Given f(x)=9x^2 find f(-3)

2/3 + 1/4 = 11/12

Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.

Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.

When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.

Here are a few examples of adding fractions with unlike denominators:

2/3 + 1/4

We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.

So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.

We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.

Now we can add the fractions by adding the numerators: 8/12 + 3/12 =

1/5 + 2/7

We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.

So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.

We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.

So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.

We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.

Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12

So, 3/4 + 1/3 = 13/12

It's important to note that when adding fractions, it's also important to simplify the final result if possible.

To know more about FRACTIONS refer here

brainly.com/question/10354322#

#SPJ11

The inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:

\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)

To find the inverse Laplace transform of ℒ−1 8s − 16 (s2 s)(s2 1), we can first simplify the expression:

\(8s - 16 (s^2 + 1)(s^2 + s)= 8s - 16 (s^4 + s^3 + s^2 + s)= -16s^4 - 16s^3 + 8s^2 - 16s\)

We can then use partial fraction decomposition to write this expression as a sum of simpler fractions:

\(-16s^4 - 16s^3 + 8s^2 - 16s = (-4s^2 + 4s - 4)/(s + 1) + (-4s^2 - 8s)/(s^2 + 1) + (-4s)/(s^2 + 1)\)

To find the inverse Laplace transform of each term, we can use theorem

\(L^-1 (-4s^2 + 4s - 4)/(s + 1) = -4L^-1 (s + 1) + 4ℒ^-1 1 = -4(e^-t - 1)\\L^-1 (-4s^2 - 8s)/(s^2 + 1) = -4L^-1 (s + 2i)/(s^2 + 1) = -4e^(-t) sin(t)\\ℒ^-1 (-4s)/(s^2 + 1) = -4ℒ^-1 (s/(s^2 + 1)) = -4cos(t)\)
Therefore, the inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:

\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)

learn more about inverse Laplace transform

https://brainly.com/question/31322563

#SPJ11

To find the probability of drawing two blue marbles from a bag containing two blue and three red marbles, you can follow these steps:

Step 1: Determine the total number of marbles in the bag.
There are 2 blue marbles and 3 red marbles, so there are a total of 5 marbles in the bag.

Step 2: Calculate the probability of drawing the first blue marble.
There are 2 blue marbles and 5 total marbles, so the probability of drawing the first blue marble is 2/5.

Step 3: Update the bag's contents after drawing the first blue marble.
After drawing one blue marble, the bag now contains 1 blue marble and 3 red marbles, making a total of 4 marbles.

Step 4: Calculate the probability of drawing the second blue marble.
With 1 blue marble and 4 total marbles remaining in the bag, the probability of drawing the second blue marble is 1/4.

Step 5: Determine the overall probability of drawing two blue marbles.
To find the probability of both events happening, multiply the individual probabilities together: (2/5) * (1/4) = 2/20 or 1/10.

So, the probability of drawing two blue marbles consecutively from the bag is 1/10 or 10%.

learn more about probability here: brainly.com/question/30034780

#SPJ11

Required rate of retum for each stock is:

Based on the CAPM and the analyst's expected return estimates, Stock A is overvalued, Stock B is fairly valued, and Stock C is undervalued.

How to determine the required rate of return for each stock.?

The CAPM equation is Rj = Rf + Bj x (Rm - Rf), where Rj is the required rate of return for the stock, Rf is the risk-free rate, Bj is the beta of the stock, and Rm is the market return.

Using the graph provided, we can see that Stock A has a beta of 0.5, Stock B has a beta of 1.0, and Stock C has a beta of 1.5. Given that the risk-free rate is 6% and the market return is 10%, we can calculate the required rate of return for each stock:

Next, we can compare the analyst's expected return estimates for each stock to their required rate of return to determine if they are undervalued, overvalued, or fairly valued. If the expected return is higher than the required rate of return, the stock is undervalued and may be a good investment.

If the expected return is lower than the required rate of return, the stock is overvalued and may not be a good investment. If the expected return is equal to the required rate of return, the stock is fairly valued.

For Stock A, the analyst expects a return of 7%, which is lower than the required rate of return of 8%. Therefore, Stock A is overvalued.

For Stock B, the analyst expects a return of 10%, which is equal to the required rate of return of 10%. Therefore, Stock B is fairly valued.

For Stock C, the analyst expects a return of 13%, which is higher than the required rate of return of 12%. Therefore, Stock C is undervalued.

