Help please!

I don’t understand how to do any of this.

Help Please!I Dont Understand How To Do Any Of This.

Answers

Answer 1

The answers to the geometry questions are given as follows:

2)

a)

A = 8

b = 10

x = 118°

y = 62°

b)

a = 8

b = 15

y = 50

x = 100°

3)

(a)

∠2 = 25°

3 = 65°

∠4 = 65°

∠5 = 90°

(b)

since SL = 10,

i) LT  10

ii) TM = 10

iii) SM = 10

4)

a) Since m∠118

∠2 = 18°

∠3 = 72°

∠4 = 72°

If FA = 27, then LO = 13.5

5)
a) All the angles in the diagram are equal to ∠45°
b) Line BC = 6√2
c) Line BE  = 6

The above are solved using the principles behind the properties of Parallelograms; Rhombus, Rectangle, and Square.

What is the Justification for the above responses?

Since the above answers are justified by the qualities or properties of :

Parallelograms; Rhombus, and Rectangle, let's look at them one by one.

2

a)

A = 8 - opposite sides of a parallelogram are equal in length

b = 10 -opposite sides of a parallelogram are equal in length

y = 62° - opposite angles of a parallelogram are of equal measure.

x = 118° - Sum of angles of a parallelogram - 360°. x = (360 - (62*2))/2

= 118°

3)

(a) Here we have a Rhombus.

∠2 = 25° - Opposite angles of a rhombus are equal; Diagonals bisect the angles of a rhombus. Thus ∠1≅∠2

∠3 = 65° - Since diagonals bisect each other at right angles, ∠3 = 180 - (25+90) = 65°

∠4 = 65° - Diagonals bisect the angles of a rhombus. Thus, ∠3≅∠3

∠5 = 90° - [properties of a Rhombus]

(b)

since SL = 10,

i) LT  10 - All sides of a Rhombus are equal

ii) TM = 10 - All sides of a Rhombus are equal

iii) SM = 10 - All sides of a Rhombus are equal

4) Here we have a Rectangle.

a) Since m∠18

∠2 = 18° because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠2≅∠1 (AAS)

∠3 = 72° - Each interior angle is equal to 90 degrees. Thus, m∠ =  90-18 = ∠72°

∠4 = 72° - because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠4≅∠3(AAS)

If FA = 27, then LO = 13.5 - The diagonals bisect each other.Thus,

LO = FA/2

LO = 27/2

LO = 13.5

5) Here we have a square.
a) All the angles in the diagram are equal to ∠45°. This is because, the diagonals bisect all interior angles. Since each interior angle is 90°, thus, each of the resulting angle bisected 45°

b) Line BC = 6√2 - This is be
c) Line BE  = 6

The length of one-half of the diagonal of a square can be found using the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

Let s be the side length of the square. Then, the length of the diagonal of the square (d) can be found using the equation d = s√2.

In this case, s = 6√2. So, the length of the diagonal (d) is:

d = s√2 = (6√2)√2 = 6(√2)(√2) = 6(2) = 12

Therefore, one-half of the diagonal of the square is:

(1/2)d = (1/2)(12) = 6

So, the length of one-half of the diagonal of the square ABCD is 6.

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Related Questions

what value represents the number of ways in which the expected classes are free to vary in the chi‑square goodness‑of‑fit test?

Answers

In the chi-square goodness-of-fit test, the number of ways in which the expected classes are free to vary is represented by the degrees of freedom (df) of the test.

The degrees of freedom for the chi-square goodness-of-fit test are calculated as df = k - 1, where k is the number of categories or classes being compared.

In this test, we compare the observed frequencies in each category with the expected frequencies, assuming that the null hypothesis is true. The null hypothesis is that there is no significant difference between the observed and expected frequencies, and any deviation between the two is due to chance.

The degrees of freedom are the reflection of the number of independent pieces of information that are available to estimate the expected frequencies.

The more degrees of freedom, the more likely it is that the observed frequencies could be due to chance, and the less significant the test result will be. Conversely, fewer degrees of freedom means that the observed frequencies are more likely to be significantly different from the expected frequencies, and the test result will be more significant.

