which of the following is not a linear equation in one variable?; A: 33z+5, B: 33(x+y), C: 33x+5, D: 33y+5

By means of algebra properties, the compound expression \(\sqrt[3]{x^{15}}\) is equivalent to the power expression x⁵.

In this problem we find a compound expression formed by a variable (x), a power and a root, whose equivalent power expression has to be found by using algebra properties, especially these:

Property 1 - n-th root of a power.

\(\sqrt[n]{x^{m}}\) = \((x^{m})^{\frac{1}{n} }\)

Property 2 - Power of a power.

(\(x^{m}\))ⁿ = \(x^{m\cdot n}\)

Now we proceed to simplify the compound expression into an equivalent power expression:

Step 1 - Write the given expression.

\(\sqrt[3]{x^{15}}\)

Step 2 - Use and apply the first property described above (n-th root of a power).

\((x^{15})^{1 / 3}\)

Step 3 - Use and apply the second property described above (power of a power).

x⁵

By algebra properties, the equivalent power expression for \(\sqrt[3]{x^{15}}\) is x⁵.

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Answer:

5

Step-by-step explanation:

Answer: B, µ.

Step-by-step explanation:

µ represents the population mean. Therefore, a sample mean is estimating the population mean, making it a point estimator.

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

10

Step-by-step explanation:

Lower quartile (Q₁) = 25

Upper quartile (Q₃) = 35

Interquartile range (IQR) = Q₃ - Q₁ = 35 - 25 = 10

(see attachment)

the formula for the area of a triangle is

then if we have a right triangle it would look like this

in a right triangle the base and the heigth are represented by the legs

using the leg given and the area we can find the other leg

the length of the other leg is 5 cm.

The cost to meet the minimum requirement of 85% pollution removal is $72,250.
It will cost an additional $4,250 to increase the capture to 95%.

31) The given equation represents the cost (C) to capture a percentage (p) of the exhaust. To meet the minimum requirement of 85% removal, we substitute p = 85 into the equation:
C = 85,000 * (85/100) * (100 - 85) = 85,000 * 0.85 * 15 = $72,250.
Therefore, it will cost $72,250 to meet the minimum requirements.
To find the additional cost to increase the capture to 95%, we substitute p = 95 into the equation:
C = 85,000 * (95/100) * (100 - 95) = 85,000 * 0.95 * 5 = $76,500.
To find the difference in cost, we subtract the cost of meeting the minimum requirements from the cost of capturing 95%:
Additional cost = $76,500 - $72,250 = $4,250.
Therefore, it will cost an additional $4,250 to increase the capture to 95%.
To determine if -4 is the lower bound for the polynomial function f(x) = x^3 + 3x^2 - 2x + 1, we can use synthetic division. By performing synthetic division with -4 as the test value, if the remainder is zero, -4 is a root and therefore the lower bound. If the remainder is non-zero, -4 is not a root.
Coefficients: 1, 3, -2, 1
Using synthetic division with -4:
-4 | 1 3 -2 1
| -4 4 -8
| 1 -1 2 -7
The remainder is -7, which is non-zero. Therefore, -4 is not a root and not the lower bound for the function.
Similarly, to determine if 1 is the upper bound for the polynomial function f(x) = x^3 + 3x^2 - 2x + 1, we perform synthetic division with 1 as the test value. If the remainder is zero, 1 is a root and therefore the upper bound. If the remainder is non-zero, 1 is not a root.
Using synthetic division with 1:
1 | 1 3 -2 1
| 1 4 2
| 1 4 2 3
The remainder is 3, which is non-zero. Therefore, 1 is not a root and not the upper bound for the function.

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Answer:

the time taken is 22 mins

The sum of vectors u  = <4,8>,and v = <-2, 6>  i.e. (u+v) is <2, 14>

To find the sum of vectors u and v (u+v), you need to perform the following steps:

1. Identify the components of vectors u and v: u = <4, 8> and v = <-2, 6>.

2. Add the corresponding components of both vectors: To find the sum (u+v), add the x-components (4 and -2) and the y-components (8 and 6) separately.

3. Calculate the sum of the x-components: 4 + (-2) = 2.

4. Calculate the sum of the y-components: 8 + 6 = 14.

5. Combine the results to form the new vector (u+v): <2, 14>.

So, the sum of vectors u and v (u+v) is <2, 14>.

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Answer: option 1. -3/4

Step-by-step explanation:

coefficient: the number before a variable (but must be bounded with it)

------------

-3/4 a

coefficient: -3/4 (-3/4a)

Hope this helps!! :)

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Answer:

11

Step-by-step explanation:

Answer:

8.50667 or approximately 8.51 feet per second

Step-by-step explanation:

The most approximate way to get the feet per second is to multiply the miles per hour by 1.467.

Answer:

D

Step-by-step explanation:

D. The y-coordinates of the new trapezoid is not the same as the y-coordinates of the original trapezoid.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

When a trapezoid is translated 8 units down, all of its points will move down 8 units, which means the y-coordinates of each point will decrease by 8.

Therefore, the y-coordinates of the new trapezoid will be different from the y-coordinates of the original trapezoid.

However, A, B, and C are all true statements.

The new trapezoid will have the same orientation (the same angles between its sides), the same shape (the same ratio of the lengths of its sides), and the same size (the same area).

The only difference is that the new trapezoid will be shifted down by 8 units.

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We know that ,

1 feet= 0.33 Yard

Given that .

An air conditioning circulate 1 cubic foot per minutes

So it circulates 0.33 Yards per minute .

13.32 yards per minute

Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,

Rate = volume/time. Which is

360 = volume/ 1

Volume = 360 cubic feet

Convert cubic feet to cubic yard

1 cubic foot = 0.037 cubic yards

Multiply this by 360

Cubic yards = 360 × 0.037

Cubic yards = 13.32

Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​ to 13.32 cubic yards of air which can circulate air per minute​

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Answer:

Step-by-step explanation:

To draw two congruent convex hexagons, we can follow these steps:

Draw a regular hexagon with equal sides and angles using a straight edge and a compass.

Draw another hexagon of the same size and shape as the first one, but shifted to a different location on the paper. This can be done by measuring the distances and angles between the corresponding vertices of the two hexagons.

We know that the hexagons are convex because all their interior angles measure less than 180 degrees, and the sides do not cross over each other.

We know that the hexagons are congruent because they have the same size and shape. Each side of one hexagon is equal in length to the corresponding side of the other hexagon, and each angle of one hexagon is equal in measure to the corresponding angle of the other hexagon. We can also verify their congruence by superimposing one hexagon over the other and seeing that they match up perfectly.

The sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.05 is 81,160.

It can be calculated by using the formula: `σ_p = √[p(1 - p)/n]`

Where:σ_p is the standard deviation of the sample proportion, p is the percentage of successes in the population, n is the sample size

First, we need to convert the given percentage to a decimal, which is:29% = 0.29

Next, we can substitute the values into the formula:0.05 = √[0.29(1 - 0.29)/n]

Squaring both sides, we get:0.0025 = 0.29(1 - 0.29)/n

Solving for n:

0.0025n = 0.29(1 - 0.29)

n = (0.29 × 0.71)/0.0025

n ≈ 81,160

Therefore, the sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.05 is approximately 81,160.

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Answer:

0.48

48%

Step-by-step explanation:

\( \frac{96}{200} = \frac{0.96}{2} = 0.48 \\ \\ \frac{96}{200} \times 100 = \frac{96}{2} = 48\% \)

The number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

In this question,

Positive integers are 0,1,2,3,4,5,6,7,8,9

Total number of integers = 10

This can be solved by permutation concepts.

Case 1: 4-digit positive integers with no repeated digits,

First digit, cannot be zero. So remaining 9 digits.

Second digit, can be any digit other than the first digit. So 9 digits.

Third digit, can be any digits other than first and second. So 8 digits.

Fourth digit, can be any digits other than first, second, third digit. So 7 digits.

Thus, Number of ways of 4-digit positive integers with no repeated digits ⇒ (9)(9)(8)(7)

⇒ 4536 ways.

Case 2:  4-digit positive integers, there may be repeated digits, but all digits are odd

Odd integers are 1,3,5,7,9

Number of digits = 5

In this case, we can repeat the digits. So all places can have 5 possibilities.

Thus number of ways of 4-digit positive integers with repeated digits, but all digits are odd = (5)(5)(5)(5)

⇒ 625 ways.

Hence we can conclude that the number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

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Answer:

7/3 or 2 1/3

Step-by-step explanation:

The equation which has been given is a linear equation, therefore in order to solve the equation, simply the basic mathematical operation is to be performed. The acquired value of x is not the same as the value. So, when 12=13.x+5, the value of x=21 is not true.

Given information:

The equation given in the question is: 12 = 3x + 5

The value of x=21

Perform the basic mathematical operations and find the value of a variable.

  13x + 5 =12

⇒13x = 12 -5

⇒ 13x = 7

⇒ x = 7/13

⇒ x = 0.538

The acquired value of x is not the alike as the given value.

Hence, when 12=13.x+5 the value of x=21 is not true.

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The upper bound of the prediction interval is approximately 41.1.

The upper bound of a prediction interval in a linear regression model can be calculated by adding the product of the critical value (\(\frac{t\alpha }{2}\)) and the standard error (SE) to the fitted value (y). The critical value represents the desired level of confidence, such as 95%, and the standard error quantifies the variability of the model. By combining these components, the upper bound of the prediction interval provides a range within which a new observation is likely to fall, accounting for the uncertainty associated with the regression model.

To find the upper bound of the prediction interval, we can use the formula:

\(Upper Bound = y +(\frac{t\alpha }{2})* SE\)

where y is the fitted value at x = 6, t\(\alpha\)/2 is the critical value for a 95% confidence level (with degrees of freedom n - 2), and SE is the standard error.

