Identify the excluded values of this product. Then rewrite the product in simplest form.

Answers

Answer 1

$ \frac{6 {y}^{2} + 18y - 60 }{3 {y}^{2} - 12y } \times \frac{ {y}^{2} - 16 }{ {y}^{2} + 2y - 8} \\ \\ \frac{ {6y + 30y - 12y - 60}^{2} }{3y(y - 4)} \times \frac{ {(y)}^{2} - ( {4)}^{2} }{ {y}^{2} + 4y - 2y - 8 } \\ \\ \frac{6y(y + 5) - 12(y + 5)}{3y(y - 4)} \times \frac{(y + 4)(y - 4)}{y(y + 4) - 2(y + 4)} \\ \\ \frac{(6y - 12)(y + 5)}{3y(y - 4)} \times \frac{(y + 4)(y - 4)}{(y + 4)(y - 2)} \\ \\ \frac{6(y - 2)(y + 5)}{3y(y - 2)} \\ \\ \frac{2(y + 5)}{y} .$

Related Questions

5. Ingrid's
baby brother weighed 6
pounds 6 ounces when he was born.
He has gained 1 pound 3 ounces
since then. What is her baby brother's
current weight, in ounces?

Answers

Ingrid's baby brother's current weight in ounces is 102 + 19 = 121 ounces.

how to solve this equation?

Ingrid's Baby brother weighed 6 pounds 6 ounces when he was born, which is equivalent to 6 x 16 + 6 = 102 ounces.

He has gained 1 pound 3 ounces since then, which is equivalent to 1 x 16 + 3 = 19 ounces.

by solving the equation.

Therefore, Ingrid's baby brother's current weight in ounces is 102 + 19 = 121 ounces.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ1

Solve for k:
K/2 plus 1/2=3

Answers

Answer:v

vvre

Step-by-step explanation:

Answer:

K should be 5

Step-by-step explanation:

1/2 is .5 which leaves k/2 you need 2.5 to make three and 2.5*2 is 5 5/2 is 2.5 plus 5 is 3 therfore k is 5

(4a*2c)+(8a*2c)-(10a*2c)

Answers

Answer: 4ac

Step-by-step explanation: Combine like terms and follow PEMDAS

What is the measure of angle AEF

Answers

Answer:

B) 144°

Step-by-step explanation:

<AEC=108

<EDG= 180-108=72

<DEF=180-72=108

<AEF=360-108-108=144

If AC 19 and AB = 8, calculate m angle A in degrees. Round to the nearest hundredth.

Answers

The angle A for the given triangle will be 65°.

What is a triangle's definition?

In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.

Scalene Triangle - The length of each side varies.

Isosceles Triangle - A triangle having two equal-length sides and one that is not.

Equilateral Triangle - A triangle with three sides of equal length.

Now,

let the right angle is at B

then AC=hypotenuse and AB=Base

then cos A=B/H=8/19

cosA=0.4210

∠A=65°

hence,

The angle A for the given triangle will be 65°.

To know more about triangles visit the link

https://brainly.com/question/2773823?referrer=searchResults

#SPJ1

Someone help me pls and thank you!

Answers

Answer:

The volume would increase.

Step-by-step explanation:

The substance could move freer than that of before.

C, The volume,V, will increase because its less pressure so it will increase

A bag contains seven yellow marbles and two blue marbles. You randomly select two marbles from the bag. What is the probability that both marbles are yellow when you replace each marble before selecting the next marble? Write your answer as a decimal rounded to the nearest thousandth. Brainliest to best answer

Answers

Answer:

0.605

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

The probability of selecting a yellow marble on the first draw is 7/9, since there are 7 yellow marbles out of 9 total marbles.

Since we replace the marble before the second draw, the probability of selecting a yellow marble on the second draw is also 7/9.

To find the probability of both events happening together, we multiply the probabilities:

P(both yellow) = (7/9) x (7/9) = 49/81 = 0.6049382716

Rounding to the nearest thousandth, the answer is 0.605.

(FILL IN THE BLANK)

Analyze the graph of the exponential decay function.

The initial value is _____

The base, or rate of change is _____

The domain is _____

Answers

Initial value = 1
Rate of change = not sure
Domain = (-infinity, infinity)

-9 ≤ -7 true or false?

