Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Viewer's Age Group
Excellent
Good
Average
Poor
Marginal Total
16-25
52
42
12
113
26-35
33
50
9
97
36-45
58
12
28
34
132
16-55
25
17
22
12
76
564
12
8
28
Marginal Total
180
126
70
70
446
Note: A rating of good or excellent means the audience liked the movie, while rating of poor means the audience disliked the
movie
A movie producer conducted a survey after : preview screening of her new movie to find out how the film would be received by viewers from different
age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average; and poor.
Out of the total respondents, the percentage of respondents from the 46-55 age group who rated the film excellent is
to two decimal places.
% Write your answer up to two decimal places.

A linear equation is an equation in which the highest power of the variable is 1 and a nonlinear equation is an equation in which the highest power of the variable is greater than 1.

A linear equation example:

y = 2x + 3

This is a linear equation in one variable, x. The highest power of x is 1 and the coefficient of x is 2.

A nonlinear equation example:

y = x^2 + 3x + 2

This is a nonlinear equation in one variable, x. The highest power of x is 2 and the coefficient of x is 1.

Another example of nonlinear equation is:

y = x^3+3x^2-5x+1

This is a nonlinear equation in one variable, x. The highest power of x is 3 and the coefficient of x is 1.

Note that the linear equation can be in any number of variables, and the nonlinear equation can also be in any number of variables, but the degree of the polynomial should be greater than 1.

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The polynomial 8x⁴ - (2/3)x² - (2/3)x correctly combines the like terms and puts the polynomial (1/3)x + 8x⁴ - (2/3)x² - x in the standard form option (C) is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The polynomial:

(1/3)x + 8x⁴ - (2/3)x² - x

Adding combine like terms:

= 8x⁴ - (2/3)x² + (1/3)x - x

= 8x⁴ - (2/3)x² - (2/3)x

Thus, the polynomial 8x⁴ - (2/3)x² - (2/3)x correctly combines the like terms and puts the polynomial (1/3)x + 8x⁴ - (2/3)x² - x in the standard form option (C) is correct.

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Yes, the distributive law is followed by the addition arithmetic operation. 

Distributive Property of Multiplication Over Addition: This implies that the operation involves dividing or distributing the things. The distributive law applies to addition and subtraction arithmetic operation.

For example, let us multiply 8 by the sum of (20 + 3). Mathematically, we can represent this as 8 (20 + 3). First, use the distributive property to multiply each addend by 8. This is called distributing the number 8 over two addenda and then adding their products. That is, multiplication of 8(20) and 8(3) will be performed first, then addition. The result is 8 (20) + 8 (3) = 160 + 24 = 184.

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Answer: The scale factor of triangle CAT to triangle MUD is the ratio of the corresponding side lengths of the two triangles. In this case, we are told that the sides of triangle CAT are 9, 18, and 21 units long, and the sides of triangle MUD are 3, 6, and 7 units long.

To find the scale factor, we divide the length of each side of triangle CAT by the length of the corresponding side of triangle MUD:

Scale factor = (9/3), (18/6), (21/7) =3,3,3

So the scale factor of triangle CAT to triangle MUD is 3. This means that triangle CAT is 3 times larger than triangle MUD.

It's worth noting that the scale factor is the same for all three sides, this means that the two triangles are similar.

Step-by-step explanation:

Answer:r=175 this is for IXL I hope this helps

Step-by-step explanation:

r/-25 =-7

Multiply both sides of the equation by -25

-25 times r/-25=-25 time (-7)

Multiplying two negatives equals a positive: (-) times (-) =(+)

25•r/25=-25•(-7)

then

Cancel out the greatest common factor 25

R=-25 times (-7)

Also Multiplying two negatives equals a positive: (-) times (-) =(+)

r=25 times 7

Multiply the numbers 25•7

Then you get

R=175

The factors of polynomial a² - 2ab + b² is equals to the (a - b)², that is (a -b) and (a-b).

