3) (p3) consider the proof for the following theorem: there is no smallest integer.assume that there exists a smallest integer, r. since r is an integer, it can be negative. since there is no smallest negative integer and r can be negative, this contradicts the assumption that there is no smallest integer. what is the mistake in this proof?

Answer: The 9th term is 41990400

Step-by-step explanation:

As we can see here 25, 150, 900 to find the common ratio i'll divide 150 by 25 which gives me 6

to 25 times 6 is 150

150 times 6 is 900

T=Term

1t=25 2t=150 3t=900 4t=5400 5t=32400 6t=194400 7t=1166400 8t=6998400 9t= 41990400

900*6= 5400

5400*6=32400

32400*6= 194400

194400*6= 1166400

1166400*6= 6998400

6998400*6=41990400

The angle vector 'a' makes with the positive x-axis is 90° to 180°.

A vector is a quantity that has magnitude as well as direction one such example of this is velocity where we describe speed and direction also.

Given a vector a with two components one in the x direction and another one in the y direction.

The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.

∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the second quadrant.

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$248

Explanations:

Let the money borrowed be the Principal, P = $200

Interest rate, R = 2%

Number of years, T = 12 years

The total amount to pay back will be:

Amount = Principal + Interest

Let us calculate the Interest, using the formula:

Interest = $48

Amount = Principal + Interest

Amount = $200 + $48

Amount = $248

You will pay back $248 altogether

Answer:

-87

Step-by-step explanation:

-4x^2 + 3x - 11

-4(-4)^2 + 3(-4) - 11

-4 * 16 + 3(-4) - 11

-4 * 16 - 12 - 11

-64 - 12 - 11

-76 - 11

-87

Hope this helps! :)

answer: associative property

Step-by-step explanation:

The answer is b(x)=f(x)-7, which is option B.

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The parent linear function is given below.

f(x) = x

The function is shifted downward direction by 7 units. Then the function b(x) will be given as,

b(x) = f(x) - 7

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

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Answer:

Any quotient of polynomials a(x)/b(x) can be written as q(x)+r(x)/b(x), where the degree of r(x) is less than the degree of b(x). For example, (x²-3x+5)/(x-1) can be written as x-2+3/(x-1).

The number of mathematics assignments are 69.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Given : Brianna has 113 assignments in history, science and art.

Let x be the number of assignments that are in math section. There are 182 assignments in total.

The equation to represent this is

113 + x = 182

x = 182 - 113 = 69.

So the number of math assignments are 69.

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Answer: CAELYNN YOU WWELCOME

Step-by-step explanation:

7 +7+7+7+7+7

The value of the equation d = 4n - 2 for n is (d + 2) ÷ 4.

Given data, d = 4n - 2

For finding the value of n first add 2 to both the side,

d + 2 = 4n - 2 + 2

d + 2 = 4n

Now, divide 4 into both sides of the equation:

(d + 2) ÷ 4 = 4n ÷ 4

(d + 2) ÷ 4 = n

∴ The value of n after solving the equation d = 4n - 2 is (d + 2) ÷ 4.

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Answer:

it is C

Step-by-step explanation:

it cannot be A or B because ether angles 2 or 3 would have to be an obtuse angle, which neither of them is. So, this leaves C and D. It is not D because angles 2 and 3 are not corresponding (angles 2 and 4 are). This leaves option C as the only answer.

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Check the picture below.

Based on the given number which is 0.59136363636363636, we can infer that this is a rational number because it is repeating.

A rational number is a number that when the denominator divides the numerator, the result is a decimal that is either terminating, or repeating. This means that the decimal will either stop at some point, or will keep repeating the same numbers.

The number, 0. 59136363636363636, is a rational number because it is a repeating decimal.

The part that is repeating is "63636" so this is a rational number.

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The given recurring decimal 0.59136363636 is a rational number.

Given that,
To determine whether the given recurring decimal value is rational or irrational.

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

Here,
The given recurring decimal = 0.591363636
From the above definition,
A rational number is a number that does have a repeating value after a certain value beyond the decimal point, unlike an irrational number that has repetition just after the decimal point.
So, the given number 0.59136363636 = 0.591 + 0.000363636
It is a rational number because it has repetition after 591 of 36 frequently.

Thus, the given recurring decimal 0.59136363636 is a rational number.

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By reflection triangle JAR across x- axis, we get

By comparing the given options, we can see that the answer is option D

Expressing [tex]\frac{x-1}{2x+1}[/tex]  in terms of a gives [tex]\frac{5-a}{7a+4}[/tex]

Given that:

[tex]x=\frac{2a+3}{3a-2}[/tex]

[tex]\frac{x-1}{2x+1}[/tex]

The Knowledge required here is substitution, the value of x is given. Substitute [tex]x=\frac{2a+3}{3a-2}[/tex] in any place x is seen in the numerator and the denominator.

The numerator

x - 1

substituting the value of x

[tex]\frac{2a+3}{3a-2}-1[/tex]

[tex]\frac{(2a+3)-(3a-2)}{3a-2}[/tex]

[tex]\frac{2a+3-3a+2}{3a-2}[/tex]

[tex]\frac{5-a}{3a-2}[/tex]

The denominator

2x + 1

substituting the value of x

[tex]2*\frac{2a+3}{3a-2} +1[/tex]

[tex]\frac{4a+6}{3a-2} +1[/tex]

[tex]\frac{(4a+6)+(3a-2)}{3a-2}[/tex]

[tex]\frac{7a+4}{3a-2}[/tex]

combining the fraction

Here the numerator and the denominator is brought together and division of fraction is used to solve

[tex]\frac{\frac{5-a}{3a-2}}{\frac{7a+4}{3a-2}}[/tex]

[tex]\frac{5-a}{3a-2}}*\frac{3a-2}{7a+4}[/tex]

[tex]\frac{5-a}{7a+4}[/tex]

Using substitution as required, then expressing the equation in terms of a gives [tex]\frac{5-a}{7a+4}[/tex]

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Answer:

[tex]x \leq -1[/tex]

Step-by-step explanation:

divide both sides by -4

-2 >= x - 1

(FLIP THE INEQUALITY!!!)

now add 1 to both sides

-1 >= x

flip the equation

x <= -1

that is your answer

Step-by-step explanation:

so when we have 25> w -7 we must move the

-7 to the 25 for the w to stand on it own so

25+7 > w

32 > w

We have to solve this expression:

Answer:

first one.

