Which polynomial is equivalent to 2 12)?? 022 – 242 + 144 0 22 +144 O 22 +242 + 144 22 - 24​

The perimeter of the figure is equivalent to 8x + 8

The given diagram is a composite figure. The perimeter of the figure is the sum of all the sides.

Taking the sum of all the sides

Sum = 3x - 2 + (x + 6) + (x + 5) + x + (x + 2) + (x - 3)

Sum = (3x + x + x + x + x + x) - 2 + 6 + 5 + 2 - 3

Sum = 8x + 4 + 7 - 3

Sum = 8x + 8

Hence the sum of the perimeter of the figure is 8x + 8

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There's not enough evidence to refute the publisher's claim.

Here, we are given that a newsletter publisher believes that 29% of their readers own a personal computer.

The testing firm believes this is inaccurate and hence conducts hypothesis testing to verify the claim.

They take a significance level of 0.02 and fail to reject the null hypothesis.

The null hypothesis of the testing firm would be- 29% of the readers own a personal computer because this is what is established by the publisher.

They fail to reject this null hypothesis which means that there is not enough evidence at 0.02 significant level that the percentage is not 29%.

Thus, there's not enough evidence to refute the publisher's claim.

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Answer:

\(1a+2p=14\\a+p=9\\\\a=4\\p=5\)

Step-by-step explanation:

\(1a+2p=14\\a+p=9\\\\a+p=9\\a=9-p\\\\1(9-p)+2p=14\\9-p+2p=14\\9+p=14\\p=5\\\\a=9-(5)\\a=4\)

Graphing:

Slope intercept form y=mx+b

a is y, p is x

y=-2x+14

y=-x+9

Intercept at (5,4)

line 1

3y = 4x + 5

y = 4/3x + 5/3

line 2

8x + 6y = -4

6y = -8x -4

y = -8/6x -4/6

y = -4/3x - 2/3

line 3

y = 3/4x + 6

since line 1 and 2 have different slopes, they are neither

since line 1 and 3 have different slopes, they are neither

since line 2 and 3 have the opposite slopes, they are perpendicular

The length of the given segment is 1.6cm.

The length of a line segment can be measured by measuring the distance between its two endpoints. It is the path between the two points with a definite length that can be measured.

On a graph, the length of a line segment can be found by using the distance formula between its endpoints.

A scale (ruler)

An instrument used to measure the length of a line segment is the scale (ruler). Scale (rulers) are used for measuring a line, and the straight edge allows them to be used for drawing, scoring etc.

In the given segment we will place the scale on 0cm

Then we will draw two points starting from 0 cm to the given red line.

we will measure this line on scale.

The value  measured will be 1.6 cm.

Thus The length of the given segment is 1.6cm.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

volume = 24,501.42

Step-by-step explanation: the way i did it:

first find the radius, 34 divided by 2 = 17π

then multiply the radius by itself 17 x 17 = 289

after, multiply 289 by 27 to get 7,803

then multiply 7803 by 3.14 to get 24,501.42

Hope this is correct!

(p.s.) if you do it on a calculator and use the pi symbol (π) the answer would be 24,513.84

hope this helps you understand !!

Answer:

x + 2

Step-by-step explanation:

Ben : x cm

Kieran: (x + 8) cm

Bianca: (x - 2) cm

Mean of their heights = \(\frac{Sum of their heights}{Number of people} = \frac{x + (x + 8) + (x - 2)}{3}\)

                                   = \(\frac{x + x + 8 + x - 2}{3}\)    (Expand the brackets)

                                   = \(\frac{x + x + x + 8 - 2}{3}\)  (Bring all the like terms together)

                      = \(\frac{3x + 6}{3}\) (Simplify the two sets of like terms)

                        = \(\frac{3(x + 2)}{3}\)  (Extract the common factor '3' in the numerator)

                      = (x + 2) cm  (\(\frac{3}{3} = 1\))

Answer:

1/20

Step-by-step explanation:

\( \frac{3}{4} \div \frac{15}{1} \\ \frac{3}{4} \times \frac{1}{15} \\ \frac{3}{60} = \frac{1}{20} \)

Answer:

1/20

Step-by-step explanation:

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ x = 23}}}}}\)

Option B is correct.

Step-by-step explanation:

\( \star{ \text{ \: \: x - 8 = 15}}\)

\( \text{Step \: 1 \: : Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \hookrightarrow{ \sf{x = 15 + 8}}\)

\( \text{Step \: 2 \: : Add \: the \: numbers \: : 15 \: and \: 8}\)

\( \hookrightarrow{ \sf{x = 23}}\)

\( \sf{ \: The \: value \: of \: x \: is \: 23.}\)

\( \sf{Hope \: I \: helped !}\)

\( \sf{Best \: regards!!}\)

~\( \sf{TheAnimeGirl}\)

Answer:

the answer is 41

Step-by-step explanation:

Maddy's class has 10 less so X-10=31

31+10=41 so 41 is your answer :)

Answer:

41

Step-by-step explanation:

we are given the number of students in Maddy's class, 31, the problem also says that Maddy's class is 10 less than Doris's class. So, to solve we make an equation with the information provided:

31+10= 41

Two square numbers that differ by 11 are 25 and 36.

Let's assume that the two square numbers that differ by 11 are x² and y², where x and y are integers.

Then, we have the equation:

y² - x² = 11

We can factor this equation as a difference of squares:

(y - x)(y + x) = 11

Since 11 is a prime number, the only possible factor pairs are (1, 11) and (-1, -11).

So we have two possible equations:

y - x = 1 and y + x = 11

or

y - x = -1 and y + x = -11

Solving the first equation, we get:

y = 6 and x = 5

So the first pair of square numbers that differ by 11 are 25 and 36.

Solving the second equation, we get:

y = -6 and x = -5

But since we're looking for square numbers, we can't have negative values. Therefore, this solution is invalid.

So the only solution is x² = 25 and y² = 36,

Therefore, two square numbers are 25 and 36

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Answer:

see below

Step-by-step explanation:

y= -3x+4

Let x = -4

y= -3(-4) +4 = 12 +4 = 16

Let x = -0

y= -3(0) +4 = 0 +4 = 4

Let x = 4

y= -3(4) +4 = -12 +4 = -8

Let x = 8

y= -3(8) +4 = -24 +4 = -20

Answer:

12 is the median

Step-by-step explanation:

as u have to cancel each number out at each side together till you reach the middle

The median of the given data in the box-and-whisker plot is 9.5. Therefore, option C is the correct answer.

A box and whisker plot is a special type of graph that is used to show groups of number data and how they are spread. It shows the median, which is the middle value of the numbers in your data, the lowest number, the highest number and the quartiles, which divides the data into four equal groups.

From the given box-and-whisker plot

Minimum is 3

Maximum is 15

Q₁ is 7

Q₃ is 13

Median is 9.5

The median of the given data in the box-and-whisker plot is 9.5. Therefore, option C is the correct answer.

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Answer:

4

Step-by-step explanation:

3.9 rounds to 4

hope this helps! :)

Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

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The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

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Only the trigonometric ratios used to calculate HJ with Alex's angle G and Marlene's with angle H were valid for both equations.

Using Alex's equation sin 28 degrees = HJ/20:

Step 1: Multiply both sides by 20 to isolate HJ:

HJ = 20 × sin 28 degrees

Step 2: Evaluate the sine of 28 degrees using a calculator:

HJ ≈ 9.48

Therefore, the length of HJ is approximately 9.48 units.

Using Marlene's equation cos 62 degrees = HJ/20:

Step 1: Multiply both sides by 20 to isolate HJ:

HJ = 20 × cos 62 degrees

Step 2: Evaluate the cosine of 62 degrees using a calculator:

HJ ≈ 9.48

Therefore, the length of HJ is approximately 9.48 units.

