The sum of two fractions can always be written as
а ______

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Explanation:

The given equation is in the form of ax^2+bx+c = 0

The coefficients are

According to Vieta's formula, we know that the roots of a quadratic multiply to c/a

In this case, the roots multiply to -3/2

Let p and q be the two roots. We're told that -3 is one of the roots, so p = -3. Let's find q.

pq = c/a

-3q = -3/2

q = (-3/2)*(-3/1)

q = 1/2

q = 0.5

The other root is 0.5

The product of the roots is -3*0.5 = -1.5 = -3/2 to confirm the answer.

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The longer way to solve would be to plug x = -3 into the equation and solve for k. You should get k = 5

Once you know the value of k, use the quadratic formula to find the two roots. You should get -3 and 1/2 = 0.5 as the two roots.

Answer:89/1000

Step-by-step explanation:

Answer:

\(\frac{89}{1000}\)  

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 972π cubic inches.

Answer:

972

Step-by-step explanation:

To solve this problem, Tyrone needs to know the rate of speed at which Amanda will be traveling, as this will affect how much gas she will need.

Tyrone didn't give us enough details to remedy the issue. Tyrone needs to know Amanda's speed in order to address the issue because it will determine how much gas she would use. He also needs to know the type of vehicle Amanda will be driving and the fuel efficiency of that vehicle. Knowing these factors will allow Tyrone to calculate how much gas Amanda will need for her trip.

The rate of speed is measured in units such as miles per hour (mph), kilometers per hour (km/h), or meters per second (m/s). The rate of speed will vary depending on the type of vehicle and the conditions of the road.

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Hello! The answer is 7.26! I didn't answer this question first, so please give the other person brainliest. :)

have a nice day! :)

If you decide to conduct research to look for associations among variables, you are likely to find either no association or some association.

When conducting research to explore associations among variables, the outcome can vary. You may encounter situations where there is no significant association between the variables being studied. This means that the variables are independent of each other, and their values do not vary systematically or predictably in relation to one another.

On the other hand, you may also discover that there is some association between the variables. This indicates that there is a relationship or connection between the variables, and changes in one variable are related to changes in another variable.

It is important to note that the strength and nature of the associations can vary. Associations can be strong or weak, positive or negative, linear or nonlinear, depending on the specific research question and the variables under investigation.

When conducting research to explore associations among variables, it is likely that you will find either no association or some association. The specific outcome will depend on the nature of the variables and the analysis conducted. It is essential to interpret the results carefully and consider the context and limitations of the study when drawing conclusions about the associations observed.

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Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.

In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.

But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.

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a) In this example, 56, though a sample, is the whole, not the part because it represents the total number of survey participants.

b) The percentage of the New Yorkers who said "having new experiences" was the most important was 0.36.

A sample is a group of people, objects, or items taken from a larger population to measure the findings about a population.

Sample statistics are used to make generalizations about the whole population.  Samples should be representative of the population.

Sample participants for the survey = 56

Participants who felt "having new experiences" was most important = 20

Participants who felt "good health" was most important = 16

Participants who said "a successful career" was most important = 14

The percentage of the New Yorkers who said "having new experiences" was the most important was 35.71% (20/56 x 100)

Thus, as a group, the sample size of 56, represents the whole.

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37 = -3 + 5(x + 6)

Distributing:

37 = -3 + 5(x) + 5(6)

37 = -3 + 5x + 30

Commuting:

37 = -3 + 30 + 5x

37 = 27 + 5x

27 is adding on the right, then it will subtract on the left.

37 - 27 = 5x

10 = 5x

5 is multiplying on the right, then it will divide on the left

10/5 = x

2 = x

Answer:

the first two are IRRATIONAL, the last 2 are RATIONAL

Step-by-step explanation:

Irrational numbers are not numbers that are properly expressed with regular digits, like 7. They look like they're being divided!

Answer: Rational numbers are squared 225 and 7.478478 and irrational is squared 23 and 1.010001000...

Step-by-step explanation:

I hope this helps you lad

Stay safe and stay awesome :D

The algebraic expression for the verbal expression 7 divided by the product of 9 and x is 7/9x.

Given verbal expression is 7 divided by the product of 9 and x.

Hence, the required algebraic expression for given verbal expression is 7/9x.

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The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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The probability shows that the expected number of cards given to people whose age matches the number on the card is 1.

How to compute the expected value?

From the information, a set of 1000 cards, numbered 1 through 1000, are distributed among 1000 people.

Let x be the random variable that's equal to the number of people who get a card.

Since we are looking for the expected value, this will be:

= E(X1 + X2 + .... X1000)

= 1

One example of a phenomenon that is commonly modeled as normally distributed is the heights of adult individuals in a population. The distribution of heights in a given population tends to follow a normal or Gaussian distribution.

The normal distribution is often observed in naturally occurring phenomena due to the central limit theorem. This theorem states that when independent random variables are added, their sum tends to be approximately normally distributed, regardless of the distribution of the original variables. Many biological characteristics, including height, tend to be influenced by multiple genetic and environmental factors that can be considered as a combination of various independent variables. Consequently, when these factors combine, the resulting distribution of heights approximates a normal distribution.

Estimating the mean and standard deviation of heights:

To estimate the mean and standard deviation of heights in a population, a representative sample of individuals can be measured. This sample should ideally be randomly selected to ensure it is representative of the entire population. The mean height of the sample would provide an estimate of the population mean, while the sample standard deviation would provide an estimate of the population standard deviation.

For example, if we measure the heights of 500 individuals in a population and calculate the sample mean as 170 cm and the sample standard deviation as 10 cm, these values can be considered estimates for the population mean and standard deviation, respectively. These estimates are based on the assumption that the sample is representative of the entire population.

It's important to note that the mean and standard deviation can vary among different populations or demographic groups, such as males and females or different age ranges. Thus, specific estimates for mean and standard deviation should be obtained based on the relevant population or subgroup of interest.

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Answer:

1. B)

2. I)

Step-by-step explanation:

Answer:

A. 10+2r

F. 11n+33

3.5.7.15, which is an odd number, equals 15.

18. 6 plus (5 times 7) equals 41, an odd number.

3 x 3/2 = 19, which is not a whole number, equals 4.5.

We can look at the sum of any three odd numbers, such as 3 + 5 + 7, to find a counterexample to demonstrate that the adage "The sum of any three odd numbers is even" is untrue. The outcome of adding these three odd numbers together is 15, which is both an odd and an odd number. This demonstrates that the claim is untrue. We can look at an example like when 6 is added to the product of two odd numbers, like 5 and 7, to find a counterexample to demonstrate that the adage "When an even number is added to the product of two odd numbers, the result will be even," is untrue. The outcome of adding 6 to the product of 5 and 7 is 41, an odd number that is not an even number. This demonstrates that the claim is untrue.

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Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.

To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.

To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.

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To solve the given linear programming (LP) problem using the graphical LP approach, we will plot the feasible region, identify the corner points, and determine the optimal solution.

Here are the steps:

Step 1: Plot the constraints:

- Plot the line 5x + y = 32, which represents the constraint 5x + y ≤ 32. To do this, find two points that lie on this line by assigning values to x and solving for y. For example, when x = 0, y = 32, and when x = 6, y = 2. Connect these points to draw the line.

- Plot the line x + 3y = 12, representing the constraint x + 3y ≥ 12. Again, find two points on this line and connect them. For instance, when x = 0, y = 4, and when x = 12, y = 0.

- Draw the lines representing x = 20 and y = 20 as vertical and horizontal lines passing through x = 20 and y = 20, respectively.

Step 2: Identify the feasible region:

- Shade the area that satisfies all the constraints. The feasible region is the intersection of the shaded regions.

Step 3: Identify the corner points:

- Find the coordinates of the corner points of the feasible region. These points are the intersections of the lines representing the constraints.

Step 4: Evaluate the objective function:

- Calculate the objective function Z = 3x + 12y for each corner point.

Step 5: Determine the optimal solution:

- Identify the corner point that gives the minimum value of the objective function Z. This point corresponds to the optimal solution of the LP problem.

Once you have completed these steps, you will have the complete solution to the LP problem using the graphical LP approach.

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Answer:

  (b)  h = 37.3

Step-by-step explanation:

You want the value of h if an angle of a regular 16-gon is given as (5h-29)°.

The interior angle measure of a regular n-gon is given by ...

  θ = 180° -360°/n

For n=16, the interior angle measure is ...

 θ = 180° -360°/16 = 157.5°

The value of h can be found by solving the equation ...

  5h -29 = 157.5

  5h = 186.5 . . . . . . add 29

  h = 37.3 . . . . . . . divide by 5

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The formula to calculate the volume of the brick is given to be:

We have the following dimensions, converted to meters, as follows:

Therefore, the volume is:

Answer:

c

Step-by-step explanation:

The expressions that represent the derivative of the function y = f(x) are dy/dx, l'(x), and lim h->0 [f(x+h) - f(x)]/h. These expressions show the rate of change of y with respect to x at any given point on the function.

The other expressions, such as S(x) + f(h), xth dh/dx, lim 10 f(x) + f(h) x+h, and lim 1-0 F(x +h)-f(x)/h, are not equivalent to the derivative of the function. It is important to understand and use the correct expressions for the derivative in order to accurately analyze and interpret the behavior of a given function.

The expressions that represent the derivative of the function y = f(x) are:

1. lim (x→0) [f(x + h) - f(x)] / h
2. dy/dx
3. f'(x)
4. dh/dx

These expressions are used to describe the rate of change of the function y = f(x) with respect to the variable x. They can be used to find the slope of the tangent line to the curve at any given point or to analyze the behavior of the function.

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Answer:

576 (square yards)

Step-by-step explanation:

length of slanted height of triangle = √(6² + 8²)

= √100

= 10.

surface area = area of 2 triangle faces + area of 3 lengths

= 2 (1/2 X 12 X 8) + 3 (10 X 16)

= 576 (square yards)

Hey there!

If you do this, I would suggest saying "strongly agree"

This means that you can solve them using strategies that make it easier.

Have a super awesome day! :)

Answer:

q + (9+r)

Step-by-step explanation:

you put the parenthesis because 9 and r must first be added before adding them to q

Hope this helps!

Answer: 804.25 cm sq.

Step-by-step explanation:

A = 4 π r^2

A = 4 π 8^2

A = 4 π 64

A = 804.25 cm sq.

5/8 teaspoon yeast is to be added

Answer:

\(-39\sqrt{3}\)

Step-by-step explanation:

Given expression:

\(\frac{1}{2}\sqrt{48}-5\sqrt{147}-\sqrt{108}\)

Rewrite 48 as 4²·3, 147 as 7²·3 and 108 as 6²·3:

\(\implies \frac{1}{2}\sqrt{4^2 \cdot 3}-5\sqrt{7^2 \cdot 3}-\sqrt{6^2 \cdot 3}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies \frac{1}{2}\sqrt{4^2} \sqrt{3}-5\sqrt{7^2} \sqrt{3}-\sqrt{6^2} \sqrt{3}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies \frac{1}{2}\cdot 4} \sqrt{3}-5\cdot7 \sqrt{3}-6 \sqrt{3}\)

Simplify:

\(\implies 2 \sqrt{3}-35 \sqrt{3}-6 \sqrt{3}\)

Factor out the common term √3:

\(\implies (2 -35-6) \sqrt{3}\)

Carry out the subtraction inside the parentheses:

\(\implies -39\sqrt{3}\)

Answer:

\(f(5)=9\)

Step-by-step explanation:

\(f(5)=2(5+3)-7=2(8)-7=16-7=9\)