A rectangular lettuce patch, 560 square feet in area, is to be fenced off against rabbits. Find the least amount of fencing required if one side of the land is already protected by a barn. What are the dimensions?

The solution is [tex](27^2)^{ 1/5}[/tex] express as [tex]145 \frac{4}{5}[/tex] in simplest radical form.

A radical in mathematics is the opposite of an exponent, which is denoted by the symbol "√" and is also referred to as the root. It can either be a square root or a cube root, and the number before the symbol or radical is regarded as an index number or degree. This number cancels the radical and is represented as a whole number by an exponent.

step1:

extract form

27² =729

729/5= decimal form=145.8

step 2:

729/5=145.8

mixed form:

[tex]145 \dfrac{4}{5}[/tex]

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Answer:1/15

Step-by-step explanation
formula = y2-y1/x2-x1;

x1=7;y1=5; x2=-8;y2=4
4-5/-8-7=-1/-15
=1/15

The volume of the smallest container that holds 370 grams of oil is

400 cm³.

Density is mass per unit volume.

We have,

The density of sunflower oil = 0.925

Mass of sunflower oil = 370 grams

Now,

Density = Mass / Volume

So,

The volume of the smallest container that holds 379 grams of oil.

= Mass of the sunflower oil / Density of the sunflower oil

= 370 / 0.925

= 400 cm³

Thus,

The volume of the container that holds 379 grams of oil is 400 cm³.

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The Output Variable is Total cost represented by c(m).

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

A website charges $3 for each movie you download.

They also charge a one-time sign-up fee of $14.99.

So, the input variable will be m which shows the number of movies.

and, the output variable will be c which shows the total cost.

Then, the equation models the cost c(m), is c(m)=3m+14.99

Now, putting the values for m = 0, 1, 2, ....

c(0)= 4.99, c(1)= 17.99, c(2)= 20.99

Hence, the output variable is total cost.

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Therefore , the solution of the giving problem of tables is  a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.

A mathematical table is a collection of numbers that shows the outcome of a calculation using multiple inputs. data with numbers and descriptions that is arranged in rows and columns. The table and 10 pattern are easy to remember. The following is the order of the numbers:2,4,6,8,10,12,14,16,18,20. Value maps are used to show how different data pieces are related to one another. You can incorporate the values expression table into your science lecture. Scientists and researchers use tables of values to store data and seek for patterns in that data. Then, this pattern is used in forecasting.

Here,

Tokens from the address input sequence are mapped to a standardized output sequence using a set of rules found in the rules table.

A rule is described as a collection of input tokens, a set of output tokens, a set of -1 (terminator), a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.

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Answer: w=10n+8

Step-by-step explanation:

6x10+8=68

7x10+8=78

8x10+8=88

9x10+8=98

The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.

A Parallelogram is a flat shape with opposite sides parallel and equal in length.

properties of Parallelogram

Trigonometry would be used to determine the base and the length of the parallelogram.

Base: cos 40 = adjacent /hypotenuse

0.7660 = adjacent / 4

adjacent = 4 x 0.7660

adjacent  = 3.06 inch

Length = area/base

Length= 20/3.06

Length= 6.54 in

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On solving the provide question, based on the congruent triangles properties, we got to know that x= 76° and 90°.

Congruent triangles are two triangles that are identical in terms of their size and form. The two congruent triangles remain congruent whether you rotate, flip, or flip one of them. If two triangles have the same number of sides, then their angles and congruence must match.

As a result, we can determine that two triangles are congruent if all three of their sides are equal. We also understand that if there is a side, an angle between the sides, and a third side that is congruent, the three sides are congruent. which means sides, corners, and sides.

For green -

=> x = 76° ( both side are same)

For orange -=> x = 90°

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Answer:

y = 23 , ∠ S = 135° , ∠ T = 45° are correct

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

6x - 9 = 4x + 39 ( subtract 4x from both sides )

2x - 9 = 39 ( add 9 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ≠ 15

and

3y - x = 2y - 1 , that is

3y - 24 = 2y - 1 ( subtract 2y from both sides )

y - 24 = - 1 ( add 24 to both sides )

y = 23 ← is correct

∠ R = 3y - x = 3(23) - 24 = 69 - 24 = 45°  ≠ 27°

∠ S = 6x - 9 = 6(24) - 9 = 144 - 9 = 135° ← is correct

∠ T = ∠ R = 45° ← is correct

∠ U = ∠ S = 135° ≠ 99°

Answer:

7 busses

Step-by-step explanation:

The additive inverse of 7/8 is -7/8.