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Which answer choice below is equivalent to 50(1+0.15)" ?
A (50.15)*
B 50 (1.15)
c) None of the above
D (57.5)
E (50+ 50.15)*
F) All of the above

Answers

The answer choices  50(1.15)  and 57.5 below are equivalent to 50(1+0.15)

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

50(1+0.15)

Add the numbers

= 50(1.15)

Multiply the  numbers

= 57.5

The answer choices  50(1.15)  and 57.5 below are equivalent to 50(1+0.15)

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what do i do if there is a word problem with x but there isnt a number for x

Answers

You might need to utilise algebra to answer for the variable x in a word problem if there isn't a particular number provided for it.

Create an equation involving x using the information provided.

For instance, if the question is, "What is the value of x if x is 5 more than twice y and y is 3?" you may write up an equation like this:

x = 5 + 2y

x = 5 + 2(3) (3) (Replace y = 3)

x = 11

By changing the supplied value of y, you can answer for x in this situation by first solving the ensuing equation.

You might need to utilise many equations and algebraic techniques like substitution, elimination, or graphing to solve for x if the issue is more complicated. It could be beneficial to divide the problem into smaller steps and work through each step methodically if you are unclear of how to proceed.

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the state narcotics bureau must form a 5-member investigative team. if it has agents from which to choose, how many different possible teams can be formed?

Answers

the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).

Assuming that the state narcotics bureau has more than 5 agents from which to choose, the number of different possible teams that can be formed is equal to the number of combinations of 5 agents out of the total number of agents the bureau has. This can be calculated using the formula nCr (n choose r), where n is the total number of agents and r is the number of agents in each team, which in this case is 5.

Therefore, the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).

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Please Help will mark Brainliest!!!

Answers

Answer: Neither

3, 5, 9,17

+ 2 +2

They are not the same #'s.  For example, if you add 5 and 2 together you get  7. 9 does not equal 7. Not arithmetic,  or geometric sequence.

Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.
(a) How many ways can this be done, if the order of the choices matters?
(b) How many ways can this be done, if the order of the choices does not matter?

Answers

If the order of choices matter, then;

Number of ways = 20

Also, if order of choices does not matter, then;

Number of ways = 10

Total number of choices = 5

Object choices = 2

By method of permutation

Number of ways =  5! / (5-2)!

Number of ways = 5! / 3!

Number of ways = 5 x 4

Number of ways = 20

Total number of choices = 5

Object choices = 2

By method of combination

Number of ways =  5! / (5-2)! 2!

Number of ways = 5! / 3! 2!

Number of ways = 5 x 4 / 2

Number of ways = 20 / 2

Number of ways = 10

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a rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex. what is the shape of the cross section?

Answers

When a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid.

To understand why this is the case, it is helpful to visualize a rectangular pyramid. A rectangular pyramid is a three-dimensional figure with a rectangular base and four triangular faces that meet at a single point at the top, known as the vertex.

If a plane is passed through the pyramid perpendicular to the base but not through the vertex, it will intersect each of the four triangular faces of the pyramid at a different angle, resulting in a cross section that has four sides.

Since the base of the rectangular pyramid is a rectangle, the two opposite sides of the trapezoid cross section will be parallel, and the other two sides will be non-parallel. The shape and size of the trapezoid cross section will depend on the orientation of the plane with respect to the rectangular pyramid.

In summary, when a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid with two parallel sides and two non-parallel sides.

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-12,1 and x,7 when m = 1/8

Answers

The x has a value of 36. The line's two points are (-12, 1) and (36, 7).

The purpose of slope calculation?

The slope of a line frequently represents the steepness and direction of the line. The slope of a straight line between the two locations, (x1,y1) and (x2,y2), can be easily determined by calculating the difference between their coordinates.

We can apply the slope formula to determine the value of x:

m is the slope and (x1, y1) and (x2, y2) are two points on the line, with m = (y2 - y1) / (x2 - x1).

We are given the point (x1, y1) = (-12, 1) and the slope m = 1/8. We are also given the y-coordinate of the other point as y2 = 7.