To determine the factors we can use the concept of splitting the middle terms and first making the pair of two terms and then finding the common factors from the paired terms and finally the factors for the expression. We have an expression, a² - 2ab + b². Using the concept of to split the middle term. As we see there is three terms in the expression.

Thus, we can rewrite the expression as

=> a² - ab - ab + b²

Make the pair of two terms in the above expression, (a² - ab) - ( ab - b²).

Take common factors from the paired terms,

=> a(a - b) - b(a - b).

Take the common factors in the above equation => (a - b) (a - b)

=> (a - b)¹⁺¹ = (a + b)²

Hence, factor of a² - 2ab + b² is (a-b)² i.e., (a - b) and (a - b).

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complete question:

What is the factor of the polynomial a² - 2ab + b²?.

A mixed number is a whole number, and a proper fraction represented together.

Now, According to the question:

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

A fraction denotes a portion of a whole. Therefore, if we have to read a fraction say ¾, then it read as three-fourth of a whole. In the same way, we read the other fractions such as:

½ – half of a whole

¼ – one-fourth of a whole

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All 3 angles of a triangle always add up to 180 degrees.

This is because a triangle is a three-sided polygon and the sum of the angles in any polygon is always 180 degrees multiplied by the number of sides minus 2. Therefore, in a triangle, which has three sides, the sum of the angles is 180 x (3-2) = 180 degrees. This rule is known as the "triangle angle sum theorem" and is a fundamental property of triangles. It is important to note that this rule applies to all types of triangles, whether they are right triangles, acute triangles, or obtuse triangles. Understanding this theorem is crucial in solving geometric problems related to triangles.

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The inequality |y -8 | + 11 > 19 can be solved to get the compound inequality:

y > 16

y < 0

Here we want to solve the inequality:

|y - 8| + 11 > 19

To solve the inquality, we need to isolate the variable, we can start by subtracting 11 in both sides, then we will get:

|y - 8| + 11 - 11 > 19 - 11

|y - 8| > 8

Now we can decompose that into two inequalities so we get:

y - 8 > 8

y - 8 < -8

Solving these two we will get:

y > 8 + 8 = 16

y < -8 + 8 = 0

The the solution is the compound inequality:

y > 16

y < 0

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Answer:

9854+w8r++0.3

Step-by-step explanation:

32927372737347599939

Answer:

B. 66 degree

Step-by-step explanation:

We know

A triangle is 180 degrees. Angle B is 27 degrees, and angle C is 87 degrees. To find angle A, we take

27 + 87 = 114 degree

180 - 114 = 66 degree

So, the answer is B. 66 degree

If the fifth day of the month is two days after Monday, then the fifth day would be Wednesday. Additionally, the 19th would be a Wednesday, that is, the day before the 19th would be Tuesday the 18th.

To identify the day of the week that coincides with the date 19 and 5 we must have the information as a reference:

The fifth day is two days after Monday.

According to the information above, the fifth day would be a Wednesday. Additionally, we must use this information to organize the rest of the days of the month as shown below:

According to the above, the 19th would be Wednesday and the day before this would be Tuesday the 18th.

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Three numbers that would not be appropriate for the input (x) on a function table for this equation would be:

1. A negative number, such as -5. This is because the number of hives cannot be negative, it is a physical quantity.

2. A non-integer, such as 3.5. This is because the number of hives cannot be a fraction or decimal, it is a whole number.

3. A number greater than 1, such as 2. This is because in the context of the problem, one hive is assumed, and the function is describing the production of one hive.

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Answer:

17.031g/mol

Step-by-step explanation:

pay attention in class

The correct way to write greater than 35 is A > 35 where it tells that A having greater value than 35.

In mathematics,

→The greater than symbol (>) is used to indicate that one value is larger than another. For example, if we say "A > B," this means that the value of A is greater than the value of B.

→The less than symbol (<) is the opposite, it indicates that one value is smaller than another. For example, if we say "A < B," this means that the value of A is less than the value of B.

→The greater than or equal to symbol (≥) indicate that one value is larger than or equal to another. For example, if we say "A ≥ B," this means that the value of A is greater than or equal to the value of B.

→The less than or equal to symbol (≤) indicate that one value is smaller than or equal to another. For example, if we say "A ≤ B," this means that the value of A is less than or equal to the value of B.

These symbols are commonly used in mathematical expressions, equations, and inequalities.

To write "greater than 35" in mathematical notation, you would use the greater than symbol (>) followed by the letter 35. For example:

A > 35

This means that A is greater than 35.

Therefore, the correct way to write greater than 35 is A > 35 where it tells that A having greater value than 35.

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Answer: what do you have to do

Step-by-step explanation:

Answer: F

the inequality is x<3

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

In 36 months the populations of the 2 cities be the same .

What is additive comparison?

In an additive comparison, we question or state how much more (or less) one amount is in contrast to the other to determine the relationship between the two numbers. Additive comparison issues are typically word problems that can be resolved by creating an equation.

The comparison approach is a technique for rewriting each equation with the same variable as the subject in order to solve systems of independent equations. The initial variable to isolate can be any of the variables. Every equation is now an isolated-subject equation with an isolated variable.

Let,

  if in about x month, the population of the towns will be equal .

the equation will be;

                          70,000 + (150-100)x = 61,000 - 200x

                        ⇒  70,000 + 50x = 61,000 - 200x

                        ⇒ 250x = 9000

                       ⇒ x = 9000/250

                      ⇒ x = 36

So, in 36 months the populations of the 2 cities be the same .

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Answer:

2.74

Step-by-step explanation:

Answer: 2.74

Step-by-step explanation: When it says 1/5 of this number, you just divide it by the denominator (5) So, 13.7 / 5 = 2.74. To check, we multiply 2.74 by the denominator. (5) We get 13.7. This makes the statement true. I hope this helped!

If the degree is odd and and the leading coefficient is negative then the right end of the graph will point down and the left end will point up .

The End Behaviour of the graph of polynomial is said to be defined by the degree and leading coefficient of polynomial .

the end behaviour for the Odd degree polynomial is given as :

(i) If the degree of polynomial is odd and lead coefficient is positive, then the right end of graph will point up and the left end will point down.

(ii) If the degree of polynomial is odd and the lead coefficient is negative, then right end of graph will point down and left end will point up .

So , according to the question , for the given condition , the right end will point down and left end will point up .

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Answer:

Answer is 1

Step-by-step explanation:

Answer:

m = 24

Step-by-step explanation:

To solve the equation m/3-7 =1, we can start by isolating m on one side of the equation. To do this, we will add 7 to both sides of the equation:

m/3 - 7 + 7 = 1 + 7

m/3 = 8

The next step is to multiply both sides of the equation by 3 to get rid of the fraction:

m/3 * 3 = 8*3

m = 24

So the solution to the equation is m=24

well, consecutive numbers, we're assuming integers btw, so hmmm since they're consecutive, if the smallest is "a", the next is either "a-1" or "a+1", let's use

a = small

a+1 = larger

a+2 = largest

[tex]\stackrel{\textit{their sum}}{a+(a+1)+(a+2)}=87\implies 3a+3=87 \\\\\\ 3a=84\implies a=\cfrac{84}{3}\implies a=28[/tex]

The two expressions that make up an equation or an inequality are connected in a mathematical statement.

How do you identify inequalities?

The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 5x 4, is larger than the right part, 2x + 3, in the equation.

A mathematical inequality is a comparison made between two algebraic expressions using the larger than (>), less than (), and other inequality symbols. An inequality pair connected by and or or is referred to as a compound inequality.

