Davit drives 16.5 miles in 10 minutes. he passes a sign which gives the speed limit as 65 mph. by how much, in mph, did davit's average speed exceed the speed limit?

Answer:

x=5 or x=-5

Step-by-step explanation:

(x+5)=0 (x-5)=0

Answer:

Step-by-step explanation:

x2+1+2 x)(x2+1−2 x)(x2+1)(x+1)(x−1)

To solve this problem, we must use the Compound Interest formula:

Where:

• P_N is the balance in the account after N years,

• P_0 is the starting balance of the account (also called an initial deposit, or principal),

• r is the annual interest rate in decimal form,

• k is the number of compounding periods in one year.

In this problem, we have:

• P_0 = 24,000,

• r = 6% = 0.06%,

• k = 1 (because the interest compounded annually),

• N = 14.

Replacing the data in the equation above, we get:

Answer

The amount to be paid at the end of the 14 years will be $54,262.

Answer:

-4

Step-by-step explanation: I think of this by turning it to a subtraction problem. 16-12=4. But you still do have to add the negitive symbol

Answer:

-4

Step-by-step explanation:

its easier to think of it as 16-12 then if the negative number is greater than the positive add a negativ esymbol.

Hoped i explained that good enough.

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

To know more about Median

https://brainly.com/question/13168193

#SPJ4

The velocity of the car traveling from one city to another that is 163 km away and takes 2 and a half hours to reach can be calculated as 65.2 km/hour. This is determined by dividing the distance traveled by the time taken, or 163 km / 2.5 hours.

Velocity is a measure of an object's displacement over time. It specifies both the object's speed and direction of movement, and is expressed in units of distance per unit of time, such as meters per second or kilometers per hour.

Distance is the measure of how far apart two points or objects are. It is typically measured in units such as kilometers, miles, meters, or feet.

According to the given information:

To find the velocity of the car, we need to use the formula:

Velocity = Distance / Time

In this case, the distance traveled by the car is 163km and the time taken to travel that distance is 2.5 hours.

Substituting the values into the formula, we get:

Velocity = 163 km / 2.5 hours

Simplifying, we get:

Velocity = 65.2 km/h

Therefore, the velocity of the car is 65.2 km/h.

To know more about distance and velocity visit:

https://brainly.com/question/17127206

#SPJ1

The approximation with the given mean and standard deviation, and (b) the probability P(ộ > 0.72) can also be calculated using the normal approximation, providing evidence that some people who did not vote claimed that they did.

(a) To calculate the probability P(0.52 < P < 0.60), where P represents the proportion of the sample who voted, we can use the normal approximation for the sample proportion. Given that the mean proportion p is 0.56 and the standard deviation o is 0.019, we can standardize the interval (0.52, 0.60) using the formula z = (x - p) / o, where x is the upper or lower bound of the interval. Thus, z1 = (0.52 - 0.56) / 0.019 and z2 = (0.60 - 0.56) / 0.019. Using a standard normal table or a calculator, we can find the respective z-scores and calculate the probability as P(0.52 < P < 0.60).

(b) To calculate the probability P(ộ > 0.72), where ộ represents the proportion of respondents who claimed they had voted, we can again use the normal approximation. We standardize the value 0.72 using the formula z = (ộ - p) / o, where p is the mean proportion and o is the standard deviation. Substituting the given values, we can calculate the z-score for ộ = 0.72. Using a standard normal table or a calculator, we can find the probability P(ộ > 0.72).

know more about probability :brainly.com/question/31828911

#SPJ11

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

To learn more about correlation click here:

brainly.com/question/16169720

#SPJ11

Answer:

The value of log28 is 1.447158031.

Step-by-step explanation:

Hope this help!

Answer:

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

log(28)

Decimal Form:

1.44715803…

Answer:

What relationship??

Step-by-step explanation:

Step-by-step explanation:

hakdogg happyly ever after

Answer:

Hello,

1/37

Step-by-step explanation:

Explanation on the picture

Answer:

30

Step-by-step explanation:

we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30

She should pick out this outfit...

Answer:

\(11\dfrac{3}{5}$ miles\)

Step-by-step explanation:

Miguel ran \(2\dfrac{9}{10}\) miles on Monday.