Step-by-step explanation:

the slope of the line is the rise over run, in triangle STU this is 3 over 2

in triangle FED this is 6 over 4, which simplifies to 3 over 2

proving that the slope of the line is constant.

Answer:

I believe you typed that wrong.

The third term should be -15X

And the 3 answers are 3 -6 -1

Step-by-step explanation:

Answer: x=-1   x=-6   x=3

Step-by-step explanation:

[tex]f(x)=x^3+4x^2-15x-18[/tex]

Let's isolate the multiplier (x+1) from the expression  x³+4x²-15x-18  :

[tex]x^3+4x^2-15x-18=\\\\x^3+x^2+3x^2-15x-18=\\\\x^2(x+1)+3(x^2-5x-6)=\\\\x^2(x+1)+3(x^2+x-6x-6)=\\\\x^2(x+1)+3(x(x+1)-6(x+1))=\\\\x^2(x+1)+3(x+1)(x-6)=\\\\(x+1)(x^2+3(x-6))=\\\\(x+1)(x^2+3x-18)[/tex]

Decompose the polynomial х²+3х-18 into factors:

[tex]x^2+3x-18=\\\\x^2+6x-3x-18=\\\\x(x+6)-3(x+6)=\\\\(x+6)(x-3)[/tex]

[tex]Thus,\\\\x^3+4x^2-15x-18=(x+1)(x+6)(x-3)\\\\[/tex]

[tex](x+1)(x+6)(x-3)=0\\\\x+1=0\\x+1-1=0-1\\x=-1\\\\x+6=0\\x+6-6=0-6\\x=-6\\\\x-3=0\\x-3+3=0+3\\x=3[/tex]

Answer:

Jodi's total pay for the week is $ 982.40

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

Answer:

136 divided by 12 you get 11.3 times 12 you get 136

Answer:

(136÷12) × 12 = 136

Step-by-step explanation:

You start with the numbers in the parentheses ( which look like "( )" ), which is 136÷12 which is 11.3

1.) 136÷12=11.33

Then you multiply it by 12 which will get you 136.

2.) 11.33× 12=136

Your final answer will be 136

Let's determine the statement which is not a characteristic of the linear parent function.

The linear parent function has the form:

We have the graph below:

The function has the following properties:

• The line goes through the origin.

• It has a range of all real numbers

• It has a domain of all real numbers

• It has a slope of 1.#

Therefore, the statement which is not a characteristic of the linear parent function is:

• The range is positive real numbers (y > 0).

ANSWER:

• A. The range is positive real numbers (y> 0)

Values of x in ascending orders is shown below.

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2³) signifies 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1. Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire statement 34 has power.

Given Data

Expanding the exponents,

[tex]\sqrt{4+x}[/tex]

[tex]4^{1/2}[/tex] + [tex]x^{1/2}[/tex]

2) [tex]\frac{1}{2+x}[/tex]

2⁻¹ + x⁻¹

3) (3-2x)⁻²

(9)⁻¹ - 4x⁻²

4) (8 - 3x)¹⁾³

2 - [tex]3x^{1/3}[/tex]

In Ascending order,

(3-2x)⁻², [tex]\frac{1}{2+x}[/tex] , ([tex]8-3x^{1/3}[/tex]) , [tex]\sqrt{4+x}[/tex]

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I will the law of exponents:

[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]

⇒[tex]=m^{9+(-3)} \\=m^{9-3}\\ =m^{6}[/tex]

Option D is the answer

Suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

The function is an expression the show the relationship between one variable and another variable. If one variable is dependent variable another variable will be independent variable.  We can also says that the function shows the relationship between set of inputs and set  of out puts

The function f(x) = 3x+10

g(x) = 17x+4

We have to find the value of (f+g)(x)

We know,

(f+g)(x) = f(x) + g(x)

Substitute the values in the equation

(f+g)(x) = 3x+10 + 17x+4

Add the like terms

(f+g)(x)  = 20x+14

Hence, suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

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The probability that maximum speed differs from the mean value by at most 2.5 standard deviations is 0.8473

Let the required probability that the maximum speed of mopeds differs from the mean speed by 2.5 standard deviations be given by P(U±2.5).

Mean speed U =46.7km/hr

P(46.7±2.5) = (44.2<= X <=49.2)

= P( 44.2<= Z <= 49.2)

= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)

= P( - 1.4286 <= Z <= 1.4285)

= P(1.4285) - P(-1.4285)

= P(1.43 ) - P(-1.43)

= 0.92364 - 0.07636

= 0.8473

Thus the probability that maximum speed differs from mean value by at most 2.5 standard deviations is 0.8473

the question is incomplete and the full question is "Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with a mean value of 46.7 km/h and a standard deviation of 1.75 km/h. Consider randomly selecting a single such moped

What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question"

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Answer:

4x y

Step-by-step explanation:

The volume of remaining solid is 7 in³.

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

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