Find the length, L, of the curve given below. y= x∫1√9t ⁴−1dt, 1≤x≤3
L=

A new college graduate in business would have to earn at least $62,798 in order to have a starting salary higher than all starting salaries of new college graduates in the health sciences (to the nearest whole number).

Step 1: Find the median starting salary for college graduates in the health sciences: According to a report published by the National Association of Colleges and Employers (NACE), the median starting salary for college graduates in the health sciences was $53,399 in 2020. So, the median starting salary for health science graduates is $53,399.

Step 2: Find the minimum starting salary for college graduates in business in 2020The report published by NACE states that the minimum starting salary for college graduates in business was $44,000 in 2020. So, the minimum starting salary for business graduates is $44,000.

Step 3: Find the difference between the median salary of health science graduates and the minimum salary of business graduates. We can find this difference by subtracting $44,000 (the minimum starting salary for business graduates) from $53,399 (the median starting salary for health science graduates).

$53,399 - $44,000 = $9,399

Therefore, the difference between the median starting salary for health science graduates and the minimum starting salary for business graduates is $9,399.

Step 4: Add this difference to the median starting salary for health science graduates to get the starting salary for business graduates that is higher than the median starting salary for health science graduates.

$53,399 + $9,399 = $62,798

Therefore, a new college graduate in business would have to earn at least $62,798 in order to have a starting salary higher than all starting salaries of new college graduates in the health sciences (to the nearest whole number).

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Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

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The given nonhomogeneous equation is:

y'' - y = 17t

To find the general solution, we need to find the complementary solution and particular solution separately.

Complementary Solution:

The associated homogeneous equation is:

y'' - y = 0

The characteristic equation for this is:

r^2 - 1 = 0

Solving for the roots, we get:

r = ±1

So the complementary solution is:

y_c(t) = c1e^t + c2e^(-t)

where c1 and c2 are constants.

Particular Solution:

The particular solution is given as:

y_p(t) = -17t

We can substitute this into the nonhomogeneous equation to find the value of the constant:

y'' - y = 17t

(-17)'' - (-17) = 17t

0 + 17 = 17t

t = 1

Therefore, the constant is -17.

So the particular solution is:

y_p(t) = -17t

General Solution:

The general solution is the sum of the complementary solution and the particular solution:

y(t) = y_c(t) + y_p(t) = c1e^t + c2e^(-t) - 17t

where c1 and c2 are constants.

Therefore, the general solution to the given nonhomogeneous equation y'' - y = 17t with particular solution yp(t) = -17t is:

y(t) = c1e^t + c2e^(-t) - 17t

where c1 and c2 are constants.

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Answer: D

Step-by-step explanation: Ping pong ball comes back up and down 3 times before stopping on the graph

Answer: D

Step-by-step explanation: I did the test already.

The Six Sigma process is a quality management approach that aims to reduce the number of defects in a process by identifying and eliminating the causes of variation. True.

It is a data-driven approach that seeks to improve the quality of products or services by reducing variability and increasing process efficiency.

One of the defining characteristics of the Six Sigma process is that it requires the specification limits to be set at least six standard deviations away from the mean of the process.

This means that the process is designed to produce products or services that are within the specifications with a high degree of certainty, as the chances of the output falling outside of the specification limits are very low.

The Six Sigma approach involves several steps, including defining the problem, measuring the process, analyzing the data, improving the process, and controlling the process.

It is a rigorous approach that requires the involvement of all levels of the organization and relies on statistical tools and techniques to identify and eliminate the causes of variation in the process.

The Six Sigma process has been widely adopted by many organizations in various industries, including manufacturing, healthcare, finance, and services, to improve their processes, reduce defects, and increase customer satisfaction.

It has proven to be an effective approach for improving the quality of products and services, reducing costs, and increasing profitability.

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The availability of the web hosting service over the past 100 days is 99.5%.

The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.

We will find the downtime first.

