whose experiment correctly represents the relationship shown at the table

Answer:

-8

Step-by-step explanation:

●Answer attached●

☆Hope it helps☆

Answer:

its option one

Step-by-step explanation:

Answer:

4x - 4

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variable as well as the same amount of variables:

6x - 2x + 2 - 1 - 4 - 3 + 2

(6x - 2x) = 4x

(2 - 1 - 4 - 3 + 2) = (2 + 2) + (-1 - 4 - 3) = (4) + (-8) = -4

4x - 4 is your answer.

~

The simplified form of the expression is 4x - 4.

Here, we have,

To simplify the expression 6x + 2 - 1 - 4 - 3 - 2x + 2, we can combine like terms and perform the necessary calculations.

Step 1: Combine the like terms with the same variable, which are the terms with x:

6x - 2x = 4x.

Step 2: Combine the constant terms:

2 - 1 - 4 - 3 + 2 = -4.

Putting it all together, we have:

6x + 2 - 1 - 4 - 3 - 2x + 2 = 4x - 4.

Therefore, the simplified form of the expression is 4x - 4.

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Answer:

6/10 or 0.6

Step-by-step explanation:

Answer:

0.6 or 60%

Step-by-step explanation:

2(6k+2)=64

12k+4=64

12k=60

k=5

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

Answer:

$20.52

Step-by-step explanation:

19 × 8% = 1.52

1.52 + 19 = $20.52

Answer:

tan C is 90

tan B is 60

tan A is 60

The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Thus, there are 70 snowboarders and 98 skiers at the Speedy Fast Ski Resort.

A ratio is a comparison between two things. In terms of how many times one number is more or less than the other, it describes the connection between two numbers. Usually, ratios are expressed as "a:b" or "a/b," where "a" and "b" are the two numbers being contrasted. The ratio of red to blue marbles, for instance, can be expressed as 4:6 or 4/6 if you have 4 red and 6 blue marbles. By dividing both integers by their greatest common factor, this can be expressed as 2:3 or 2/3. (in this case, 2). Many applications of ratios include financial research, recipe development, and sports statistics.

given

Let's use "x" to symbolise the proportion of skiers to snowboarders that is frequent.

As stated in the problem description, the ratio of skiers to snowboarders is 7:5, which may be expressed as follows:

7x : 5x

Also, we are aware that there are 28 more skiers than snowboarders, which is equivalent to:

7x = 5x + 28

After finding x, we obtain:

2x = 28

x = 14

We can calculate the number of skiers and snowboarders at the resort now that we know x:

7 times 7 times 14 times equals 98 skiers.

Snowboarders: 5x = 5(14) = 70

Thus, there are 70 snowboarders and 98 skiers at the Speedy Fast Ski Resort.

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Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

\(t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)\)    [Time = distance / speed]

From (i) and (ii), we get

\(\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240\)

Hence, the speed of the plane = 240 mph.

Outliers are data points that are significantly different from the rest of the sample, typically more than three standard deviations away from the mean.

To determine whether a sample measurement is an outlier, we need to compare it to the mean and standard deviation of the sample data set. If the sample measurement is more than three standard deviations away from the mean, it is considered an outlier. If it is within three standard deviations of the mean, it is not considered an outlier. In this example, sample measurements a and c are outliers because they are more than three standard deviations away from the mean. Sample measurements b and d are not outliers because they are within three standard deviations of the mean.

the complete question is :

a sample data set has a mean of and a standard deviation of . determine whether each of the following sample measurements are outliers. a. b. c. d.

a. Yes, this is an outlier because it is more than 3 standard deviations above the mean.

b. No, this is not an outlier because it is within 3 standard deviations of the mean.

c. Yes, this is an outlier because it is more than 3 standard deviations below the mean.

d. No, this is not an outlier because it is within 3 standard deviations of the mean.

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Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:60 pages

Step-by-step explanation:

first take away the zero then devide by 2 then add the zero the the number that your left with.

Answer:

-241

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

Answer:- 18 + 9x

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:  The Answer Is NOT Letter B

A. P′ (−2, −1)

Step-by-step explanation:

try this answer

Because I put letter B and got it wrong. I mean it makes since when you look at the graph.

