Help me out guys I’ll give u a star

The critical points of f(x) are (1, f(1)) = (1, 16) and (3, f(3)) = (3, 0), and the point (1, 16) is a local maximum while (3, 0) is a local minimum.

To find the critical points of the function, we need to find where the derivative of the function equals zero or is undefined.

The derivative of f(x) is:

f'(x) = 12x² - 48x + 36

Setting f'(x) equal to zero and solving for x, we get:

12x² - 48x + 36 = 0

Dividing by 12, we get:

x² - 4x + 3 = 0

(x - 1)(x - 3) = 0

So, the critical points are x = 1 and x = 3.

To determine whether these critical points are local maxima or minima, we need to examine the second derivative of the function at these points.

The second derivative of f(x) is:

f''(x) = 24x - 48

When x = 1, f''(x) = -24, which is negative.

The critical point at x = 1 is a local maximum.

When x = 3, f''(x) = 24, which is positive.

The critical point at x = 3 is a local minimum.

Therefore, the critical points of f(x) are (1, f(1)) = (1, 16) and (3, f(3)) = (3, 0), and the point (1, 16) is a local maximum while (3, 0) is a local minimum.

To learn more on Differentiation click:

https://brainly.com/question/24898810

#SPJ4

Answer & Step-by-step explanation:

-52-3+2+21-21 =

-55+2+21-21 =

-53+21-21 =

-32-21 =

-53 =

Step-by-step explanation:

Find the attached picture

Answer:

r = 6

Step-by-step explanation:

V(cyl) = π · r² · h

144π =  π · r² · 4

144 = r² · 4

144 = r²

 4

r = \(\sqrt{144}\) ÷ \(\sqrt{4}\)

r = 12/2

r = 6

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = \(\frac{9-3}{-3-(-9)}\) = \(\frac{6}{-3+9}\) = \(\frac{6}{6}\) = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = \(\frac{9-1}{-3-5}\) = \(\frac{8}{-8}\) = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

Answer:

2x - 3y = 24

Step-by-step explanation:

You use the formula Ax ± By = C.

This is the standard linear equation form.

Answer:

No because their ratios are different and not equivalent

Answer:

-3 + -6= -9

because there is answer given

Answer:

Well there is actually no difference between addition and multiplication Multiplication is defined as repetitive addition. What is 9+9+9+9+9+9….. (900 times) ? You won't add the numbers individually as it's too long. Instead we would rewrite it as 9 * 900 = 8100

Answer:

The basic difference is: addition is a of process repetitive addition Step-by-step explanation: Ex: 2+2+2+2+2=10

where as multiplication is a process of direct sum of the number of times the numerals appear in the progression: Ex: 2+2+2+2+2 can be solved by mulplying the number 2 by 5 times or 2*5=10.

Hope that helps! Stay safe!

Answer:

8 cm

Step-by-step explanation:

:)

The original price for the television is $883.51

A store will discount an item by a percent of the original price.

Given that, a store is having a sale on televisions, all televisions are on sale for 15% off, a customer buys a television for $750.99.

Let the original price be x

x*(100-15)% = 750.99

x = 750.99*100/85

x = 883.51

Hence, the original price for the television is $883.51

For more references on discount, click;

https://brainly.com/question/3541148

#SPJ1

Using the concepts of statistics, we got that at least 79 is the minimum size of the sample needed in order to have a margin of error of two minutes or less, when we need to construct a 95% confidence interval for the mean length of time.

We have mean as  357.9minutes and standard deviation as 20.18 minutes.

To have the margin error 2 minutes or less than it we need to take

Z-score of the given sample distribution which is given by:

                Z=(X-μ)/σ

Here ,μ=357.9,σ=20.18,X=?,Z=95/100

=>95/100=(X-357.9)/20.18

=> -0.95×20.18=X-357.9

=>X=-357.9+0.95×20.18

=>X=-357.9+19.171

>X=-338.729

When X=-338.729,the p score is around 79.

Hence, when I want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018., the minimum size of the sample needed in order to have a margin of error of two minutes or less is 79.

To know more about  statistics, visit here:

https://brainly.com/question/23091366

#SPJ4

The square of the length of the chord that is a common external tangent of the other two circles with radii of 3 and 6 is 45.

Given that circles of radii 3 and 6 are externally tangent to each other and internally tangent to a circle of radius 9. The circle of radius 9 has a chord that serves as a common external tangent for the other two circles. The task is to find the square of the length of this chord.

The distance between the centers of the circles of radii 3 and 6 can be found by adding their radii: d1 = 3 + 6 = 9 units.

Since the circles are internally tangent to the circle of radius 9, the distance between their centers can be found by subtracting their radii from the radius of the larger circle: d2 = 9 - 3 - 6 = 0 units.

The chord is a common external tangent of the circles, and its length can be found by doubling the distance between the center of the circle of radius 9 and the chord: Chord length = 2 × h.

To find the height (h) of the triangle formed by the chord and the center of the circle of radius 9, we can use the formula h = (r1 + r2 - R) / 2, where r1 and r2 are the radii of the smaller circles, and R is the radius of the larger circle. In this case, h = (3 + 6 - 9) / 2 = 0.
Since h is zero, it means that the chord passes through the center of the circle of radius 9. Therefore, its length will be the diameter of the circle of radius 9.

The square of the length of the chord can be found using the Pythagorean theorem. Let's denote the length of the chord as d.

- We know that r1 + h = R, so h = R - r1 = 9 - 3 = 6.

- Using the Pythagorean theorem: d = sqrt(R² - h²) = √(9² - 6²) = √(81 - 36) = √(45).

Therefore, the square of the length of the chord is d^2 = 45.

In summary, the square of the length of the chord that serves as a common external tangent for the circles of radii 3 and 6, and is internally tangent to a circle of radius 9, is 45.

To know more about circle, click here

https://brainly.com/question/15424530

#SPJ11

Answer:

Step-by-step explanation:

Given equation is 8h + 13 = 45

Where h is number of hour

So 8h=45-13

8h =32

h= 4 hour is the answer

Answer:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Step-by-step explanation:

7

Answer:

74 hope this works if not I'm sorry

Answer:

B- The volume of the basketball when the radius is r

Step-by-step explanation:

I took the 10 question test

Answer:

b

Step-by-step explanation:

b

Answer: \(96ft^2\)

Step-by-step explanation:

We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.

Rectangle:

length=10ft

width=8ft

\(Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2\)

----------------------------------------------------------

Triangle:

base: 4ft

height: 8ft

\(A=\frac{hb}{2}\)

\(A=\frac{(8ft)(4ft)}{2}\)

\(A=\frac{32ft^2}{2}\)

\(A=16ft^2\)

-------------------------------------------------------------

Add them:

\(80ft^2+16ft^2=96ft^2\)

The frequency table shows that:

To construct frequency table with a range of 6 classes, we will determine range of the data which is difference between the largest and smallest value in the data set.

Data are: 42, 43, 46, 46, 47, 47, 48, 49, 49, 50, 51, 51, 51, 51, 51, 52, 52, 54, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 57, 58, 60, 61, 61, 61, 62, 64, 64, 65, 68, 69

Age Interval     Frequency

40 - 45                    2  

46 - 51                    13

52 - 57                   31

58 - 63                    6

64 - 69                    5

Read more about Frequency

brainly.com/question/28821602

#SPJ1

Hence, the answer to Katie's question is "Yes, because the product of two polynomials is always a polynomial."

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and exponentiation. The variables in a polynomial can only have non-negative integer exponents.

For example, the expression \(3x^2 + 2x - 5\)is a polynomial, where x is the variable, 3 and 2 are coefficients, and the exponents of x are 2 and 1, respectively.

he correct answer is "Yes, because the product of two polynomials is always a polynomial."

A polynomial is an expression that can be written as a sum of terms, where each term is a product of a coefficient and one or more variables raised to non-negative integer exponents.

In the given expression, 3a3b is a monomial (a polynomial with only one term) and (8ab + 4a³b+ +565) is a polynomial with three terms.

The product of a monomial and a polynomial is always a polynomial, as each term in the polynomial is multiplied by the same monomial. Therefore, the simplified product is a polynomial.

To learn know more about polynomial visit: -

https://brainly.com/question/11536910

#SPJ1

The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

To know more about Variable here.

https://brainly.com/question/15078630

#SPJ4

Answer:

They make sure everyone gets to the same answer. Many people memorize the order of operations as PEMDAS (parentheses, exponents, multiplication/division, and addition/subtraction). The order of operations are one set of agreements for how to evaluate expressions. They make sure everyone gets to the same value.

Step-by-step explanation:

Answer:

Slope is 5

Y-intercept is 35

Answer:

Um..... 6 trucks?

Step-by-step explanation:

Convenience sampling is the least likely to produce a representative sample of the students.

Using the convenience sampling technique, individuals are chosen based on their accessibility and availability. This kind of sampling is frequently employed in studies when the objective is to swiftly collect data from a sample group rather than to acquire a representative sample of the population. If a person is willing to engage in the study  to the researcher, they are chosen for convenience sampling. The primary advantage of this strategy is that it is very simple and quick to apply; however, the primary downside is that the sample may not be representative of the population. This can result in skewed or false findings.

To learn more about convenience sampling, visit:

https://brainly.com/question/1413932

#SPJ4

Answer:

-1.5

Step-by-step explanation:

-4.5/3 = -1.5

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Answer:

1. 18    2. \(\frac{1}{3}\)    3. \(\frac{2}{15}\)    4. 6    5. 1.25

Btw:

Nice Quackity photo.