This can be seen when using the additive inverse formula. The additive inverse formula states that if a number is denoted as x, then the additive inverse would be -x. Therefore, when applied to 7/8, it would be -7/8. This can also be seen when adding the two numbers together. When 7/8 is added to -7/8, the sum is 0. This can be seen in the calculation below:

7/8 + (-7/8) = 0

7/8 - 7/8 = 0

0/8 = 0

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The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.

A perimeter is a closed path that surrounds, encompasses, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or ellipse is its circumference. The perimeter calculation has a variety of practical applications. The perimeter of an object is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length. A perimeter is the distance between the edges of a two-dimensional form. It is sometimes defined as the total of the object's side lengths. The perimeter of a shape is the algebraic sum of its side lengths. We have equations for the various forms in geometry.

Here,

The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.

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Answer:

"Substitution comes in three flavors: nominal, verbal or clausal, depending on the item being substituted.

Step-by-step explanation:

Hope it helps!

The required measure of x would be 9√10 units for the attached figure.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as follows:

We have to determine the measure of x for the attached figure.

According to Euclidian theorem, the required solution would be as:

x² = 27 × (27+3)

x² = 27 × 30

Apply the multiplication operation,

x² = 810

Apply the square root property for both sides

x = 9√10

Therefore, the required measure of x would be 9√10 units.

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The question seems to be incomplete the correct question has been attached below.

x=2 is value of x does the function f(x).

An easy definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them.

                     In plain English, a function is an association between inputs in which each input is connected to precisely one output. a unique relationship in which each input only results in one outcome. Where x is the input value, it is frequently expressed as "f(x)". as in f(x) = x/2 ("f of x equals x divided by 2") Each input "x" yields a single output "x/2," indicating that it is a function: • f(2) = 1.

X f(x) g(x)

1    6   6

2  12 16

3  18 30

4  24 48

We can see from this table that f(x) is greater than g(x) starting from x=2

Therefore I think x=2 is your answer.

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The probability that a randomly selected bird is a parakeet given that it is green is 54.1%.

The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The likelihood that the coin will land with the heads side up after being tossed into the air is described using the word probability.

Let,

A be the  Parakee

B be the Green

To find the probability that a randomly selected bird is a parakeet given that it is green.

That means P(A|B)

The number of birds that are both parakeet and green is n(A∩B)=20

The number of birds that are green is n(B)=37

Hence, using the conditional probability formula P(A∣B) = [tex]\dfrac{n(A\bigcap B}{n(B)}[/tex]

P(A∣B) = [tex]\dfrac{n(A\bigcap B)}{n(B)}[/tex]

P(A∣B) = 20/37

P(A∣B) = 20/37 × 100%

P(A∣B) = 54.1%

Thus, the probability that a randomly selected bird is a parakeet given that it is green is 54.1%.

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Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

A quadratic quadratic in a specific factor is x ax2+bx+c=0, that is a quadratic equation. a 0. The fact that this equation is of second order guarantees that it contains lease one solutions according to the First Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least the word in it should be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the quantitative coefficients or integers a, b, and c.

Here,

Given: XYZ ²

To find the value of XYZ ² ,

Thus,

=> XYZ ² = x² + y² + z² – 2 x y + 2 y z – 2 z x .

So, the solution for this XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

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When Dante deposits $300 to create a savings account, $385 will be available in the account after 4 years.

aggregate attempting to determine the whole amount, time, or quantity. The amount at hand or under consideration is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, how much you have, how much you need, or how much you can get. He needs that much money to make ends meet.

given

A= P( 1- rt )

A = 275 ( 1+ 300 )

A = 275( 1.4 )= $385

When Dante deposits $300 to create a savings account, $385 will be available in the account after 4 years.

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3.52bags will be filled completely with 7/8 lb of granola and 1/4 lb of granola

Word Problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols. Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.

To get the number of bags, we simplify and use the quotient, that is:

We divide the quantity of granola over the number of bags

=(7 / 8 pounds) / (1 / 4 pounds)

=0.88/0.25

= 3.52 bags

Hence, The number of bags that will be filled completely is 3.52 bags

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You are  57 years old if 400 reduced by one half must subtracted from 257 is your age in the given arithmetic problem.

Mathematical arithmetic, which includes operations on numbers, is its foundation. Addition, subtraction, multiplication, and division are among these operations. The foundation of the subject "Maths" is laid by one of the crucial branches of mathematics: arithmetic.

Despite the fact that the subject involves numerous other modified operations, addition, subtraction, division, and multiplication are the three basic operations under the heading of arithmetic.