On Friday, he ran 5 times as far as he did on Monday.

Miles run on Friday

\(=5 X 2\dfrac{9}{10}\)

\(=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles\)

Difference in Number of Miles Run

\(=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles\)

Therefore, Miguel ran \(11\dfrac{3}{5}$ miles\) farther on Friday.

Answer:

im a teacher sorry not giving answer only hint

explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

thank you

The device that indicates whether two AC sources to be connected in parallel are in the correct phase relationship is called a synchronizing device.

A synchronizing device is a mechanism that ensures that two AC sources are in sync when they are connected in parallel. It's used to match the voltage, frequency, and phase angle of two alternating current (AC) sources.

It guarantees that the power supplied by both generators is synchronized, allowing them to be combined into a single electrical system without disrupting the balance of the current or causing a short circuit.

As a result, it is critical to the safe and efficient operation of power systems. A phase sequence indicator (PSI) or a synchroscope is often used as a synchronizing device. It works by providing an indication of the voltage difference, the phase angle difference, and the frequency difference between two AC sources that are to be synchronized.

Therefore, a synchronizing device is an instrument that determines whether two alternating current (AC) sources to be connected in parallel are in the appropriate phase relationship.

To know more about synchronizing device click here:

https://brainly.com/question/4223074

#SPJ11

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

for such more question on  net profit

https://brainly.com/question/4177260

#SPJ8

Answer:

Para transformar 26 °C a grados Fahrenheit tienes que multiplicar 26 x 9/5 y después sumarle 32. 1 °C son 33,8 °F.

Step-by-step explanation:

26 degrees Celsius is equal to 78.8 degrees Fahrenheit.

To convert 26 degrees Celsius to degrees Fahrenheit, you can use the following formula:

°F = (°C × 9/5) + 32

Plug in the value of celsius.

°F = (26 × 9/5) + 32

°F = (234/5) + 32

°F = 46.8 + 32

°F = 78.8

Therefore, 26 degrees Celsius is equal to 78.8 degrees Fahrenheit.

To learn more on Temperature click:

https://brainly.com/question/7510619

#SPJ6

Convert 26 degrees Celsius to degrees Fahrenheit?

The answer to the question :

Darboux's Theorem: Let f be a real-valued function on the closed interval [a,b]. Suppose f is differentiable on [a,b]. Then f′ satisfies the intermediate value property.

What is the intermediate value property?

Give an example of a function defined on [a,b] that is not the derivative of any function on [a,b]

Give an example of a differentiable function f on [a,b] such that f′ is not continuous.

Present proof of Darboux's theorem. is given below:

Explanation:

The intermediate value property refers to the property that a continuous function takes all values between its maximum and minimum value in a closed interval. The intermediate value property states that if f is continuous on the closed interval [a,b], and L is any number between f(a) and f(b), then there exists a point c in (a, b) such that f(c) = L.

For an example of a function defined on [a,b] that is not derivative of any function on [a,b], consider f(x) = |x| on the interval [-1, 1]. This function is not differentiable at x = 0 since the left and right-hand derivatives do not match.

An example of a differentiable function f on [a,b] such that f′ is not continuous is f(x) = x^2 sin(1/x) for x not equal to 0 and f(0) = 0. The derivative f′(x) = 2x sin(1/x) − cos(1/x) for x not equal to 0 and f′(0) = 0. The function f′ is not continuous at x = 0 since f′ oscillates wildly as x approaches 0.

Darboux's Theorem: Let f be a real-valued function on the closed interval [a, b]. Suppose f is differentiable on [a,b]. Then f′ satisfies the intermediate value property.

Proof: Suppose, for the sake of contradiction, that f′ does not satisfy the intermediate value property. Then there exist numbers a < c < b such that f′(c) is strictly between f′(a) and f′(b). Without loss of generality, assume f′(c) is strictly between f′(a) and f′(b).

By the mean value theorem, there exists a number d in (a, c) such that

f′(d) = (f(c) − f(a))/(c − a).

Similarly, there exists a number e in (c, b) such that

f′(e) = (f(b) − f(c))/(b − c).

Now,

(f(c) − f(a))/(c − a) < f′(c) < (f(b) − f(c))/(b − c).