Given that:

Hosting provider has been up 99% of the time, the downtime is:

= 100 days x (1 - 0.99)

= 1 day

The total time that the service should have been available is:

= 100 days x 24 hours/day

= 2400 hours

The availability as the ratio of uptime to total time is

= (2400 - 12) / 2400 x 100%

= 0.995 x 100%

= 99.5%.

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Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

Answer:

19,200 yds²

Step-by-step explanation:

The question is asking for how many square yards of grass is needed

This means that it is looking for the Area.

The formula for area is Length x Width = Area

120 (Length)

160 (Width)

120 x 160 = 19,200

The unit of measurement is yards...

19,200 yds²

I assume it's the moon?

Answer:

garbage and rocks and all sorts of stuff

Step-by-step explanation:

Answer:

3½ cups

Step-by-step explanation:

I did some research online and found the answer which is 3 and a half cups.

Hope this helps let me know if you need anything else

The event of rolling a sum of the numbers uppermost is 6 is E = {(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)}. The correct answer is b.

The event of rolling a sum of the numbers uppermost is 6 can occur in different ways, for example, rolling a 1 on the first die and a 5 on the second, or rolling a 2 on the first die and a 4 on the second, and so on.

The sum of the numbers on the dice is 6 in each of these cases. The set of all possible outcomes of this experiment is the sample space S, which consists of all possible pairs of numbers on the dice, such as (1,1), (1,2), (1,3), ..., (6,5), (6,6).

The event E of rolling a sum of 6 is the set of all pairs of numbers on the dice that add up to 6, which is E = {(1,5), (2,4), (3,3), (4,2), (5,1), (6,0)}.

Option b is the only answer choice that includes all these pairs of numbers, so it is the correct answer.

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Answer:

21

Step-by-step explanation:

Answer:

17ft

Step-by-step explanation:

If Carl touches the bottom with his hand which is 15ft below the surface, and Cameron is standing 2 feet above the surface, all you have to do is add the two together. Cameron's feet are 2 feet above the surface, Carl's hand is 15ft below. 15 + 2 is 17.

Ans is in the attachment

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The sample space of the experiment of rolling three fair coins consists of all possible outcomes when three coins are tossed simultaneously. Therefore, there are 2 x 2 x 2 = 8 possible outcomes in the sample space.

In this experiment, we are rolling three fair coins. To find the number of elementary events in the sample space, we need to consider all possible outcomes.

An elementary event is an individual outcome in the sample space. The sample space is the set of all possible outcomes for an experiment. In this case, each coin can have 2 possible outcomes: heads (H) or tails (T).
Each outcome in the sample space is an elementary event, which is an outcome that cannot be further broken down into simpler outcomes. Therefore, there are 8 elementary events in the sample space of this experiment.

Since there are three coins, we can determine the number of elementary events in the sample space by multiplying the number of outcomes for each coin: 2 (for the first coin) x 2 (for the second coin) x 2 (for the third coin) = 8.

So, there are 8 elementary events in the sample space of this experiment. The correct answer is c. 8.

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Answer:

468

Step-by-step explanation:

You have to do 12x39

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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Answer: 75 women

4x+5x=135

9x=135

divide by

x=15

women 5 times 15 =75

men 4 tines 15 =60

75+60=135



Step-by-step explanation:

Answer:

x=18 y=69

Step-by-step explanation:

3x+5y=399

x+5y=363

2x=36

x=18

18+5y=363

5y=345

y=69

Answer:

the value of the expression is 9 3/5

It looks like the limit you want to compute is

\(\displaystyle \lim_{x\to4} \frac{f(g(x)) - f(4)}{x-4}\)

Since \(g(4)=4\), this limit corresponds exactly to the derivative of \((f\circ g)(x) = f(g(x))\) at \(x=4\). Recall that

\(f'(a) = \displaystyle \lim_{x\to a} \frac{f(x) - f(a)}{x - a}\)

By the chain rule,

\((f\circ g)'(4) = f'(g(4)) \times g'(4) = f'(4) \times g'(4) = 3\times7 = \boxed{21}\)

Since \(g'(4)\) exists, \(g\) is differentiable at \(x=4\) so it must be continuous.

