I need some help with graphing?

Answer:

L = 2.25 feet.

Step-by-step explanation:

My work is shown in the attached image! Let me know if there are any errors or if you have any questions. Best wishes.

The critical points of f(x) on the interval 0 < x < 10 are: (2, max), (7.5, min)

To estimate the critical points of f(x) on the interval 0 < x < 10, we need to look for points where the derivative, f'(x), equals zero or is undefined. However, we are given a table of values for f(x) instead of f'(x), so we need to first estimate f'(x) using these values.

One way to do this is to use finite differences. We can calculate the first finite difference for each pair of adjacent values in the table, which gives an estimate of the derivative at the midpoint of the interval:

f'(x) ≈ (f(x+1) - f(x)) / (1)

Using this formula, we can calculate the following table of values for f'(x): 0123456789 23-2.79-8-5

Now we can look for critical points of f(x) by finding where f'(x) equals zero or is undefined: - f'(x) = 0 when x = 2 or x = 7.5 (approximately) - f'(x) is undefined at x = 0 and x = 10 (endpoints of the interval)

To classify each critical point, we need to look at the sign of the derivative near the point. If f'(x) changes sign from positive to negative at a critical point, then it is a local maximum. If it changes from negative to positive, then it is a local minimum. If it does not change sign, then it is neither a maximum nor a minimum.

Using the values in the table for f'(x), we can see that: -

Near x = 2, f'(x) changes sign from positive to negative, so it is a local maximum. - Near x = 7.5, f'(x) changes sign from negative to positive, so it is a local minimum. - At the endpoints x = 0 and x = 10, f'(x) is undefined, so there are no critical points.

Therefore, the critical points of f(x) on the interval 0 < x < 10 are: (2, max), (7.5, min)

Learn more about critical points,

https://brainly.com/question/30760896

#SPJ11

Answer:

11x

Step-by-step explanation:

find what times itself gets 64 thats 8 so 64=8 now do the same to the 9=3 now you add 8+3=11 just add x

Answer:

3, 7

Step-by-step explanation:

-5 - (-9) = 4

The common difference is 4.

Add 4 to a term to find the next term.

-1 + 4 = 3

3 + 4 = 7

Answer: 3, 7

The length of the straw is √101 inches

The rectangular box has:

length (l) = 6 inches

breadth (b) = 4 inches

height (h) = 7 inches

The straw is said to fit into the box diagonally from the bottom.

So, the length of the straw is calculated as:

S= √(l² + b² + h²)

S = √(6² + 4² + 7²)

S = √101 inches

Learn more about rectangles on:

https://brainly.com/question/17297081

#SPJ1

The y-values where the tangent(s) to the curve are vertical are:y \(= (-2 + √13)/2 or y = (-2 - √13)/2\)

Given the expression\(x² + 7 x + y2 + 2 y = 15\)

To find the y-value where the tangent(s) to the curve is vertical, we need to differentiate the given expression to get the slope of the curve.

As we know that if the slope of the curve is undefined, then the tangent to the curve is vertical

Differentiating the expression with respect to x, we get:\(2x + 7 + 2y(dy/dx) + 2(dy/dx)y' = 0\)

We need to find the value of y' when the tangent to the curve is vertical.

So, the slope of the curve is undefined, therefore\(dy/dx = 0.\)

Putting dy/dx = 0 in the above equation, we get:\(2x + 7 = 0x = -3.5\)

Now, we need to find the value of y when x = -3.5We know that \(x² + 7 x + y2 + 2 y = 15\)

Putting x = -3.5 in the above equation, we get:

\(y² + 2y - 2.25 = 0\)

Solving the above quadratic equation using the quadratic formula, we get:y \((-2 ± √(4 + 9))/2y = (-2 ± √13)/2\)

Therefore, the y-values where the tangent(s) to the curve are vertical are:y \(= (-2 + √13)/2 or y = (-2 - √13)/2\)

Know more about tangent here:

https://brainly.com/question/4470346

#SPJ11

In the given problem regarding electric charge, we conclude that options 1, 3, 4, and 6 are correct and true.

In the 1st statement,

it says both particles will be at rest when they reach A and C, which is true as they are addressed towards A and C under a uniform field and will be moving by the force of the electric field (F=QE) but we are applying for Work on it, so it ends at rest.