Rearranging terms, we have

(f(c) − f(a))/(c − a) − f′(c) < 0 and (f(b) − f(c))/(b − c) − f′(c) > 0.

Define a new function g on the interval [a, b] by

g(x) = (f(x) − f(a))/(x − a) for x ≠ a and g(a) = f′(a). Then g is continuous on [a, b] and differentiable on (a, b).

By the mean value theorem, there exists a number c in (a, b) such that

g′(c) = (g(b) − g(a))/(b − a) = (f(b) − f(a))/(b − a).

However,

g′(c) = f′′(c), so f′′(c) = (f(b) − f(a))/(b − a).

Since f′′(c) is strictly between (f(c) − f(a))/(c − a) and (f(b) − f(c))/(b − c), we have a contradiction. Therefore, f′ must satisfy the intermediate value property.

To know more about mean value theorem, visit:

https://brainly.com/question/30403137

#SPJ11

Answer:

2x² + 5x - 3

Step-by-step explanation:

(x + 3)(2x - 1)

Use FOIL

First terms

x * 2x = 2x²

Outer terms

x * -1 = -x

Inner terms

3 * 2x = 6x

Last terms

3 * -1 = -3

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

FOIL

2x² - x + 6x - 3

Combine like terms

2x² + 5x - 3

If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

Know more about the angle of impact here:

https://brainly.com/question/12262372

#SPJ4

Answer:

\(6 {a}^{4} + 5b\)

Step-by-step explanation:

\(2a \times a\times a \times 3 a+ b + 4b \\ 2a \times a = 2 {a}^{2} \\ 2 {a}^{2} \times a = 2 {a}^{3} \\ 2 {a}^{3} \times 3a = 6 {a}^{4} \\b + 4b = 5b\)

Therefore the answer is

\(6 {a}^{4} + 5b\)

\(2a \cdot a \cdot a \cdot 3a +b+4b\\\\=6a^{1+1+1+1} +5b\\\\=6a^4 +5b\)

Answer:

49.7 \(cm^{2}\)

Step-by-step explanation:

Although it is hidden a bit, we are actually given the circumference of the circle, which is 25 cm.

We know that C = 2πr, so we can substitute variables to find the radius (r).

25 = 2πr

r = 25/(2π)

r = 3.9788... cm

The area of a circle is A = π\(r^{2}\), so:

A = π \(3.9788^{2}\)

A = 49.7359... \(cm^{2}\)

A ≈ 49.7 \(cm^{2}\)

Answer:

3 divided by 4 will equal 0.75 which is equivalent to 0.75. or you can do 6/8 which will also equal 0.75. and 6/8 is equivalent to 3/4. so therefore it's confirmed that 3/4 is equivalent to 0.75

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg. The confidence interval in Part A is between 60.725 and 65.555 mpg.

To construct a 95% confidence interval for the mean fuel efficiency for this vehicle, we can use the formula:

Confidence interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

First, let's calculate the sample mean and standard deviation for the given data:

Sample mean = (57.5 + 62.3 + 67.2 + 58.1 + 59.6 + 71.9 + 55.2 + 57.6 + 71.9 + 68.8 + 69.1 + 65.3 + 62.3 + 64.7 + 59.9 + 62.1 + 63.5 + 62.9 + 66.7 + 61.3) / 20

= 63.14

Sample standard deviation = √(((57.5 - 63.14)² + (62.3 - 63.14)² + (67.2 - 63.14)² + ... + (61.3 - 63.14)²) / 19)

= 4.97

Next, we need to find the critical value for a 95% confidence level. Since the sample size is small (20), we will use a t-distribution. The degrees of freedom for this calculation is 20 - 1 = 19. Consulting a t-table or using statistical software, we find the critical value to be approximately 2.093.

Plugging the values into the formula, we get:

Confidence interval = 63.14 ± (2.093) * (4.97 / √(20)) ≈ 63.14 ± 2.415

Interpreting the confidence interval, we can say with 95% confidence that the true mean fuel efficiency for this vehicle falls between 60.725 and 65.555 mpg.

To determine if the new motorcycle has greater fuel efficiency than the previous model, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference in fuel efficiency between the two models, and the alternative hypothesis (Ha) is that the new model has greater fuel efficiency.

