Given a set of seven distinct positive integers, prove that there is a pair whose sum or whose difference is a multiple of 10. you may use the fact that if the one digit is a 0 it is divisible by 10. hint: create six categories of integers based on their ones digit. I cant figure out the six categories.

Answer:

There are 98 blue tiles.

Step-by-step explanation:

-this question is solved by proportions, using a rule of three

-For every 18 red tiles used, 7 blue tiles are used, hence, adding 18 and 7 gives you the total tiles, 7 are blue. How many blue tiles are there out of 425?

The rule of three is:

7 blue- 25 total

x blue- 350 total

Applying cross multiplication:

[tex]25x= 7(350)[/tex]

[tex]x=\frac{7(350)}{25}[/tex]

[tex]x= 98[/tex]

The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.

The function is f(x)= e^x + 1/3x

To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.

Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.

Which is equal to f(11) = e^11 + 11/3

f(11) = 59874.141715198 + 3.6666666667

f(11) = 59877.808381865

f(11) ≈ 59877.808

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There is no solution to the problem because both a and b have values.[tex]a = 10 , b\neq -8[/tex] .

The definition of an equilibrium in algebra is a statistical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A.[tex]a = 10 , b\neq -8[/tex]

B.[tex]a= 10 , b= -8[/tex]

Consider the equation

[tex]2(5x-4)= ax + b.[/tex]

A. When the coefficient at x are the same but the unbound coefficients are different, the equation has no solutions.

First, use distributive property:

[tex]2(5x-4)= 10x - 8[/tex]   (by solving )

So, the equation is

[tex]10x - 8 = ax + b.[/tex]

This equation has no solutions when

[tex]a = 10 , b\neq -8[/tex]

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.

So, the equation

[tex]10x - 8 = ax + b[/tex]

has infinitely many solutions when

[tex]a= 10 , b= -8[/tex]

In some situations, the formula has a singular solution.

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A possible equation that relates distance from home (d) and the amount of time (t) is d = tx, which can be expressed as 90= 3x.

An equation relates variables using the equality symbol (=) as well as other symbols such as addition or subtraction. Due to this follow these steps:

Based on this a possible equation is:  d = tx

The missing value can be found by solving the equation 90= 3x.

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Answer:

To calculate the total amount Tyler will have paid to the bank, you can use the formula for simple interest:

I = Prt

Where:

I = Interest (the amount Tyler will pay to the bank)

P = Principal (the original amount borrowed)

r = Interest rate (expressed as a decimal)

t = Time (in years)

Plugging in the given values, we have:

I = 42,000 * 0.05 * 15

I = 42,000 * 0.75

I = 31,500

So, Tyler will have paid a total of $31,500 in interest to the bank once he paid the loan back in full after 15 years.

Answer:

Step-by-step explanation:

we’ll I don’t know if this is right but I will try my best first I divide what ever I have then divide or multiply it by the next number

On solving the provided question we can say that equation of new line is y + 2 = -1/3(4x + 2)

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

lines,

y - 1 = -3(x-2)

3y = x- 9

here slope, m is -3

equation of new line is

y + 2 = -1/3(4x + 2)

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Relation 1: Function

No input in the domain is used more than once.

Relation 2: NOT a function

Input of 2 is used more than once, so it has two outputs for that one input.

Relation 3: Function

No x-value is repeated.

Relation 4: Function

No x-value is repeated.

The potential roots of f(x) = 3x³ - 13x² - 3x + 45 are given as follows:

A. +1/3

B. +5

C. +5/3

D. +9

E. +1

F. +15

G. +3

To obtain the possible rational zeros of the function, we use the Rational Zero Theroem.

The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant by the factors of the leading coefficient.

The parameters for this function are given as follows:

The factors are given as follows:

Hence the possible roots are given as follows:

±1/3, ±1, ±3, ±5, ±5/3, ±9, ±5, ±15.

