a section in a stadium has 24 seats in the first row, 29seats in the second row. increasing by 5 seats each row for a total of 34 rows. how many seats are in this section of the stadium

The expression to model the amount of the file downloaded is:

D = (t(t + 1))/2 - 1

Here, we have,

To model the amount of the file downloaded over time, we can observe that the pattern of the downloaded kilobytes follows a specific pattern. Notice that the amount of the file downloaded is increasing by 1 kilobyte every minute, and the starting point is at 0 kilobytes.

Based on this pattern, we can represent the amount of the file downloaded as a quadratic function of time (minutes).

Let's denote the amount of the file downloaded as D and the time in minutes as t.

Since the amount of the file downloaded is increasing by 1 kilobyte every minute, we can express it as the sum of the consecutive positive integers.

The sum of the first n positive integers can be given by the formula (n(n + 1))/2.

In this case, we want to find an expression that represents the sum of the first n positive integers, where n represents the time in minutes. However, since the starting point is 0 kilobytes downloaded, we need to subtract 1 from the sum to account for this.

Therefore, the expression to model the amount of the file downloaded is:

D = (t(t + 1))/2 - 1

This expression represents the sum of the first t positive integers, subtracting 1 to account for the starting point at 0 kilobytes downloaded. It will give us the amount of the file downloaded at any given time t in minutes.

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The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Answer: It's good to think about things before doing them because it is more thought out and you have a better chance of getting things correct whereas without thinking your most likely going to get it wrong. Without thinking through your options you are basically guessing the answer. I hope this helped you have a great day and god bless you :D

Answer:

45.67 x 32.58 = 1487.9286.

Step-by-step explanation:

Answer:

The answer is 1,487.9286

Step by Step:

take your equation and type it into a calculator, that gives you the answer.

Answer:

  x = -8/7

Step-by-step explanation:

You want the zero(s) of the rational expression (7x²+29x+24) /(5x²+ 19x+12).

The zeros will be the values of x that make the numerator of the simplified form of the expression be zero.

  \(\dfrac{7x^2+29x+24}{5x^2+19x+12}=\dfrac{(x+3)(7x+8)}{(x+3)(5x+4)}=\dfrac{7x+8}{5x+4}\)

This is zero when ...

  7x +8 = 0

  x = -8/7 . . . . . . . subtract 8, divide by 7

The zero of the rational expression is x = -8/7.

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The probability of getting doubles or a sum of 6, given that at least one die shows 2, is 1/6.

To solve this problem, we need to consider two events: Event A, which represents getting doubles (both dice showing the same number), and Event B, which represents getting a sum of 6.

Getting doubles: There are 6 possible outcomes for doubles (1-1, 2-2, 3-3, 4-4, 5-5, and 6-6) out of the total 36 possible outcomes when rolling two dice (6 outcomes for the first die multiplied by 6 outcomes for the second die). Therefore, the probability of getting doubles is 6/36, which simplifies it to 1/6.

Getting a sum of 6: There are five possible outcomes that give a sum of 6: (1-5, 2-4, 3-3, 4-2, and 5-1). Again, considering the total of 36 possible outcomes, the probability of getting a sum of 6 is 5/36.

Now, we need to find the probability of getting doubles or a sum of 6, given that at least one die shows 2. This means we have three favorable outcomes: (2-2 for doubles, 1-5, and 2-4 for a sum of 6), out of a total of 11 possible outcomes where at least one die shows 2.

To calculate the probability, we divide the number of favorable outcomes (3) by the total number of possible outcomes (11), resulting in a probability of 3/11.

Therefore, the final probability of getting doubles or a sum of 6, given that at least one die shows 2, is 3/11, which simplifies to approximately 0.273 or 27.3%.

