you have 100 feet of fence to make a rectangular play area alongside the wall of your house. the wall of the house bounds one side. what is the largest possible area (in square feet)?

Answer:

21/18 or 1 and 3/18

Step-by-step explanation:

6/9 = 12/18

3/6 = 9/18

12/18 + 9/18 = 21/18 or 1 3/18

Answer:

Answer:75

Step-by-step explanation:

since there are 15 students and they each need 5 plates you just do 15x5 and get 75

The correct statement would be older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative.

Increased time studying sets of tea time is associated with higher G. P.A. (Grade point average) This is positive. More time studying G. P. A. Life expectancy increases as body weight decreases. As the weight goes down the life expectancy goes up.

Muscle mass (quantity) is highly correlated with survival in hospitalized patients with advanced cancer, whereas muscle density (quality) is associated with patients’ symptoms, health care use, and survival, according to a group of researchers

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it usually refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.

Your body shape changes naturally as you age. You cannot avoid some of these changes, but your lifestyle choices may slow or speed the process.

The human body is made up of fat, lean tissue (muscles and organs), bones, and water. After age 30, people tend to lose lean tissue. Your muscles, liver, kidney, and other organs may lose some of their cells. This process of muscle loss is called atrophy. Bones may lose some of their minerals and become less dense (a condition called osteopenia in the early stages and osteoporosis in the later stages). Tissue loss reduces the amount of water in your

The amount of body fat goes up steadily after age 30. Older people may have almost one third more fat compared to when they were younger. Fat tissue builds up toward the center of the body, including around the internal organs. However, the layer of fat under the skin gets smaller.

The tendency to become shorter occurs among all races and both sexes. Height loss is related to aging changes in the bones, muscles, and joints. People typically lose almost one-half inch (about 1 centimeter) every 10 years after age 40. Height loss is even more rapid after age 70. You may lose a total of 1 to 3 inches (2.5 to 7.5 centimeters) in height as you age. You can help prevent height loss by following a healthy diet, staying physically active, and preventing and treating bone loss.

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The end behavior of given polynomial function f(x) = 5 + 7x - 9x^2 + 4^3,

as x → -∞, f(x) → -∞

as x → ∞, f(x) → -∞

In this question, we have been given a polynomial function

f(x) = 5 + 7x - 9x^2 + 4^3

We need to  state the end behavior of f(x).

The graph of f(x) is as shown below.

We can observe that as x tends to -∞, f(x) → -∞

Also, as x → ∞, f(x) → -∞

We know that the end behavior of polynomial function is determined by the degree of the polynomial and the leading coefficient.

For given polynomial function, the degree of this polynomial is 2.

The leading coefficient is -9

We know that for polynomial function of even degree, the ends of the function graph point in the same direction.

Therefore, the end behavior of given polynomial function f(x) = 5 + 7x - 9x^2 + 4^3,

as x → -∞, f(x) → -∞

as x → ∞, f(x) → -∞

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The expression that represents the statement "the product of a number and eight" is 8x.

Expression:

Expression means the mathematical statement that consists of  minimum of two numbers/variables and at least one math operation(addition, subtraction, multiplication and division) in it.

Given,

The given statement is "the product of a number and eight".

Now, we have to find the suitable expression for this statement.

In order to find the suitable expression, we have to divide the given statement and then we have to identify the keyword in it.

By using those keywords, we have to solve it.

In the given statement we have identify the following:

product

number

eight

Here the product refers the multiplication

number is any unknown number that is x.

eight refers the number 8.

When we combine these keywords we can get the expression 8x.

Therefore, the resulting expression is 8x.

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Answer:

7 cents:$0.45

Step-by-step explanation:

(whatever you do to one side you do the same to the other)

35 divided by 5= 7

2.25 divided by 5= 0.45

Answer: D. The polynomial is irreducible.

From the explanation below we do not get polynomial .

Step-by-step explanation:

A.(x+3)(x-6)

=  x^2-6x+3x-18

=x^2-3x-18

B.(x-3)(x+6)

 =(x^2+6x-3x-18)

  =x^2+3x-18

C.(x+3)(x^2-4x+6)

  =x^3-4x^2+6x+3x^2-12x+18

  =x^2-x^2-6x+18

D.The polynomial is irreducible

The required equation will be y = -1/3x + 21/4 in slope-intercept form.

The general equation of a line is y = mx + c

where m is the slope of the line and c is the intercept.

First, we need to determine the slope of the given line.

y = 4/9x - 6

Here the slope of the given line is 4/9.

The required line is perpendicular to a given line

So the  required line's slope will be m₂ = -1 / (4/9) = -9/4

The line passes through the point (5, -6) which is given in the question,

Now we can use the point-slope form of a line to create the equation of the new line:

(y + 6) = (-9/4) (x - 5)

y = (-9/4)x + 45/4  - 6

y = -1/3x + 21/4

Hence, the required equation will be y = -1/3x + 21/4 in slope-intercept form.