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The question is -

When instructed to find the length of HJ in the right triangle HJG, Alex wrote the equation sin 28 degrees = HJ/20 while Marlene wrote cos 62 degrees = HJ/20. Are both students' equations correct? Explain why.

The function y = 3 + 6x represents the data given in the table.

What is a function?

A function is a relationship between two sets of numbers, called the domain and the range. It is a rule that assigns to each element of the domain exactly one element of the range. In other words, a function is a set of ordered pairs (x, y) where each value of x is associated with a unique value of y.

The output (y) increases by 6 each time the input (x) increases by 1. Therefore, we can conclude that the relationship between x and y is a linear one with a slope of 6 and a y-intercept of 3.

The function rule that represents the data in the table is:

y = 6x + 3

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Answer:

EG = 6.

Step-by-step explanation:

As they are similar, corresponding sides are in the same ratio.

So, BC / FH = DA/EG

8/4 = 12/EG

8EG = 48

EG = 6.

It is more sensible to test the same cats in both treatments rather than using two independent samples because it allows for a better comparison and control of variables.

Control of Variables: By testing the same cats in both treatments, we ensure that the only difference between the two groups is the treatment itself. This helps to minimize the influence of confounding variables and provides a more accurate assessment of the treatment's effectiveness.

Individual Variability: Cats, like any other living beings, can vary in their response to treatments. By testing the same cats, we can account for individual variability and reduce the impact of these differences on the overall results. This approach helps to increase the reliability and validity of the study.

Comparability: Testing the same cats allows for a direct comparison within the same individuals. It enables researchers to evaluate the effects of each treatment on a specific cat, providing a more robust assessment of the relative efficacy or impact of the treatments. This method enhances the internal validity of the study by reducing the potential influence of individual differences.

Statistical Power: Using the same cats in both treatments increases the statistical power of the study. With a larger sample size, obtained by testing the same cats twice, researchers can detect smaller treatment effects, resulting in more precise and reliable conclusions.

Therefore, it makes sense to test the same cats in both treatments rather than using two independent samples because it provides better control over variables, accounts for individual variability, allows for direct comparison, and enhances the statistical power of the study.

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Answer:

664. Im pretty sure

Step-by-step explanation:

Answer:

see below. i put a square around each x,y solution.

Step-by-step explanation:

Store B sells 12591 products.

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.

Let the number of products Store A sells be x, the number of products store B sells be y, and the number of products store C be z.

Now,

Store C sells 125910 products.

z = 125910 products

Store A sells one-half as many as store C.

x = ( 1/2 )z

x = ( 1/2) × 125910

x = 62955 products

Store A sells five times as many products as store B can be expressed as the equation,

x = 5y

62955 = 5y

Dividing each side by 5,

y = 62955 / 5

y = 12591 products

Store A, B, and C sell 62955, 12591, and 125910 products.

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Answer:

I believe it is 26.955

Step-by-step explanation:

Answer:

The answer is 26.955

Step-by-step explanation:

The answer is 26.955 because 72.081 minus 45.126 is 26.955

The value of the fraction 2 2/3 + 2 1/4 is 4 11/12.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the addition of the fraction will be:

= 2 2/3 + 2 1/4

= 2 8/12 + 2 3/12

= 4 11/12

The value is 4 11/12.

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Answer:

C.

Step-by-step explanation:

The mean at Belmont is 16.75, the median is 15.5, and the mode is 13.

The mean at Tyler is 10.9, the median is 10.5, and the mode is 13, 10, and 6.

Answer:

The fraction of each used up is 1/2. All fractions of her/his pencils are equal.

Step-by-step explanation:

Ramesh had 20 pencils. After 4 months he used 10 pencils.

Therefore, Ramesh's used-up fraction is 10/20 =1/2.

Sheelu had 50 pencils. After 4 months she used 25 pencils.

Therefore, Sheelu's used-up fraction is 25/50 =1/2.

Jamaal had 80 pencils. After 4 months he used 40 pencils.

Therefore, Jamaal's used-up fraction is 40/80 =1/2.

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Answer:

light blue the second

Step-by-step explanation: