)²= 16, which simplifies to x² + 16 = 16.

Solving further, x² = 0, and thus x = 0.

Therefore, the circle intersects the x-axis at the point (0, 0).

To find the y-intercepts, we set x = 0 and solve the equation for y. Substituting x = 0 into the equation, we have 0² + (y - 4)² = 16, which simplifies to (y - 4)² = 16.

Taking the square root, we get y - 4 = ±√16 = ±4.

Solving further, y = 4 + 4 = 8 or y = 4 - 4 = 0.

Therefore, the circle intersects the y-axis at the points (0, 8) and (0, 0).

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The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.

A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.

A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.

An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.

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To make the augmented matrix correspond to a consistent system, we need to ensure that the third row is a linear combination of the first two rows. Let's denote the entries in the third row as a, b, and c, respectively. Then, the equation involving g, h, and k that makes the matrix consistent is:

-4g + 3h + 5k = a

7g - 5h - 9k = b

In a consistent system, all rows of the augmented matrix must be linearly dependent. This means that the third row should be a linear combination of the first two rows. By equating the corresponding entries in the third row to variables, we can find an equation involving g, h, and k that satisfies this condition.

In the given augmented matrix, the third row is represented by the variables g, h, and k. We denote the entries in the third row as a, b, and c, respectively. To create a consistent system, we need to find a relationship between these variables and the entries in the first two rows.

By comparing the entries in the first and second columns, we can set up the following equations:

-4g + 3h + 5k = a (equation 1)

7g - 5h - 9k = b (equation 2)

These equations ensure that the augmented matrix corresponds to a consistent system. If we substitute the values of g, h, and k into equations 1 and 2, the resulting values in the third row will satisfy the entries a and b, respectively.

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To find the equation of the tangent line to the graph of a function at a given point, we need to determine the slope of the tangent line and then use the point-slope form of a linear equation.

5. Let's find the equation of the tangent line to the graph of the function \(\(f(x) = \frac{x}{x + 4}\) at the point \((-5, 5)\).\)

First, we need to find the derivative of \(\(f(x)\)\) to determine the slope of the tangent line. Applying the quotient rule, we have:

\(\[f'(x) = \frac{(x + 4)(1) - x(1)}{(x + 4)^2} = \frac{4}{(x + 4)^2}\]\)

Now, we can find the slope of the tangent line by evaluating \(\(f'(-5)\):\)

\(\[m = f'(-5) = \frac{4}{(-5 + 4)^2} = \frac{4}{1} = 4\]\)

Therefore, the slope of the tangent line is \(\(m = 4\).\)

Using the point-slope form of a linear equation, we can write the equation of the tangent line as:

\(\[y - y_1 = m(x - x_1)\]\)

Substituting the values \(\((-5, 5)\) and \(m = 4\),\) we have:

\(\[y - 5 = 4(x + 5)\]\)

Simplifying the equation, we get:

\(\[y - 5 = 4x + 20\]\)

Finally, rearranging the equation, we find the equation of the tangent line:

\(\[y = 4x + 25\]\)

6. Now let's find the equation of the tangent line to the graph of the function \(\(f(x) = (x^3 + 4x - 1)(x - 2)\)\) at the point \(\((1, -4)\)\).

To find the slope of the tangent line, we need to find the derivative of \(\(f(x)\)\). Applying the product rule and simplifying, we have:

\(\[f'(x) = (3x^2 + 4)(x - 2) + (x^3 + 4x - 1)(1)\]\)

Simplifying further, we get:

\(\[f'(x) = 4x^2 - 6x - 3\]\)

Next, we evaluate \(\(f'(1)\)\) to find the slope of the tangent line at \(\((1, -4)\):\)

\(\[m = f'(1) = 4(1)^2 - 6(1) - 3 = -5\]\)

Therefore, the slope of the tangent line is \(\(m = -5\).\)

Using the point-slope form of a linear equation with the point \(\((1, -4)\)\) and the slope \(\(m = -5\)\), we have:

\(\[y - (-4) = -5(x - 1)\]\)

Simplifying the equation, we get:

\(\[y + 4 = -5x + 5\]\)

Finally, rearranging the equation, we find the equation of the tangent line:

\(\[y = -5x + 1\]\)

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Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

Answer: The number is 14.

