Help me out fast please

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16\(t^{2}\) + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16\((3)^{2}\) + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = \(\frac{df(t)}{dt}\) = \(\frac{d(-16t^{2} + 600) }{dt}\) = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

#SPJ1

Answer:

50°

Step-by-step explanation:

Let :

Let the angle = x

Second angle = x + 10

Third angle = x - 10

Sum of angles in a triangle = 180

x + (x + 10) + (x - 10) = 180

x + x + 10 + x - 10 = 180

3x = 180

x = 180 / 3

x = 60

Smallest angle :

x - 10 = 60 - 10 = 50°

The answer to your question is that the number of snacks grabbed for Class A has less variability than the number of snacks grabbed for Class B.

Based on the information provided, the dotplots display the number of bite-size snacks grabbed by students in two statistic classes, Class A and Class B. It is stated that Class A has 32 students and Class B has 34 students.


Variability refers to the spread or dispersion of data. In this case, it is mentioned that the number of snacks grabbed for Class A has less variability than the number of snacks grabbed for Class B. This means that the data points in the dot-plot for Class A are more clustered together, indicating less variation in the number of snacks grabbed. On the other hand, the dot-plot for Class B likely shows more spread-out data points, indicating a higher degree of variability in the number of snacks grabbed by students in that class.

Learn more about  variability: https://brainly.com/question/32503673

#SPJ11

Answer:

x=1

Step-by-step explanation:

x=1

1/8

multiply the denominator and numerator by 8, and it will match 8/64

x=1

1/8

It would match 8/64

The difference of the polynomials (8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4) simplifies to 8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6.

To find the difference of the given polynomials, we subtract the second polynomial from the first polynomial term by term.

(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)

Removing the parentheses and combining like terms, we get:

8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6

Therefore, the difference of the polynomials is 8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6. This is the simplified form of the polynomial expression obtained by subtracting the second polynomial from the first polynomial.

For more information on polynomials visit: brainly.com/question/4976118

#SPJ11

Answer:

1) El valor de los ocho helados de crema es 76,48 pesos, 2) El valor total de la compra es 85,97 pesos, 3) A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Step-by-step explanation:

Supóngase que los costes son en pesos mexicanos. (MXN)

1) ¿Cuál es el valor de los ocho helados y que operación debe realizar?

Se multiplicar la cantidad de helados comprados por su valor unitario, es decir:

\(x = (8\,helados)\cdot \left(9,56\frac{MXN}{helado} \right)\)

\(x = 76,48\,MXN\)

El valor de los ocho helados de crema es 76,48 pesos.

2) ¿Cuál es el valor total que debe pagar en la tienda?

El valor total es la suma de todos los costes de los elementos comprados:

\(y = 76,48\,MXN + (1\,papa)\cdot \left(3,70\,\frac{MXN}{papa} \right)+(1\,gaseosa)\cdot \left(4,525\frac{MXN}{gaseosa} \right)+(1\,chocolatina)\cdot \left(1,267\,\frac{MXN}{chocolatina} \right)\)

\(y = 85,97\,MXN\)

El valor total de la compra es 85,97 pesos.

3) Si Miguel tiene en su bolsillo $99,56. ¿Cuánto dinero le queda después de pagar en el supermercado?

El remanente se obtiene al sustraer el valor total de la compra del efectivo disponible:

\(z = 99,56\,MXN-85,97\,MXN\)

\(z = 13,59\,MXN\)

A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Answer:

17 hours

Step-by-step explanation:

I hope this helps!

Answer:use some caulk

Step-by-step explanation:

I am a handy man myself

Answer:

17

Step-by-step explanation:

The image is not too clear. Let us assume we need the base AB

AB  = opposite

BC = hypotenuse

Sin theta = opp/hyp

Sin 37 = AB/BC

Sin 37 = AB/28

AB = 28sin37

AB = 28(0.6018)

AB = 16.85

AB ≈ 17

Hence the length of AB is 17

The slope of the line shown in the figure having equation x + 2y = 0 is 1/2.

The point A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and Point C is at ( -2 , 2 ).