Plugging in the known values, we get:

1/8 = (7 - 1) / (x - (-12))

Simplifying and solving for x, we get:

1/8 = 6 / (x + 12)

1 = 48 / (x + 12)

x + 12 = 48

x = 36

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a theater charges $8 for main floor seats and $5 for balcony seats. for a full house, the ticket income is $4,200. at one show, only 25% of the main floor seats and 40% of the balcony seats were sold for a total of $1,200. how many main floor tickets and how many balcony tickets were sold for this show?

Answers

By solving a system of equations we can see that there are 400 main-floor seats and 200 balcony seats.

Let x = number of seats on the main-floor

y = number of balcony seats

We know that if all the seats are sold, then the total income is $4,200, we can write the equation:

x*8 + y*5 = $4,200

And if 25% of the main-floor and 40% of the balcony seats are sold, then we get an income of $1200, then we can write:

0.25*x*8 + 0.4*y*5 = $1,200

x*2 + y*2 = $1,200

2(x + y) = $1200

x + y = $600

x = 600 - y

putting the value of x in equation1)

8(600-y) + 5y = 4200

4800 - 8y + 5y = 4200

3y = 600

y = 200

and x = 600 - 200 = 400

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what is the rate constant at 42.4 ∘c based on the data collected for trial e?

Answers

The rate constant at 42.4 based on trial E is Value[k = 2.68 X 10^-3] and Units[M-1 s-1]

The rate constant at 42.4 0C is [acetone] initial = 0.2 M, [H+] initial = 0.01 M, so rate= k [acetone] [H+] 5.37 X 10^-6 = k X 0.2 X 0.01, k = 2.68 X 10^-3 , and the order of the reaction is two therefore the unit of the speed constant is M-1 s-1. reaction rate constants and rate laws is a fundamental concept in chemical kinetics, which is the study of the rates and mechanisms of chemical reactions. Reaction rate constants are specific to a particular reaction and are influenced by several factors, including temperature, concentration of reactants and products, the presence of a catalyst, and the activation energy of the reaction. The rate constant is related to the activation energy through the Arrhenius equation, which is given by k = A * exp(-Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the absolute temperature. The rate law of a chemical reaction describes the mathematical relationship between the rate of the reaction and the concentrations of the reactants. It is determined experimentally by measuring the initial rate of the reaction under different concentrations of the reactants. The rate law is typically expressed as Rate = k[A]^m[B]^n, where k is the rate constant, A and B are the concentrations of reactants, and m and n are the orders of the reaction with respect to A and B, respectively.

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25kg= blank lb i need help plese i have 2 min left

Answers

Answer: 25,000 grams

Step-by-step explanation:Really sorry if im wrong.

5. People Population The country of Elbonia was established in 2012. Its population at the time was 5
million and is growing at an annual rate of 3.2%. The neighboring country of Neecapia was established
at the same time. Its population was 4.1 million and is growing at an annual rate of 6.5%.

Answers

Answer:

Step-by-step explanation:

yes because the montly rate is 6.5%

which of the ordered pairs (18,8) , ( 8,18) , (9,4) or (4,9) is a solution to the system of equations

Answers

When we solve the provided question, the equations will be - > x = 1/2 y + 5

What exactly is an equation?

A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is commonly only one parameter, which also provides as the symbol. For instance, 2x - 4 = 2.

Here, the equations will be -

x = 1/2 y + 5

2x + 3y = 14

2(1/2y + 5) +3y = -14

y = -6    

and x 2

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What is the area of this compound figure?

Answers

the answer is 66

its easy... you posted this as high-school... this is 6th grade work

Area is 69 km2

………..,……….

If m∠HZJ = 38°, what is m∠HZG?

Answers

Answer:

142 degrees

Step-by-step explanation:

since line GJ is a straight line, its angle measure is 180 degrees. The measure of angle HZJ is 38. Angle HZJ and angle HZG are supplementary, which means their angle measures add up to 180 degrees. So,

180-38=142.

Hope this answer helps!! :D

n the manufacturing of a plastic material, it is be- lieved that the cooling time has an influence on the impact strength. therefore a study is carried out in which plastic material impact strength is determined for 4 different cooling times cooling time in second : 15 25 35 40 impact strength in kj/m2 : 42.1 36.0 31.8 28.7 a) find explanatory and response variable? b) find equation of linear model that describes re- lationship between predicted value of response and explanatory variable? c) based on r2, what you can say about response and explanatory variable?

Answers

Explanatory variable: Cooling time in seconds

Response variable: Impact strength in kj/m2

To find the equation of the linear model that describes the relationship between the predicted value of the response and the explanatory variable, we can use linear regression analysis. Using a statistical software or a calculator, we can find the slope and intercept of the line that best fits the data.

The equation of the linear model is:

Impact strength = -1.23 * Cooling time + 62.61

R-squared (R2) is a statistical measure that represents the proportion of the variance in the dependent variable (impact strength) that is explained by the independent variable (cooling time). It ranges from 0 to 1, with higher values indicating a better fit of the model.

Based on the value of R2, we can say how much of the variation in impact strength can be explained by cooling time. The closer R2 is to 1, the better the model fits the data, and the more likely it is that the impact strength is affected by cooling time. A value of 1 would indicate that all the variation in impact strength is explained by cooling time, while a value of 0 would indicate that cooling time has no effect on impact strength.

          Without knowing the actual value of R2, we cannot say for sure what the relationship is between the explanatory and response variables. However, if the value of R2 is high (close to 1), we can conclude that cooling time has a significant effect on impact strength. If the value of R2 is low (close to 0), we cannot conclude that cooling time has a significant effect on impact strength.

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Anshumann wants to paint the wall shown in the diagram below. In order to buy the paint, he will need to know the area of the wall. What is the area of the wall?

1 point

Answers

Answer: 240 ft²

Step-by-step explanation:

Break the diagram into a rectangle and triangle:

Area of Rectangle + Area of Triangle = Total area of Wall

(20x10) + 1/2(20 x 4) = Area of wall

200 + 40 = Area of wall

240 ft² = Area of wall

Hare Krishna :)

If five people share three cartons of chow mein what is each person’s share

Answers

Answer:

1.66

Step-by-step explanation:

hope this helps

Answer:

3/5 or 0.8

Step-by-step explanation:

3 Cartons, divided by 5 people =

3/5 or 0.8

what is the order of processes that support the central dogma?

Answers

The order of processes that support the central dogma are:1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

The central dogma of molecular biology describes the flow of genetic information within a biological system. The method by which DNA instructions are translated into useful products is known as the "Central Dogma." Francis Crick, who discovered the structure of DNA, first put up the idea in 1958.

The order of processes that support the central dogma are:

1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

In summary, the central dogma can be described as follows: DNA is replicated to make more DNA, DNA is transcribed into RNA, and RNA is translated into proteins.

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Abby loves riding Ferris wheels and
roller coasters. While visiting the Polk
County Fair, she first went on the
Ferris wheel 5 times and the roller
coaster 4 times, using a total of 26
tickets. Then, after taking a break and
having a snack, Abby went on the
Ferris wheel 5 times and the roller
coaster 3 times, using a total of 22
tickets. How many tickets does it take
to ride each attraction?

Answers

Answer:

ferris wheel: 2

roller coaster: 4

Step-by-step explanation:

Variables

y = ferris wheel tickets

x = roller coaster tickets

Two equations

5y + 4x = 26

5y + 3x = 22

Using Elimination (minus the top and bottom)

We get:

x = 4 (because 5y - 5y is zero, 4x - 3x is x, and 26 - 22 is 4)

Since the roller coaster price is know, you can sub it into any of the two equations and fine ferris wheel price.

5y + 3(4) = 22

5y + 12 = 22

5y = 10

y = 2

Therefore:

ferris wheel charges 2 tickets

roller coaster charges 4 tickets

Answer:

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Vince works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 16 strands of lights to decorate 2 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 4 trees, using a total of 44 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Vince use on each?

Vince decorated every bush with

strands of lights and every tree with

strands.

The side length of a square is( 2/3g+1) cm. Use this information to complete parts (a) and (b)

Answers

The perimeter of a square with length of a side given as 2/3g + 1 cm is 8/3g + 1 cm.

Let's call the length of a side of the square "s". According to the information given, s = 2/3g + 1 (in cm).

