(HELP!!!) Please Factor Completely:
9x^2y^2-27x^2y-72y^2+216y

Therefore, the simplified form of the given expression is 7/36.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve one or more operations or functions. Expressions are an important concept in mathematics and are used in a wide range of applications, from simple arithmetic calculations to advanced mathematical modeling and analysis.

Here,

To simplify this expression, we can multiply the numerators of the fractions and multiply the denominators of the fractions, and then simplify the resulting fraction:

7/8 x 1/3 x 2/3 = (7 x 1 x 2)/(8 x 3 x 3)

= 14/72

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:

14/72 = (2 x 7)/(2 x 36)

= 7/36

To know more about expression,

https://brainly.com/question/1859113

#SPJ1

2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

Answer:

A. The cost of a bunch of grapes compared with its weight  

Step-by-step explanation:

A. The cost of a bunch of grapes compared with its weight  

Step-by-step explanation:

We are required to find the situation which shows a constant rate of change.

According to the options, we have,

D. The number of tickets sold compared to the number of minutes before a football game

In this case, we see that, the rate of change between the number of minutes and the number of tickets sold may vary and need not be constant.

B. The outside temperature compared with the time of day  

Here, the temperature changes with different values throughout the day and this case will not give a constant rate.

C.The height of a bird over time

The height of the bird over a time would not give a constant rate.

Further, we have that,

The cost of a bunch of grapes compared with its weight will always give a constant rate as whenever the weight changes, the cost will change accordingly.

So, the correct answer is A

Answer: You are correct. It is choice A.

====================================================

Explanation:

This is assuming the grapes are charged on some kind of weight basis, eg: charged per pound.

Let's say it costs $0.70 per pound, ie 70 cents per pound.

If x is the weight and y is the cost, then the equation would be y = 0.70x. The slope here is 0.70 to represent the rate of change. Each time x goes up by 1, y goes up by 0.70; meaning that each time you add a pound of grapes, the cost goes up by 70 cents.

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

Side notes:

Surface area of cuboid  is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.

Surface area of a cuboid is = 2lw + 2lh + 2 hw

where ; l= length

w= width.

h = height

= 2(10×6)+2(10×6)+2(6×6)

=2(60)+2(60)+2(36)

=120+120+72

=312

Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.

Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.

Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.

To learn more about : geometry test

https://brainly.com/question/30902501

#SPJ8

The **compression constant** of the human hand is typically around **500 N/mm**.

The compression constant refers to the amount of force per unit area that can be applied to compress or deform a material. In the case of the human hand, it represents the capacity of the hand to withstand compressive forces. The compression constant of 500 N/mm indicates that for every millimeter of the hand's surface area, it can withstand up to 500 newtons of compressive force.

The human hand is a complex structure composed of bones, ligaments, tendons, muscles, and soft tissues. It possesses remarkable strength and flexibility, allowing us to perform various tasks requiring grip, dexterity, and manipulation. The compression constant of 500 N/mm highlights the hand's ability to endure compressive forces exerted during activities like gripping objects, applying pressure, or absorbing impacts.

It's important to note that the compression constant can vary among individuals due to factors such as hand size, bone density, muscle strength, and overall hand health. Additionally, the compression capacity of the hand may change in certain conditions, such as injuries or degenerative diseases affecting the hand's structures. However, the average compression constant for a healthy human hand is around 500 N/mm, showcasing its impressive ability to withstand compressive forces.

Learn more about compression here

https://brainly.com/question/29170454

#SPJ11

The dilated quadrilateral, using center B and a scale factor of 1/2, is A'B'C'D'.

To dilate a quadrilateral ABCD using center B and a scale factor of 1/2, we can follow these steps:

Draw line segments from the center of dilation (B) to each vertex of the quadrilateral (A, C, and D).

Measure the distance from B to each vertex (AB, BC, BD) and multiply each distance by the scale factor (1/2).

From the endpoints of the original line segments, construct new line segments with the scaled distances obtained in the previous step.

Connect the endpoints of the newly constructed line segments to form the dilated quadrilateral A'B'C'D'.

The resulting quadrilateral A'B'C'D' will be a scaled-down version of the original quadrilateral ABCD, with center B as the center of dilation and a scale factor of 1/2.

Note: Since I am a text-based AI and cannot provide visual illustrations, it would be helpful to refer to a geometric software or draw the quadrilateral on paper to visualize the steps described above.