Answers

The answer would be true

15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180

Answers

Answer:

144

Step-by-step explanation:

Write a equation(or whatever it is called)

6/10=x/240Cross multiply, 1440=10xDivide, 144=x

Check your work:

6/10=144/240Cross multiply, 1440=1440

In ΔABC, the measure of ∠C=90°, the measure of ∠A=78°, and BC = 6.6 feet. Find the length of CA to the nearest tenth of a foot.

Answers

Answer:

1.4 feet

Step-by-step explanation:

I got it right on delta

Mila's math teacher said that each question answered correctly on a test would be worth 3 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.

Answers

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

What is probability?

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

| .

| . .

| . . .

| . . . .

| . . . . .

|_____________. . . . . . .

0 12 X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

$P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321$

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

$P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935$

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

$P(X > = 30) = e^(-30/12) ≈ 0.0498$

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

You start at (0,-4). You move left 1 unit and right 4 units. where do you end?

Answers

If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

Calculating the endpoint of the point

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

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

Answers

Answer:

12, -12

Step-by-step explanation:

24/2 = 12

What is the range of the function? f(x)=3^x−1−2

Answers

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2

Calculating the range of the equation?

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

The domain is the set of all real numbersHowever, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

Answers

The area of a regular pyramid is:

$Ap=\frac{1}{3}(Ab\cdot h)$

Where:

Ap = Area of the regular pyramid

Ab = Area of the basis

h = height of the pyramid

And, Ab is:

$Ab=\frac{n}{2}\cdot(s\cdot a)$

Where:

n = number of sides of the polygon

s = measure of the side of the polygon

a = apothem

So, to solve this question, follow the steps below.

Step 01: Find Ab.

To find Ab, let's extract the info from the problem:

n = 6

s = 12 cm.

a = 10.4 cm.

Then,

$\begin{gathered} Ab=\frac{6}{2}\cdot(12\cdot10.4) \\ Ab=3\cdot(124.8) \\ Ab=374.4cm^2 \end{gathered}$

Step 02: Use Ab to find Ap.

From the problem:

h = 36 cm.

Then,

$\begin{gathered} Ap=\frac{1}{3}(374.4\cdot36) \\ Ap=4492.8cm^3 \end{gathered}$

Answer: A) 4492.8 cm³.

Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.

Answers

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

For more such questions on ratio

https://brainly.com/question/30370621

#SPJ8

what is 100 divided by 52

Answers

1.92307692308

Hope this helps! :D

Select the unit that best fits the scenario

The bucket can hold 5 fluid ounce(s) cup(s) gallon(s) of paint

Answers

The bucket can hold 5 gallons of paint.

What is unit of measurement?

The unit of measurement is used to classify accurately a measured value of a quantity. Various quantities have different units of measurement. Thus a unit gives a comprehensive meaning to a given value. On comparing the following; 6 m, 20 kg, 2 ounce, 50 N with 6, 20, 2, 50, it can be deduced that unit is very important in measurement.

Ounce is a unit that can be used to express small value of a substance, while gallons is used for greater value of substance.

Since we have a bucket that can hold 5 units fluid, the unit that best fit the scenario is gallons.

Learn more about unit of measurement at https://brainly.com/question/777464

#SPJ1

What is the answer 3 1/4 + 2 1/8 +2 7/8+1 3/4+1 3/4 +? Show the work

Answers

The value of the fractions is 10

What is a fraction?

A fraction is described as the part of a whole.

The different types of fractions are;

Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractions

Given the fractions;

3 1/4 + 2 1/8 +2 7/8+1 3/4

convert to improper fractions, we have;

13/4 + 17/8 + 23/8 + 7/4

Find the LCM

26 + 17 + 23 + 14 /8

Find the values

80/8

divide the values

Learn about fractions at:https://brainly.com/question/11562149

#SPJ1

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below. 1 2 4 5 6 7 P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03 a. What is the missing value in the table? b. Find the mean. c. Find the variance and standard deviation. d. Interpret your results. B. In a quality control analysis, the random variable X represents the number of defective products per each batch of 100 products produced Defects (x) Batches 2 87 3 5 95 113 64 13 a. Use the frequency distribution above to construct a probability distribution? b. Find the mean. c. Find the variance and standard deviation.

