Which is the best strategy when you find too much information.

The function f is continuous on the interval (0,16), and f is twice differentiable except at x=5 where the derivatives are undef

Oliga [24]

Using it's definition, it is found that the function f(x) has a point of inflection at:

A. x = 8 only.

<h3>What are the points of inflection of a function?</h3>

The critical points of a function are the <u>values of x</u> for which:

$f^{\prime\prime}(x) = 0$

Additionally, there has to be a change in the sign of $f^{\prime\prime}(x)$

Researching the problem on the internet, it is found that:

For 0 < x < 5, $f^{\prime\prime}(x) > 0$ .

For x = 5, $f^{\prime\prime}(x)$ is undefined.

For 5 < x < 8, $f^{\prime\prime}(x) < 0$ .

For x = 8, $f^{\prime\prime}(x) = 0$ .

For 8 < x < 12, $f^{\prime\prime}(x) > 0$ .

For x = 12, $f^{\prime\prime}(x) = 0$ .

For 12 < x < 16, $f^{\prime\prime}(x) > 0$ .

The two conditions, $f^{\prime\prime}(x) = 0$ and a change in the signal of $f^{\prime\prime}(x)$ are only respected at x = 8, which is the lone inflection point.

You can learn more about points of inflection at brainly.com/question/10352137

7 0

2 years ago

You are running a multiple regression analysis by hand. You would like to calculate the sums of squares of the residuals. Which

Scilla [17]

The formula for Sums of squares of the residuals (SSR) is attached below.

Therefore, option B is correct:

B. I would calculate the difference between the observed outcome (Y) and the predicted value of Y (Y_hat), square each one of these differences, and add them up.

8 0

3 years ago

Which of the following did Kant determine is essential for ethics

Talja [164]

The thing which Kant determined was essential for ethics is to be truthful and to do unto others as you would have them do unto you.

<h3>What is Ethics?</h3>

This refers to the set of values that are used to guide a person in doing the right thing in any given circumstance.

Hence, we can see that Immanuel Kant, a philosopher was of the opinion that for ethics to thrive, then people must always be truthful and also to follow the golden rule.

Read more about ethics here:

brainly.com/question/13383200

#SPJ1

7 0

2 years ago

A grocery store has two recycling machines

Thepotemich [5.8K]

Answer is 112%

kinda skeptical about my answer but i am going to give it my best shot, sorry if i get it wrong.

In percent-type questions I always go by this formula:

not a % %

original number : 100%

new number : new %

original number × new % = new number × 100%

here, the original numbers are 240 and 180 and the new % is +30% and -10% now let plastic be P and metal be M and let's elaborate this a bit further

plastic:

the first recycling machine took in 240 plastic bottles while the second took in 30% <u>more</u> plastic bottles, what we have to do here is to find out how much bottles the second machine took in as a form of integer, which is the new number; let that new number be X, let's plug this in the formula

$240:100+30\\X:130 \\$

notice: 130 is the new %

$240*130 = 100X\\31200 = 100X\\312=X$

the second machine took in 312 plastic bottles, let's save this answer for later

metal:

the first recycling machine took in 180 metal cans while the second took in 10% <u>less</u> plastic bottles, we do the same thing and find the new number, this time let it be Y:

$180:100-10\\Y=90$

90 is the new % here; also, notice how sometimes you either add or subtract percents, depending on what the problem demands.

$180*90=100Y\\16200=100Y\\162=Y$

Now we can conclude that the first recycling machine took in 240 plastic bottles and 180 metal cans and the second took in 312 plastic bottles and 162 metal cans.

here comes the hardest bit to apprehend and the final part of this problem, "the second machine recycled what percent (%) more items than the first?"

in other words, how much percent did the second machine recycle more.

to find that percent, first we need to add the plastic and metal "items" of both machines individually and turn them into percents: let the first machine be A and second machine be B:

A: 240+180=420

B: 312+162=474

again, using the same formula to find the new percent, let that percent be Z; plugging both A and B respectively:

$420:100\\474:Z$

$420Z=474*100\\420Z=47400\\Z= 112.857$ ≈ 112% more items than the first

now if you check the rounded up 112 and plug it back in to make sure of your answer: $420Z=47400$ you end up getting 47040, since it's rounded up, but when you plug the full 112.857 you get 47399.94, closest to 47400. Tip: when you plug in any value for check up, don't use the rounded up one.

At last, those steps are actually fast, especially with that formula it's so important. the explanation seems intimidating so read it slowly and take your time. if you have any other questions, feel free to ask. also, let me know if you know a faster method to solve this question. <3

4 0

3 years ago

Suppose that the annual federal deficit is $350 billion. Gross domestic product 'gdp', a measure of the size of the economy is $

larisa86 [58]

Based on the information the ratio between the deficit and gdp as a percentage is 2.41%.

<h3>Ratio between the deficit and gdp:</h3>

Using this formula

Ratio between the deficit and gdp=Annual federal deficit/Gross domestic product×100

Where:

Annual federal deficit=$350 billion

Gross domestic product=$14,500 billion

Let plug in the formula

Ratio between the deficit and gdp=$350 billion/$14,500 billion×100

Ratio between the deficit and gdp=2.41%

Inconclusion the ratio between the deficit and gdp as a percentage is 2.41%.

Learn more about ratio between the deficit and gdp here:brainly.com/question/4731320

6 0

2 years ago