Consider the function f(x) = 4³x + 7x² + 2x + 1 with derivative f'(x) = 12x² + 14x + 2 Find the intervals where f(x) is increasing and/or decreasing.

Answer:

Step-by-step explanation:

640

the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

The additional information that would be sufficient to prove that quadrilateral ABCD is a parallelogram is AC ⊕ BD.

In order to prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. Given that sides AB and DC are already stated to be parallel, we need to establish the parallelism of the other pair of sides.

The symbol "⊕" represents the operation of taking the vector sum of two line segments. If we have AC ⊕ BD, this implies that the vector sum of AC and BD is zero, which indicates that the line segments AC and BD are collinear and have the same direction.

Since collinear line segments with the same direction are parallel, if we have AC ⊕ BD, we can conclude that sides AC and BD are parallel. With both pairs of opposite sides being parallel (AB || DC and AC || BD), we have sufficient information to prove that quadrilateral ABCD is a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/28854514

#SPJ11

The required volume of Famotidine is 4 mL.

To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:

Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose

We have:

Dosage ordered = 40 mg

Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)

Volume per dose = 2 mL

Let's substitute these values into the formula:

Volume (mL) = (40 mg / 20 mg) * 2 mL

Simplifying the expression:

Volume (mL) = 2 * 2 mL

Volume (mL) = 4 mL

To know more about volume refer here:

https://brainly.com/question/30030582#

#SPJ11

Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

To know more about matrix here.

https://brainly.com/question/28180105

#SPJ4

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus (1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.

P(X > Y) = 1 - P(X ≤ Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2 = e^(-(λ1 + λ2)t)/2

1. P(X > Y) = 1 - P(X ≤ Y)

2. P(X ≤ Y) = P(X ≤ Y ∩ Y ≤ X)

3. P(X ≤ Y ∩ Y ≤ X) = P(X ≤ Y)P(Y ≤ X) (Since X and Y are independent)

4. P(X ≤ Y) = 1 - P(X > Y)

5. P(Y ≤ X) = 1 - P(Y > X)

6. P(X > Y) = 1 - P(X ≤ Y)P(Y ≤ X)

7. P(X > Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2

8. P(X > Y) = e^(-(λ1 + λ2)t)/2

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y. Since X and Y are independent, the probability of X being less than or equal to Y and Y being less than or equal to X is equal to the product of the probabilities of X being less than or equal to Y and Y being less than or equal to X. The probability of X being less than or equal to Y is equal to 1 minus the probability of X being greater than Y, and the probability of Y being less than or equal to X is equal to 1 minus the probability of Y being greater than X. Therefore, the probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus \((1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.\)

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.

The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.

It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.

To learn more about investment: -brainly.com/question/15105766

#SPJ11

Answer:

x = 55

Step-by-step explanation:

x+(x+1)+(x+2)=168

3x+3=168

3x=165

x=55

1. E[X1] = 7/2 and var(X1) = 35/12.

3. This statement is false. E(Z²) is the expected

1. Calculate E[X1] and show that var(X1) = 35/12:

The possible outcomes for a single toss are {1, 2, 3, 4, 5, 6}. The probability of each outcome is 1/6 since the die is fair.

The expected value of X1 is given by:

E[X1] = (1/6) x 1 + (1/6) x 2 + (1/6) x 3 + (1/6) x 4 + (1/6) x 5 + (1/6) x 6

      = (1 + 2 + 3 + 4 + 5 + 6)/6

      = 21/6

      = 7/2

To calculate the variance of X1, we need to find E[X1^2] first:

E[X1^2] = (1/6) 1² + (1/6) 2² + (1/6)  3² + (1/6) 4² + (1/6)  5² + (1/6) 6²

       = (1 + 4 + 9 + 16 + 25 + 36)/6

       = 91/6

Now we can calculate the variance of X1:

Var(X1) = E[X1²] - (E[X1])²

       = 91/6 - (7/2)²

       = 91/6 - 49/4

       = (182 - 147)/12

       = 35/12

Therefore, E[X1] = 7/2 and var(X1) = 35/12.

2. Determine and tabulate the probability distribution of Y = [X1 - X2] and show that E[Y] = 35/18:

To calculate the probability distribution of Y, we need to consider all possible outcomes of X1 and X2. Here's a table showing all possible outcomes and their probabilities:

X1      X2      Y = X1 - X2         Probability

 1        1                  0                   1/36

 1        2                  -1                   1/36

 1        3                  -2                  1/36

 6        5                  1                   1/36

 6        6                  0                   1/36

To calculate the expected value of Y, we multiply each value of Y by its corresponding probability and sum them up:

E[Y] = (0 x 1/36) + (-1 x 1/36) + (-2 x 1/36) + ... + (1 x 1/36) + (0 x 1/36)

    = (0 - 1 - 2 - ... + 1 + 0) * 1/36

    = 0

Therefore, E[Y] = 0, not 35/18 as stated in the problem.

3. The random variable Z is defined by Z = X1 - Xx:

a. Ci) E(Z²) = E(Y²)

  This statement is false. E(Z²) is the expected

Learn more about Expected Value here:

https://brainly.com/question/13749480

#SPJ4

Answer:

12 km

Step-by-step explanation:

Using the Pythagorean Theorem, you know that 3^2 + 4^2 = x^2, so 9 + 16 = x^2, which means that x = the square root of 25, which is 5. Then you add all three lengths of the triangle together to get the round trip. 3 + 4 + 5= 12.

The solution is:

Total Surface Area of the Prism=640 square meters

Chris made a mistake in calculating the area of the rectangular base.

Here,

Dimension of the Triangle

Base=16m, Height=15m

Area of the Two triangular Faces =0.5 X 16 X 15 X 2=240 square meters

This is correct

Dimensions of the Rectangles

16m by 8m, 17m by 8m, 17m by 8m

Area of the Rectangular Faces=(17X8)+(17X8)+(16X8)=400 square meters

Total Surface Area of the Prism=240+400=640 square meters

Chris' Error was in calculating the area of the base of the prism as (17 x 8) instead of (16 X 8).

learn more on surface area click :

brainly.com/question/23973712

#SPJ1

complete question:

The diagram represents the net of a triangular prism. Chris wants to find thesurface area.

First, finds the area of the two triangles by calculating 0.5 X 16 X 15 X 2. Next, he finds the area of the three rectangles by calculating 17 X 8 X 3. Finally, he adds the areas of the triangles and rectangles to get a total surface area of 648 square meters. Chris makes an error when finding the surface area. Identify the error Chris makes and explain how to correctly calculate the surface area. answer This is a required question

There are 357 dogs are sold that day.

What is least squares regression line?

The line that best matches a linear connection between two variables in data is called a least-squares regression line because it minimizes the vertical distance between the data points and the regression line.

The given equation is, y = 0.6p + 10.0

The residual for the day when 520 people attended was 35.

So, p = 520.

Plug 520 in the above equation, we get

y = 0.6(520) + 10.0

y = 312 + 10

y = 322

As, people attended was 35

So,

y = 322 + 35

y = 357

Hence, there are 357 dogs are sold that day.

To know more about the least squares regression line, click on the link

https://brainly.com/question/29054351

#SPJ4

Here are two different equations you can use to solve for side m in right triangle MNI:

Pythagorean Theorem:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum.

The equation is:

\(m^2 = MN^2 + NI^2\)

Trigonometric Function (Sine or Cosine):

If you have information about the angles in the triangle, you can use trigonometric functions to find the length of side m.

In this equation, m represents the length of side m, MN represents the length of side MN, and NI represents the length of side NI.

The two equations:

m = MN / sin(I) (using the sine function)

m = MN / cos(M) (using the cosine function)

Here are two different equations you can use to solve for side m in right triangle MNI:

Pythagorean Theorem:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, side m is the hypotenuse. The equation is:

\(m^2 = MN^2 + NI^2\)

Trigonometric Function (Sine or Cosine):

If you have information about the angles in the triangle, you can use trigonometric functions to find the length of side m. For example, if you know the length of side MN and one of the acute angles in the triangle (angle M or angle N), you can use the sine or cosine function. Here are the two equations:

m = MN / sin(I) (using the sine function)

m = MN / cos(M) (using the cosine function)

In these equations, m represents the length of side m, MN represents the length of side MN, and I and M represent the measures of the respective angles in the triangle.

To solve for side m, you need to have at least two known values among the side lengths and angle measures. Once you have these values, substitute them into the appropriate equation and solve for m using basic algebraic operations. Ensure that your calculator is set to the appropriate angle mode (degrees or radians) when using trigonometric functions.

For more such information on: Pythagorean Theorem

https://brainly.com/question/343682

#SPJ11

The annual growth rate in population of 1.2% means that the population is increasing by 1.2% of the current population each year. To find the time it will take for the population to reach 10 billion, we need to use the following formula:P(t) = P0 × (1 + r)^twhere P0 is the initial population, r is the annual growth rate, t is the time (in years), and P(t) is the population after t years.

We can use this formula to solve the problem as follows: Let \(P0 = 7.6 billion, r = 0.012 (since 1.2% = 0.012)\), and P(t) = 10 billion. Plugging these values into the formula, we get: 10 billion = 7.6 billion × (1 + 0.012)^t Simplifying the right side of the equation, we get:10 billion = 7.6 billion × 1.012^tDividing both sides by 7.6 billion, we get:1.3158 = 1.012^tTaking the natural logarithm of both sides,

we get:ln\((1.3158) = ln(1.012^t)\) Using the property of logarithms that ln \((a^b) = b ln(a)\), we can simplify the right side of the equation as follows:ln(1.3158) = t ln(1.012)Dividing both sides by ln(1.012), we get:t = ln(1.3158) / ln(1.012)Using a calculator to evaluate the right side of the equation, we get:t ≈ 36.8Therefore, it will take about 36.8 years for the world's population to reach 10 billion at an annual growth rate of 1.2%.