Answers

a. The missing value in the table 0.03

b. The mean is 4.18

c. The variance is 3.23 and standard deviation is 1.80

d. The larger the standard deviation, the greater the spread of the probability distribution.

A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.

a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.

b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:

E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)

E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18

So, the mean number of calls per hour to the call center in the last month is 4.18.

c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:

Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)

Var(X) = 3.23

The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:

=> SD(X) = √(Var(X)) = √(3.23) = 1.80

d. Interpretation:

The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.

The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.

This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).

Complete Question:

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.

x 1 2 4 5 6 7

P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03

a. What is the missing value in the table?

b. Find the mean.

c. Find the variance and standard deviation.

d. Interpret your results.

To know more about standard deviation here.

https://brainly.com/question/16555520

#SPJ4

A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,
from the base of the dolly to the ground.
A. 52.0°
B. 38.0°
C. 38.6°
D. 51.4°

Answers

Check the picture below.

$\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o$

Make sure your calculator is in Degree mode.

Each marble bag sold by Jane's Marble Company contains 4 purple marbles for every 5 red marbles. If a bag has 24 purple
marbles, how many red marbles does it contain?

Answers

There are 4x purple marbles and 5x red marbles, where x is the common factor.

4x = 24

x = 24/4 = 6.

ANSWER. 5*6 = 30 red marbles.

How to calculate the probability?

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Give an example of a probability?

The likelihood or chance of an event happening is known as probability. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

To learn more about probability visit:

https://brainly.com/question/11234923?referrer=searchResults

#SPJ1

PLEASE ANSWER THIS Below is data from the Earth Policy Institute showing the top 10 countries’ fossil-fuel carbon dioxide (CO2) emissions during 2012. Calculate the per capita emissions for each country. Fill your answers in the table below. (round to the hundredths place)

Answers

The per capita emissions for each country is:

China 6.46United States 16.25India 1.77Russia 11.48Japan 9.68Germany 9.10Iran 7.58South Korea 11.47Indonesia 2.25Canada: 15.02

How to find Per capita emissions?

Using this formula to find the Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) / Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

Learn more about per capita emissions here:https://brainly.com/question/27900238

#SPJ1

a recipe calls for 3/4 of a cup of flour to make 5/8 of a pond of bread dough . how many cups of flour are needed to make 1 pound of douugh

Answers

6/5 cup

Thank you hope this helps

6 , -30 , 150 ... find the13th geometric sequence

Answers

Answer:

1464843750

Step-by-step explanation:

an= 6*-5^12

Based on the completed Form 1040 and 2018 Taxable Income Tiers, what is the total tax
that the employee is responsible for paying?
Answer in complete sentences.

Answers

The total tax that the employee is liable for paying will be $17,836 if the taxpayer declares $100,000 as income on the finished Form 1040.

What are income tiers or tax brackets?

An income range that is subject to a particular income tax rate is referred to as a tax bracket. A progressive tax system includes tax brackets, which indicates that when an individual's income increases, the amount of the tax rates increases gradually. Tax rates for low-income taxpayers are generally low, whereas those for high-income taxpayers are often higher.

For instance, a single filer in 2022 with $100,000 in taxable income will pay $17,836 in taxes, or an average tax rate of 18%. Your effective marginal tax rate, however, is 24%. As a result, the employee is accountable for paying a total of $17,836 in taxes.

Answers

The classification of the ordered pairs as functions and not functions are as follows;

{(2, 2), (4, 4), (6, 6), (8, 8)} is a function

{(0, 3), (3, 5), (5, 6), (8, 4)} is a function

{(1, 2), (3, 3), (4, 8), (6, 3)} is a function

{(3, 4), (5, 2), (5, 6), (7, 3)} is not a function

What is a function?

A function is a rule, law or definition that maps the elements of a set of values known as the input, to the elements of a set of values known as the output, such that each element of the input element is mapped to exactly one output element.

The values in each of the set of ordered pairs can be arranged into an input and output set as follows;

{(2, 2), (4, 4), (6, 6), (8, 8)}

Input ${}$ Output

2 ${}$ ⇒ 2

4 ${}$ ⇒ 4

6 ${}$ ⇒ 6

8 ${}$ ⇒ 8

In the above mapping, each input is mapped to exactly (only) one value of the output, such that the relationship is a function.

{(0, 3), (3, 5), (5, 6), (8, 4)}

Input ${}$ Output

0 ${}$ ⇒ 3

3 ${}$ ⇒ 5

5 ${}$ ⇒ 6

8 ${}$ ⇒ 4

In the above mapping, each input is mapped to exactly (only) one value of the output, such that the relationship is a function.

{(1, 2), (3, 3), (4, 8), (6, 3)}

Input ${}$ Output

1 ${}$ ⇒ 2

3 ${}$ ⇒ 3

4 ${}$ ⇒ 8

6 ${}$ ⇒ 3

In the above mapping, each input is mapped to exactly (only) one value of the output, such that the relationship is a function.

{(3, 4), (5, 2), (5, 6), (7, 3)}

Input ${}$ Output

3 ${}$ ⇒ 4

5 ${}$ ⇒ 2

5 ${}$ ⇒ 6

7 ${}$ ⇒ 3

In the above mapping, the input value of 5 has two output values of 2 and 6, therefore, the input, 5 maps to two values of the output, 2 and 6, which indicates that the relationship is not a function

Learn more about functions here: https://brainly.com/question/10687170

#SPJ1

Select the correct answer.
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights.

Which of the following formulas will show how Steve can determine the height of a rectangular pan?

Answers

I believe it's A

I hope this helps and if I'm wrong I apologize

use the graph of f(x)=x^2 to write an equation for the function represented by each graph

Answers

The image of the function f(x) = x² is equal to g(x) = x² - 1.

How to derive the equation of a graph based on a parent function

In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:

f(x) → f(x) + k, k > 0 for an upward translation.

If we know that f(x) = x² and k = - 1, then the equation for the image is:

g(x) = x² - 1

To learn more on translations: https://brainly.com/question/12463306

#SPJ1

Other Questions

Help. . Xx z z. Z z z z z z z z z z z All the coding and non coding dna found in the haploid number of chromosomes from one organism is known as the? which process results in four daughter cells that are genetically different, with each cell containing one haploid set of chromosomes? Sour dough bread is made sour by a decrease in ph caused by the acids produced by lactic acid bacteria. a. true b. false A ticket to see your favorite baseball team costs $40.42. That price decreases by $0.23 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 23 games . What is the price of a ticket after the team loses 23 games?. Select the correct answer.On discovering that her family had a 70% risk of heart attack, Erin took treadmill test to check her own potential of having a heart attack. Thedoctors told her that the reliability of the stress test is 67%. What is the probability that Erin will not have a heart attack and the test predicts thatshe will? A. 0.099 B. 0.201 C. 0.2310.469 5. What are isomers and what are the types of isomers we discussed? Which of the following statements best explains the reason that the British government passed the Proclamation of 1763?Choose 1 answer:(Choice A)Ato reduce conflicts between the American colonists and indigenous people after Bacons Rebellion(Choice B)Bto discourage interracial relationships between indigenous people and British colonists(Choice C)Cto limit costly conflicts over access to land between American colonists and indigenous communities(Choice D)Dto punish the American colonists for their lack of involvement in the Seven Years War Write the formulas of the ionic compounds name the quality management process discussed in chapter 8. (hint: it is not total quality management) A park ranger wants to know the mean number of nights students in your school plan to camp next summer. The park ranger randomly surveys10 students from each class. The results are shown. He thought furiously let the bell ring at 9:35 and the boy how does the author create tension : list five Derived quantities a client has sustained a right tibial fracture and has just had a cast applied. which instruction should the nurse provide in client cast care? someone know where demonhalf i need him right now if you don"t knowjust dont answer 5 + 34 = -2 (1 - 7x) help me solve it step by step ! the remarks of overly critical parents, cruel friends, uncaring teachers,excessively demanding employers Describe the overall elephant population trend over time. 1. The mass of oil in a reservoir is 825kg. If the reservoir has a volume of 0.197m.Determine:i.ii.The density of the oilThe specific weight of the oilThe specific gravity of the oil The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 17 um/s. The figure shows the trajectory of an E. coli as it moves from the origin at point A to point E.(Figure 1) Figure 1 of 1 y(um) B 40 30 20 10 0 D A 10 20 30 40 50 60 70 80 90 100 x(um) -10 -20 -30 -40 E