Is my answer right or wrong click to see file

The description of the motion of the ball across the floor after being rolled by Vic, based on the distances shown on the table and the average speed are as follows;

1. The function is a quadratic function

2. a. 12 ft/s

b. 10 ft/s

c. 8 ft/s

d. 6 ft/s

Average speed is the ratio of the distance traveled in a period to the time it takes to travel during the period.

The values in the table in the indicates that we get;

The first differences are;

6 - 0 = 6

11 - 6 = 5

15 - 11 = 4

18 - 15 = 3

The second difference are;

5 - 6 = -1

4 - 5 = -1

3 - 4 = -1

Whereby the first difference are not constant and the second difference, which is the differences between the consecutive first difference are constant, we get;

2. a. The average speed between 0 and 0.5 seconds = (6 - 0)/(0.5 - 0) = 12

The average speed between 0 and 0.5 seconds is 12 feet per second

b. The interval between 0.5 and 1 indicates;

Average speed = (11 - 6)/(1 - 0.5) = 10

The average speed between 0.5 and 1 second is 10 feet per second

c. The interval between 1 and 1.5 seconds indicates;

Average speed = (15 - 11)/(1.5 - 1) = 8

The average speed between 1 and 1.5 second is 8 feet per second

d. The interval between 1.5 and 2 seconds indicates;

Average speed = (18 - 15)/(2 - 1.5) = 6

The average speed between 1.5 and 2 second is 6 feet per second

Learn more on the average speed of an object here: https://brainly.com/question/24824545

#SPJ1

Therefore, the total area of the region that satisfies the two inequalities is 14.5 square units.

The two inequalities given are:

y >= x

y <= |x - 3|

The region that satisfies both inequalities is the shaded area in the graph.

We can find the area of this region by splitting it into two parts: the triangle formed by the points (0, 0), (3, 0), and (3, 3), and the trapezoid formed by the points (3, 3), (2, 1), (-1, 3), and (-3, 3).

The area of the triangle is (1/2)33 = 4.5 square units.

To find the area of the trapezoid, we need to find the lengths of its two bases and its height. The height is the distance between the x-axis and the line y = |x - 3|. This line intersects the x-axis at x = 3 and at x = -1. At x = 3, the height is 0. At x = -1, the height is |-1 - 3| = 4. So the height of the trapezoid is 4 units.

The lengths of the two bases of the trapezoid are the distances between the y-axis and the lines x = 2 and x = -3. These distances are 2 and 3 units, respectively. So the area of the trapezoid is (1/2)*(2 + 3)*4 = 10 square units.

Therefore, the total area of the region that satisfies the two inequalities is 4.5 + 10 = 14.5 square units.

To know more about inequality,

https://brainly.com/question/30239204

#SPJ11

Complete question:

How many square units are in the region satisfying the inequalities y>=(x) and y<=-(x)+3? Express your answer as a decimal. * the () are absolute value signs.

The proofing of the triangle based on the information is given below.

From the figure  Δ BCL, P is the mid-point of BC and PS is parallel to BL.

Where, S is the mid-point of CL

So, CS=SL  ----- (1)

Again, In Δ APS, Q is the mid-point of AP and QL  is parallel to PS.

Where, L is the mid-point of AS.

So,   AL=LS ----- (2)

From equations (1) and (2),

We get, AL = LS = SC

⇒ AC= AL+LS+SC

⇒ AC= AL+AL+AL

⇒ AC=3AL

∴ AL= 1/3AC

Learn more about triangles on

https://brainly.com/question/17335144

#SPJ1

Using the definite integral, it is determined that the driver is 108 miles from his home at 1:00 PM.

We need to find the distance travelled by the driver between 11:00 AM and 1:00 PM.

The velocity of the driver is given by v(t) = 54t − 24t^2.

We can find the distance travelled by finding the definite integral of v(t) with respect to t, between 0 and 2 (since the driver leaves at 11:00 AM and we need to find the distance travelled by 1:00 PM, which is 2 hours later).

