Mario walked at a rate 2/3 miles every 10 minutes. What was his walking rate in miles per hour?

Answer:

14. 4

15. 6

Step-by-step explanation:

Hey there!

1/15 ÷ 8

= 1/15 ÷ 8/1

= 1/15 × 1/8

= 1 × 1 / 15 × 8

= 1 / 120

Therefore, your answer is: 1/120

Good luck on your assignment & enjoy your day!

~Amphirite1040:)

Answer:

2 + 2 = 4

Step-by-step explanation:

Answer:

Here

You can form a triangle joining the ship(C) to the base of statue of liberty(B) and its top of statue(A) which is again joined to the ship(C)

AB=BCtan(20)=305cot(20)----that's your answer.

Step-by-step explanation:

Answer:

c that is the answer because I took the quiz and it was right hope this helped if I'm wrong sorry

The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Answer:

y² = 36x

Step-by-step explanation:

Parabola opens right.

Thus equation is from; y² = 4ax

And focus is at (a, 0)

Since we are given focus at (9, 0),it implies that a = 9

Thus, equation of parabola is;

y² = 4 × 9 × x

y² = 36x

The total cost of renting the electronic skateboard for 94 minutes is $23.53.

We are given that;

Rate for 47 minute= $1.74

Electronic skateboard= 20.05$

Now,

We can write an equation for the rent and the tax as follows:

r = 20.05 + 1.74 * (t / 47)

where r is the total cost of renting the electronic skateboard, t is the time in minutes, and x is the tax.

For example, if Aous wants to rent the electronic skateboard for 94 minutes, we can substitute t = 94 into the equation:

r = 20.05 + 1.74 * (94 / 47) = $23.53

Therefore, by the equation the answer will be $23.53.

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Answer:

Your Answer is going to be C

Answer:

You determine your weekly pay by taking your sales for the week, times 5%, or .05, then adding in your salary of $300

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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a. the integral \(I\) becomes \(\[I = a\theta + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration. b. the integral \(I\) becomes \(\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration.

To evaluate the integral \(I = \int (a + \cos(\theta)) \, d\theta\), we can apply the integral rules and properties. Let's consider the two given cases:

(a) If \(a > 1\):

In this case, the integral can be evaluated directly. The integral of \(a\) with respect to \(\theta\) is \(a\theta\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = a\theta + \sin(\theta) + C\]

where \(C\) is the constant of integration.

(b) If \(a = a_0 + i e\), where \(a_0\) and \(e\) are real and positive:

In this case, the integral can also be evaluated using the same rules. The integral of a constant multiplied by a variable is \(\frac{1}{2}a\theta^2\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]

where \(C\) is the constant of integration.

It's important to note that the integral is evaluated based on the assumption that \(d\theta\) is the differential of \(\theta\) and not a different variable. Also, \(C\) represents the constant of integration, which can take any value.

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Answer: C

Step-by-step explanation:

Answer:

9

Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.

The correct options for the values of a and b in the equation are a = 2 and b = -3/4

We shall use the negative sign before the bracket at the left hand side of the equation to open bracket as follows;

-(-2 + 3/3) = (- × -2) + (- × 3/4)

-(-2 + 3/3) = (+2) +(-3/4)

so the equation becomes;

7/8 -(-2 + 3/3) = (+2) +(-3/4) + 7/8.

Therefore, the correct options for the values of a and b in the equation are a = 2 and b = -3/4

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The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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The denominator in the earnings per share formula is number of common shares outstanding.

What is the denominator used in the computation of earnings per share?

How are basic earnings per share determined?

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The answers are as follows -

(a) f(x) = 0.15 + 0.89x

(b) $ 10.83.

(c) 7 donuts

(a) Firstly, forming the function using given information. Let x be the number of donuts. Adding the one-time fee and cost per donut.

f(x) = 0.15 + 0.89x

(b) As per the known fact, 1 dozen = 12 quantities. Hence, there will be 12 donuts. Keeping the values in formula to find the price of box.

f(12) = 0.15 + 0.89 × 12

f(12) = 0.15 + 10.68

f(12) = 10.83

Thus, the price of box containing one dozen donuts is 10.83.

(c) Now, finding the value of x as per given cost.

6.38 = 0.15 + 0.89x

0.89x = 6.38 - 0.15

0.89x = 6.23

x = 6.23 ÷ 0.89

x = 7

Thus, a box costing $6.38 will contain 7 donuts.

Hence, (a) f(x) = 0.15 + 0.89x, (b) $ 10.83 and (c) 7 donuts.