The 2nd statement is false as

the electric field is uniform and is not changing.

The 3rd statement is true because the forces are different as the Coulomb Force exerted on Particle two by the source of electrical is larger due to the difference in charges.

The 4th Statement is true due to the fact that both of the particles will move through, the same potential difference from start to finish.

The 5th Statement is false, coloumbic force will not increase and will remain constant.

The 6th Statement is true as Both the particles are positive, they are approaching the negative, so potential energy will be decreasing.

The 7th statement is false as the net work done on Particle two by the field and by us is zero but it is not zero.

The 8th statement is false, the electric potential energy of particles does not change from start to finish.

The 9th statement is also false, net work done is not zero due to the reason that electric force is conservative and here we are not coming back to the starting point.

Learn more about electric charges on

https://brainly.com/question/9194793?referrer=searchResults

#SPJ4

Answer:

UW = 117 , SR = 24

Step-by-step explanation:

since the pairs of triangles are similar then the ratios of corresponding sides are in proportion.

(1)

Δ UML ≅ Δ UWV

\(\frac{UW}{UM}\) = \(\frac{UV}{UL}\) ( substitute values )

\(\frac{UW}{45}\) = \(\frac{104}{40}\) ( cross- multiply )

40 UW = 45 × 104 = 4680 ( divide both sides by 40 )

UW = 117

(2)

Δ SRT ≅ Δ KRJ

\(\frac{SR}{KR}\) = \(\frac{ST}{KJ}\) ( substitute values )

\(\frac{SR}{12}\) = \(\frac{16}{8}\) = 2 ( multiply both sides by 12 )

SR = 12 × 2 = 24

The ucrit value (critical t-value) for a two-tailed test with n1 = 6, n2 = 8, and α = 0.05 is approximately ±2.179.

What are n1 and n2?

These represent the sample sizes of two independent samples being compared in a statistical test. In your case, n1 = 6 and n2 = 8.

What is Significance Level (a)?

The significance level, often denoted as α (alpha), is a pre-determined threshold used in hypothesis testing to make decisions about the statistical significance of results.

What is Critical Value (ucrit)?

This refers to the value (or values) used in hypothesis testing to determine the rejection region. The specific value depends on the test statistic and the significance level.

What is Degree of Freedom?

In the context of a two-tailed test, the degrees of freedom (df) typically refer to the number of independent observations available for estimating the population parameters. The specific calculation of degrees of freedom depends on the statistical test being conducted.

For a two-sample t-test (assuming equal variances) in a two-tailed test, the degrees of freedom can be calculated as follows:

df = n1 + n2 - 2,

where n1 and n2 represent the sample sizes of the two groups being compared.

To determine the critical t-values for a two-tailed test with a significance level (α) of 0.05 and the given sample sizes, you can consult a t-distribution table or use statistical software.

For the provided sample sizes (n1 = 6, n2 = 8) and a significance level of 0.05 (two-tailed), the critical t-values for a desired confidence level can be obtained from a t-distribution table or by using statistical software.

Here are the critical t-values for a two-tailed test at α = 0.05 with the given sample sizes:

df (degrees of freedom) = (n1 + n2) - 2 = (6 + 8) - 2 = 12

Using a t-distribution table or statistical software, the critical t-value for α = 0.025 (one tail) and df = 12 is approximately 2.179. This value represents the upper and lower critical t-values for a two-tailed test at a significance level of 0.05.

Therefore, the ucrit value (critical t-value) for a two-tailed test with n1 = 6, n2 = 8, and α = 0.05 is approximately ±2.179.

To learn more about Statistics follow the given link:

https://brainly.com/question/15525560

#SPJ4

Answer:

B

Step-by-step explanation:

-3 is less than -2. Therefore your answer is B.

Answer:

B

Step-by-step explanation:

-2 is bigger than -3 on a number line

Answer:

Step-by-step explanation:

Dividend = 24x³ - 14x² + 20x + 6

In reality, however, the two drugs do not differ. This is an example of a Type I errors.

In statistics, a Type I error, also known as a false positive or alpha error, occurs when a null hypothesis that is actually true is rejected. In the context of the given randomized trial, the null hypothesis states that there is no difference between the efficacy of the two drugs.

However, due to random chance or other factors, the trial yielded a statistically significant difference (with a P value < 0.05) between the drugs, leading to the rejection of the null hypothesis.

In reality, since the two drugs do not actually differ in efficacy, the observed difference is likely due to random sampling variability or experimental error. A Type I error can occur when the significance level (alpha) used in the hypothesis test is set too low, leading to a higher likelihood of rejecting the null hypothesis incorrectly.

It is essential to consider Type I errors and carefully interpret the significance of study findings to avoid drawing erroneous conclusions based on statistical significance alone.

To know more about Type I errors, refer here:

https://brainly.com/question/32609769#

#SPJ11

If August 17 is a Sunday, then the first of September will be a Monday.

First, we need to count the number of days between Agust 17 and September 1.

We know that August has 31 days, so between Agust 17 and September 1 there are:

31 - 17 = 14

And adding the other day until September 1, we have 15 days.

So there are 15 days between August 17 and September 1, and we know that the days have a pattern in a period of 7 days.

So, 7 days after August 17, is Sunday again.

Another 7 days (for a total of 14) Is Sunday again.

Adding the last day (total of 15) is Monday.

So we conclude that the first of September will be a Monday.

Learn more about patterns:

https://brainly.com/question/17386984

#SPJ1

Answer:

-3

Step-by-step explanation:

-3 times 5 is actually 15

9 kilograms of cashews were mixed with 3 kilograms of nuts to make 12 kg of the mixture.

What are the arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's assume that x kilograms of cashews were mixed with (12 - x) kilograms of nuts costing $10 per kilogram to make 12 kg of the mixture.

The total cost of the cashews used in the mixture is 8x dollars, and the total cost of the nuts used is 10(12 - x) dollars. The total cost of the mixture is (12)(8.50) = 102 dollars.

Since the mixture contains 12 kg of nuts and cashews, we can set up the following equation to solve for x:

8x + 10(12 - x) = 102

Expanding the equation gives:

8x + 120 - 10x = 102

Simplifying and solving for x gives:

-2x + 120 = 102

-2x = -18

x = 9

Hence, 9 kilograms of cashews were mixed with 3 kilograms of nuts to make 12 kg of the mixture.

To learn more about arithmetic operations, Visit

https://brainly.com/question/20628271

#SPJ1

The power series is represented as follows:f(x) = 1 + 2x + x²+2x³+x²+2x5 +..The even index coefficients are C2n = 1.The odd index coefficients are C2n+1 = 2.

In order to find the interval of convergence of the power series, it is necessary to apply the ratio test.The ratio test can be applied as follows:lim (n → ∞) |Cn+1/Cn| = lim (n → ∞) |C2n+3/C2n+1| = lim (n → ∞) |2/(2n+3)| = 0Since the limit is less than 1, the power series converges for all values of x. Hence, the interval of convergence is (-∞, +∞).                       We know that the given function is a power series given byf(x) = 1 + 2x + x²+2x³+x²+2x5 +..Where C2n = 1 and C2n+1 = 2 are the even index and odd index coefficients, respectively.To determine the interval of convergence of the power series, we need to use the ratio test.According to the ratio test, iflim n → ∞ |Cn+1/Cn| < 1,then the power series converges.Iflim n → ∞ |Cn+1/Cn| > 1,then the power series diverges.Iflim n → ∞ |Cn+1/Cn| = 1,then the test is inconclusive and another test is required.Now, let us apply the ratio test to the given power series:lim n → ∞ |Cn+1/Cn| = lim n → ∞ |C2n+3/C2n+1| = lim n → ∞ |2/(2n+3)| = 0Since the limit is less than 1, the power series converges for all values of x.                        Therefore, the interval of convergence is (-∞, +∞). The interval of convergence of the power series is (-∞, +∞).

To know more about power series visit:

brainly.com/question/29896893

#SPJ1

The answer would be 17

Answer:

C. $59.95

Step-by-step explanation:

The mean is represented by a line that divides the box plot into two equal parts. It is placed at the center of the box plot, between the lower and higher quartiles.