In conclusion, It will take approximately 36.8 years for the world's population to reach 10 billion at an annual growth rate of 1.2%. The calculation was done using the formula P(t) = P0 × (1 + r)^t, where P0 is the initial population, r is the annual growth rate, t is the time (in years), and P(t) is the population after t years.

To know more about logarithms visit -

brainly.com/question/30226560

#SPJ11

The best interpretation of the intercept in the given LSR model is: a student who scored a 0 on the midterm is expected to score a 60 on the final exam.

The intercept in a linear regression model represents the value of the dependent variable (final exam score) when the independent variable (midterm score) is equal to 0. In this case, when the midterm score is 0, the LSR model predicts that the final exam score will be 60.

Therefore, option (a) is the correct interpretation of the intercept. It signifies the baseline expectation for a student who didn't perform on the midterm (scored 0) and the anticipated final exam score they would receive (60).

Learn more about intercept here:

https://brainly.com/question/14180189

#SPJ11

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

\(\hat y =1.7 +1.48t\)

Weight of the kitten after 10 weeks

\(\hat y =1.7 +1.48\times 10\)

\(\hat y =16.5\) pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

Answer:

3.8

Step-by-step explanation:

Equation is: 2(8.3)+?+3.8=24.2

I might have gotten the Equation wrong sorry lol

The distance between them is at most the diagonal of the smaller square, which is √2/2 units. The two points selected are within √2/2 units of each other, as required.

To show that at least two of the five points on a unit square are within √2/2 units of each other, we can use the pigeonhole principle.

Divide the square into four smaller squares, each with a side length of 1/2 unit. By the pigeonhole principle, at least two of the five points must lie in the same smaller square.

Consider the two points that lie in the same smaller square.

The distance between them is at most the diagonal of the smaller square, which is √2/2 units.

Therefore, these two points are within √2/2 units of each other, as required.

This argument holds for any five points in a unit square, since we can always divide the square into four smaller squares of side length 1/2 unit.

To know more about pigeonhole principle refer here :

https://brainly.com/question/31687163#

#SPJ11

Step-by-step explanation:

=4+5-6

=9-6

=3d^2

plzzzz mark me brainliest if it helps you then

Answer:

Step-by-step explanation:

im not sure

Therefore, because of this, the average length of the 12 fingers is 116.8/12, or 9.73 cm to 2 DP.

Aside from the mode and median, the mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as mean. The three most popular methods for determining central tendency are the mean, median, and mode.

Here,

Given: The average finger length of seven youngsters is 11.

The average  measures 15 8 cm.

The total lengths involved are

7*9.4 + 5*10.2,

which comes to 116.8 cm.

The average length of the 12 fingers is therefore 116.8/12, or 9.73 cm to 2 DP.

Therefore, because of this, the average length of the 12 fingers is 116.8/12, or 9.73 cm to 2 DP.

To know more about mean , visit

https://brainly.com/question/29895356

#SPJ4

Answer:

Step-by-step explanation:

Answer:

First option

Step-by-step explanation:

\(\sqrt[3]{125x^{10}y^{13}}+\sqrt[3]{27x^{10}y^{13}}\\\\\sqrt[3]{125x^{10}y^{13}} = 5x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\\sqrt[3]{27x^{10}y^{13}} = 3x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\=5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\mathrm{Add\:similar\:elements:}\:\\5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\=8x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\\\)

Answer:

this folk will not have a good morning 9

Answer:

120

Step-by-step explanation:

25% and 40% i.e. 0.25 and 0.40

\(12 \div 0.25 \div 0.40 = 120\)

When Val earns $421, the amount deducted from his wages for payroll taxes is $84. This is calculated by multiplying Val's wages by the payroll tax rate of 0.2, which gives the amount of taxes deducted.

Val's employer deducts 20% of his wages in payroll taxes. To find out how much is deducted when Val earns $421, we need to multiply his wages by the payroll tax rate.

Payroll tax rate = 20% = 0.2

Amount of payroll taxes deducted = payroll tax rate x Val's wages

= 0.2 x $421

= $84

Therefore, when Val earns $421, the amount deducted from his wages for payroll taxes is $84. It is important to note that payroll taxes are mandatory deductions from an employee's wages, and they fund various government programs such as Social Security, Medicare, and unemployment benefits.

To learn more about payroll taxes click here: brainly.com/question/29792259

#SPJ11

Answer:

it goes up by 6 over 1 and it starts on the y axis at 5

The value of C from the column value table is C = 40

Given data ,

Let the table be represented as T

where ,

6 B D

10 25 35

A C 56

Now , the ratio of the table values is r = 35 / 56

r = 5 / 8

So , from the proportion , the value of C is

25 = ( 5/8 ) C

Multiply by 8 on both sides , we get

5C = 200

Divide by 5 on both sides ,we get

C = 40

Hence , the proportion is solved and C = 40

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ1