1 hour 20 mins = _____ seconds
Plz help me

the NPV of the ambulance, rounded to the nearest dollar, is approximately $10,731. Option b

To calculate the NPV (Net Present Value) of the ambulance, we need to determine the present value of the net cash flows over the five-year period.

The formula for calculating NPV is:

NPV = (Cash Flow / (1 + r)^t) - Initial Investment

Where:

Cash Flow is the net cash flow in each period

r is the required rate of return

t is the time period

Initial Investment is the initial cost of the investment

In this case, the net cash flow per year is $50,000, the required rate of return is 9%, and the initial cost of the ambulance is $200,000.

Using the formula, we calculate the present value of each year's cash flow and subtract the initial investment:

NPV =\((50,000 / (1 + 0.09)^1) + (50,000 / (1 + 0.09)^2) + (50,000 / (1 + 0.09)^3) + (50,000 / (1 + 0.09)^4) + (75,000 / (1 + 0.09)^5) - 200,000\)

Simplifying the equation, we find:

NPV ≈ 10,731

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Answer:

For the first one it would be A. x = -3, 4 because they where f(x) and g(x) intersect.

Step-by-step explanation:

For the second one it would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Answer:

I believe it is A

Step-by-step explanation:

Answer:

Yes it is because non of the numbers in the domain repeat.

Step-by-step explanation:

Which theorem or postulate proves that △ABC and △DEF are similar?

\( \sf \: AB\:and\:DE [Side] \\ \sf∠B\:and\:∠E[Angle] \\ \sf \: BC\:and\:EF [Side]\)

The theorem that proves that △ABC and △DEF are similar is; SAS Similarity Theorem

From the given triangles △ABC and △DEF, we see that the corresponding angles ∠B and ∠E are equal.

Now, we can see that sides in △DEF are a third of the corresponding sides in △ABC.

Thus, we can say that AB is congruent to EF.

Therefore both triangles are congruent by SAS Similarity Theorem

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The fractions 2/7 and 5/7 sum to 1.

We have,

2/7, 4/7, 5/7, 7/7, 1/7, 2/7

To identify the fractions that sum to 1, we need to find a pair of fractions whose numerators (the numbers on top) add up to the same value as their denominators (the numbers on the bottom).

In this case, the fractions 2/7 and 5/7 meet this criterion.

When we add the numerators 2 and 5, we get 7.

Similarly, when we add the denominators 7 and 7, we also get 7.

So, 2/7 + 5/7 equals 7/7, which simplifies to 1.

Thus,

The fractions 2/7 and 5/7 sum to 1.

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The complete question:

Circle the two fractions that, when added together, sum to 1, from the following options:

a) 2/4, 5/7, 7/1, 2/7

b) 6/2, 3/6

c) 516/116, 215/5, 8/12, 12/12

Step-by-step explanation:

x = 3y

or y = x/3

bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.

Given

Last year Karen biked 303 miles

This year she hiked b miles

Find

expression for the total number of miles she biked

Explanation

Total number of miles she hiked = Last year miled + this year miles

so ,

Final Answer

Therefore , expression for the total number of miles she biked is 303 + b

Answer:

2 1/4 of lemonade left

Step-by-step explanation:

Answer:

Step-by-step explanation:

Juan had 2 3/4 cups of lemonade, so to find out how much lemonade he had left, you can subtract that amount from the original amount of 5 cups:

5 cups - 2 3/4 cups = 2 1/4 cups

Therefore, Juan had 2 1/4 cups of lemonade left.

Hi there!

\(\huge\boxed{\text{22 cm}}\)

We know that:

Area of a rectangle = l × w

The areas are the same, so:

3x · 4 = 6(3x - 2.5)

Simplify:

12x = 18x - 15

Solve for x:

15 = 6x

x = 2.5

Plug in this value of x to find the perimeter of rectangle B:

P = 2l + 2w

l = 6

w = 3(2.5) - 2.5 = 5

P = 2(6) + 2(5) = 22 cm

Answer:

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

Area of square with side of 5 mm is:

Find total area of the figure:

Find the percent value of the ratio of areas of the square and full figure, which determines the probability we are looking for:

This is matching the choice C.

Answer:

Answer is 18

Step-by-step explanation:

OK please follow me friends

Answer:

The answer is definitely A.

If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

It is given in the question that the model of an aircraft is 3/5th the length of the original plane.

So, Let the length of the original plane be x feet.

According to the question

3/5th of x is 24.96

\(x\times\frac{3}{5} =24.96\)

Multiplying both sides by 5

3x=24.96*5

3x=124.8

Dividing both sides by 3

x=124.8/3

x=41.6

Hence , the value of x is 41.6 feet.

Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

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1) The relation in the right is not a function.

2) domain

D: {-60, 20, 70}

range

R: {-6, 3, 2, 5}

3) Angelo is correct.

A function is a relation that maps elements from one set called the domain into another set called the range, such each element from the domain is mapped into only one of the elements of the range.

Thus, if an element of the domain is being mapped into two or more elements of the range, then the relation is not a function.

1) If you look at the relationship in the right, you can see that the input -60 is being mapped into two different outputs, this, it is not a function.

2) The domain is the set in the left:

D: {-60, 20, 70}

And the range is the set in the right side:

R: {-6, 3, 2, 5}

3) Angelo is correct, functions are relations,  but not all relations are functions, only the relations that meet the condition written above.