Let your age be x

[tex]$x=257-400\frac{1}{2}[/tex]

x = 257 - 200

x = 57

Hence, your age is 57 years old.

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At a 10% annual growth rate, the cash equals Rs. 3,600 in two years. ​ Rs. 3960.

The principal is the sum you borrowed and are required to repay, while the interest is what you pay. For the majority of borrowers, the total monthly payment you make to your mortgage company includes additional expenses like homeowners taxes and homeowner's insurance that may be placed in an escrow account.

According to the given information:

here principal(P)=3600, R=10%, n= 2 year

amount A=p(1+R/100)ⁿ

3600(1+10/100)²

3600*11/10

=3690

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Option (i) , (ii) and (iii) all represents quadratic equations as all of them is of degree 2 and coefficient of degree 2 is non-zero.

Having the form a[tex]x^2[/tex] + bx + c = 0, quadratic equations are 2nd degree algebraic expressions. The meaning of the term "quad," is square, comes the word "quadratic." A quadratic equation is a "equation of degree 2," to put it another way.

Option i

3x^2-5x+9=x^2-7x+3

so the coefficent of degree 2 is 3-1 which is 2 which is non - zero value so this expression is a quadratic equation.

Option ii

x+ [tex]\frac{1}{x}[/tex] =1

=> [tex]x^2[/tex] -x +1=0

so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.

Option iii

[tex]x^2[/tex] -3x=0

so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.

so all the 3 option represents a quadratic equation.

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Annie loved the first novel she read by Danielle Steel. Ms. Steel has just published a new novel, and it got great reviews. Therefore, it is likely that Annie would like that novel too which means that the argument is inductive and it is a weak one.

This is a type of argument which is characterized by the arguer believing that the truth of the premises provides only good reasons to believe the conclusion is probably true.

In this scenario since Annie liked the author's previous books and the new one had great reviews then it is probably true that she would also like it and it is a weak one because assuming the premises are true,then it is probable for the conclusion to be false.

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Answer:

$43

Step-by-step explanation:

165/5=33

33+10=43

Answer:

43

Step-by-step explanation:

165/5 =

33..

+10

43

By combining the like terms from the given expression we get 2y-13

what is an algebraic expression ?

Algebraic expression can be defined as the combination of  constants , variables and operators.

Algebraic expressions are the concept of expressing numbers using letters or alphabets without specifying their real values. The basics of algebra taught us a way to specific an unknown value the usage of letters which includes x, y, z, and many others. those letters are called here as variables. An algebraic expression may be a combination of each variables and constants. Any value this is positioned before and increased through a variable is a coefficient.

Given ,

The expression ,

=y-9+y-4

=y+y-(9+4)

=2y-13

Hence , By combining the like terms from the given expression we get 2y-13.

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Michael and Ashley bought same amount of turkey and ham.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Michael and Ashley each buy x pounds of turkey and y pounds of ham.

Michael purchased from store A.

Cost of turkey per pound at store A = $3

Cost of ham per pound at store A = $4

Michael spends $18 at store A.

3x + 4y = 18

Ashley purchased from store B.

Cost of turkey per pound at store B = $4.50

Cost of ham per pound at store B = $6

Ashley spends $27 at store B.

4.5x + 6y = 27

We get two linear equations,

3x + 4y = 18

4.5x + 6y = 27

Multiplying the first equation throughout with 4.5 and the second equation throughout with 3, we get,

13.5x + 18y = 81

13.5x + 18y = 81

Since both the equations coincide, Michael and Ashley bought same amount of Turkey and Ham.

Hence Michael and Ashley bought same amount of turkey and ham.

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Answer:

0

Step-by-step explanation:

if no term exists in an expression this means it has a coefficient of 0

The rectangle flooring needs to be installed in his rectangular laundry room, which has dimensions of = 12 * 12 and a floor area of = 144 ft2.

A rectangle is a polygon with four right angles in Euclidean plane geometry. You may also refer to it as an equiangular quadrilateral, meaning that all of its degrees are comparable. A straight angle could also be present in the parallelogram. Rectangles with four evenly sized sides are called squares. Four 90-degree vertices with equal parallel sides make up a quadrilateral with the outline of a rectangle. As a result, it's also known as a georeferencing rectangle. A rectangle is also referred to as a parallelogram since its opposite sides remain parallel and equal.

given

are of floor = 12 * 12

= 144 ft2

The rectangle flooring needs to be installed in his rectangular laundry room, which has dimensions of = 12 * 12 and a floor area of = 144 ft2.

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