Let point D be at ( -4 , 1 ).

Now the new triangle is ΔBDA and the corner points are A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and  point D is at ( -4 , 1 ).

The equation of line passing through two points  is given by:

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

The equation of line passing through two points A( -2 , 1 ) and B( -4 , 2 ) IS

y - 1 = ((2-1)/(-4-(-2)))  (x-(-2))

y - 1 = (1/(-2)) (x+2)

2y -2 = -x -2

x + 2y = 0

The equation of straight line is x + 2y = 0

The equation in slope intercept form can be written as,

y = x/2 + 0

Slope = m = 1/2

Intercept = c = 0

So, we can conclude that 1/2 is the slope of the line .

To know more about Slope - intercept form refer to link:

https://brainly.com/question/1884491

#SPJ1

Answer:

20u-26

Step-by-step explanation:

To find the perimeter we have to add up all the sides

9u-6+u-7+9u-6+u-7

Combine light terms and we get

20u-26

Nick sold twice as many songs as Bianca since 4x10^6 is twice as much as 8x10^5. To explain this further, we can break down the numbers and compare them. Bianca sold 8x10^5 downloads, which is the same as 800,000 downloads. Nick sold 4x10^6 downloads, which is the same as 4,000,000 downloads.

To find out how many times as much Nick sold compared to Bianca, we can divide the number of Nick's downloads by the number of Bianca's downloads:

4,000,000 / 800,000 = 5

So Nick sold five times as many songs as Bianca.

It's important to note that the original question asked how many times as much the number of songs Nick sold as compared to Bianca, not the amount of money they made from selling their songs. While Nick sold more songs than Bianca, it's possible that Bianca made more money from her sales if her songs were higher in price. However, based solely on the number of downloads, Nick sold five times as many songs as Bianca.

Learn more about price, here:

brainly.com/question/28509425

#SPJ11

To find out how many times as much Nick sold compared to Bianca, we can divide the number of Nick's downloads by the number of Bianca's downloads:

4,000,000 / 800,000 = 5

So Nick sold five times as many songs as Bianca.

It's important to note that the original question asked how many times as much the number of songs Nick sold as compared to Bianca, not the amount of money they made from selling their songs. While Nick sold more songs than Bianca, it's possible that Bianca made more money from her sales if her songs were higher in price. However, based solely on the number of downloads, Nick sold five times as many songs as Bianca.

Learn more about price, here:

brainly.com/question/28509425

#SPJ11

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

Learn more about 95% confidence interval here:

https://brainly.com/question/15683202

#SPJ4

The giraffe is 15 feet tall based on the relation between the length of neck of giraffe and it's height.

Firstly convert the mixed fraction to fraction.

Length of neck of giraffe = (4×2)+1/2

Length of neck = 9/2 feet

Now, let us assume the height of giraffe be x. So, equation will be -

30% × x = 9/2

Rewriting the equation

30/100 × x = 9/2

Cancelling zero

3x/10 = 9/2

Again rewriting the equation

x = 90/6

Performing division on Right Hand Side of the equation

x = 15 feet

Thus, height of giraffe is 15 feet.

Learn more about equations -

https://brainly.com/question/2972832

#SPJ4

The slope of the line which follows is  0.50 and height of the tent 5 feet from the outside pole will be 12.5.

The rise to run ratio is known as the slope. From 10 feet to 25 feet, there is a 15-foot increase. The run is 30 feet from the edge to the center.

slope = rise/run

= 15 /30 = 1/2

= 0.50

25 feet from the center pole is equivalent to 5 feet from the outer pole.

The rise at 25 feet from the central pole is now determined by

rise = m*run

=-12.5

As a result, the height of the pole decreases by 12.5 feet as one moves 25 feet from the central pole to the outside pole.

Consequently, the tent's height at 5 feet from the outside pole would be 25 - 12.5 = 12.5 feet.

To learn more about height and distance

https://brainly.com/question/29635080

#SPJ4

An example of an adverse selection problem is in the insurance industry. Suppose an insurance company offers health insurance policies without thoroughly assessing the health condition of individuals.