The mean is represented by a line in the box plot, which divides the box plot into two equal parts. This line is placed in the center of the box plot, between the lower and higher quartiles. The mean is the average of all the values within the data set, and is represented by the line in the box plot. It is the midway point between the highest and lowest values of the data set. The mean can help to give a better understanding of the data set by providing an overall average of the data. It can be used to compare the data set to other sets of data, as well as to identify outliers within the data set. The mean can be used to identify trends within the data set, and to make predictions about future data sets or events.

Learn more about mean here

https://brainly.com/question/15323584

#SPJ4

Answer:

is 132 enough? We need more info.

Step-by-step explanation:

His projects would need 84+(12*4) inches of rope. This means he needs 132 inches of rope. Do you know how much rope he has?

Hope this helps?

Answer/Step-by-step explanation:

Zeros are x-intercepts. (Solutions are zeros are x-intercepts!)

If you are allowed to use technology, such as a graphing calculator or an online graphing tool, input the function and look for the x-intercepts. Graphing calculators have menus to find them for you. It is a legit way to "verify the zeros" Also, since this is a third degree function (highest exponent is a 3rd power) but the leading coefficient is negative, the end behavior acts the same as:

y = -x^3

a much simpler version. Actually, even simpler:

y = -x

All of these, go up to the left and down to the right. Or some teachers/classes/books/programs want you to say:

as x goes to negative infinity, y goes to infinity (up to the left) and as x goes to infinity, y goes to negative infinity (down to the right)

SO, if you cannot use technology, put the given x-intercept into the function. And check that it gives you a value of 0. Like this:

f(x) =

-x^3-7x^2-7x+15

check by substituting -5 for x

f(-5) =

-(-5)^3-7(-5)^2-7(-5)+15

= 125 -7(25) +35+15

= 125- 175 + 35 + 15

= 0

When you use x =-5 you get y = 0. This verifies that -5 is a zero.

Check -3.

f(-3)=-(-3)^3-7(-3)^2-7(-3)+15

= 27 -7(9) +21 +15

= 27 - 63 +21 +15

= 0

Verified!

Lastly, check 1:

f(1)=-(1)^3-7(1)^2-7(1)+15

= -1 - 7 - 7 + 15

= 0

Verified!

Option C. The function that has the table here has  exactly one x-intercept.

As the signs of the functions are changing, we can see that there is a crossing to the x axis.

This tells us that the zero value that we see is the x intercept and there is no other x intercept in the question.

Read more on intercepts here:

https://brainly.com/question/2500907

#SPJ1

Using a system of equations, it is found that he needs to buy 0.75 pounds of peanuts.

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

\(x + y = 1.25\)

As we want x, we write y as a function of x, thus:

\(y = 1.25 - x\)

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

\(8x + 10y = 11\)

\(8x + 10(1.25 - x) = 11\)

\(8x + 12.5 - 10x = 11\)

\(2x = 1.5\)

\(x = \frac{1.5}{2}\)

\(x = 0.75\)

He needs to buy 0.75 pounds of peanuts.

A similar problem is given at https://brainly.com/question/17096268

Answer:

$13.01 per student

Step-by-step explanation:

Answer:

Amount to be raised=$592.61

Amount available = $345.42

Amount remaining = $592.61-$345.42=$247.19

Each student will raise $247.19/19 = $13.01

Answer:

c

Step-by-step explanation:

The line segment OD is congruent to line segment OB. Therefore, option C is the correct answer.

Equal chords of a circle are equidistant from the center of the circle.

From the given figure, AC=EF=9.07.

So, AC and EF are equal chords.

Since, the chords are equal, they are equidistance from center.

Then, OD=OB

Therefore, option C is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ7

Answer:

Step-by-step explanation:

\(Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\\)

= 48%

Perimeter of rectangle is  9.5 inches

If the length of the rectangle is l and its width is w,

l = 4w + 1, and

lw = (4w+1)×w = 3.

This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.

Solving the equation we get as

w=0.75 or w=-1

as it an not be negative value hence w=0.75

l=4

Perimeter of rectangle is 2*(l+w)= 9.5 inches.

Learn more about rectangle here:

https://brainly.com/question/16021628

#SPJ9

Answer:

11.25

Step-by-step explanation:

of-contained refers to multiplication

3/4*15