Learn more about market return.

brainly.com/question/29569139

#SPJ11

Answer:

Step-by-step explanation:

y = f(x) = - 2x + 3

f(0) = 3

f(2) = - 2(2) + 3 = - 1

f(- 6) = - 2(- 6) + 3 = 15

Range is {3, -1, 15}

Answer:

\(tan A=\frac{\sqrt{3} }{3}\)

Explanation:

tan = opposite/adjacent

tan A = BC/AC

tan A = 5/√75

tan A = 5/√(25×3)

tan A = 5/5√3

tan A = 1/√3

tan A = 1/√3 × √3/√3 (rationalizing the denominator)

tan A = √(3)/3

\(tan A=\frac{\sqrt{3} }{3}\)

Answer:

x-17

Step-by-step explanation:

Answer:

x-17

I might be incappable

Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

Using implicit differentiation dz/dt = -34

Differentiation is the process of finding the derivative of a function.

Since x² + y² + z² = 9, dx/dt = 8, and dy/dt = 9, we need to find dz/dt when (x, y, z) = (2, 2, 1).

So, differentiating implicitly and also applying the chain rule, we have that

x² + y² + z² = 9

d(x² + y² + z²)/dt = d9/dt

dx²/dx × dx/dt  + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt

2xdx/dt  + 2ydy/dt + 2zdz/dt = 0

xdx/dt  + ydy/dt + zdz/dt = 0

Making dz/dt subject of the formula, we have that

zdz/dt = -(xdx/dt  + ydy/dt)

dz/dt =  -(xdx/dt  + ydy/dt)/z

Given that

Substituting the values of the variables into the equation, we have that

dz/dt =  -(xdx/dt  + ydy/dt)/z

dz/dt =  -(2 × 8  + 2 × 9)/1

= -(16 + 18)/1

= - 34

So, dz/dt = -34

Learn more about implicit differentiation here:

https://brainly.com/question/29543075

#SPJ1

The question is incomplete. Here is the complete question

If  x² + y² + z²  = 9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x, y, z) = (2, 2, 1).

Answer: 0.5

Step-by-step explanation:

Given

Line passes through \((-10,-30), (0,-25), (10,-20), \text{and}\ (20,-15)\)

The slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Taking any two points: (0, -25) and (20,-15)

Slope is

\(\Rightarrow m=\dfrac{-15-(-25)}{20-0}=\dfrac{10}{20}\\\\\Rightarrow m=0.5\)

h'(4) = 7. This means that the derivative of the function h(x) at x = 4 is equal to 7.The positive value of h'(4) indicates that at x = 4, the function h(x) is increasing, with a slope of 7.

To find h'(4), where h(x) = f(x) * g(x), we'll use the product rule of differentiation. The product rule states that the derivative of a product of two functions is given by the derivative of the first function times the second function, plus the first function times the derivative of the second function.

Given:

f(4) = 3

g(4) = 4

f'(4) = -2

g'(4) = 5

Let's differentiate h(x) using the product rule:

h'(x) = f'(x) * g(x) + f(x) * g'(x)

Substituting the given values at x = 4:

h'(4) = f'(4) * g(4) + f(4) * g'(4)

      = (-2) * 4 + 3 * 5

      = -8 + 15

      = 7

To learn more about function, click here:

brainly.com/question/30721594

#SPJ11

Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

Learn more about LPM here:

https://brainly.com/question/30890632

#SPJ4

Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

For such more question on subtract

https://brainly.com/question/28467694

#SPJ8

The distance between Ben and Dolphin will be 115.47 feet and the distance between Ben and Paulo will be 57.74 feet.

Based on the information given, using trigonometric ratios, we'll have:

Sin A = CD/AC

Sin 60° = 100/AC

AC = 100/✓3/2

AC = 115.47

Tan A = CD/DA

DA = 100/Tan 60°

DA = 100/✓3

DA = 57.74

Learn more about distance on:

brainly.com/question/17273444

#SPJ1

Answer:

A,B,E,F those the answer i have EOC review packet done

Step-by-step explanation:

Points, lines and planes are undefined terms in geometry.

The true statements are:

First, we test each option to determine the true and false options.

(a) S, V and U are collinear

Points that are collinear are on the same line

S, V and U are not collinear, because they are not on the same line.

Hence, (a) is false

(b) Q, S, T and U are coplanar

Points that are coplanar are on the same plane

Q, S, T and U are not coplanar, because they are not on the same plane.

Hence, (b) is false

(c) V lies on line ST

Point V is the point of intersection of line ST and plane A

This means that point V lies on line ST and plane A

Hence, (c) is true

(d) ST is perpendicular to plane A

Line ST intersects with plane A at point V at 90 degrees.

Perpendicular lines and planes meet at 90 degrees

Hence, (d) is true

(e) ST is perpendicular to RV

Because line ST intersects with plane A at point V at 90 degrees.

Any line drawn from point V would be perpendicular to line ST

Hence, (e) is true

(f) P, R and Q are collinear

Points that are collinear are on the same line

P, R and Q are not collinear, because they are not on the same line.