Step-by-step explanation:

14 minus 2 equals 12 and 12 times 5 equals 60.

Hope this helps :)

Have a great day!!

Answer:

8m+2+4m=14m2

12m+2m=14m2

14m2=14m2

0=0 prove

Answer:

\(\sf 8m+2+4m\)

\(\sf 8m+4m+2\)

\(\sf 12m+2\)

_________________

\(\sf 2 (6m + 1)\)

\(\sf 2\times \:6m+2\times \:1\)

\(\sf 12m+2\)

Answer:its a and d

Step-by-step explanation:

The percent of the ship's passengers held round-trip tickets is 50/100 = 50%.

Since the number of passengers on the ship is immaterial, let the number of passengers on the ship be 100 for convenience.  

Let x be the number of passengers that held round-trip tickets.  

Then, since 20 percent of the passengers held a round-trip ticket and took their cars aboard the ship, 0.20(100) = 20 passengers held round-trip tickets and took their cars aboard the ship.  

The remaining passengers with round-trip tickets did not take their cars aboard, and they represent 0.6x (that is, 60 percent of the passengers with round-trip tickets).  

Thus, 0.6x + 20 = x, from which it follows that 20 = 0.4x, and so x = 50.  

The percent of passengers with round-trip tickets is, then, 50/100 = 50%

A roundtrip flight is a flight itinerary that includes one flight to a vacation spot and some other flight lower back from that destination, which include flying from NYC to Paris after which Paris lowers back to NYC. The direction might also include layovers or connections, however, the beginning and endpoint are equal.

Ask the enterprise to alter the round-trip ticket for one-way usage. although airways exercise a varying degree of flexibility, many airlines will regulate a round-ride fare to permit one-manner use, though a few airlines might also charge a penalty or charge for this provider.

also known as “return air tickets,” round-journey tickets are flights from and again to the equal place beginning. A one-manner price tag, then again, simplest lets you to fly your destination, now not back from it.

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Answer:

-78.85

Step-by-step explanation:

Using Order of Operations (PEDMAS):

23.15 – [ 115 + ( 12 - 25)]

= 23.15 – [ 115 + (-13)]

= 23.15 – [ 115 - 13]

= 23.15 -  102

= -78.85

The length of the longer diagonal of the parallelogram is approximately 5.1 ft.

We have,

To find the length of the longer diagonal of the parallelogram, we can use the law of cosines.

The law of cosines states that in a triangle with side lengths a, b, and c, and angle C opposite side c, the following equation holds true:

c² = a² + b² - 2ab * cos(C)

In this case, we have side lengths AB = 4 ft and angle A = 30°, and we want to find the length of the longer diagonal.

Let's denote the longer diagonal as d.

Applying the law of cosines, we have:

d² = AB² + AB² - 2(AB)(AB) * cos(D)

d² = 4² + 4² - 2(4)(4) * cos(80°)

d² = 16 + 16 - 32 * cos(80°)

Using a calculator, we can calculate cos(80°) ≈ 0.1736:

d² = 16 + 16 - 32 * 0.1736

d² ≈ 16 + 16 - 5.5552

d² ≈ 26.4448

Taking the square root of both sides, we find:

d ≈ √26.4448

d ≈ 5.1427 ft (rounded to the nearest tenth)

Therefore,

The length of the longer diagonal of the parallelogram is approximately 5.1 ft.

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Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

\( \frac{x}{360} \pi {r}^{2} \)

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

\(16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) } \)

This isn't the standard formula, it's for this problem

\(16 = \sqrt{200 - 200 \times \cos(o) } \)

\(16 = \sqrt{200 - 200 \cos(o) } \)

\(256 = 200 - 200 \cos(o) \)

\(56 = - 200 \cos(o) \)

\( - \frac{7}{25} = \cos(o) \)

\( \cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) ) \)

\(106.26 = o\)

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

\( \frac{106.26}{360} (100)\pi\)

\( \frac{10626}{360} \pi\)

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

\( \sqrt{s(s - a)(s - b)(s - c)} \)

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

\( \frac{36}{2} = 18\)

\( \sqrt{18(18 - 10)(18 - 10)(18 - 16)} \)

\( \sqrt{18(8)(8)(2)} \)

\( \sqrt{(36)(64)} \)

\(6 \times 8 = 48\)

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

\( \frac{10626}{360} - 48\)

Which is an approximate or

44.73

The nth term of the quadratic sequence is: nth = (n + 1)² + 8

The given sequence is:

12,17,24,33,44,57

a₁ = (1 + 1)² + 8 = 2² + 8 = 4 + 8 = 12

a₂ = (2 + 1)² + 8 = 3² + 8 = 9 + 8 = 17

a₃ = (3 + 1)² + 8 = 4² + 8 = 15 + 8 = 24

a₄ = (4 + 1)² + 8 = 5² + 8 = 25 + 8 = 33

a₅ = (5 + 1)² + 8 = 6² + 8 = 36 + 8 = 44

a₆ = (6 + 1)² + 8 = 7² + 8 = 49 + 8 = 57

:

:

an = (n + 1)² + 8

Thus, the nth term of the  quadratic sequence is written as : nth = (n + 1)² + 8

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nCr(20, 2) = 190 ways of selecting 2 from 20

nCr(10, 1)    =   10 ways of selecting 1 from 10

To find the over all probability of winning,

Calculate the Harmonic Mean (19) and divide by 2

Equivalent to

1/ (1//190 + 1/10) =9.5

So the probability is 1/9.5 = 2/19.

Answer:

-14.2

Step-by-step explanation:

The data provide evidence that the rate is at least 90% correct.

To determine whether the rate of correct readings by the OCR system is at least 90%, we can perform a hypothesis test. The null hypothesis, denoted as H0, would state that the rate is equal to 90% or less, while the alternative hypothesis, denoted as Ha, would state that the rate is greater than 90%.

In this case, we have 462 out of 500 digits read correctly by the OCR system. To test the hypothesis, we can calculate the sample proportion of correct readings, which is 462/500 = 0.924.

Using this sample proportion, we can conduct a one-sample proportion test. With a sample size of 500, the conditions for performing the test are satisfied. We can calculate the test statistic and p-value to assess the evidence against the null hypothesis.

If the p-value is less than the significance level (commonly 0.05), we would reject the null hypothesis and conclude that there is evidence that the rate is greater than 90%. Conversely, if the p-value is greater than or equal to the significance level, we would fail to reject the null hypothesis.

Without the specific test statistic and p-value provided, we cannot give a definitive conclusion. However, based on the given information, the data indicate that the rate is at least 90% correct, as the sample proportion is 0.924.

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Answer:

$95

Step-by-step explanation:

(5x9) + (5x6) + (5x4)= 45 + 30 + 20 =95

Answer:

I think 3,9, and 15

Step-by-step explanation:

Answer: I don't quite understand your question. Supplementary angles are angles that equal 180 degrees. You can find missing supplementary angles by adding the two that are given, and then subtracting them by 180.

Answer:

First is no solution, second is unique solution (-3,0)

Step-by-step explanation:

Answer:

Part A the answer is 9cm

Part B the answer is going to be 9cm

Step-by-step explanation:

Step-by-step explanation:

284.8 = 282.2 ( b)^1             1 is the number of years....looking for 'b'

284.8 / 282.2 = b = ~ 1.009

P(t) = 282.2 ( 1.009)^t         where P(t) is in millions and :

The variable t represents the number of years since July of 2000. Round your value of b to the nearest thousandth.