For similar question on dilated quadrilateral.

https://brainly.com/question/20084003

#SPJ11

Answer:

cosA = 0.6

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract sin²A from both sides )

cos²A = 1 - sin²A ( take the square root of both sides )

cosA = ± \(\sqrt{1-sin^2A\)

Since only the positive value is required , then

cosA = \(\sqrt{1-(0.8)^2}\)

         = \(\sqrt{1-0.64}\)

         = \(\sqrt{0.36}\)

         = 0.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

To know more about point , visit:

https://brainly.com/question/26310043

#SPJ1

Answer:

the root of x in ax^2+bx+c=0

is

x=[-b±√(b²-4ac)]/2a

Answer:

a + c = 29

10a + 6c = 222

Step-by-step explanation:

Admission for each adult costs $10. Admission for each child costs $6.

A group of 29 people attended the zoo.

The total admission fees paid by the group was $222.

Answer:

$222=a x $10 + c x$6

Step-by-step explanation:

I don't think the question is complete though

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

\(\displaystyle \frac{4}{52}=\frac{1}{13}\)

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

\(\displaystyle \frac{3}{51}=\frac{1}{17}\)

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

\(\displaystyle \frac{2}{50}=\frac{1}{25}\)

Finally, the probability of getting the remaining ace out of the 49 cards is:

\(\displaystyle \frac{1}{49}\)

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

\(\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}\)

\(\displaystyle P= \frac{1}{270,725}\)

P=0.0000037

P=0.00037%

Every eigenvalue of K has absolute value 1, as required. To prove that ||Kv||2 = ||v||2 for all v ∈ R n , we start by writing out the norms in terms of the dot product:

||Kv||2 = (Kv)⋅(Kv) = v⋅(K⊤Kv) (since K is orthogonal, K⊤K = I)

= v⋅v = ||v||2

So, ||Kv||2 = ||v||2 for all v ∈ R n , as required.

Now, let λ be an eigenvalue of K, with eigenvector v. Then we have:

Kv = λv

Taking norms of both sides, we have:

||Kv|| = |λ| ||v||

But, from the previous result, we know that ||Kv|| = ||v||. Therefore:

||v|| = |λ| ||v||

Since ||v|| is nonzero (by definition of an eigenvector), we can cancel it from both sides to get:

1 = |λ|

So, every eigenvalue of K has absolute value 1, as required.

Learn more about eigenvalue

https://brainly.com/question/29749542

#SPJ4

The  term could be put in the blank to create a fully simplified polynomial written in standard form is  x²y².

option A.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

From the given polynomial equation 8x³y² ------ + 3xy² - 4y³

Here the power of x decreases by 1, so the the power of x of the next term will x²y².

Thus, the complete polynomial equation would be 8x³y² - x²y² + 3xy² - 4y³

Learn more about polynomial here: https://brainly.com/question/24662212

#SPJ1

Answer:

is it from the text book

Step-by-step explanation:

If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

To know more about the Single-loss expectancy (SLE), here

https://brainly.com/question/14587600

#SPJ4

The values of k and r are given by 5 and 3 respectively.

Here in this problem it is given that,

General formula for the sequence is given by,

\(U_{n+1}=kU_n+r\)

First term of the sequence, \(U_1=37\)

Second term,

\(U_2=188\)

\(U_{1+1}=188\), rearranging

\(kU_1+r=188\), applying general formula

\(37k+r=188\)..........(1)

Third term,

\(U_3=943\)

\(U_{2+1}=943\), rearranging

\(kU_2+r=943\), applying general formula

\(188k+r=943\)..........(2)

Now (2) - (1) we get,

188k+r-37k-r = 943-188

151k = 755

k = 755/151 = 5

Hence the value of k is 5.

Substituting the value of k in (1) we get,

37*5+r = 188

185+r = 188

r = 188-185 = 3

Thus the value of r is 3.

Learn more about Sequence here -

https://brainly.com/question/1275192

#SPJ10

Answer:

A) x = 12

Step-by-step explanation:

if its a right angle? then the angle in total is 90 degrees,

subtract the 35 from 90 to get 55 degrees,

4x + 7 = 55 solve this

4x = 48

x = 12

This is a retrospective observational study.

