(-12x^8 – 2v) - 11x^8

For the given real number, the correct answer is b. Assumed: 0 < x or x < 3, Proven: \(15 - 8x + x^2 > 0.\)

What is real number?

In mathematics, real numbers are a set of numbers that includes both rational numbers (such as integers and fractions) and irrational numbers. Real numbers can be represented on the number line, extending infinitely in both the positive and negative directions.

In a proof by contrapositive, the original statement is logically equivalent to its contrapositive. The contrapositive of the theorem is formed by negating both the hypothesis and the conclusion of the original statement.

The original statement is:

"For any real number x, if 0 < x < 3, then \(15 - 8x + x^2 > 0.\)"

The contrapositive of the theorem is:

"For any real number x, if 15 - 8x + x^2 ≤ 0, then x ≤ 0 or x ≥ 3."

Now, let's examine the facts assumed and proven in each of the given options:

a. Assumed: \(15 - 8x + x^2 < 0\)

Proven: 0 < x and x > 3

This does not match the contrapositive. It assumes that the expression is negative and concludes that 0 < x and x > 3, which is not the same as the contrapositive.

b. Assumed: 0 < x or x < 3

Proven: \(15 - 8x + x^2 > 0\)

This matches the contrapositive. It assumes either 0 < x or x < 3 and concludes that the expression \(15 - 8x + x^2\) is greater than 0.

Therefore, the correct answer is b. Assumed: 0 < x or x < 3, Proven: \(15 - 8x + x^2 > 0.\)

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Answer:

2nd choice

Step-by-step explanation:

Dilation is enlarging or shrinking using

a specific scale factor.

Dilation changes the position and

size shape.

Tutors

top and bottom choices look like they are different shapes

The graph that shows a dilation is the second image because both the figure and the image have the same shape.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Since, We know that;

Dilation is the increase or decrease in the size of a figure by a factor k.

And, The dilated figure has the same shape as the original figure.

Thus, The graph that shows a dilation is the second image because both the figure and the image have the same shape.

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Bonang's monthly installment is R7 492,35 (rounded to the nearest cent).

In order to calculate the annual rate of depreciation using the reducing-balance method, we need to know the initial cost of the asset and the estimated salvage value.

However, we can calculate Bonang's monthly installment as follows:

Given that Bonang is granted a home loan of R650 000 to be repaid over a period of 15 years and the bank charges interest at 11,5% per annum compounded monthly.

In order to calculate Bonang's monthly installment,

we can use the formula for the present value of an annuity due, which is:

PMT = PV x (i / (1 - (1 + i)-n)) where:

PMT is the monthly installment

PV is the present value

i is the interest rate

n is the number of payments

If we assume that Bonang will repay the loan over 180 months (i.e. 15 years x 12 months),

then we can calculate the present value of the loan as follows:

PV = R650 000 = R650 000 x (1 + 0,115 / 12)-180 = R650 000 x 0,069380= R45 082,03

Therefore, the monthly installment that Bonang has to pay is:

PMT = R45 082,03 x (0,115 / 12) / (1 - (1 + 0,115 / 12)-180)= R7 492,35 (rounded to the nearest cent)

Therefore, Bonang's monthly installment is R7 492,35 (rounded to the nearest cent).

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Answer:

D is the answer most  likely your answer

Step-by-step explanation:

3.14x81x6=1526.04 which rounding would be 1526cm^3

The two integers are x and x +2

and, the smallest integer are 121

The sum of two consecutive odd integers is 244.

Now, According to the question

Let the first odd consecutive integers is x

and, the second odd consecutive integers is x+2

Sum of two consecutive odd integers is 244

So, x + x+ 2 = 244

2x + 2 = 244

2x = 244 - 2

2x = 242

x = 242/2

x = 121

So, the answer will be 2x + 2 = 244

and, the smallest integer is 121

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Answer:

A twin prime is a prime number that is either 2 less or 2 more than another prime number

Answer:

Option B is correct

Answer:

B there is enough raspberries to make 4 pie they can 6 pies if they 2 more of raspberries

Answer:

Looks like true to me

Step-by-step explanation:

y = x +6

Lurking variables, such as experience with exercise or past practice of meditation, should be approximately equal for the two groups if random assignment is used. Option D

Randomization ensures that the groups being compared are comparable in terms of any potential confounding factors or hidden variables that can affect the study's conclusion. The researchers can evenly divide these characteristics throughout the groups by randomly allocating people to the programs, which lessens the possibility of skewed outcomes.

As a result, it is possible to compare the benefits of exercise and meditation on stress reduction with more accuracy because any differences between the groups may be more reliably assigned to the intervention itself rather than to unrelated factors.

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Answer:

The answer would be 10 cups

Step-by-step explanation:

Answer:

brown

Step-by-step explanation:

brown

brown

Answer:

I need a picture in order to do this haha

Answer:

The unit  in a volume are always cubic meter

Step-by-step explanation:

Chain of Thought Reasoning: Volume is a three dimensional space, which is measured in three dimensions (length, width, and depth). The SI unit for length is meters, so the SI unit for volume is cubic meters (m^3).                        I hope this helps you

Answer:

The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx )

Answer:

The constant is nothing cause there is no question.