In this case, individuals with pre-existing medical conditions or high-risk behaviors are more likely to purchase insurance compared to healthy individuals. This creates adverse selection because the insurance company ends up covering a disproportionate number of high-risk individuals, which can lead to increased costs and potential financial losses for the insurer.

Possible solutions to the adverse selection problem in insurance include:

Underwriting and Risk Assessment: Insurance companies can implement stricter underwriting processes and assess the health risks of individuals before providing coverage. By gathering more information about the insured individuals' health conditions and behaviors, the insurance company can more accurately price their policies and mitigate adverse selection.

Risk Pooling: Creating larger risk pools by attracting a diverse group of individuals can help balance the risk distribution. By having a mix of healthy and high-risk individuals, the impact of adverse selection can be reduced, and the costs can be spread more evenly.

Moral Hazard Problem:

An example of a moral hazard problem can be found in the financial sector. Consider a scenario where a bank lends money to a borrower to start a business. After receiving the funds, the borrower may engage in risky investments or mismanage the funds, knowing that they are not fully liable for the loan repayment if the business fails. This creates a moral hazard problem because the borrower has an incentive to take on greater risks since they are shielded from the full consequences of their actions.

Possible solutions to the moral hazard problem in lending include:

Risk-Based Pricing: Implementing risk-based pricing can align the interests of borrowers and lenders. By charging higher interest rates or requiring collateral for riskier loans, lenders can account for the potential moral hazard and discourage borrowers from taking excessive risks.

Monitoring and Contractual Agreements: Lenders can monitor borrowers' activities and set contractual agreements that impose penalties or restrictions on certain behaviors. Regular reporting and performance evaluation can help mitigate the moral hazard problem by holding borrowers accountable for their actions.

Incentives and Alignment: Aligning the interests of borrowers and lenders through performance-based incentives can help mitigate moral hazard. For example, structuring loan agreements with profit-sharing arrangements or tying loan repayment terms to the success of the business can motivate borrowers to act responsibly and reduce the likelihood of moral hazard.

It's important to note that each situation may require a tailored approach to address adverse selection or moral hazard effectively. The specific solutions will depend on the industry, context, and stakeholders involved.

Learn more about Risk Assessment here -: https://brainly.com/question/1224221

#SPJ11

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

Learn more about conditional statement here:

https://brainly.com/question/30612633

#SPJ11

The complete solution to the given ordinary differential equation (ODE)is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

To solve the second-order ordinary differential equation (ODE) using the method of undetermined coefficients, we assume a particular solution of the form:

\(y_p(x) = A e^{-2x}\)

where A is a constant to be determined.

Next, we find the first and second derivatives of \(y_p(x)\):

\(y_p'(x) = -2A e^{-2x}\\y_p''(x) = 4A e^{-2x}\)

Substituting these derivatives into the original ODE, we get:

\(4A e^{-2x} - 4(-2A e^{-2x}) - 12(A e^{-2x}) = 10e^{-2x}\)

Simplifying the equation:

\(4A e^{-2x} + 8A e^{-2x} - 12A e^{-2x} = 10e^{-2x}\)

Combining like terms:

\((A e^{-2x}) = 10e^{-2x}\)

Comparing the coefficients on both sides, we have:

A = 10

Therefore, the particular solution is:

\(y_p(x) = 10e^{-2x}\)

To find the complete solution, we need to find the homogeneous solution. The characteristic equation for the homogeneous equation y'' - 4y' - 12y = 0 is:

r² - 4r - 12 = 0

Factoring the equation:

(r - 6)(r + 2) = 0

Solving for the roots:

r = 6, r = -2

The homogeneous solution is given by:

\(y_h(x) = C1 e^{6x} + C2 e^{-2x}\)

where C1 and C2 are constants to be determined.

Using the initial conditions y(0) = 3 and y'(0) = -14, we can solve for C1 and C2:

y(0) = C1 + C2 = 3

y'(0) = 6C1 - 2C2 = -14

Solving these equations simultaneously, we find C1 = 5 and C2 = -2.