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\(\frac{11}{-6}\)

The equation of the polynomial equation is P(x) = x² - 10x + 26

The given parameters are

Degree = Least degree

Zero = 5 + i

There are complex numbers in the above zeros

This means that, the other zeros are

Zeros = 5 - i

The equation of the polynomial is then calculated as

P(x) = Leading coefficient * (x - zero)^multiplicity

So, we have

P(x) = (x - (5 + i)) * (x - (5 - i))

This gives

P(x) = (x - 5 - i) * (x - 5 + i)

Evaluate the products

P(x) = x² - 5x + ix -5x + 25 -5i - ix + 5i + 1

Evaluate the like terms

P(x) = x² - 5x -5x + 25 + 1

Evaluate the like terms

P(x) = x² - 10x + 26

Hence, the equation is P(x) = x² - 10x + 26

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The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.

In this case, Δx = (π/2 - 0)/4 = π/8.

To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.

For the first rectangle, the right endpoint is x = π/8.

For the second rectangle, the right endpoint is x = π/4.

For the third rectangle, the right endpoint is x = 3π/8.

And for the fourth rectangle, the right endpoint is x = π/2.

Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):

Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8

Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8

Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8

Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8

Now, let's calculate the values:

Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887

Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142

Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887

Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0

Finally, to estimate the total area, we sum up the areas of all four rectangles:

Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916

Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

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The answer to the given problem is 5

Probability is the degree to which an occurrence is likely to take place, as determined by the proportion of favorable examples to the total number of instances for which it is probable to have occurred.

Let's assume

1 - P(no one has the same sign) >= 0.5

P(two or more people have the same sign) = 1 - P(no one has the same sign)

= 1 - (12 / (12-n)) / 12^n

1-0.5=0.5 >= P (no one has the same sign) = 12/(12^n x (12-n))

0.5 >= 12 /(12^n x (12-n))

Solve for n.

n = 5

Hence the answer is 5

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Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

\(x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68\)

The events are not disjoint.The probability of getting an order from Restaurant A,

or an order that is accurate can be found by adding the probabilities of the two individual events: P(A or Accurate) = P(A) + P(Accurate) - P(A and Accurate).

From the table, we can see that the number of accurate orders at Restaurant A is 334, and the total number of orders at Restaurant A is 334 + 39 = 373. Therefore, P(A) = 373 / (373 + 260 + 241 + 149) = 373 / 1023.

The total number of accurate orders across all restaurants is 334 + 260 + 241 + 149 = 984. Therefore, P(Accurate) = 984 / (373 + 260 + 241 + 149) = 984 / 1023.

The number of orders that are both from Restaurant A and accurate is 334. Therefore, P(A and Accurate) = 334 / (373 + 260 + 241 + 149) = 334 / 1023.

Now we can calculate the probability of getting an order from Restaurant A or an order that is accurate:

P(A or Accurate) = P(A) + P(Accurate) - P(A and Accurate)

                 = 373 / 1023 + 984 / 1023 - 334 / 1023

                 = 1023 / 1023

                 = 1

Therefore, the probability of getting an order from Restaurant A or an order that is accurate is 1, which is equivalent to 100%.

Regarding the question of whether the events of selecting an order from Restaurant A and selecting an accurate order are disjoint events, the answer is no. Disjoint events are mutually exclusive events that cannot occur at the same time.

In this case, it is possible to select an accurate order from Restaurant A, so the events are not disjoint.

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the answer is -15. negative - negative = negative.

Answer:

(-8)+(-7).

-8-7= -15.

Answer:

Step-by-step explanation: 1/2 is the slope of the line

The surface area of the cube is increasing at a rate of 49 cm²/min.

If the length of an edge of a cube is l cm.,

its volume V is l3 and surface area A is 6l2.

Differentiating V=l3 w.r.t. time,

we get,

dV/dt = 3l2dldt

dV/dt=10 cm3min,

when l=90

dl/dt=103×902

=12430

As A=6l2

dA/dt =12l×dldt

=12×90×12430

=49 cm2min

The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume.

It differs from 2D shapes in that it adds a third dimension, known as height or thickness, in addition to length and breadth.

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The density of the rock with a mass of 39.78 g and volume 12.45 cm³ is 3.2 g/cm³.

Density is simply the mass of a unit volume of a material substance.

It is expressed mathematically as;

p = m / v

Where m is mass and v is volume

Given the data in the question;

Plug the given values into the above formula and solve for p.

p = m / v

p = 39.78g / 12.45 cm³

p = 3.2 g/cm³

Therefore, the density of the rock is approximately 3.2 g/cm³.

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Answer:

Steve has to save for 4 days and Maria has to save for 3 days and they will save $36 each.

Step-by-step explanation:

S = 9 x 4 = 36

M = 12 x 3 = 36