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Answer:

it would be like 4 dollars and like 30 cents

Step-by-step explanation:

Answer:

The value of P(3,3) is 6

Step-by-step explanation:

We have to evaluate P(3,3)

As permutation can be calculated by the formula

Hence, the value of P(3,3) is 6

Answer:

The prize for the first one to brake that glass in the grass during a train moving will get a free VIP pass to the tourtament of cricket, also it will need to bring a towel to dry yourself in the pool included.

Answer:

1. I Will be taking a break from schoolwork today.

2. It is so quiet, I can hear crickets chirp.

3. The sun will soon dry up the puddles.

4. The frog hopped away when I ran towards it.

5. The sheep grazed on the grass.

6.The prize for the competition was $20.

7. I have to walk to campus because I missed the train.

Step-by-step explanation:

Also tag the question as English not math.

The  probability that a randomly selected person who tested positive for the flu is vaccinated is 48.95%

Given,

The table is as follows:

                                 Pos.              Neg.                Total

Vaccinated                465                771                   1236

Not vaccinated         485                 600                 1085  

Total                           950               1371                   2321

We have to find the  probability that a randomly selected person who tested positive for the flu is vaccinated.

Here,

Number of persons tested positive who is vaccinated = 465

Number of persons tested positive who is not vaccinated = 485

Total number of persons tested positive = 465 + 485 = 950

Now, the probability that a randomly selected person who tested positive for the flu is vaccinated = 465/950 = 0.4895 = 48.95%

That is,

The probability that a randomly selected person who tested positive for the flu is vaccinated is 48.95%

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Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

Answer:

\(y = - 2 \\ x = - 2\)

Step-by-step explanation:

\( - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2\)

Now you can write the 1st equation like this.

\( - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3\)

Now simply Solve the 3rd equation

\( - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2\)

Now replace y as 2 in the 2nd equation like this

\(y = x \\ - 2 = - 2\)

Now let's check whether the answer correct or wrong

\( - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16\)

Yes, the answer is correct

hope this helps you !!

The value of the car after 2 years is ₹ 3,02,400.

After one year, the car's value decreased by 20%.

To find the new value, we need to multiply the original cost by

\((100\% - 20\%) or 80\%.\)

So, the value of the car after one year is

\(4,20,000 \times 0.8 = 3,36,000.\)

For the second year, the car's value decreased by 10%.

Again, we need to multiply the previous year's value by

\((100\% - 10\%) or 90\%\).

Therefore, the value of the car after the second year is

\(3,36,000 \times 0.9 = 3,02,400\).

Thus, the value of the car after 2 years is ₹ 3,02,400.

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Answer:

Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.

Answer:

7.5 hours

Step-by-step explanation:

if x is the hours, then

Mario will charge 20x + 15

Luigi will charge 18x + 30

so 20x + 15 = 18x + 30

20x - 18x = 30 - 15

2x = 15

x = 7.5 hours

The correct statement is: "The graphs of the equations intersect each other at two places."

The statement that describes why the system has two solutions is: "The graphs of the equations intersect each other at two places."

In the given system of equations, we have two equations: y = 6x² + 1 and y = x² + 4. To find the solutions of the system, we need to find the points where the graphs of these equations intersect.

The first equation, y = 6x² + 1, represents a parabola that opens upward and has its vertex at the point (0, 1). The second equation, y = x² + 4, also represents a parabola but with its vertex at the point (0, 4).

Since the two parabolas have different vertex points, they intersect each other at two distinct points. These points of intersection are the solutions to the system of equations.

Therefore, the correct statement is: "The graphs of the equations intersect each other at two places."

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According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.

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The net present value of the project is approximately -$33,179.

The net present value (NPV) of the project can be calculated by determining the present value of the cash flows associated with the project and subtracting the initial cost.

To calculate the present value of the cash flows, we discount each cash flow to its present value using the required rate of return of 11%. The cash flows include the annual cost reduction of $121,000, the salvage value of $61,000 at the end of 7 years, and the recovery of working capital of $7,000.

Using the present value formula, the present value of the cash flows can be calculated. Then, we subtract the initial cost of $610,000.