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Answer for Part I: x² - 3x - 10

Step-by-step explanation:

    The FOIL method means to multiply the "First, Outside, Inside, and Last" in order of the terms. See attached for a visual and the work behind the answer.

    Using this method, we end up with;

                           x² - 3x - 10

Dan has money left is £30.

Given:

Dan spends 3/4 of his wages on rent and 1/8 on food.

If he makes £240 per week.

Money left =  240 - 240* 3/4 - 240 * 1/8

= 240 - 60*3 - 240/8

= 240 - 180 - 30

= 60 - 30

= 30.

Therefore Dan has money left is £30.

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The probability that a card drawn randomly from a standard deck of 52 cards is a red queen is 1/26 or 0.038461. The result is obtained from the ratio of the number of red queen to 52 cards.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

In case a card drawn randomly from 52 cards, what is the probability that it is a red queen?

The four suits for a standard deck of 52 cards are hearts, diamonds, clubs, and spades of 13 cards each. The hearts and diamonds are red. While, the clubs and spades are black. The 13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

From that information, the number of red queen in a standar deck of 52 cards is 2 cards. So,

The probability of drawing a red queen is

P(A) = n(A) / n(S)

P(A) = 2/52

P(A) = 1/26

P(A) = 0,038461

Hence, the probability that a card drawn is a red queen is 1/26 or 0,038461.

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Answer:

The first measurement is known as the "P-R interval" and is measured from the beginning of the upslope of the P wave to the beginning of the QRS wave. This measurement should be 0.12-0.20 seconds, or 3-5 small squares in duration.

Step-by-step explanation:

...

Answer:

Gift aid  68.38 £

Step-by-step explanation:

Proportion:

273.50 £  -    100%

X £            -      25%

Gift aid:

X = 273.50·25% / 100% = 273.50 / 4 ≈ 68.38 £

RIGHT function should be used to extract the last four digits from a column containing phone numbers.

The Excel TEXT functions section includes the RIGHT Function[1]. A predetermined number of characters from the end of a provided text string will be returned by the function.

The RIGHT function can be helpful in the financial analysis if we want to extract characters from a text string's right side. It is typically used in conjunction with functions like VALUE, SUM, COUNT, DATE, DAY, etc.

Formula is=RIGHT(text,[num chars])

The following arguments are used by the RIGHT function:

Text is the original text string (mandatory argument).

The number of characters to be returned from the end of the provided text is specified by the optional argument Num chars. It specifies how many characters will be taken, beginning on the right side of the text. If the argument is omitted, the value of 1 by default is used.

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Answer:-2(3+(-4)+(-8)*7)=114

Step-by-step explanation: You wrote the equation wrong, but if you use PEMDAS that's the answer you'll get.

Yes, it is correct. (a) congruent by SSS

                             (b) congruent by SAS

                             (c) congruent by ASA

(a) Given in figure,

    MN = OP

    ∠MNO = ∠NOP

    ON = ON (Common)

   Hence, ΔMNO ≅ ΔNOP by SAS.

(b) Given in figure,

     UV = XY

    ∠UVW = ∠XYZ

    UW = XZ

   Hence, ΔUVW ≅ ΔXYZ by SAS.

(C) Given in figure,

     ∠ABC = ∠EDF

     BC = DE

    ∠ACB = ∠DEF

   Hence, ΔABC ≅ ΔDEF by ASA.

Therefore, all are congruent.

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The volume of the composite solid is 340.4 cubic inches

The composite solid is made up of two parts one has

The volume for the uniform height  

= base area * height

base area = 0.5 base * height = 0.5 * 8 * 6.9 = 27.6

= 27.6 * 10

= 276 cubic inches

The volume for the varying height

= 1/3 base area * height

base area = 27.6 (both share same base)

= 1/3 * 27.6 * 7

= 64.4 cubic inches

The total volume

= 276 + 64.4

= 340.4 cubic inches

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The value of game is 0.0769 .

Formula for Expected Value of Game :

Expected Value of Game = ( Probability of Winning * Profit ) + ( Probability of Losing * Loss )

According to question ,

P ( getting a face card ) = 12 / 52

                                   = 3 / 13

P ( not getting a face card ) = 1 - ( 3 / 13 )

                                             = 10 / 13

Expected value for this game = [ 7 * ( 3 / 13 ) ] + [ ( - 2 ) * ( 10 / 13 ) ]

                                                   = 0.0769

Hence , the value of game is 0.0769 .

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The highest common factor (HCF) for the expression 4x³yz"; 30x²y²z² and 36x³y²z³ is 2x²yz.

The H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.

We shall derive the HCF of the three expressions by expressing them as multiples of their factors as follows;

4x³yz = 2 × 2 × x × x × x × y × z

30x²y²z² = 2 × 3 × 5 × x × x × y × z × z

36x³y²z³ = 2 × 2 × 3 × 3 × x × x × x × y × y × z × z × z

HCF = 2 × x × x × y × z

HCF = 2x²yz

Therefore, the highest common factor for the expressions 4x³yz"; 30x²y²z² and 36x³y²z³ with the understanding of HCF is 2x²yz.

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Answer:

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, your question 56/80.

56/80 is 0.7 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.7 would be 70,

therefore the percent of 56/80 would be 70%

Good day ml! <3

The probability of Sid takes at random counters from the bag is 24/55

The total number of counters = 11

Total number of green counters = 8

Total number of blue counters = 3

Probability = Number of favorable outcomes / Total number of outcomes

Total number of outcome = 55

Number of outcome that Sid will get both green = 28

Number of outcome that Sid will get both blue = 3

Number of favorable outcome = 55 - 28 - 3

= 24

Probability = Number of favorable outcomes / Total number of outcomes

= 24/55

Hence, the probability of Sid takes at random counters from the bag is 24/55

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Elena will need 180 more bats

Let she bats  b more needs

Total bats =  110 + b

Base hits = 24 + 0.35 b

From the question, we have

( 24 + 0.35b) / (110 + b) = 0.300

24 + 0.35b = 33 + 0.3 b

0.05 b = 9

b = 9 / 0.05 = 180

Subtraction:

The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.

The symbol for subtraction is the letter "-". The three numerical elements that make up the subtraction operation are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction process.

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Answer:  81

Step-by-step explanation:

Let's start with what we know:

Time spent each evening = 1/3 of an hour

Time spent: 27

We need to turn the time spent into minutes so We will do

27 * 60 = 1620 minutes

As well as we need to turn the 1/3 of an hour into minutes so we will do

1/3 * 60 = 20 minutes

So now we have these numbers

You can pick any letter but I will pick x

We can do 20x = 1620 (Time spent times number of evenings equals time spent)

Then after that you just divide 20x/20 and 1620/20

Then getting x = 81.

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The equation of the line that is parallel to the line y = -x + 10 is y = -x - 13.

Given table:

x            y

0           10

4           6

8           2

12         -2

slope m = 6 - 10 / 4 - 0

= -4/4

m = -1

substitute in y=mx+c

y = -x+c passes through (0,10)

10 = -0 + c

c = 10.

y = -x + 10.

here m = -1 and passes through (-3,-10)

y = mx +c

-10 = -1(-3)+c

-10 = 3 + c

c = -13

y = -x + (-13)

y = -x - 13.

Therefore the equation of the line that is parallel to the line y = -x + 10 is y = -x - 13.

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The graph has no vertex and the transformations from the parent function are

By definition, the vertex of a function is the maximum or the minimum of the function

From the graph, we can see that the graph only has a turning point; it has no maximum or minimum

So, we can conclude that there is no vertex in the graph

Here, we have:

We can see that:

The graph is 4 units to the left of the origin and 2 units below the origin

This means that the function has been shifted down and shifted to the left

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Answer:

5

Step-by-step explanation:

Distribute 1st

-3 x 8 +232 /8

Multiply -3 and 8

-24 +232 /8

Divide 232 and 8

-24+29

Add -24 and 29

5

The length of the line segment defined by two endpoints; negative 3 comma 10 to 4 comma negative 1 as required in the task content is; 13.04.

It follows from the task content that the length of the line segment whose endpoints are as given in the task content is to be determined.

Recall; The length of a line segment whose endpoints are defined by; (x1, y1) and (x2, y2) is given as;

Length = √{ (y2 - y1)² + (x2 - x1)² }

Therefore, since the given endpoints are; (-3, 10) and (4, -1), it follows that the length of the line segment in discuss is;

Length = √{ (-1 - 10)² + (4 - (-3))² }

Length = √(121 + 49)

Length = √170

Length = 13.04.

Ultimately, the length of the line segment as required is; 13.04.

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Answer:

5 or (-2,5)

Step-by-step explanation:

|2x-3|<7

2x-3<7

2x=10

x=5

Answer:

x < 5

Step-by-step explanation:

2x - 3 + 3 < 7 + 3

7 + 3 = 10

-3 + 3 = 0

= 2x + 0

= 2x

2x < 10

2x/2 < 10/2

10/2 = 5

2x/2 = 2/2

= x (We assume x = 1)

= 5/1

= 5

Therefore,

x < 5

Hope this helps!

The product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.

According to the question,

We have the following number:

900

This number needs to prime factorized. So, first it can be divided by 2 (450), again 450 can be divided by 2 (225), it can be divided by 3 (75), it can again be divided by 3 (25), this can be divided by 5 (5) and it will be finally divided by 5.

So, we have the following product for the prime factors of 900:

2*2*3*3*5*5

In index form, it will be written as follows:

[tex]2^{2} *3^{2} *5^{2}[/tex]

Now, we know that in ascending order, numbers are arranged from smallest to largest.

So, we have the following order:

2, 3 and 5

Hence, the product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.

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