The perimeter of a square is equal to the sum of the lengths of all four sides, so we can write an expression to represent the perimeter as follows:

P = 4s

Substituting the expression for s from above, we get:

P = 4(2/3g + 1)

So, the expression for the perimeter of the square in terms of g is:

P = 4(2/3g + 1)

Therefore, P = 8/3g + 1.

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Complete question: the length of a square is( 2/3g+1)cm use this information to write an expression to represent the perimeter of the square.

A and be are both negative integers with a>b. Classify these are true or false. A) b

Answers

The statement "sum of a and b integers is a negative integer" is true given that A and B are both negative integers and A is greater than B.

When we add two negative integers, the sum is always negative. This is because adding a negative number is the same as subtracting its absolute value. Therefore, if A and B are negative integers, then A + B will be negative as well.

Since A > B, the sum A + B will be closer in value to A than to B. However, it will still be negative because A and B are both negative integers.

So, the sum of A and B is a negative integer, and the statement is true.

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____ The given question is incomplete, the complete question is given below:

A and B are both negative integers with a>b. Classify this are true or false. sum of a and b integers is a negative integer.

One way of writing 75 as the sum of consecutive whole numbers is 24 + 25 + 26. How many other ways are there? ​

Answers

Answer:

None. [tex]24+25+26[/tex] is the only valid answer

Step-by-step explanation:

We can create an expression for the sum of 3 consecutive numbers.

[tex]S=x+(x+1)+(x+2)[/tex]

Which we can simplify to

[tex]S=x+x+1+x+2[/tex]

[tex]S=3x+3[/tex]

In this example we are given a sum of 75.

[tex]75=3x+3[/tex]

Lets solve for [tex]x[/tex].

Subtract 3 from both sides.

[tex]72=3x[/tex]

Divide both sides by 3.

[tex]24=x[/tex]

To find out what the 3 numbers are we can plug in 24 for x

[tex]x+(x+1)+(x+2)[/tex]

[tex]24+(24+1)+(24+2)[/tex]

[tex]24+25+26[/tex]

Answer:

  4 other ways (5 ways, total).

Step-by-step explanation:

You want to know how many other ways 75 can be written as the sum of consecutive whole numbers other than 24+25+26.

Solution

If 75 is written as the sum of an odd number of integers, the middle integer of the set will be 75 divided by the number of integers. The divisors of 75 are {1, 3, 5, 15, 25, 75}. If the numbers in the sum are non-negative, the number of integers involved cannot be more than √(2·75) ≈ 12. Then allowed odd numbers of integers in the sum are 3 and 5.

If 75 is written as the sum of an even number of integers, the quotient when 75 is divided by the number of integers must be 1/2 more than a whole number. Such integer divisors are 2, 6, and 10.

Sums

  37 + 38 = 75 . . . . 2 integers

  24 + 25 + 26 = 75 . . . . 3 integers (the given sum)

  13 + 14 + 15 + 16 + 17 = 75 . . . . 5 integers

  10 + 11 + 12 + 13 + 14 + 15 = 75 . . . . 6 integers

  3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 75 . . . . 10 integers

There are 4 other ways to use consecutive non-negative integers to make a sum of 75.

A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 7 ft from the
is the top of the ladder from the ground? Round your answer to the nearest tenth.
Check
68°
O
X
Save-
©2023 McGraw Hill LLC. All Rights Reserved
T

Answers

Answer:

17.3 feet

Step-by-step explanation:

We can use the tangent function to evaluate the height of the building.

The definition of the tangent function is

[tex]\tan x=\frac{O}{A}[/tex]

Where

[tex]A[/tex] is the side adjacent to the angle

[tex]O[/tex] is the side opposite to the angle

In this example we are given values of the adjacent side and the angle.

Knowing that we can evaluate the side opposite to the angle.

Numerical Evaluation

We are given

[tex]x=68\\A=7[/tex]

Substituting these values into the equation for the tangent function yields[tex]\tan 68=\frac{O}{7}[/tex]

Lets solve for [tex]O[/tex].

Multiply both sides by [tex]7[/tex].

[tex]O=7*\tan 68[/tex]


Evaluate [tex]\tan 68[/tex].

[tex]O=7*2.47508685[/tex]

[tex]O=17.325608[/tex]

Rounding to the nearest tenth gives us

[tex]O=17.3[/tex]

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State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.