Given information:

SSE = 552

n = 21

sx = 27.45

\(\bar x\) = 9

y = 29.82

To calculate the standard error (SE) using the formula:

\(SE = \sqrt\frac{SSE}{ (n - 2)}\)

\(SE = \sqrt\frac{552}{(21 - 2)}\)

\(SE = \sqrt\frac{552}{ 19}\)

SE ≈ 5.39

To find the critical value t\(\alpha\)/2 for a 95% confidence level with degrees of freedom (n - 2). Since n = 21, degrees of freedom = 21 - 2 = 19.

Using statistical tables or a calculator, the tα/2 value for a 95% confidence level with 19 degrees of freedom is approximately 2.093.

Now, we can calculate the upper bound of the prediction interval:

\(Upper Bound = y + \frac{t\alpha }{2} * SE\)

Upper Bound = 29.82 + (2.093 *5.39)

Calculating:

Upper Bound ≈ 29.82 + 11.28

Upper Bound ≈ 41.1

Therefore, the upper bound of the prediction interval, rounded to two decimal places, is approximately 41.1

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The expression that is an element of AxBxB is (1,2,3)

The given data is A= (a, b}, B = {1,2,3}

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined.

\(& \ A \times B=\left\{\begin{array}{c}(a, 1),(a, 2),(a, 3),(b, 1) \\(b, 2),(b, 3)\end{array}\right. \\\)

\(& A \times B \times B=\left\{\begin{array}{l}(a, 1,1),(a, 1,2),(a, 1,3), \\(a, 2,1),(a, 2,2),(a, 2,3),\end{array}\right. \\& (a, 3,1),(a, 3,2),(a, 3,3) \\ & (b, 1,1),(b, 1,2),(b, 1,3) \\& \left.\begin{array}{l}(b, 2,1),(b, 2,2),(b, 2,3) \\(b, 3,1),(b, 2),(b, 3,3)\end{array}\right\} \\\)

\(& \therefore(b, 2,3) \in D \times B \times B \\\\& (a, a, 1) \notin A \times B \times B \\\\& \left(b, 2^2\right) \quad \forall A \times B \times B \\\\& (2,1,1) \notin A \times B \times B \\\\&=(b, 2,3) \in \cap \times B \times B \\&\end{aligned}\)

The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y.

The intersection of sets can be denoted using the symbol ‘∩’. As defined above, the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

Therefore, the expression that is an element of AxBxB is (1,2,3).

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\((5)(5)+(3)(0)=\boxed{25}\)

y = 4/5x + 2 written in standard form is expressed as: - 4/5x + y = 2.

The equation of a line can be rewritten or expressed as Ax + By = C in standard form, where:

A, B, and C are integers.

So, if we are given the equation of a line that is expressed in maybe slope-intercept form as y = mx + b, we can rewrite the equation to express it in standard form as Ax + By = C.

Given the equation in slope-intercept form as, y = 4/5x + 2, rewrite in standard form as shown below:

y = 4/5x + 2

- 4/5x + y = 2

This means that the standard form of the equation, y = 4/5x + 2 is expressed as: - 4/5x + y = 2.

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Question:

What is y = 4/5x + 2 written in standard form?

Answer:

0 obtuse angles

Step-by-step explanation:

A right triangle cannot have any obtuse angles. They can only have 2 acute angles and 1 right angle

The future value of an investment with monthly compounding, we can use the formula for compound interest:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)

Given:

Principal (P) = $900

Interest Rate (r) = 3.6% = 0.036 (expressed as a decimal)

Number of Compounding Periods per year (n) = 12 (monthly compounding)

Number of Years (t) = 10

Plugging in the values into the formula, we have:

Future Value = $900 * (1 + (0.036 / 12))^(12 * 10)

Future Value = $900 * (1 + 0.003)^120

Calculating this expression, we find:

Future Value ≈ $900 * 1.43239216924

Future Value ≈ $1,289.15

Therefore, after 10 years with monthly compounding at an interest rate of 3.6%, the $900 investment will grow to approximately $1,289.15.

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Answer:

Images below.

Step-by-step explanation:

I hope this helps.

Answer:

I think its b

Step-by-step explanation:

The graph that represents the system of equations - (x² + y²) = 4; X-Y= 1 is attached as follows.

Note, we must Graph the line using a y-intercept -1 and slope 1.

Also, we have to Graph the equation with vertex (0,0) and radius 2.

In algebra, a system of equations is made up of two or more equations that seek common solutions.

"A linear equation system is a collection of equations that are all satisfied by the same set of variable values."

So the graph that represents the equation given above can be described as follows:

the first equation depicts a circle with a radius of 2 and a center at the origin.

The second equation is a line that connects (1,0) and (0,-1). The graph depicts the point where these two forms meet.

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