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the last one is- 5/6  0.8333 %0.8333

3/5   0.6  %0.6

1/5  0.2   %0.2

1/4 0.25 %0.25

Hope this helps you!! :)

Answer:

Step-by-step explanation:

The answer would be O C. (x-2)(x-1)

xD

When rolling a number cube four times, the probability of obtaining an even number in three of the four rolls is 1/4.

To calculate the probability that a number cube will land on an even number three out of four rolls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes when rolling a number cube four times is 6^4, which is equal to 1,296. This is because each roll has six possible outcomes (numbers 1 to 6), and the rolls are independent events, so we multiply the number of outcomes for each roll.

Now, let's consider the favorable outcomes. We want the cube to land on an even number three out of four times. There are two cases that satisfy this condition: either the first, second, and third rolls are even, or the second, third, and fourth rolls are even.

Case 1: First, second, and third rolls are even.

The probability of rolling an even number on a single roll is 3/6, or 1/2 since there are three even numbers (2, 4, and 6) out of six total numbers on the cube.

So, the probability of the first, second, and third rolls being even is (1/2) * (1/2) * (1/2) = 1/8.

Case 2: Second, third, and fourth rolls are even.

Again, the probability of rolling an even number on a single roll is 1/2.

So, the probability of the second, third, and fourth rolls being even is (1/2) * (1/2) * (1/2) = 1/8.

Now, we need to add the probabilities from both cases because we are interested in the probability of either of these events occurring:

1/8 + 1/8 = 2/8 = 1/4.

Therefore, the probability that the cube will land on an even number three out of four rolls is 1/4.

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The angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

In this question,

A normal vector to the plane is any vector that starts at a point in the plane and has a direction that is orthogonal (perpendicular) to the surface of the xy plane .

The magnitude of the xy plane, hypotenuse = 25 units

The x component of the xy plane, base = 12 units

Let θ be an angle, then the angle it makes with the positive x axis is

\(\theta = cos^{-1}(\frac{base}{hypotenuse} )\)

⇒ \(\theta = cos^{-1}(\frac{12}{25} )\)

⇒ \(\theta = cos^{-1}(0.48)\)

⇒ \(\theta = 61.3145\)

Hence we can conclude that the angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

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Answer:

A

Step-by-step explanation:

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

The percent error of Jack's measurement was 3.6%, to the nearest tenth of a percent. This is calculated by subtracting the actual length (16.6 inches) from the measured length (17.2 inches) and dividing by the actual length, then multiplying by 100.

Step-by-step explanation:

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Answer:

12,800

Step-by-step explanation:

20% of 20000 is 4000

20000-4000=16000

20% of 16000 is 3200

16000-3200=12,800

Answer: 4<y

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

105/7

15

Hope It Helps

The cost of one daylily is $2.

The cost of one geranium is $1.

Let x be the cost of one daylily and y be the cost of one geranium. We can set up the following system of equations:

```

x + 3y = 12

10x + y = 33

```

We can solve this system of equations by multiplying the first equation by -10 and adding it to the second equation. This gives us:

```

9x = 21

x = 2

```

Substituting this value into either of the original equations, we can solve for y:

```

2 + 3y = 12

3y = 10

y = 3.33

```

Therefore, the cost of one daylily is $2 and the cost of one geranium is $1.

Here is a table showing the steps involved in solving the system of equations:

| Equation | Step | Result |

|---|---|---|

| x + 3y = 12 | Multiply by -10 | -10x - 30y = -120 |

| 10x + y = 33 | Add the two equations | -29y = -87 |

| y = -87 / -29 | Divide both sides by -29 | y = 3 |

| x + 3(3) = 12 | Substitute y = 3 into the first equation | x + 9 = 12 |

| x = 2 | Subtract 9 from both sides | x = 2 |

As you can see, the solution to the system of equations is x = 2 and y = 3. This means that the cost of one daylily is $2 and the cost of one geranium is $1.

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The number of possible values that can be assigned to the type "logic" is 2, and the correct answer is option c.2.

In logic, the type "logic" refers to a variable or proposition that can take on one of two possible values: true or false.

These values are commonly denoted as 1 (true) and 0 (false), or alternatively as "T" and "F".

Since the type "logic" can only have two possible values, the correct answer is option c.2.

There are no other valid values for this type.

It is important to note that in some programming languages or systems, additional representations or extensions of logic may exist.

For example, some languages may include a "null" or "undefined" value in addition to true and false.

However, in the context of a basic logic type, the number of possible values remains restricted to two: true and false.

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Step-by-step explanation:

y - 4x = 3

Writing in slope intercept form that is y = mx + c

y = 4x + 3

Hope it will help :)

Answer: y=4x+3

Step-by-step explanation:

And four to both sides and the left side is left with y and the right side is left with 4x+3

\(2^{10}\cdot 2^{15}\implies 2^{10+15}\implies 2^{25}\implies 2^{5\cdot 5}\implies (2^5)^5\implies {\Large \begin{array}{llll} 32^5 \end{array}}\)

Answer:

Step-by-step explanation:

so we are told that he deposited 7/9 of  his money.  that mean the remaining is  2/9.   because 9/9 - 7/9 = 2/9   get it?

we are also told that 2.50 = 2/9 of his pay

so use that info to find the total pay

also using my calculator tells me that 2/9 = 0.22222222222222222222

knowing that,  we can divide 2.50 by 0.222222222222

2.50 / 0.2222222222  = 11.25

we now know that  2.50 is 0.222 of  11.25

if you want to check your answer just multiply 11.25 x .222222222  to see if you get 2.50

Do you understand?