Answers

Answer:

ASA

Step-by-step explanation:

There are two pairs of congruent angles, and the pair of congruent sides is included between the angles.

The equation 7(2W + 3) = 14W + 20 has no solutions. Change one term in the original equation to create a new equation with infinitely MANY solutions.​

Answers

One term in the original equation that needs to be changed to create a new equation with infinitely many solutions is 20 to 21.

What is an equation?

An equation is a mathematical or algebraic statement that shows that two or more mathematical expressions are equal or equivalent.

Equations are depicted using the equal symbol (=), unlike mathematical expressions, which consist of variables, constants, numbers, and values.

7(2W + 3) = 14W + 20 does not have a solution because the first expression is unequal to the second expression and cannot be said to be an equation.

7(2W + 3) = 14W + 21 have many solutions for W.

Thus, changing 20 to 21 gives the original equation an indefinite number of solutions for W.

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Determine algebraically whether the given function is even, odd, or neither: f(x) = x5 - x3 + x.
Functions are very important concepts in mathematics. There are many types of functions, which include even functions, odd functions, or neither odd nor even functions.

Answers

The function f(x) = x⁵ - x³ + x is odd. It satisfies the condition f(-x) = -f(x), making it an odd function.

To determine whether the function f(x) = x⁵ - x³ + x is even, odd, or neither, we need to test if the function satisfies the following conditions for all x:

f(-x) = f(x) for even functions

f(-x) = -f(x) for odd functions

If the function satisfies neither of these conditions, then it is neither even nor odd.

Testing f(-x) = f(x):

f(-x) = (-x)⁵ - (-x)³ + (-x) = -x⁵ + x³ - x

f(x) = x⁵ - x³ + x

Since f(-x) is not equal to f(x), the function is not even.

Testing f(-x) = -f(x):

f(-x) = (-x)⁵ - (-x)³ + (-x) = -x⁵ + x³ - x

-f(x) = -(x⁵ - x³ + x) = -x⁵ + x³ - x

Since f(-x) = -f(x), the function is odd.

Therefore, the given function f(x) = x⁵ - x³ + x is odd.

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The vertices of △JKL are J(−3, −2), K(1, 4), and L(4, 2). Find the vertices of the image of △JKL under the dilation centered at the origin with scale factor 5.

Answers

The coordinate pairs of vertices  D₅ (△JKL) of  are J'(-15,-10), K'(5,20) and L'(20,10).

What does a math definition of a coordinate plane mean?

A surface with two dimensions known as the coordinate plane is created by two number lines. The x-axis is a single number line that runs horizontally. The y-axis is the name given to the vertical number line that is the other number line.

                              A place known as the origin is where the two axes collide. To graph points, lines, and other things, we can utilize the coordinate plane.

We know that, D₅ (△JKL) means triangle JKL dilated by scale factor 5 with origin as center of dilation.

If a figure is dilated by factor k and origin is the center of dilation, then

    ( x, y )    ⇒ ( kx , ky )

 From the given problem, the rule of dilation is

       ( x , y ) ⇒ ( 5x , 5y )

Now

    J( -3 , -2 ) ⇒ J'( 5(-3), 5(-2)) = J'( -15 , -10 )

  K( 1,4 ) ⇒ K'(5(1) , 5(4)) = K'( 5,20 )

   L( 4,2 ) ⇒ L'(5(4), 5(2)) = L'( 20,10 )

Therefore, the coordinate pairs of vertices  D₅ (△JKL) of  are J'(-15,-10), K'(5,20) and L'(20,10).

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A repeated-measures research study and a separate independent-measures research study both produced a t statistic with df = 10. How many individuals participated in each research study?
Group of answer choices
a.)n = 12 for a repeated-measures research study and n = 11 for an independent-measures research study
b.)n = 12 for a repeated-measures research study and n = 12 for an independent-measures research study
c.)n = 11 for a repeated-measures research study and n = 11 for an independent-measures research study
d.)n = 11 for a repeated-measures research study and n = 12 for an independent-measures research study

Answers

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).



In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

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This is the correct answer

Answers

Answer: yes

Step-by-step explanation:

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