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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The probability of rolling the same number on all three dice can be found by multiplying the probabilities of rolling the same number on each individual die. The probability of rolling the same number on the 6-sided die is 1/6, the probability of rolling the same number on the 8-sided die is 1/8, and the probability of rolling the same number on the 12-sided die is 1/12. Multiplying these probabilities together gives us the probability of rolling the same number on all three dice: (1/6) * (1/8) * (1/12) = 1/576.

The probability of rolling a "4" on one of the dice and it being the 6-sided die can be found by multiplying the probability of rolling a "4" on the 6-sided die (1/6) by the probability of picking the 6-sided die at random (1/3). This gives us a probability of (1/6) * (1/3) = 1/18.

The probability of the smallest number rolled being at least 3 can be found by subtracting the probability of the smallest number being less than 3 from 1. The probability of the smallest number being less than 3 is the probability of rolling a 1 or a 2 on each of the dice: (2/6) * (2/8) * (2/12) = 1/72. Therefore, the probability of the smallest number being at least 3 is 1 - (1/72) = 71/72.

The probability of the product of the three numbers rolled being even can be found by subtracting the probability of the product being odd from 1. The probability of the product being odd is the probability of rolling an odd number on each of the dice: (3/6) * (4/8) * (6/12) = 1/8. Therefore, the probability of the product being even is 1 - (1/8) = 7/8.

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Answer:

n= 9

Step-by-step explanation:

just plug in 9...

9+1= 10

10/10=1

Answer:

The Answer is D.

Step-by-step explanation:

It's all about pattern, you just need to conceived and organize what is the color provided.

The value of log 10 is 1 while the value of log 1.2 is y + x - 1.

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Logarithms even describe how humans instinctively think about numbers.

The value of log 10 = 1 (this is a standard law), it cannot be further broken down

log 1.2 = log (12/10)

log 1.2 = log 12 - log 10

log 1.2 = log (3 x 4) - log 10

log 1.2 = log 3 + log 4 - log 10

but log 3 = y

log 4 = x

and log 10 = 1

Substituting the values

log 1.2 = log 3 + log 4 - log 10

log 1.2 = y + x - 1

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Answer:

use phototmath

Step-by-step explanation:

Therefore, if the 300th day of year N is a Tuesday, the 100th day of year N-1 will be a Sunday.

To determine the day of the week on the 100th day of year N-1, we need to analyze the given information and make use of the fact that there are 7 days in a week.

Let's break down the given information:

In year N, the 300th day is a Tuesday.

In year N+1, the 200th day is also a Tuesday.

Since there are 7 days in a week, we can conclude that in both years N and N+1, the number of days between the two given Tuesdays is a multiple of 7.

Let's calculate the number of days between the two Tuesdays:

Number of days in year N: 365 (assuming it is not a leap year)

Number of days in year N+1: 365 (assuming it is not a leap year)

Days between the two Tuesdays: 365 - 300 + 200 = 265 days

Since 265 is not a multiple of 7, there is a difference of days that needs to be accounted for. This means that the day of the week for the 100th day of year N-1 will not be the same as the given Tuesdays.

To find the day of the week for the 100th day of year N-1, we need to subtract 100 days from the day of the week on the 300th day of year N. Since 100 is a multiple of 7 (100 = 14 * 7 + 2), the day of the week for the 100th day of year N-1 will be two days before the day of the week on the 300th day of year N.

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The measure of the angle PRS is given as follows:

m<PRS = 45º.

As stated in this problem, these following angles are given:

MRQ and and QRN form a ray, hence they are supplementary angles.

For supplementary angles, the sum of the measures is of 180º, hence the measure x of angle QRN is calculated as follows:

142 + x = 180

x = 180 - 142

x = 38º.

The entire diagram forms an angle of 360º, hence:

142 + 38 + 90 + m<MRS = 360º.

270 + m<MRS = 360º

m<MRS = 90º.

The segment PR bisects the angle MRS, dividing into two angles of 90º/2 = 45º, as a bisection of an angle basically splits the angle in half hence these following measures are identified:

The diagram is given by the image at the end of the answer.

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