when rounding to the nearest hundred what is the greatest whole number that rounds to 500

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25.

Given

A group of friends chartered a deep-sea fishing boat out of Destin, FL.

The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip.

An equation between two variables that gives a straight line when plotted on a graph.

The group of 16 people would cost $2,500, so it would be $156.25 for each person.

The group of 10 people would cost 1,300 (I got this from going to 10 on the chart then following it up to the line), so it would be $130 per person.

Then, $156.25 - $130 = $26.25

Hence, the difference in price per passenger for a group of 16 versus a group of 10 is $26.25.

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The system of equations .5(5x + 4) = 17.5x + 14 have Infinite solutions.

We know two simultaneous equations have a unique solution when they intersect at a point,

when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.

Given, A system of equation 3.5(5x + 4) = 17.5x + 14.

17.5x + 14 = 17.5x + 14.

As the LSH and RHS are equal the equation of the two lines is the same and hence they coincide and have an infinite number of solutions.

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The area of the rooftop is 204 square feet

The area of Rectangle is length times of width.

The rooftop is combination of a triangle and rectangle

To find the area we have to find area of rectangle and triangle and then we have to sum both the areas

Area of rectangle =length × width

=18×10

=180 square feet

Area of triangle =1/2 base ×height

=1/2×6×8

=24 square feet

Total area =180+24

=204 square feet

Hence, the area of the rooftop is 204 square feet

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Answer:

Step-by-step explanation:

Answer:

D A B C

Step-by-step explanation:

Greater than means line going right

Less than means line going left

Open circle means no equal to sign

Closed circle means equal to sign

Answer:

22nd term is 81

Step-by-step explanation:

In order to find the answer to this question you have to realize that the common difference is the rule the arithmetic sequence goes by, so all you have to do is add four to three, twenty two times or multiply the first term by

\(a =3\)

\(d=4\)

\(3+4=7+4=11+4=15+4=19+4=23+4=27+4=31+4=35+4=39+4=33+4=37+4=41+4=45+4=49+4=53+4=57+4=61+4=65+4=69+4=73+4=77+4=81\)

\(a=81\)

Hope this helps.

We can use the tangent function to solve this problem. Let h be the height of the skyscraper.

First, we need to find the length of the adjacent side of the right triangle formed by Sadie, the base of the skyscraper, and the point where she is standing. This length is the horizontal distance between Sadie and the base of the skyscraper, which is 275 meters.

Next, we can use the tangent of the angle of elevation to find the ratio of the opposite side (the height of the skyscraper) to the adjacent side:

tan(36°) = h/275

Solving for h, we get:

h = 275 tan(36°)

Using a calculator, we find:

h ≈ 198.64 meters

Therefore, the height of the skyscraper is approximately 198.64 meters.

Answer: 201.49

Step-by-step explanation:

The W=30 J work is done on the object, according to the question.

A constant velocity is a velocity that is constant across time and does not change. A constant acceleration does not alter over time, either. Since it occurs whenever you are traveling in a steady direction at a constant pace, you are accustomed to motion with constant velocity.

According to the question,

it is the rate at which the position changes over time.

Given a constant velocity of v and this equation, the change in location over time is simply: x = v t.

Newton's first law states that unless acted upon by a net external force, an object at rest will remain at rest and an object in motion will continue to move at a constant speed.

Therefore, the required answer is W=30 J.

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When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Given:

The sequence is:

-3, 5, -7, 9, -11,...

To find:

The correct statement about the given sequence.

Solution:

We have,

-3, 5, -7, 9, -11,...

Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.

From the given sequence it is clear that the 4th term is 9. So, option B is correct.

Clearly, 5th terms is -11. So, \(f(5)=-11\) and option C is incorrect.

The domain of a sequence is always the set of natural numbers. So, option D is correct.

In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.

Therefore, the correct options are B, D, E.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer: 0.88 lbs.

Step-by-step explanation:

12/30 = 0.4 (she needs to lose 0.4 kg everyday)

0.4 x 2.2 = 0.88 lbs

The price of the worth of the shoes in 2041 is $836839.63

The geometric summation formula is:

Where P is the initial value, c is the growth of worth by period and N is the times of periods. In this case, the period is in years. 2041-2021=20. Then N = 20

now we calculate c:

The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.

What is an Exponent?

The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.

Calculation of the total number of candies in the store

(36)2 * 30

Using the properties of an exponent, we have

A number with an exponent of 0 always gives 1

(36)2 * 1

(3)6×2 * 1

312 * 1

312

Thus, the total number of candies in the store is 312.

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Answer:

31.25.

Step-by-step explanation:

The value of g(5) can be determined by integrating the given derivative function and using the initial condition g(2) = -7.  The value of g(5) is approximately 57.955.

To find the value of g(5), we need to integrate the derivative function g'(x). The antiderivative of √\(x^3\) + x with respect to x will give us the original function g(x). Let's perform the integration:

∫√\(x^3 + x dx\) = ∫\((x^(3/2) + x) dx = (2/5)x^(5/2) + (1/2)x^2 + C\)

Now, using the initial condition g(2) = -7, we can determine the constant of integration C:

\((2/5)(2)^(5/2) + (1/2)(2)^2 + C = -7\)

Simplifying the equation, we can solve for C:

(8/5) + 2 + C = -7

C = -7 - (8/5) - 2

C = -7 - (16/5) - (10/5)

C = -7 - (26/5)

C = -35/5 - 26/5

C = -61/5

Now that we have the value of C, we can substitute it back into the original function and evaluate g(5):

g(5) = \((2/5)(5)^(5/2) + (1/2)(5)^2 - (61/5)\)

Calculating this expression will give us the value of g(5).

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For c = 6 , the equation 2x - 6 = 2x - c will have no solution because both sides have the same value that is 0.

What is inconsistent pair of linear equations ?

A system of linear equations that has no solution is called an inconsistent pair of linear equations.

We have been given an equation which is 2x - 6 = 2x - c

We have to solve this equation to find out the value of c for which the equation has no solution.

i.e.,

2x - 6 = 2x - c

We need to reorder the terms by adding '-2x' to each side of the equation. So , the equation becomes :

-6 + 2x + (-2x) = -c + 2x + -2x

Combine the like terms on both side of the equation which are : 2x + (-2x) and we get the value 0.

-6 = - c

multiplying by '-1' on both sides :

c = 6

So , If c = 6 , then equation has no solution.

Therefore , for c = 6 , the equation 2x - 6 = 2x - c will have no solution because both sides have the same value that is 0.

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Answer:

its B ok sana makatulong

Step-by-step explanation:

x² x<1

—x²+4x—1 1≤x≤3

x—3 x>3

feel free to leave a comment if still something's confusing.

Answer:

+_6

Step-by-step explanation:

let the possible values be x.

x÷4=9÷x

from that you will get x^2=36

introduce a square root to both sides and the answer is +_6

Answer: B

Step-by-step explanation:

Jen needs \( \frac{3}{4} \) a pound of sunflower seeds to plant in her garden. Since there are 16 ounces in a pound, we can convert \( \frac{3}{4} \) of a pound into ounces by multiplying it by 16.

\( \frac{3}{4} \cdot 16 = 12 \)

Therefore, Jen will need to buy 12 ounces of sunflower seeds to plant her garden.

In summary, to find the number of ounces Jen needs to buy, we first converted \( \frac{3}{4} \) of a pound into ounces by multiplying it by 16. The result is 12 ounces, which is the amount of sunflower seeds she needs to purchase

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Answer:

-50

Step-by-step explanation:

I got it correct on iReady Practice: Multiply and Divide Rational - Practice - Level G.

-5 1/12 x 10

The required change in the position of the drill in one day is given as 50 feet. Option B is correct.

Given that,
A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each day while the temperature is warmest. The drill's position will move 5 1/12 feet every hour it is used.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Drill length  = 5 1 / 12 = 61 / 12 feet per hour
For 10 hours in a day drill length = 61 / 12 [10] = 50.833 or 50 feet.

Thus, the required change in the position of the drill in one day is given as 50 feet. Option B is correct.

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Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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The solution to the differential equation dy/dt=y^2 (8+t), y=4 when t=1 can be found by using the method of separation of variables.

This involves separating the variables y and t on opposite sides of the equation, and then integrating both sides. Here are the steps to solve the differential equation:

1. Separate the variables: dy/y^2 = (8+t) dt
2. Integrate both sides: ∫dy/y^2 = ∫(8+t) dt
3. Solve the integrals: -1/y = 8t + (1/2)t^2 + C
4. Solve for y: y = -1/(8t + (1/2)t^2 + C)
5. Use the initial condition y=4 when t=1 to find the value of C: 4 = -1/(8(1) + (1/2)(1)^2 + C) => C = -9/2
6. Substitute the value of C back into the equation to find the solution: y = -1/(8t + (1/2)t^2 - 9/2)

Therefore, the solution to the differential equation dy/dt=y^2 (8+t), y=4 when t=1 is y = -1/(8t + (1/2)t^2 - 9/2).

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1) the equation is: 3x (9) = -6

2) A math sentence that has an equal sign is called an equation.

1) Note that there are 3 Xs

9 1s and over the equals sign, there are 6  -1s

Hence, you have:

3x (9*1) = 6 *-1

3x (9) = -6

2) A math sentence that has an equal sign is called an equation. An equation is a statement of equality between two expressions, indicating that they have the same value. For example, "2 + 3 = 5" is an equation that states that the sum of 2 and 3 is equal to 5.

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The probability that the sample average amount of time taken on each day is at most 11 min:

P(\(\bar{X_1}\) < 11) =  0.8682

P(\(\bar{X_2}\) < 11) =  0.8897

We know that the formula for the z-score is:

\(z=\frac{x-\mu}{\sigma}\)

Let X be the time taken by a randomly selected applicant for a mortgage to fill out a certain form

\(\mu_x\) = 10

\(\sigma_x\) = 2

Here, five individuals fill out a form on one day and six on another.

This means that the population is the same on both days, but the samples of different sizes.

On Day 1 the average\(\bar{X_1}\) ∼Norm(10, 2/\(\sqrt{5}\))

We find the probability using z-score.

The probability that the sample average amount of time taken on day 1 is at most 11 min:

P(\(\bar{X_1}\) < 11)

=\(P(\frac{\bar{X_1}-10}{(\frac{2}{\sqrt{5} } )} < \frac{11-10}{(\frac{2}{\sqrt{5} } )})\)

= P(z < 1.118)

= 0.8682

Similarly, on Day 2 the average\(\bar{X_1}\) ∼Norm(10, 2/\(\sqrt{6}\))

So the probability that the sample average amount of time taken on day 1 is at most 11 min:

P(\(\bar{X_2}\) < 11)

=\(P(\frac{\bar{X_2}-10}{(\frac{2}{\sqrt{6} } )} < \frac{11-10}{(\frac{2}{\sqrt{6} } )})\)

= 0.8897

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The complete question is:

The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?

Answer:

4

Step-by-step explanation:

the answer is: 4

cause 4 is less than 7