The function f(x) = 0.4x² – 36x +1000, models the number of accidents, f(x), per 50 million

miles driven as a function of a driver's age, x, in years, for drivers from ages 16 through 74, inclusive. Use the given function to find and interpret f (50). Interpret means to use a sentence to

state the answer.

Answer:

75435912

Step-by-step explanation:

1495486+73940426

= 75435912

Answer:

75,435,912

Step-by-step explanation:

=> 1495486 + 73940426

Using Calculator

=> 75,435,912

Answer:

139.25 m²

Step-by-step explanation:

Area  of the square = 10 * 10 = 100 m²

Radius of the semicircle = 5 m

Area of the semicircle = π(5)²/2 = 39.25 m²

Total area = 100 + 39.25 = 139.25 m²

The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

Find out more on emergency fund at https://brainly.com/question/16166117

#SPJ1

Answer:

306

Step-by-step explanation:

The number of rows times the number of seats in each row is equal to the stadium chair. Using this, 9 rows of seats with 18 seats in each row is 9(18)  and 6 rows with 24 seats in each row is 6(24). Now we add 9(18) + 6(24), which is 162 + 144 which is 306 seats

Answer:

the pre-image is ( -4, 0)

Step-by-step explanation:

Simply apply the appropriate transformation to each coordinate by using the information they give you:

x was converted via the transformation x -1 leading to the value -5,

so we write:

x - 1 = -5

and solve for x:

x = -5 + 1 = -4

y was converted via the transformation y + 2 leading to the value 2, so we write:

y + 2 = 2

and solve for y:

y = 2 - 2 = 0

Therefore the pre-image of the point is: ( -4, 0)

To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.

To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.

In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.

Learn more about polygons at: https://brainly.com/question/24464711

#SPJ1

Answer:

\(\alpha =1.76\ rad/s^2\)

Step-by-step explanation:

Given that,

Initial angular speed of the skater, \(\omega_i=4.5\pi\ rad/s\)

Final angular speed of the skater, \(\omega_f=7.2\pi\ rad/s\)

Time interval, t = 4.8 s

We need to find her average angular acceleration  during this time interval. Let \(\alpha\) be the average acceleration of the skater. So,

\(\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2\)

So, her angular acceleration is \(1.76\ rad/s^2\).

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006

#SPJ1

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

To solve more questions on functions & equations, visit the link-

https://brainly.com/question/29014197

#SPJ9

Answer:

Solution

Solution

=-6

Step-by-step explanation:

should be correct.. I hope.

Step-by-step explanation:

64 crayons school order 25 for the art class there are 5 art class they should be share evenly

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

Learn more about probability, here https://brainly.com/question/30034780

#SPJ4

Step-by-step explanation:

i hope this will help you!

The polynomial function for the number of ships in thousands that visited the port in a given year is

The polynomial is found by substituting the values of x and the function that has same value as in the table is the correct function

The function P(x) = 2.3x² + 0.2x + 1.8 gave the correction option, this can be ascertained using

x = 1

P(1) = 2.3 * 1² + 0.2 * 1 + 1.8 = 4.2

x = 2

P(2) = 2.3 * 2² + 0.2 * 2 + 1.8 = 8.2

x = 3

P(3) = 2.3 * 3² + 0.2 * 3 + 1.8 =  14.1

Learn more about polynomials at:

https://brainly.com/question/15702527

#SPJ1

Answer:

A) 60 that's i know !!!

Step-by-step explanation:

A) 60

Answer: Based on the given figure above, we can conclude that the triangle is an isosceles triangle. By definition, an isosceles triangle is a triangle that has at least two equal sides. Since this is an isosceles triangle, 8x-10 =6x. Now we can solve for x. So,

8x-10 =6x

8x-6x = 10

2x =10

x= 5.

Therefore, the value of x in the figure is 5. Hope this is the answer that you are looking for.