Hence, (f) is false

Read more about lines, planes and points at:

https://brainly.com/question/1887287

Answer:

x = 62°

Step-by-step explanation:

the top-most angle in the top isosceles triangle must be 73° also

the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°

the left portion of the right angle must be 56°

you can find by using this equation:  x + x + 56 = 180

2x = 124

x = 62

Answer:

22

Step-by-step explanation:

just simple deduction

The probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

The probability mass function (PMF) and cumulative mass function (CMF) for the random variable x, which denotes the number of parts correctly classified in an optical inspection system, can be determined.

Since the classifications of the parts are independent, we can use the binomial probability distribution to model this scenario. The PMF gives the probability of obtaining a specific value of x, and the CMF gives the probability of obtaining a value less than or equal to x.

The PMF of x is given by the binomial probability formula:

P(x) = (n C x) * p^x * (1 - p)^(n - x)

where n is the number of trials (number of parts inspected), x is the number of successes (number of parts correctly classified), and p is the probability of success (probability of correct classification of any part).

In this case, n = 3 (three parts inspected) and p = 0.98 (probability of correct classification).

Let's calculate the PMF for x:

P(x = 0) = (3 C 0) * (0.98^0) * (1 - 0.98)^(3 - 0) = 0.0004

P(x = 1) = (3 C 1) * (0.98^1) * (1 - 0.98)^(3 - 1) = 0.0588

P(x = 2) = (3 C 2) * (0.98^2) * (1 - 0.98)^(3 - 2) = 0.3432

P(x = 3) = (3 C 3) * (0.98^3) * (1 - 0.98)^(3 - 3) = 0.941192

The PMF for x is:

P(x = 0) = 0.0004

P(x = 1) = 0.0588

P(x = 2) = 0.3432

P(x = 3) = 0.941192

To calculate the CMF, we sum up the probabilities up to x:

F(x) = P(X ≤ x) = P(x = 0) + P(x = 1) + ... + P(x = x)

Using the calculated probabilities, the CMF for x is:

F(x = 0) = 0.0004

F(x = 1) = 0.0592

F(x = 2) = 0.4024

F(x = 3) = 1.0

Therefore, the probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

There is a 0.2428 percent chance that the sample comprises exactly three graduate students.

Given That,

15% of the students at a big western university are graduate students. If five students are chosen at random as a sample

What is Binomial Distribution ?

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.

This is a binomial distribution, the probability distribution function is

P(X =x) = C^320 (0.15)^3(1-0.15)^20-3

           = [(20x19x18)/2x3](0.15)^3(1-0.15)^20-3

           = 0.2428

As a result, 0.2428 is the likelihood that the sample contains exactly three graduate students.

To learn more about binomial distribution speed click here:

brainly.com/question/10741251

#SPJ4

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

To know more about observation visit-

brainly.com/question/21053033

#SPJ11

Answer:

13.45 cm

Step-by-step explanation:

Mark as brainliest

Answer:

AB = 4

Step-by-step explanation:

AB + BC = AC

Substitute the line segments for their given values:

AB + 38 = 42

Subtract both sides by 38:

AB = 42 - 38

AB = 4

Check your work:

4 + 38 = 42

42 = 42

Correct!

Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

To know more about Standard Deviation here.

https://brainly.com/question/16555520

#SPJ4

Answer:

look its really simple like if there is written the father age is two times than its son and its is also said sum of their age becomes 25 then

Step-by-step explanation:

solution,

let father and son age be x and y

2x =y ---------------(i)

x+y=25----------------(ii)

now,

putting the value of y in equation two we get,

x+(2x)=25

3x=25

x=25/3

x=8 yrs ( using round off)

again,

2x = y

2×8=y

16=y

therefore, father age is 16 and son age is 8

mark me brianliest

Answer:

Step-by-step explanation:

a=graph

b= x=2

Answer:

4:2:3

Step-by-step explanation:

First you need to divide each number by a common factor like 2.

1. 16:8:12

Divide all numbers by two

8:4:6

Divide by two again

4:2:3

Since, you cannot simplify all of them again, the asnwer is

4:2:3

Answer:

4:2:3

Step-by-step explanation:

Blue : Green : Red

 16   :      8    :  12

  4   :       2   :    3

Answer:

8:19

Step-by-step explanation:

Ball B:  diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

=  8:19 answer

Answer:60 and 80

Step-by-step explanation:

A non-deterministic environment is one in which actions are characterized by their possible outcomes, but no probabilities are attached to them.

It is impossible to predict the outcome because it is likely to differ every time: We can take a non-deterministic stance and consider the social structure to be a complex, unstable, and dynamic system.

A non-deterministic environment is one where actions are characterized by their potential consequences but no probabilities are associated with them. The term "stochastic" normally indicates that uncertainty about outcomes is quantified in terms of probability.

Know more about non-deterministic

https://brainly.com/question/28104525

#SPJ4