A retrospective study looks back in time at events that have already happened and analyzes data that were collected in the past. In this case, the study looks at women who were diagnosed with breast cancer at one hospital in 1992 and tracks their survival rates over five years. No intervention or treatment is being imposed on the patients; the researchers are simply observing and analyzing data that have already been collected.

The study is also observational because the researchers are not manipulating any variables or treatments. They are simply observing and recording what happens to the patients based on factors such as race and cancer diagnosis.

Know more about observational study here:

https://brainly.com/question/28191144

#SPJ11

Answer:

Step-by-step explanation:

x can really be anything because you did not include the sum for both expressions. so im not sure. its best to wait for someone else to answer. :/

The mean points of the team is the average points per game

Dom's claim is wrong

The number of players in the team is:

n = 8

The mean score per game is:

Mean = 12

The mean of a dataset is calculated as:

\(Mean = \frac{Total}n\)

So, we have:

\(12= \frac{Total}8\)

Multiply both sides by 8

\(Total = 96\\\)

When Dom's point is removed, we have:

\(Points = 96 - 33\)

\(Points = 63\)

There are 7 players left.

So, the mean point is:

\(Mean = \frac{63}7\)

\(Mean = 9\)

The mean score is not 10.

Hence, Dom's claim is wrong

Read more about mean at:

https://brainly.com/question/14532771

Using the vertex of the quadratic equation, a realistic range for this height scenario is given by: [0, 46.24].

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

Considering the coefficient a, we have that:

In this problem, the ball starts at the ground, hits it's maximum height than falls to the ground again, hence a reasonable range is between 0 and the maximum height.

The equation is:

h = -16t² + 54.4t.

The coefficients are a = -16, b = 54.4, c = 0, hence the maximum height is:

\(y_v = -\frac{54.4^2 - 4(-16)(0)}{4(-16)} = 46.24\)

A realistic range for this height scenario is given by: [0, 46.24].

More can be learned about the range of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

zero

Step-by-step explanation:

the additive inverse of 15 is -15 so the sum is zero

Answer: The sum Is zero, explanation below

Step-by-step explanation:

The Addictive inverse of a number is its opposite so for example the addictive inverse of   12 is -12   or   x is -x so the equation would be

15 + -15

making your answer zero :D

SHEEEESSSHHHH

The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

Learn more about income here:

https://brainly.com/question/25745683

#SPJ1

Examining the figure properly shows that chord AB in the circle has its length to be equal to 16

Information given from the question is interpreted as

let the center of the circle be O

BE = opposite = ?

OE = adjacent = 6

OB = OA = hypotenuse = radius = 10

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

10² = BE² + 6²

100 = BE² + 36

BE² =  100 - 36

BE = √64

BE = 8

Since line OE is the perpendicular bisector, BE = AE

and from the figure AB = BE + AE

= 8 + 8

= 16

Learn more on Pythagoras theorem here:

https://brainly.com/question/29363020

#SPJ1

Answer:

The answer is 3 1/3

The value of the expression  −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that,

The expression is:

= −t/u+vw

The values of t = 2, u=−2/3 , v=−1 , and w=−1/3

After pluggin the values of t, u, v, and w in the above expression we get:

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

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

= 3 + 1/3

= 3 1/3 (in mixed fraction)

Thus, the value of the expression  −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

3 1/3

Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.

The cumulative relative frequency distribution is a useful tool for summarizing data and making comparisons between classes. It can also be used to make predictions about future data values.

A cumulative relative frequency distribution is a table that shows the cumulative relative frequency of a set of data. A cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set. For example, if the first three entries in a data set are 20, 30, and 10, the cumulative relative frequency of the first entry would be 0.2, the cumulative relative frequency of the second entry would be 0.5, and the cumulative relative frequency of the third entry would be 1.0.

In a cumulative relative frequency distribution, the data is organized into classes, and each class has a relative frequency associated with it. The relative frequency is the fraction of the total number of items in the class compared to the total number of items in the data set. The cumulative relative frequency is the sum of the relative frequencies of all the classes up to that point.

For example, if there are five classes in a data set, the cumulative relative frequency of the first class would be the relative frequency of the first class. The cumulative relative frequency of the second class would be the sum of the relative frequencies of the first and second classes, and so on.

Learn more about cumulative here:

https://brainly.com/question/28987460

#SPJ4

Answer:

-4 6/10 = -4.6

4.65=4.65

so i think hopefully it is -4.6

Step-by-step explanation: