Evaluate the requested derivatives: a) g(x) = 3x^3 -8x^2 -2x + 35 Find g'(2). b) k(x) = 1 /x^5 Find k"(1) c) n(x) = (-4x + 2)(3x^2 - 5x + 2) Find n'(0)

Answer:

7 \(\frac{37}{55}\)

Step-by-step explanation:

In order to solve an equation like this, you'll need to find a common denominator for your Fraction.

7 \(\frac{2}{5}\) + \(\frac{3}{11}\)

7 \(\frac{22}{55}\) + \(\frac{15}{55}\)

7 \(\frac{37}{55}\)

Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

If Morris wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be 9.

The t-test would be an inferential statistic that is used to assess whether or not there is a significant variation between the averages for two groups & how they are related.

Some key features of t-test statistics are-

Now, according to the question;

The degrees of freedom of first sample t-test are df=n-1

where n is the sample size.

So, n=10, then df = n-1 = 10-1 = 9.

Therefore, the degree of freedom for the t-test is 9.

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Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

HOPE IT WILL HELP YOU

Answer:

my answer is 11.4

Step-by-step explanation:

solve for the first triangle which has both sides then solve the other

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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Answer:

200

Step-by-step explanation:

Hope this helps. :)

Answer:

the answer is 9$

Step-by-step explanation:

the other guy is waaaay wrong

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 24 muffins cost 46$ how much does 1 muffin cost?

46 : 24 =

1,916666666666667$

(the total cost is 46$ or 48? are you sure?)

Hey there!

It costs about $46 for 24 muffins, so in order to find out the total cost for 1 muffin you have to DIVIDE 46 from 24 or 24 from 46.

So, lets first divide 46 from 24

46 / 24

= 46 ÷ 24

= 46 ÷ 2 / 24 ÷ 2

= 23 / 12

= 1.916667

≈ 1.92

Therefore, your answer is: $1.92

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The general term, an, of the sequence {1, 0, -1, 0, 1, 0, -1, 0, ...} can be expressed as an = sin(πn/2), where n represents the position of the term in the sequence.

To find the general term of the sequence {1, 0, -1, 0, 1, 0, -1, 0, ...}, we can observe that the sequence repeats every four terms: {1, 0, -1, 0}. This suggests a periodic behavior related to the trigonometric function sine.

The sine function, sin(x), takes the values 1, 0, -1, and 0 at certain angles. In this case, we can relate the position of each term in the sequence to the angles for which sin(x) takes these values.

Considering that the sequence starts with 1 at position 1, we can assign n = 1 to the first term. We notice that the position of the term corresponds to the angle in radians, which can be obtained by multiplying n by π/2. Therefore, the general term of the sequence can be expressed as an = sin(πn/2).

Using this formula, we can calculate the value of any term in the sequence by substituting the position n into the formula. For example,

a3 = sin(π ×3/2) = -1, a4 = sin(π ×4/2) = 0, and so on.

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The value of ∠ F L H  is 3x-6°

∠FLG and ∠FLH are adjacent angles with L being the common vertex  and both the angles form the ∠HLG

As ∠FLG is given as 14x + 5° and  ∠ H L G is given as 17 x − 1 °

We need to find the value of ∠ F L H

We can write that ∠FLG +∠FLH = ∠ H L G

by putting the values given

14 x + 5 ° + ∠ F L H  = 17 x − 1 °

∠ F L H = 17x-1 - (14x + 50

Here we got a linear equation in one variable and by solving the equation we will get the value of ∠ F L H

∠ F L H = 17x - 1 - 14x -5

∠ F L H  = 3x-6

Hence, the value of ∠ F L H  is 3x-6°

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The data entry input control that involves summing the first four digits of a customer number to calculate the value of the fifth digit, and then comparing the calculated number to the number entered during data entry, is known as "check digit verification."

Here's a step-by-step explanation of how check digit verification works:
1. Let's say we have a customer number, such as 12345.
2. To calculate the check digit, we sum the first four digits: 1 + 2 + 3 + 4 = 10.
3. The calculated value, 10, is then compared to the number entered during data entry.
4. If the check digit entered by the user matches the calculated value, the data entry is considered valid and accurate.
5. However, if the check digit entered by the user does not match the calculated value, it indicates that an error may have occurred during data entry.
6. In such cases, the system can flag the data entry as potentially incorrect or prompt the user to recheck and correct the entered value.

Check digit verification is commonly used in various industries to ensure the accuracy and integrity of data. It provides a way to quickly identify potential errors during data entry, such as transposed digits or mistyped numbers.

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Answer:x=7

Step-by-step explanation:

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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The hole of f(x) is x = -3.

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = (x + 3) / (x - 4)(x + 3)

Now,

We see that there is a common factor both in the numerator and the denominator.

This means,

There is a hole in f(x).

i.e

x + 3 = 0

x = -3 is the hole.

Thus,

x = -3 is the hole of f(x).

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Answer: x = -3

Step-by-step explanation:

correct on edge :)

To find the domain and range from given points on a graph: the set of all x-coordinates is the input and the set of all y-coordinates is the output.

We know that the domain of function is the set of all possible input values for which the function is well defined.

And the range of function is the set of all possible output values for given input.

To find the domain and range of function we can graphical methhod.

We know that the input values of function are shown on the x-axis and the output values of the function are shown on the y-axis.

This means, the domain of a graph shown on the x-axis. Whereas the range is shown on the y-axis.

To find the domain and range when points on a graph are given:

the set of all x-coordinates would be the domain and the set of all y-coodinates is the range of function.

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2^4×3^2 = 144

___________

Answer:

144 would be the answer.

Step-by-step explanation:

Question:- \(2^{4}\) · \(3^{2}\)

\(2^{4}\) = 2 x 2 x 2 x 2

   = 4 x 2 x 2

   = 8 x 2

   = 16

\(3^{2}\) = 3 x 3

   = 9

So, \(2^{4}\) · \(3^{2}\) = 16 x 19

              = 144

Answer:

m=5/2

Step-by-step explanation:

Answer:

n = 5/6

Step-by-step explanation:

4n - 8 = 3n - (n + 3)

4n - 8 = 3n - n - 3

4n + 3n + n = - 3 + 8

6n = 5

n = 5/6

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

Answer:

\( = { \rm{ \frac{3}{4} \times 20}} \\ \\ = { \rm{ \frac{60}{4} }} \\ \\ = { \boxed{ \tt{ \: \: 15 \: \: }}}\)

Answer:

\(15\)

Step-by-step explanation:

\(20 \times \frac{3}{4} \\ \frac{20 \times 3}{4} \\ \frac{60}{4} \\ = 15\)

Hope this helps you.

Let me know if you have any other questions:-)

\(n = - 1\)

Answer:

a=c/b-d/b

Step-by-step explanation:

Answer:

a=c-d/b

Step-by-step explanation:

We first need to isolate the variable "a" by doing the opposite operation.

1. subtract "d" on both sides

After step 1-     ab=c-d

2. divide both sides by "b" because that is the only way to isolate a permanently

After step 2-     a=c-d/b

The correct option is b) Label.

In a chart, each data point, bar, slice, and so on has a unique label. This label is used to identify and differentiate the different elements within the chart. It provides a clear and concise description of what each element represents.

For example, in a bar chart that shows the sales of different products, each bar would have a label indicating the specific product it represents. This allows the viewer to easily understand which product corresponds to each bar.

The label is crucial in making the chart understandable and meaningful. Without it, the chart would be confusing and difficult to interpret. It helps to provide context and clarity to the data being presented.

While color, size, and position can also be used to distinguish between elements in a chart, they do not provide the same level of specificity as a label. Color, for instance, may be used to represent different categories, but it does not provide specific information about each individual element.

In summary, the unique label assigned to each data point, bar, slice, or other element in a chart is what helps identify and differentiate them. It provides a clear description of what each element represents, making the chart more understandable and meaningful.

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Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer:A

Step-by-step explanation:

The solution involves setting up equations for the accumulated value of the two accounts and equating them at the end of the fourth year and the end of the eighth year. Solving for k gives k = 6.75.

Let the initial deposit made by the student be denoted by X.

After 4 years, the amount in the UENR Credit Union account is X(1+4i) = X(1+4*0.075) = X(1.3).

For the lecturer's account, we need to use the force of interest formula to calculate the accumulated amount after 4 years

A(4) = Xe^∫[0,4] 2t/t²+k dt = X\(e^{2ln(2k+16)-2ln(2k)}\)/2

A(4) = X((2k+16)/2k\()^{1/2}\)

After 8 years, both accounts earn the same amount of interest. Therefore, the amount in the UENR Credit Union account is X(1+8i) = X(1+8*0.075) = X(1.6).

And for the lecturer's account

A(8) = Xe^∫[0,8] 2t/t²+k dt = X\(e^{4ln(2k+32)-4ln(2k)}\)/2

A(8) = X((2k+32)/2k)²

Since the earned is the same for both accounts, we have

X(1.6) - X(1.3) = X((2k+32)/2k)² - X((2k+16)/2k\()^{1/2}\)

Simplifying the above equation gives

0.3X = X[(2k+32)/2k)² - (2k+16)/2k\()^{1/2}\)]

Dividing both sides by X gives

0.3 = [(2k+32)/2k)² - ((2k+16)/2k\()^{1/2}\)]

Squaring both sides and rearranging gives

16k³ - 60k² - 71k - 144 = 0

This cubic equation can be solved using numerical methods or by factoring it using trial and error. After solving, we get

k = 6.75 (approx)

Therefore, the value of k is approximately 6.75.

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The total number of rounds that Hunter played would be = 2 rounds.

The total number of hours he has to spend at the Wally's Game World = 2.5 hours

The number of hours he spent playing arcade games, = 0.25hr

The number of hours he spent on the rest of the games = 2.5-0.25 = 2.25 hours

But each round of golf = 1 hour

The number of round of golf game he played approximately 2 rounds.

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The period of the function in this problem is given as follows:

9 units.

A periodic function is a function that has the behavior repeating over intervals in the domain of the function.

Then the period of the function has the concept defined as the difference between two points in which the function has the same behavior.

Two consecutive peaks of the graph of the function in this problem are given as follows:

Input of 1 and Input of 10.

Hence the period of the function is given as follows:

10 - 1 = 9 units.

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The value 155 is zero standard deviations from the mean, because x = μ , and therefore z = 0.

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

The key concept we need to manage here is the z-scores , and we can obtain a z-score using the next formula:

z = (x - μ)/σ      ..............[1]

Where

z is the z-score.

x is the raw score: an observation from the normally distributed data that we want standardize using [1].

μ is the population mean.

σ is the population standard deviation.

These standardized values have always the same probability in the standard normal distribution, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155.

From the question, we know that:

x = 155.

μ = 155

σ = 50

Having into account all the previous information, we can say that the raw score, x = 155, is zero standard deviations units from the mean. The subject earned a score that equals the population mean. Then, using [1]:

z = (x - μ)/σ

z = (155 - 155) / 50

z = 0/50

z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

x = μ

Therefore, z = 0

So, the value 155 is zero standard deviations from the [population] mean.

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