1. 30

2. 14

3. 6

4. 1

5. 2

6. 7×(x+2)=56

x+2=56/7

x=8-2

x=6

7. 12÷(x-2)=3

x-2=3×12

x-2=36

x=36+2

x=38

8. (7+5)×x=36

12×x=36

x=36÷12

x=3

9. (7-5)×x+3=7

(7-5)×x=7-3

2×x=4

x=4÷2

x=2

10. (8÷2)+(6×2)

=4+12

=16

11. 4×4=16

12. 16÷4=4

The number of sides of the polygon, is 5

The perimeter of an object is the outer boundary length, is calculated by adding all its sides.

Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,

Let the number of sides of the polygon be x,

Therefore,

(15b-4)x = 75b-20

x = 75b-20 / 15b-4

x = 5(15b-4) / 15b-4

x = 5

Hence, the number of sides of the polygon, is 5

Learn more about perimeter, click;

https://brainly.com/question/6465134

#SPJ9

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

Learn more about the surface area of revolutions here:

https://brainly.com/question/32268747

#SPJ1

The inequality 5m - 7 > 16 holds true for the values m = 6, 7, 8, 9, and 10, in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

To determine the values for which the inequality 5m - 7 > 16 holds true, we can solve it algebraically and then check if each value in the given set satisfies the inequality.

Let's solve the inequality:

5m - 7 > 16

Adding 7 to both sides, we have:

5m > 23

Dividing both sides by 5, we get:

m > 23/5

Now we need to check if each number in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} satisfies the inequality m > 23/5.

For m = 1:

1 is not greater than 23/5, so the inequality does not hold true.

For m = 2:

2 is not greater than 23/5, so the inequality does not hold true.

For m = 3:

3 is not greater than 23/5, so the inequality does not hold true.

For m = 4:

4 is not greater than 23/5, so the inequality does not hold true.

For m = 5:

5 is not greater than 23/5, so the inequality does not hold true.

For m = 6:

6 is greater than 23/5, so the inequality holds true.

For m = 7, 8, 9, and 10:

All these values are also greater than 23/5, so the inequality holds true for them as well.visit

For more such question on inequality visit:

https://brainly.com/question/30238989

#SPJ8

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

Learn more about Relative Maximum and Minimum here:

https://brainly.com/question/29158306

#SPJ1

where x is the missing angle,

we can solve the operations and find x

so the right value is 67, option B

Answer:

19,2000

Step-by-step explanation:

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

For more such questions on homework

https://brainly.com/question/28521601

#SPJ8

Answer:

540

Step-by-step explanation:

Increasing by 8 1/3% is basically multiplying by 108.33...%

therefore, you get:

585=108.33333333333% * x

x=540

Let the number be x

Given that x is increased by 15% gives 161

Answer:

3-4/5=2.2

hope it helps

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(5\frac{7}{10}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the answer...}}\\\\6\frac{1}{2}-\frac{4}{5} \\-------------\\6\frac{1}{2} = \frac{13}{2} \\\\\frac{13}{2} - \frac{4}{5}\\\\LCM(2,5): 10\\\\\frac{13}{2} =\frac{13*5}{2*5} =\frac{65}{10}\\\\\frac{4}{5}=\frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{65}{10}-\frac{8}{10}\\\\ \frac{57}{10}\\\\\frac{57}{10}\rightarrow\boxed{5\frac{7}{10}}\)

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The Lagrange error bound shows that |f(x) - P(x)| ≤ (1/20) * |x-1|^4 and since g(x) = f(x) - P(x) has a local minimum in the interval (0,1) that is less than zero, it follows that f(0) is negative.

The Lagrange form of the remainder in the Taylor series expansion of a function f about x = a is given by:

R_n(x) = (f^(n+1)(c))/(n+1)! * (x-a)^(n+1)

where c is some number between x and a.