[tex]\int\limits^0_2[/tex]v(t) dt   =    [tex]\int\limits^0_2[/tex](54t − 24t²) dt

= [27t² - 8t³] between 0 and 2

= [27(2)² - 8(2)³] - [27(0)² - 8(0)³]

= 108 - 0

= 108 miles

Therefore, the driver is 108 miles away from his home at 1:00 PM.

To know more about Integral:

https://brainly.com/question/18125359

#SPJ1

The correct answer is 3. There is no statistically significant evidence that the average course grade differs between courses taught asynchronously online and courses taught online with synchronous remote meetings.

The correct answer is 3. There is no statistically significant evidence that the average course grade differs between courses taught asynchronously online and courses taught online with synchronous remote meetings. This is because the p-value (0.094) is greater than the level of significance (0.05), which means we cannot reject the null hypothesis that the average course grades are the same in both types of courses. .

Therefore, we conclude that there is not enough evidence to support a difference in average course grades between the two types of courses.

Learn more about synchronous  here:

https://brainly.com/question/27189278

#SPJ11

Subtract adjacent terms:

10-2 = 8

50-10 = 40

The results are not the same, so we do not have a common difference.

But we do have a common ratio because dividing adjacent terms gets us the following

10/2 = 5

50/10 = 5

The common ratio is 5. It means we multiply each term by 5 to get the next term. The sequence is geometric.

The nth term formula is [tex]a_n = 2*5^{n-1}, \ \text{ where n = 1, 2, 3,}\ldots[/tex]

Based on the provided informations and given values, the value of k for the given function and domain is calculated to be 11.

To find the value of k for the function G(x) = |5x - 4|, we need to evaluate the function at the endpoints of the given domain and find the maximum value.

The domain of the function is 0 ≤ x ≤ 3, so we need to evaluate the function at x = 0 and x = 3.

When x = 0:

G(0) = |5(0) - 4| = 4

When x = 3:

G(3) = |5(3) - 4| = 11

So, the maximum value of the function occurs at x = 3, and the value is 11.

Since the function is continuous over the given domain, we know that the maximum value occurs either at one of the endpoints or at a critical point in between.

The critical point is where the expression inside the absolute value bars, 5x - 4, equals zero:

5x - 4 = 0

x = 4/5

However, 4/5 is not in the given domain, so the maximum value occurs at x = 3, and the value is 11.

We know that the maximum value of the function is k, so:

k = G(3) = 11

Therefore, the value of k for the given function and domain is 11.

Learn more about Domain :

https://brainly.com/question/29885272

#SPJ4

To calculate real interest rates, you need to take into account inflation. The formula for real interest rate is: Real interest rate = Nominal interest rate - Inflation rate.

To calculate nominal interest rates, you simply divide the interest rate by 100 and multiply it by the principal amount. For example, if the nominal interest rate is 5% and you put $100 in the bank, you would earn $5 in interest ($100 x 0.05).

To calculate real interest rates, you need to take into account inflation. The formula for real interest rate is:

Real interest rate = Nominal interest rate - Inflation rate

For example, if the nominal interest rate is 5% and the inflation rate is 2%, the real interest rate would be 3% (5% - 2%). This means that your $100 in the bank would earn $3 in real terms after accounting for inflation.

In summary, to calculate nominal interest rates, simply multiply the principal by the interest rate, while to calculate real interest rates, subtract the inflation rate from the nominal interest rate.

Nominal interest rate is the rate at which you earn interest on your deposit without accounting for inflation. Let's assume you deposit $100 in a bank that offers a 5% annual nominal interest rate. To calculate the interest earned in one year, you would use the following formula:

Interest earned = Principal amount x Nominal interest rate
Interest earned = $100 x 0.05
Interest earned = $5

Now, to calculate the real interest rate, you need to consider the inflation rate. The real interest rate is the nominal interest rate adjusted for inflation, and it provides a more accurate representation of the true return on your investment. To calculate the real interest rate, use the Fisher equation:

Real interest rate ≈ Nominal interest rate - Inflation rate

Assuming the annual inflation rate is 2%, you would calculate the real interest rate as follows:

Real interest rate ≈ 0.05 - 0.02
Real interest rate ≈ 0.03 (or 3%)

So, in this example, your real interest rate is 3%, which takes into account the effects of inflation on your $100 deposit.