B. 3t + 3.5c <= 180 and 30t + 38c >= 1500.

The first inequality represents the constraint that the carpenter cannot work more than 180 hours in a month. The second inequality represents the requirement that they earn at least $1500 in a month.

These two inequalities, combined, describe the conditions that the carpenter must satisfy in order to manufacture tables and chairs in a way that meets both the time constraint and the income requirement.

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The value of √N is 3.16159

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here: A quadrilateral WXYZ with ∠Z=75 and ∠X=105

Let P be a point on ZW such that ZP=x and WP=4-x, then we form a right-angled triangle ΔZPY with tan 15°=x/PY

∴ PY=x/tan 15

       =3.732x

Now using Pythagoras' theorem we get ZY as

 [tex]\sqrt{13.927x^2+x^2} \\=\sqrt{14.92x^2}\\ =3.862641x[/tex]

Now let's connect the diagonal ZX we get the right triangle ZWX

Thus using Pythagoras' theorem we get

ZX=[tex]\sqrt{4^2+4^2}[/tex]

    =4√2

Again let Q be an extension such that YQ=4-x & ∠YXQ=75°

Thus Sin 75=4-x/√N

            √N=4-x/0.965923

squaring both sides we get N=(4-x)²/0.9330127........(1

Now using the Pythagoras theorem in ΔZYX we get

√N=

[tex]\sqrt{ZX^2-ZY^2} \\=\sqrt{32-14.92x^2} \\[/tex]

⇒N=32-14.92x²..,.......2)

Thus equation two values of N we get

(4-x)²/0.9330127=32-14.92x²

16-8x+x²=29.8564-13.920549x²

14.921x²-8x-13.856=0

Thus using the quadratic formula we get the value of x as

x= 8±29.85 /29.84

x=1.2684  (∵ Distance cannot be negative)

∴ Value of N=32-14.92×1.2684

                    N=13.075

                   √N=3.6159

Hence, The value of √N is 3.16159

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The value of Cosec2a 1 and the value of Cot2a is also Cot A.

cosec 2A + cot 2A

1/sin2a + cos2a/sin2A

= (1+cos2A)/sin2a

=(1 + 2cos²a -1)/sin2A

=(2cos²A)/sin2A

= (2.cosA.cosA)/2.sinA.cosA

=cosA/sinA

=cotA

A right-angled triangle's hypotenuse to opposite side ratio is a right-angle triangle's trigonometric function known as the reciprocal of sine.

The cosecant of an angle in a right triangle is obtained by dividing the length of the hypotenuse by the length of the other side.

It is written as Cosec and csc on occasion. In trigonometry, it is one of the trigonometric functions.

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The solution set for the given inequality w + 43 ≤ 51 is; w ≤ 8. Hence,

It follows from the task content that the solution set for the given inequality w + 43 ≤ 51 is to be determined and it's solutions be identified among the answer choices.

Given; w + 43 ≤ 51

w ≤ 51 - 43

w ≤ 8.

On this note, the only number which is a solution among the given answer choices is 7 as it is less than 8.

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The algebraic expression to represent the total cost of joining the gym using "m" as a variable would be: 100 + (30m)

An equation is a mathematical statement that asserts the equality of two expressions. It is written in the form of "left-hand side = right-hand side," where both sides are expressions that are made up of numbers, variables, and mathematical operations.

The algebraic expression to represent the total cost of joining the gym using "m" as a variable would be:

100 + (30m)

This represents the one-time fee of $100 to join plus the monthly fee of $30 multiplied by the number of months, represented by the variable "m".

Thus, The algebraic expression to represent the total cost of joining the gym using "m" as a variable would be: 100 + (30m)

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Using "m" as a variable, the algebraic expression for the total expense of joining the gym would be: 100 + (30m)

This is the sum of the $100 one-time joining fee and the $30 per month price, multiplied by the variable "m," which stands for the number of months.

Therefore, using "m" as a variable, the algebraic expression to represent the overall expense of joining the gym would be: 100 + (30m)