In this problem, we are given the third-degree Taylor polynomial for f about x=1 as,

P(x)=6−5(x−1)^2+4(x−1)^3

To find an upper bound for the error between P(x) and f(x) on the interval [0,1], we need to find an upper bound for |f^(4)(x)| on this interval.

Given that |f^(4)(x)| ≤ 6 for all x on the interval [0,1], we can use the Lagrange error bound formula to estimate the maximum possible error between P(x) and f(x) on this interval:

|f(x) - P(x)| ≤ (M/(n+1)) * |x-a|^(n+1)

where M is an upper bound for the absolute value of the (n+1)th derivative of f on the interval [a,x].

For the given problem, we have n=3, a=1, and M=6, so the Lagrange error bound formula becomes:

|f(x) - P(x)| ≤ (6/4!) * |x-1|^4 = (1/20) * |x-1|^4

Consider the function g(x) = f(x) - P(x). If g(0) is negative, then we are done. Otherwise, we need to show that g(x) has a local minimum in the interval [0,1] that is less than zero.

Taking the first derivative of g(x),

g'(x) = f'(x) - P'(x)

Taking the second derivative of g(x),

g''(x) = f''(x) - P''(x)

Since P(x) is a third-degree polynomial, its second derivative is a constant, which is 20.

g''(x) = f''(x) - 20

Since g''(x) is the difference between f''(x) and a positive constant, it follows that g''(x) is negative whenever |f''(x)| < 20.

Since |f''(x)| ≤ 6 for all x in the interval [0,1], it follows that g''(x) is negative on this interval. Therefore, g(x) has a local maximum at x=0 and a local minimum at some x in the interval (0,1). Since g(0) is positive and g(x) approaches zero as x approaches 1, it follows that g(x) must have a local minimum in the interval [0,1] that is less than zero.

To know more about derivatives, here

brainly.com/question/27137596

#SPJ4

Answer:

The travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.

Step-by-step explanation:

We are given that the average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes.

Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.

Let X = the distribution of travel time

The z-score probability distribution for the normal distribution is given by;

                               Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = average travel time = 17 minutes

            \(\sigma\) = standard deviation = 4.5 minutes

So, X ~ Normal(\(\mu=17, \sigma^{2} =4.5^{2}\))

Now, we have to find the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times, that means;

            P(X < x) = 0.08      {where x is the required travel time}

            P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-17}{4.5}\) ) = 0.08

            P(Z < \(\frac{x-17}{4.5}\) ) = 0.08

In the z table the critical value of z that represents the below 8% of the area is given by -1.43, that is;

                         \(\frac{x-17}{4.5}=-1.43\)

                         \({x-17}{}=-1.43\times 4.5\)

                         x = 17 - 6.435 = 10.6 minutes

Hence, the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.

The mean mass per bag is 99 kilograms.

The mode is the value that appears most frequently in a dataset. In the given dataset of bag masses, the mode would be the mass value that occurs most often. Let's find the mode.

The masses of the bags are:

90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102, and 105.

To find the mode, we can simply count the frequency of each mass value and identify the one that appears most often:

90 appears twice

94 appears three times

96 appears two times

98 appears two times

99 appears four times

102 appears three times

105 appears three times

91 appears once

Therefore, the mode in this dataset is 99, as it appears most frequently.

To calculate the mean mass per bag, we need to sum up all the masses and divide by the number of bags. Let's calculate it:

Sum of masses = 90 + 94 + 96 + 98 + 99 + 102 + 105 + 91 + 102 + 99 + 105 + 94 + 99 + 90 + 94 + 99 + 98 + 96 + 102 + 105

Sum of masses = 1980

Number of bags = 20

Mean mass per bag = Sum of masses / Number of bags

Mean mass per bag = 1980 / 20

Mean mass per bag = 99 kilograms

Therefore, the mean mass per bag is 99 kilograms.

For more such questions on mean , Visit:

https://brainly.com/question/130657

#SPJ11