To learn more about rate, click here:

brainly.com/question/29781084

#SPJ11

To solve the equation √(2x) + 5 = 1 using mental math, we can follow these steps:

   Subtract 5 from both sides of the equation: √(2x) = -4

   Square both sides of the equation to eliminate the square root: 2x = 16

   Divide both sides by 2 to solve for x: x = 8

Therefore, the solution to the equation √(2x) + 5 = 1 is x = 8.

Regarding the problem m +4-√3m = 0, we can solve for m algebraically by following these steps:

   Move the constant term (4) to the other side of the equation: √(3m) = -m + 4

   Square both sides to eliminate the square root: 3m = (4 - m)^2

   Simplify the right-hand side: 3m = 16 - 8m + m^2

   Rearrange the terms and set equal to zero: m^2 - 11m + 16 = 0

   Factor the quadratic equation: (m - 1)(m - 16) = 0

   Solve for m by setting each factor equal to zero: m - 1 = 0 or m - 16 = 0

   Solve for m in each equation: m = 1 or m = 16

Therefore, the solutions to the equation m +4-√3m = 0 are m = 1 and m = 16.

Answer: To find the reconciled balance, you need to adjust the checkbook balance for any items that have not yet cleared the bank and add or subtract any other items that have not been recorded in the checkbook.

Here are the steps to reconcile the checkbook balance:

1. Add any deposits in transit to the checkbook balance.

68,599.10 + 2,800.10 = 71,399.20

2. Subtract any outstanding checks from the adjusted checkbook balance.

71,399.20 - 24,741.10 = 46,658.10

3. Add or subtract any other items that have not been recorded in the checkbook.

46,658.10 + 6,000.00 - 50.00 = 52,608.10

Therefore, the reconciled balance is $52,608.10.

Step-by-step explanation:

In the classical or direct approach, we compare the t-statistic from our experiment to the critical value from the t-distribution table. If the t-statistic is greater than the critical value, we reject the null hypothesis.

We cannot infer our results from the general population unless we have a representative sample. Even with a representative sample, there is always the potential for bias. To avoid bias, we can use random sampling and blind or double-blind experimental designs.

To improve on this experiment, we could increase the sample size to reduce sampling error and increase the power of the experiment. We could also use a control group to compare our results to a group that did not receive the treatment. Additionally, we could use a different statistical test or model to analyze the data or gather more variables to control for potential confounding factors.

Learn more about sample size here:- brainly.com/question/30885988.

#SPJ11

Answer: The total number of cars seen is:

4 + 7 + 12 + 14 + 5 + 3 = 45

The number of brown cars seen is 5.

The probability of the next car being brown is equal to the number of brown cars divided by the total number of cars seen:

P(brown) = 5/45 = 1/9

Therefore, the probability of the next car being brown is 1/9.

Step-by-step explanation:

Since the pH of this solution is 9.94, it is basic.

1. To calculate the pH, we use the formula:

pH = -log[H3O+]

Since we were given the concentration of the hydroxide ion, we can use the following relationship to find the concentration of the hydronium ion:

[H3O+] x [OH-] = 1 x 10^-14 M^2

[H3O+] = (1 x 10^-14 M^2) / [OH-]

[H3O+] = (1 x 10^-14 M^2) / (8.79 x 10^4 M)

[H3O+] = 1.14 x 10^-10 M

Now we can substitute this value into the pH formula:

pH = -log(1.14 x 10^-10)

pH = 9.94

Therefore, the pH of the solution is 9.94.

2. To calculate the pOH, we use the formula:

pOH = -log[OH-]

We were given the concentration of the hydroxide ion, so we can use that directly in the formula:

pOH = -log(8.79 x 10^4)

pOH = 4.06

Therefore, the pOH of the solution is 4.06.

3. We already calculated the concentration of the hydronium ion in part 1:

[H3O+] = 1.14 x 10^-10 M

4. To determine whether the solution is acidic, basic, or neutral, we can use the pH scale. A solution with a pH less than 7 is acidic, a solution with a pH greater than 7 is basic, and a solution with a pH of 7 is neutral.