If the net present value is positive, it indicates that the project is expected to generate a return greater than the required rate of return and would be considered a favorable investment. If the net present value is negative, it suggests that the project is not expected to meet the required rate of return and may not be a viable investment.

Performing the calculations, the net present value of the project is approximately -$33,179.

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Answer:

Step-by-step explanation:

add all of them up,  Julie,   6 + 12 + 3 + 4 = 25  

there are 25 total students.  now divide each of the number of people that speak that language by the total students

6/25 = .24 = 24%

12/25= .45 = 48%

3/25 = .12 = 12%

4/25 = .16 = 16%

Also, if you want to just check,  see if the percentages add to 100%

Using the relative frequency concept, it is found that the relative frequencies for students speaking each language is:

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

A relative frequency of a to b is a/b, that is, the number of desired outcomes divided by the number of total outcomes.

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

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All of the given questions(#65 to #70) are AP(s).

Formula to be used: a(n) = a(1) + (n - 1)d

Pronounced as:

nth term = 1st term + (n - 1)d, where d is the common difference.

*d = difference of any two consecutive terms.

65):

1st term = 2, d = 6 - 2 = 4

Therefore,

11th term = 2 + (11 - 1)4 = 42

66):

1st term = 5, d = 15 - 5 = 10

Therefore,

16th term = 5 + (16 - 1)10 = 155

67):

1st term = 19, d = 39 - 19 = 20

Therefore,

21st term = 19 + (21 - 1)20 = 419

68):

1st term = 8, d = 38 - 8 = 30

Therefore,

36th term = 8 + (36 - 1)30 = 1058

69):

1st term = 1/2, d = 1 - 1/2 = 1/2

Therefore,

101st term = 1/2 + (101 - 1)1/2 = 101/2

70):

1st term = 0.75, d = 1.50 - 0.75 = 0.75

Therefore,

151st term = 0.75 + (151 - 1)(0.75) = 113.25

The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

-2.5

Step-by-step explanation:

You do distributive property first and get 12-8p= -12p + 2. You add 12 to -8p an -12p and get 12+4p= 2. Subtract 12 from 2 and get -10. Divide -10 by 4 and get -2.5.

Answer:

-2.5

Step-by-step explanation:

Suppose that the number u were thinking about is x thus :

\( \frac{1}{4} x + \frac{1}{2} x = 12 \\ \)

Multiply both sides by 4

\(4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ \)

\(x + 2x = 48\)

\(3x = 48\)

Divide both sides by 3

\( \frac{3x}{3} = \frac{48}{3 } \\ \)

\(x = 16\)

92% of employees left the building in one minute. The fire drill procedure meets the policy.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

A company has 50 employees all working in the same building. As part of their safety procedures, a fire drill is carried out with the total number of employees who have left the building recorded every 10 seconds.

The cumulative frequency when time is at 60 seconds will be 46.

Then the percentage is given as,

P = (46/50) x 100

P = 0.92 x 100

P = 92%

92% of employees left the building in one minute. The fire drill procedure meets the policy.

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Volume = rule area × height

__________________________

The rule is circle and the area of the circle finds using following formula :

Circle area = pi × radius^2

Circle area = 3.14 × 1^2

Circle area = 3.14

___________________________

Volume = 3.14 × 10

Volume = 31.4 in^3

The volume of cylinder having diameter 1 inches and height be 10 inches be 31.4 cubic inches.

Volume is amount of substance a container can hold in its capacity. Volume of cylinder is π\(r^{2} h\) in which r is radius and h is height of cylinder.

We have been given that the diameter of cylinder be 2 inches and height be 10 inches.We have to find the volume of cylinder.

Volume of cylinder=π\(r^{2} h\)

Radius=2/2

=1 inch

Now put the value of radius and height in the formula of volume.

Volume=3.14*1*10

=31.4 cubic inches.

Hence the volume of cylinder is 31.4 inches.

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Answer:

The answer will be A

hope this helps :)