We can use a t-test to compare the means of two independent samples. The test statistic is calculated as:
t = (sample mean 1 - sample mean 2) / sqrt((sample variance 1 / sample size 1) + (sample variance 2 / sample size 2))

For this case, the sample mean for the new model is 65.9 mpg, and the sample standard deviation is 3.2 mpg. The sample mean and standard deviation for the previous model were calculated in Part A. We can use the same sample size of 20 for both models.

Calculating the test statistic:

t = (65.9 - 63.14) / √((4.97² / 20) + (3.2² / 20))

t ≈ 1.376

Looking up the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom at a 95% confidence level, we find it to be approximately 2.093.

Since the test statistic (1.376) is less than the critical value (2.093), we do not have enough evidence to convincingly claim that the new model has greater fuel efficiency than the previous model.

To construct a 98% confidence interval for the mean fuel efficiency of the older model, we can use the same formula as in Part A. The only difference is the critical value. For a 98% confidence level, the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom is approximately 2.861.

Plugging the values into the formula:

Confidence interval = 63.14 ± (2.861) * (4.97 / √(20))

≈ 63.14 ± 3.303

Interpreting the confidence interval, we can say with 98% confidence that the true mean fuel efficiency for the older model falls between 59.837 and 66.443 mpg.

The change in confidence level from 95% to 98% does not change the conclusion in Part B. The hypothesis test is based on comparing the test statistic to the critical value, and the confidence interval is based on the sample mean and standard deviation. The change in confidence level does not alter these values or the comparison between them.

To estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg, we need to calculate the sample size required. The formula for the sample size is:

Sample size = (Z-score * standard deviation / margin of error)²

Plugging in the values:

Z-score = critical value for the desired confidence level (let's assume 95%)

Standard deviation = 3.2 mpg (from the given data)

Margin of error = 0.5 mpg

Using a Z-score of approximately 1.96 for a 95% confidence level:

Sample size = (1.96 * 3.2 / 0.5)² ≈ 153.86

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg.

Learn more about confidence interval visit:

brainly.com/question/34299305

#SPJ11

f(x) is neither increasing nor decreasing at any point, and it does not have any maximum or minimum points. there is no global or local maximum of the function f(x).

(a)To determine whether f(x) is increasing or decreasing, we differentiate the function f(x).f(x) = e^(2x-2)f'(x) = 2e^(2x-2)Since f'(x) > 0 for all x, the function f(x) is increasing in its domain.

(b)  Justify your answer.Since f(x) is an increasing function in its domain, it does not have any maximum or minimum points. Therefore, there is no global or local minimum of the function f(x).

(c)  Justify your answer.Since f(x) is an increasing function in its domain, it does not have any maximum or minimum points. Therefore, there is no global or local maximum of the function f(x).

Hence, f(x) is neither increasing nor decreasing at any point, and it does not have any maximum or minimum points.

Know more about local maximum here,

https://brainly.com/question/29133164

#SPJ11

Answer:

Expand the expression.

x^ 4  −  4 x ^3  +  6 x ^2  −  4 x  +  1

The missing component in the reaction ¹⁴⁴Nd₆₀ ----> ⁴He₂ + X is ¹⁴⁰Ce₅₈ and thus b we can say that the correct solution is option

A nuclear equation is an equation in which a nucleus of a larger atom breaks into smaller nuclei or the smaller nuclei combine to form a larger nucleus. The former is known as the fission reaction and the latter is the fusion reaction.

In these reactions as well the law of conversation of mass is upheld thus the sum of the atomic mass and the sum of the atomic number is constant

Atomic mass in reactant = 144

Atomic mass in product = 4 + x

144 = 4 + x

x = 144 - 4 = 140

Atomic number in reactant = 60

Atomic mass in product = 2 + x

60 = 2 + x

x = 60 - 2 = 58

Thus, ¹⁴⁴Nd₆₀ ----> ⁴He₂ + ¹⁴⁰Ce₅₈

Learn more about Nuclear reaction:

https://brainly.com/question/27823859

#SPJ1

Answer:

B. Negative.

Step-by-step explanation:

Answer:

Step-by-step explanation:

B