Since the pH of this solution is 9.94, it is basic.

The radius of the grain silo is approximately 1.8 feet.

To solve this problem, we need to use the formula for the volume of a cylinder and the volume of a hemisphere.

The volume of a cylinder is given by V = πr^2h, where r is the radius and h is the height.

The volume of a hemisphere is given by V = (2/3)πr^3.

Since the silo consists of a cylindrical main section and a hemispherical roof, we can find the total volume by adding the volume of the cylinder and the volume of the hemisphere.

So,

Total volume = V_cylinder + V_hemisphere

= πr^2h + (2/3)πr^3

= πr^2(3h/3) + (2/3)πr^3

= (3πr^2h + 2πr^3)/3

We know that the total volume of the silo is given, so we can set up an equation:

(3πr^2h + 2πr^3)/3 = given volume

Simplifying this equation, we get:

3πr^2h + 2πr^3 = 3 x given volume

Dividing both sides by π and factoring out r^2, we get:

3rh + 2r^2 = 3 x (given volume)/π

Now we can plug in the given values and solve for r.

Let's assume the given volume is 1000 cubic feet and the height of the cylindrical part is 20 feet.

Then,

3rh + 2r^2 = 3 x 1000/π

3r x 20 + 2r^2 = 955.03

60r + 2r^2 = 955.03

2r^2 + 60r - 955.03 = 0

Using the quadratic formula, we get:

r = (-60 ± sqrt(60^2 - 4 x 2 x (-955.03)))/4

r = (-60 ± 67.2)/4

r = 1.8 or r = -33

Since the radius cannot be negative, we choose the positive solution:

r = 1.8 feet (rounded to the nearest tenth of a foot).

Know more about radius here:

https://brainly.com/question/13449316

#SPJ11

To generate 25 random variates from this distribution using VLOOKUP, you can follow these steps:

1. Create a table with two columns - "Cumulative Probability" and "Demand".
2. In the "Cumulative Probability" column, list the cumulative probabilities for each demand value. To do this, add up the probabilities for all demand values up to and including the current demand value. For example, for demand value 1, the cumulative probability would be 0.4 (0.2 + 0.2).
3. In the "Demand" column, list the demand values.
4. Use the VLOOKUP function to generate the random variates. For each variate, use the RAND() function to generate a random number between 0 and 1, and then use VLOOKUP to find the corresponding demand value based on the cumulative probability. For example, if the random number is 0.3, and the cumulative probability for demand value 2 is 0.7, then the VLOOKUP function would return a demand value of 2.

Here's an example of how the table and VLOOKUP formula would look:

| Cumulative Probability | Demand |
|-----------------------|--------|
| 0.4                   | 1      |
| 0.7                   | 2      |
| 1.0                   | 3      |
| 1.0                   | 4 or more |

Assuming the table is in cells A1:B4, the VLOOKUP formula for the first variate would be:

=VLOOKUP(RAND(), A1:B4, 2, TRUE)

This will generate a random variate from the distribution. Copy and paste the formula into 24 more cells to generate a total of 25 variates.

Learn more about VLOOKUP here:

https://brainly.com/question/18137077

#SPJ11

The solution of the given parabola is (0, -2) and equation is  y=a(x+1)²

The equation of parabola in standard form is y=a(x-h)²+k

Where (h, k) are the coordinates of vertex

The value of (h, k) is (-1, 0)

Now plug in the values in equation

y=a(x+1)²+0

y=a(x+1)²

The point (0, -2) is in parabola

Hence, the solution of the given parabola is (0, -2)

To learn more on Parabola click:

https://brainly.com/question/21685473

#SPJ1

The required, Option D "Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56." is correct.

Jace is correct. The sentence "56 is 14 more than a number" implies that you can start with a certain number (which is unknown) and add 14 to it to get 56. Jace correctly used addition to represent this relationship in equation 14 + p = 56, where p represents the unknown number. The phrase "more than" does not necessarily suggest the use of the symbol >, as it can also be interpreted as an additional relationship.

Therefore, Jace's work is accurate and correctly represents the relationship between 56 and a certain number that is 14 less than 56.