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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A time zone means an area which observes a uniform standard time for either legal, commercial or/and social purposes.

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The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

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Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

Greatest Common Factor:

The greatest common factor, or GCF, is the greatest factor that divides two numbers.

Given Numbers : 42 & 30

Factors of 42 : 7x3x2x1, 7x6x1,

Factors of 30=5x3x2x1, 5x6,1

Here the common factors of 42 & 30 are : 6,3, 2, 1

The greatest number in 6, 3, 2, 1 is 6

So, the greatest common factor is 6

The greatest common factor of 42 & 30 is 6

Answer: B) 6

Answer:

7, -2

Step-by-step explanation:

we call the first number "X" and the second one "Y"

X is 9 more than Y! which means we need to add 9 to Y so it'll be equal to X. so: Y+9=X

also 2×(X+Y)=10

you can also write this down as: 2X+2Y=10

now we have:

X=Y+9

2X+2Y=10

you can now put what equals to X in the second Equation:

2(Y+9)+2Y=10 => 2Y+18+2Y=10 => 4Y=10-18 =>Y= -2

the only thing left to do is to put Y= -2 in the first equation:

X= -2+9 => X=7

An algebraic equation is an equation with unknown variables which can be represented using any number of the alphabet.

The two numbers are  7 and -2

Let's represent the unknown numbers which are the unknown variables with the letters

Let the first number = m

The second number = n

A number is 9 more than another number. This statement is represented by the algebraic equation:

m = 9 + n .......... Equation 1

Twice the sum of the two numbers is 10. This statement is represented by the algebraic equation:

2 (m + n) = 10

2m + 2n = 10...................Equation 2

We substitute 9 + n for "m" in Equation 2

2(9 + n) + 2n = 10

18 + 2n + 2n = 10

Subtract 18 from both sides

18 - 18  + 2n + 2n = 10 - 18

4n = -8

Divide both sides by 4

4n/4 = -8/4

n = -2

We solve for m using Equation 1

m = 9 + n

m = 9 + (-2)

m = 9 - 2

m = 7

Therefore, the two numbers are  7 and -2

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Answer:

the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70

Hope this helps

The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

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Answer:

Step-by-step explanation:the answer is 12x

Answer:

7/2

Step-by-step explanation:

7/2= 3.5 so it is terminating

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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Value of variable x in the proportion is 6.

A fraction is used to express a portion of a whole or a ratio of two values. It is a mathematical statement known as a fraction bar or vinculum that has a numerator and a denominator separated by a horizontal line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of parts that are being taken into account.

Given proportion;

10/10+x=35/56

Cross multiplying the proportion, we get

10×56=35×(10+x)

Multiplying the values on both side, we get

560=350+35x

Taking 350 on left hand side,

560-350=35x

35x=210

Dividing the equation by 35, we get

x=210/35

x=6

Hence, value of x in the proportion is 6.

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Answer:

(a) The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.

(b) The test statistic is -2.2361.

(c) The p-value of the test is 0.026.

(d) α = 0.05.

Step-by-step explanation:

In this case a hypothesis test is to be performed to determine whether the mean difference in the husband's versus the wife's satisfaction level is negative.

(a)

The data provided is paired data.

So a paired t-test would be used.

The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.

The hypothesis can be defined as follows:

\(\text{H}_{0}:\ \mu_{d}=0\\\\\text{H}_{a}:\ \mu_{d}<0\)

(b)

Compute the test statistic as follows:

\(t=\frac {\bar d-\mu_{d}}{\sigma_{d}/\sqrt{n}}\)

  \(=\frac{-0.50-0}{0.7071/\sqrt{10}}\\\\=-2.2360894\\\\\approx -2.2361\)

The test statistic is -2.2361.

(c)

Compute the p-value as follows:

\(p-value=P(t_{n-1}<t)\\\\=P(t_{9}<-2.2361)\\\\=0.026\)

The p-value of the test is 0.026.

(d)

It is provided that the significance level of the test is, α = 0.05.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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