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The equation of the line passing through (2, 3) and (-1, -1). is 3y = 4x + 1

An equation is an expression that shows how two or more numbers and variables are related to each other. Types of equations can either be linear, quadratic or cubic

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear function is:

y = mx + c

m is the rate of change and b is the y intercept

The graph passes through (2, 3) and (-1, -1). Hence:

y - 3 = [(-1-3)/(-1-2)] (x - 2)

y - 3 = (4/3)(x - 2)

multiply through by 3:

3y - 9 = 4(x - 2)

3y - 9 = 4x - 8

3y = 4x + 1

The equation of the line is 3y = 4x + 1

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Answer:

the lcm of 14 10 and 3 is 210

Answer:

Step-by-step explanation:

before the discount is $25

tax  rate 7.5%

set books price as X

X×(1+7.5%) = 25

X = 23.25

lets say the subtotal price already apply the discount rate

(X×(1-12%))×(1+7.5%)=25

x= 26.42

no answer match you given

Ken's age can be calculated as follows: x x x = maximum target heart range − - − resting heart rate x = 139 − 73 = 66 x = 139 - 73 = 66 x=139−73=66.

Based on your age, you may calculate your maximum heart rate. Subtract your age from 220 to get a ballpark idea of your maximal age-related heart rate.

For instance, the predicted maximum age-related heart rate for a 50-year-old person would be computed as 220 - 50 years = 170 beats per minute (bpm).

15 seconds are needed to take your pulse. For beats per minute calculation, multiply this number by 4.

The highest rate is determined by deducting your age from 220. Therefore, the maximum heart rate for a 50-year-old is 220 minus 50, or 170 beats per minute.

Therefore, at a 50% level of effort, your goal would be 50% of that maximum, or 85 beats per minute.

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Therefore , the solution of the given problem of expression comes out to be  [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex] is the left expression.

Mathematical operations including addition, subtraction, multiplication, and division are required. They result in the following when combined: An equation, some information, and an arithmetic operator Values, parameters, and operations like adds, omissions, multiplications, and divisions make up a statement of fact. Different phrases and words can be contrasted and compared.

Here,

Given :

=>[tex](5x - 3)^\frac{1}{4} - 1/2(5x-3)^\frac{1}{4}[/tex]

=> [tex](5x-3)^{1/4} {1-\frac{1}{2 }[/tex]

=>[tex](5x -3)^\frac{1}{4} \times \frac{1}{2}[/tex]

=> [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex]

Thus , answer is [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex]

Therefore , the solution of the given problem of expression comes out to be  [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex] is the left expression.

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Answer:

see attached

Step-by-step explanation:

intercept on Y is when x=0, y = 16 so if no one goes to competition A, they'll have 16 six-member teams

intercept on x is when y=0, x=24 so if no one goes to competition B, they'll have 24 four-member teams

The set of values of k for which the curve y = (k + 1) x² - 3x + (k + 1) lies below the X axis is k > 1/2 and k < -5/2.  

Quadratic functions are polynomial functions of second degree.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given function is y = (k + 1) x² - 3x + (k + 1).

If the curve lies below the X axis, then the curve will not touch the X axis.

This means that, there will be no zeroes for the quadratic function.

So the discriminant will be negative.

Discriminant = [tex]\sqrt{b^{2}-4ac }[/tex] , for f(x) = ax² + b x + c.

So, for the function given,

Discriminant = [tex](-3)^{2} -[4*(k+1)*(k+1)][/tex]

                     = [tex]9-4(k+1)^{2}[/tex]

                     = 9 - 4(k² + 2k + 1)

                     = 9 - 4k² - 8k - 4

                     = -4k² - 8k + 5

-4k² - 8k + 5 < 0

4k² + 8k -5 > 0

Find the zeroes of 4k² + 8k - 5.

Zeroes are, k = [ -8 ± [tex]\sqrt{8^2-(4*4*-5)}[/tex] ] / (2 × 4)

                      = [ -8 ± [tex]\sqrt{144}[/tex] ] / 8

                      = [-8 ± 12] / 8

Zeroes are k = 4/8 = 1/2 and k = -20/8 = -5/2

4k² + 8k -5 = 0 when k = 1/2 and k = -5/2

4k² + 8k -5 > 0, when k > 1/2 and k < -5/2

Hence the values of k are k > 1/2 and k < -5/2 for which the function lies below the X axis.

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The standardized score of each outcome is 3.85.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by;

z = (x - μ)/σ

Where x is raw score, μ is mean and σ is standard deviation.

Given that;

μ = 23, σ = 3.9, hence for a score x = 38:

Now, substituting the values;

z = (38 - 23) / 3.9 = 3.85

z= 15/3.9

z=3.85

Therefore, the answer will be z score of 3.85;

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Answer: the store offered an 18.75% discount on the car

Step-by-step explanation:

The number of possible ways in which 3 beds, 1 desk and 4 dressers can be arranged are 12.

Given is that green family is selecting a furniture set there are 3 beds 1 desk and 4 dressers.

The total number of possible ways in which 3 beds, 1 desk and 4 dressers can be arranged are -

{x} = 3 x 4 x 1

{x} = 12

Therefore, the number of possible ways in which 3 beds, 1 desk and 4 dressers can be arranged are 12.

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Answer:

OOk

Step-by-step explanation:

Correct Answer:

Ali keeps his shop open for 13 hours straight.

Correct Step-by-step explanation:

Well that is that! Can't say anything about it....

It is simple babyish counting that you should learn too!

Hope this helped you count!

P.S: BRAINLIEST IS REQUIRED

The total tax that the employee is liable for paying will be $17,836 if the taxpayer declares $100,000 as income on the finished Form 1040.

An income range that is subject to a particular income tax rate is referred to as a tax bracket. A progressive tax system includes tax brackets, which indicates that when an individual's income increases, the amount of the tax rates increases gradually. Tax rates for low-income taxpayers are generally low, whereas those for high-income taxpayers are often higher.

For instance, a single filer in 2022 with $100,000 in taxable income will pay $17,836 in taxes, or an average tax rate of 18%. Your effective marginal tax rate, however, is 24%. As a result, the employee is accountable for paying a total of $17,836 in taxes.

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The function that represent the function g(x) is g(x) = f(x) + 4.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The graph of the function f(x) is given.

We know that, a linear function in slope intercept form can be represented as, y = mx + d, where m is slope and d is the y intercept.

y intercept is the y coordinate of the point where the line touches with the Y axis. At this point x coordinate is 0.

From the graph, we have f(x) = y = -1 when x = 0.

So y intercept, d = -1

Take two points from the graph (1, 0) and (0, -1).

Slope, m = (-1 - 0) / (0 - 1) = -1 / -1 = 1

f(x) can be represented in slope intercept form as f(x) = x - 1

We have a second function g(x) from the transformation of f(x).

y intercept of g(x) = 3

f(x) + 4 = x - 1 + 4 = x + 3 which can be g(X), since y intercept is 3.

Hence g(x) = f(x) + 4 is the function that represents the transformation of f(x) with y intercept 3.

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The increased number of tickets will be 220.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number of tickets is increased by a factor of 1.1. The increased amount will be calculated as:-

Amount = 200 x 1.1

Amount = 220

Hence, the increased number of tickets will be 220.

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The value of exponential function f (4) is 1,296.

The value of the exponential function is obtained from the common ratio of the resultant value of the number.

f ( 2 ) = 36

f ( 3 ) = 216

common ratio = ( f (3) ) / ( f (2) )

common ratio =  ( 216 ) / ( 36 )

common ratio = 6

so, f (2) = 6² = 36

f (3) = 6³ = 216

The value of exponential function f (4) is calculated as follows

Now, f (4) = 6⁴ = 1,296

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The variable is x, the coefficient is 5, and the constant is -8 and 12.

A linear algebraic equation is an equation whose degree of the highest variable is 1. In an algebraic equation, we have variables, coefficients, and the constant.

An algebraic equation may be expressed as ax + b = 0 or ax + by + c = 0, where a, b, and c are real integers and x and y are variables with a maximum degree of one.

In 5x - 8 = 12

The variable is x, the coefficient is 5 i.e. the number prior(before) the variable, and the constant is -8 and 12.

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Answer:

3/8

Step-by-step explanation:

0.375 im hoping thats correct good luck

Answer:

Below

Step-by-step explanation:

It goes UP from -20 but does not include -20 ( due to the hollow dot) and it is less than or equal to 30 :

-20< x <= 30