Step-by-step explanation:

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

a random group of 40 people on the street.

Step-by-step explanation:

It's random people and also has the most people.

Answer:

C:a random group of 40 people on the street.

Step-by-step explanation:

cuz its random and unbiast

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

The volume is increasing at a rate of 784 * pi cubic inches per second.

The volume of a sphere is given by the formula V = (4/3) * pi * r^3, where r is the radius of the sphere.

We can find the rate of change of the volume with respect to time by taking the derivative of V with respect to time.

dV/dt = (4/3) * pi * 3r^2 * dr/dt

Given that the radius is increasing at a rate of 2 in/sec, we can substitute this value into the equation and find the rate at which the volume is increasing:

dV/dt = (4/3) * pi * 3 * 9^2 * 2 in^3/sec = 784 * pi in^3/sec

So, when the radius of the snowball is 9 inches, the volume is increasing at a rate of 784 * pi cubic inches per second.

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Answer:

Step-by-step explanation:

You want 17 written as a power of 2, and the value of the expression ...

  3log₂(4) -2log₂(3) +log₂(18)

Remembering that a logarithm is an exponent, the exponent of 2 that gives a value of 17 will be the log of 17 to the base 2. The change of base formula is useful here.

  \(\log_2(17)=\dfrac{\log(17)}{\log(2)}\approx\dfrac{1.23044892}{0.301029996}\approx4.0874628\\\\\\\boxed{17=2^{4.0874628}}\)

The rules of logarithms tell you ...

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

Combining the logs into a single logarithm, we have ...

  3log₂(4) -2log₂(3) +log₂(18) = log₂(4³) -log₂(3²) +log₂(18)

  = log₂(4³·18/3²) = log₂(64·18/9) = log₂(128) = log₂(2⁷)

  = 7

The value of the log expression is 7.

__

Additional comment

A calculator can help you evaluate log expressions.

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The statement that is not true of the test data approach in a test of a computerized accounting system is B) Test data should consist of data related to all controls prevalent in the organization.

This statement is incorrect because the test data approach aims to test specific controls that the auditor wishes to rely on rather than all controls prevalent in the organization. The test data approach involves the creation of a set of test transactions that are processed by the client's computer program under the auditor's control.

The results of the test data are used to determine whether the application and general controls are functioning properly. By using this approach, the auditor can gain assurance that the system is functioning as intended and identify any control weaknesses that need to be addressed.

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Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: \(Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

\(Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15\)

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

Answer:

To find a formula for the nth term of the given sequence, we can analyze the pattern and identify the relationship between the terms.

If we observe the numerator of each term, we can see that it follows the pattern 7, 10, 13, 16, 19, ... This is an arithmetic sequence with a common difference of 3.

If we examine the denominator of each term, we can see that it follows the pattern 1, 2, 6, 24, 120, ... This is not a common arithmetic sequence, but it can be described as a factorial sequence.

The nth term of a factorial sequence can be represented as n!, where n! denotes the factorial of n.

Combining these patterns, we can express the nth term of the given sequence as:

an = (3n + 4)/(n!)

Therefore, the formula for the nth term of the sequence is (3n + 4)/(n!).

Step-by-step explanation:

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The total derivative of a function is not necessarily one-to-one. The total derivative represents the change in a function with respect to all of its input variables.

If a function has multiple input variables, the total derivative is a matrix, called the Jacobian matrix, whose entries represent the partial derivatives of the function with respect to each input variable.

A function with a non-invertible Jacobian matrix is not one-to-one, since multiple input values can result in the same output value. For example, consider the function f(x,y) = (x^2, y^2). The total derivative of f is given by the Jacobian matrix:

| 2x 0 |

| 0 2y|

This matrix is non-invertible when x=0 or y=0, since it has a determinant of zero. Thus, the function f is not one-to-one when x=0 or y=0.

In terms of polynomials, the total derivative is important for determining whether a polynomial has multiple roots. A root of a polynomial is a value of the input variable that causes the polynomial to equal zero. If a polynomial has multiple roots, it is not one-to-one, since different input values can result in the same output value.

The total derivative of a polynomial can be computed using the power rule of differentiation. For example, consider the polynomial p(x) = x^3 - 6x^2 + 11x - 6. The total derivative of p with respect to x is:

p'(x) = 3x^2 - 12x + 11

If p'(x) has multiple roots, then p(x) has multiple roots as well. In this case, p'(x) has roots at x=1 and x=11/3, so p(x) has multiple roots at x=1 and x=3. Thus, the total derivative is useful for identifying when a polynomial is not one-to-one.

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Is total derivative  is one-to-one? explain the significance of this result in terms of the derivative on polynomials.

Triangular prism is an example of a solid from which a triangular, hexagonal, and trapezoidal cross-section can be formed.

A triangular prism is a polyhedron that is made up of triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges to the vertex.

Some properties of a triangular prism:

Thus, triangular prism is an example of a solid from which a triangular, hexagonal, and trapezoidal cross-section can be formed.

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