Learn more about the equation model here:

https://brainly.com/question/16107051

#SPJ1

The confidence interval estimate of the difference between two population means is a range of values that we can be confident contains the true difference between the means.

To calculate the confidence interval estimate of the difference between two population means, we need to use the formula:

CI = (x₁ - x₂) ± tα/2 ×SE

where x1 and x2 are the sample means, tα/2 is the critical value from the t-distribution table at a chosen level of significance α/2, and SE is the standard error of the difference between the two means.

The confidence interval estimate gives us a range of values within which we can be confident that the true difference between the two population means lies. The margin of error is determined by the critical value and the standard error.

It is important to note that a negative value for the confidence interval estimate indicates that the mean of the first population is smaller than the mean of the second population. Conversely, a positive value indicates that the mean of the first population is larger than the mean of the second population.

In summary, the confidence interval estimate of the difference between two population means is a range of values that we can be confident contains the true difference between the means. The margin of error is determined by the critical value and the standard error. A negative value indicates that the mean of the first population is smaller than the mean of the second population, while a positive value indicates the opposite.

To calculate the confidence interval estimate, we need to obtain two samples from the populations of interest, calculate the sample means and the standard deviation of each sample, and then calculate the standard error of the difference between the means. The critical value is determined based on the level of significance chosen for the test, and the degrees of freedom, which depend on the sample sizes. Once we have all the necessary values, we can use the formula to calculate the confidence interval estimate. The confidence interval is typically expressed as a percentage, with 95% being the most commonly used level of significance.

Learn more about Range:

brainly.com/question/29204101

#SPJ11

The Beta distribution is a continuous probability distribution with support on the interval [0,1], and is often used to model random variables that have limited range, such as probabilities or proportions.

The Beta [a, b] density has the form f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 +, where a and b are constants and 0 <= x <= 1. This density function describes the probability of observing a value x from a Beta [a, b] distribution.

The parameters a and b are often referred to as shape parameters, and they control the shape of the distribution. Specifically, the larger the values of a and b, the more peaked the distribution will be, while smaller values of a and b will lead to flatter distributions.

Know more about Beta distribution here:

https://brainly.com/question/29753583

#SPJ11

The volume of pyramid A is twice the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is equal to the volume of pyramid A.

In Mathematics and Geometry, the volume of a pyramid can be calculated by using the following formula:

Volume = 1/3 × b × h

Where:

Volume of pyramid A = (10 × 20 × h)/3 = 200h/3

Volume of pyramid B = (10 × 10 × h)/3 = 100h/3

Since the heights of the two (2) pyramids are equal, we would substitute them as follows;

Volume of pyramid A = (200 × 3 × Volume of pyramid B)/(100 × 3)

Volume of pyramid A = 2 × Volume B

Read more on pyramid here: brainly.com/question/16315790

#SPJ1

Complete Question;

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides. The heights of the pyramids are the same.

The volume of pyramid A is ____ the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is ______the volume of pyramid A.

The estimated probability that she makes a third successful shot is 0.75, or 75%.

A. Given the prior distribution of the success probability, o, as Uniform [0,1], which can be viewed as a Beta distribution with parameters α=1 and β=1 (Beta[1,1]). Since she made two successful shots in a row and the outcomes are independent, we can update our belief about her success probability using the Bayes' theorem. For a Beta distribution, the update rule is quite simple:

Posterior distribution = Beta(α + number of successes, β + number of failures)

In this case, she made two successful shots, so the number of successes is 2, and the number of failures is 0. Thus, the posterior distribution of θ is:

Posterior distribution = Beta(α + 2, β) = Beta(3,1)

B. To estimate the probability that she makes a third successful shot, we can use the expected value of the posterior distribution, which for a Beta distribution is given by:

Expected value = α / (α + β)

In our case, α = 3 and β = 1, so the expected value is:

Expected value = 3 / (3 + 1) = 3/4

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

A valid argument is a logical argument in which the conclusion follows necessarily from the premises.

In the context of establishing the truth of a theorem, a valid argument serves as a proof that shows the theorem is true, given certain assumptions.

The statements used in a proof can include axioms, which are statements we assume to be true, as well as previously proven theorems.

Axioms provide the foundation for building the argument, while proven theorems allow us to apply already established knowledge to strengthen our proof.

By using a combination of axioms and proven theorems, we can create a valid argument that effectively establishes the truth of a theorem.

To know more about Logical argument:

https://brainly.com/question/12238056

#SPJ11

the   perfect square is : (x+3y)² the term is 6xy

The significance level is set at 5%, and the probability of the result is 92.2%, which is greater than the significance level. The result is not statistically significant, and we cannot reject the null hypothesis.

The probability of the treatment group’s mean being lower than the control group’s mean by 15 points or more is calculated as follows:

Frequency of means -15 or less = 10 + 18 + 50

Frequency of means -15 or less = 78

Probability(-15 or less) = 78/ 1000

Probability(-15 or less) = 0.078

Probability(more than -15) = 1 - Probability(-15 or less)

Substituting the value:

Probability(more than -15) = 1 - 0.078

Probability(more than -15) = 0.922

Probability(more than -15) = 92.2%

Learn more about probability at: https://brainly.com/question/25870256

#SPJ1

The simplification of the given expression, [tex]\sqrt{\frac{2^{x+2} + 2^{x}}{2^{x-3}} + 9}[/tex], is 7

From the question, we are to simplify the given expression

The given expression is

[tex]\sqrt{\frac{2^{x+2} + 2^{x}}{2^{x-3}} + 9}[/tex]

The expression can be simplified as follows:

[tex]\sqrt{\frac{2^{x+2} + 2^{x}}{2^{x-3}} + 9}[/tex]

[tex]\sqrt{\frac{2^{x} \times 2^{2} + 2^{x}}{2^{x} \div 2^{3}} + 9}[/tex]

[tex]\sqrt{\frac{2^{x} (2^{2} + 1)}{2^{x} \times \frac{1}{2^{3}}} + 9}[/tex]

[tex]\sqrt{\frac{(2^{2} + 1)}{ \frac{1}{2^{3}}} + 9}[/tex]

[tex]\sqrt{\frac{(4 + 1)}{ \frac{1}{8}} + 9}[/tex]

[tex]\sqrt{\frac{(5)}{ \frac{1}{8}} + 9}[/tex]

[tex]\sqrt{(5) \div \frac{1}{8} + 9}[/tex]

[tex]\sqrt{(5) \times \frac{8}{1} + 9}[/tex]

[tex]\sqrt{5 \times 8+ 9}[/tex]

[tex]\sqrt{40+ 9}[/tex]

[tex]\sqrt{49}[/tex]

= 7

Hence, the simplified expression is 7

Learn more on Simplifying an expression here: https://brainly.com/question/723406

#SPJ1

The inequality that is not equivalent to others is D -x<3

From the question, we have the following parameters that can be used in our computation:

A -x>-3

B x <3

C x+1 <4

D -x<3

When the expressions are solved, we have

A x < 3

B x <3

C x <3

D x > 3

Hence, the odd option is D -x<3

Read more about inequalities at

https://brainly.com/question/25275758

#SPJ1

In this situation, a randomized block experiment with 5 houses was used instead of a one-way ANOVA experiment with 15 different houses because it allows for better control of variability between houses, and a more accurate comparison of the assessors' performance.

In a one-way ANOVA experiment with 15 different houses, each assessor would evaluate a different group of 5 houses, which introduces variability between the groups of houses. This variability could mask the true differences between the assessors, making it difficult to determine if they differ systematically in their assessments.

In contrast, using a randomized block experiment with only 5 houses, each assessor evaluates the same set of houses, which effectively eliminates the variability between groups of houses. This design allows for a more accurate comparison of the assessors, as any observed differences in assessments can be more confidently attributed to differences between the assessors rather than differences between the houses.

To summarize, a randomized block experiment with 5 houses was used because it controls for variability between houses and provides a more accurate comparison of the assessors' performance, which is the main focus of this study.

Learn more about ANOVA here:

https://brainly.com/question/23638404

#SPJ11

It should be 33.49 sorry if I’m a little off!