Therefore, the complete solution to the given ODE is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

The question is:

Use the method of undetermined coefficients to solve the second order ODE y'' - 4 y' - 12y = 10\(e ^{- 2x}\), y(0) = 3, y' (0) = - 14

To know more about differential equation:

https://brainly.com/question/32645495

#SPJ4

Answer:

Below

Step-by-step explanation:

(3y + 2l )z + (4y + 5l) p = 38y+37 l     <=======given   ( y = eyes , l = legs)

z 2l + p5l = 37 l       <===separating out the' l ' part

2z + 5p = 37

3y z + 4y p = 38y     <====== taking out the 'y' part

3z  + 4 p = 38     Solve the two underlined simultaneous equations

                  multiply first one by - 1.5   then add to second one to get:

-3z -7.5p = - 55.5   <=====  solve for p

     -3.5 p = - 17.5

           p = 5     then   z = 6

Answer:

x= 0.5

Step-by-step explanation:

10x=5

First divide one side by 10 to isolate x, then divide 5 by 10

This makes x equal 0.5

Answer:

True

Step-by-step explanation:

True. A z-score, also known as a standard score, is a statistical measure that helps to determine how far a particular value is from the mean relative to the data set's standard deviation.

A z-score is a dimensionless quantity that expresses the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean.

To calculate the z-score for a given value, the formula is: z = (x - μ) / σ where z is the z-score, x is the value being considered, μ is the mean of the data set, and σ is the standard deviation of the data set.

For example, if the mean of a data set is 50 and the standard deviation is 10, and we are interested in finding the z-score for a value of 65, the calculation would be: z = (65 - 50) / 10 = 1.5. This indicates that the value of 65 is 1.5 standard deviations above the mean of the data set.

Z-scores are useful for comparing values across different data sets or for identifying extreme values in a data set. Values with high positive or negative z-scores are typically considered to be outliers, indicating that they are further from the mean than most other values in the data set.

In summary, the statement "z-score helps to determine how far a particular value is from the mean relative to the data set's standard deviation" is true. Z-scores are a statistical measure that help to express the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean.

For more such questions on Z-score.

https://brainly.com/question/15016913#

#SPJ11

Answer:

2&3

Step-by-step explanation:

They have the same absoulte value

You have to go 18 numbers to get from each other.

They are opposite numbers.

One is negative and one is positive.

Hope it Helps

Answer

-11.76 dollars

Step-by-step explanation

First, we need to calculate the probability of winning, that is, the probability of drawing three black cards in succession without replacement.

In the beginning, there are a total of 52 cards, and 26 of them are black, then the probability that the first card drawn is black is:

After drawing 1 black card, there are a total of 51 cards, and 25 of them are black, then the probability that the second card drawn is black is:

After drawing 2 black cards, there are a total of 50 cards, and 24 of them are black, then the probability that the third card drawn is black is:

Therefore, the probability of winning, that is, the three cards are black is calculated as follows:

The probability of losing is the complement of the probability of winning, that is,

Finally, the expected value is calculated as follows:

The confidence interval is (5.0, 5.4)

To determine the confidence interval, we have that

First, determine the mean, we get;

The sample mean is expressed as;

Mean = (5.3 + 5.0 + 5.1 + 5.3) / 4 = 5.2

Then, determine the standard deviation, we have;

standard deviation = sqrt[((5.3-5.2² + (5.0-5.2)² + (5.1-5.2)² + (5.3-5.2)^²)/3]

Square the value and divide by the divisor, we have;

standard deviation = 0.1

The 95% confidence interval for the mean weight of all bags of tomatoes is then determined as;

CI = mean  ± z×(s/√n)

Substitute the values, we get;

CI = 5.2 ± 1.96×(0.1/√4)

Divide the values, we have;

= (5.0, 5.4)

Learn more about confidence interval at: https://brainly.com/question/15712887

#SPJ4

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
Read more about trigonometric here;https://brainly.com/question/13729598
#SPJ11

Answer:

18%

Step-by-step explanation:

Take:

$979-$799=180

$180divided by $979 multiply by 100%

Answer:Steve age will be 15 y.o

Step-by-step explanation: