A table of values of a linear function is shown below.
y
slope:
y-intercept:

equation:

Find the slope and y-intercept of the function's graph, and find the equation for the function.

Answer: I believe 14.1 should be correct

Step-by-step explanation:

Given that we know one side length is 52 and the other is 21, we can use these values to create a scale.

52/21 = 2.4761, so we know that all sides will decrease by a scale of this value.

Given that, we can find the length of the MN. 35/2.4761 = 14.135

The question asks to round to the nearest tenth, so the answer should be 14.1. hope this helps!

A function to calculate the average attendance for all of the locations for the year 2018 would be: =average(F5:F11).

To enter a function to calculate the average attendance for the year 2022 we have to follow the following steps.

Note: This question is incomplete because the information is incorrect, and some information is missing. Here is the complete information and the correct information:

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The first steps of the accounting cycle is post journal data to a ledger.The process then involves entering the transaction ,find and evaluate transactions.

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Answer:

B. separate cash and bank card receipts from on account receipts.

Answer:

d. x-700=35

Step-by-step explanation:

The statement says that the variations will stay within a range of +5%, so the resistance can be increased by 5% of 700 ohms. To find the highest resistance that can be achieved, you can use the formula:

x = 700 + (700 * 5%) = 700 + 35 = 735 ohms

To find the lowest resistance that can be achieved, you can subtract the same percentage (5%) of 700 ohms:

x = 700 - (700 * 5%) = 700 - 35 = 665 ohms

So the lowest and highest resistance that can be achieved are 665 ohms and 735 ohms respectively.

Answer:

the circuit a1 and a3 are parallel to each other

rest of them must be in series

Alec's parents give him x dollars per month for his allowance. However, since his birthday is in February, he gets an extra 20% bonus that month. The allowance in February can be represented by the expression x + 0.2x because Alec will get the regular allowance of x dollars plus an extra 20% bonus which is equal to 0.2x dollars.

x + 0.2x = Alec's allowance in February

The expression 1.2x is not correct because it represents Alec's allowance multiplied by 1.2 which is not the same as the allowance plus the bonus.

So the correct answer is x + 0.2x.

Answer:

The Riemann Hypothesis is a conjecture made by mathematician Bernhard Riemann in 1859 that states that all non-trivial zeroes of the Riemann zeta function, which is a complex function that encodes the distribution of prime numbers, lie on the critical line of 1/2. The conjecture is considered one of the most important unsolved problems in mathematics and has yet to be proven or disproven.

There have been many efforts to prove the Riemann Hypothesis over the years, but so far, no one has been able to provide a definitive proof. Many mathematicians have made significant progress in understanding the conjecture and its implications, but a proof remains elusive.

Some of the notable efforts to prove the Riemann Hypothesis include:

In 1859, Riemann himself provided evidence to support the conjecture by showing that the first few non-trivial zeroes lie on the critical line.

In 1911, the mathematician G.H. Hardy proved that an infinite number of non-trivial zeroes lie on the critical line.

In the 1970s, the mathematician A. Selberg proved that an infinite number of non-trivial zeroes lie in the critical strip, which is a slightly wider region around the critical line.

Despite these advances, a proof of the Riemann Hypothesis remains elusive and it continues to be one of the most important unsolved problems in mathematics. Some of the most recent and notable progress on the Riemann Hypothesis has been made by researchers using computational methods such as the Turing method and the Gram-Schmidt orthogonalization method, but the proof is not yet proven.

It's worth mentioning that the Riemann Hypothesis is considered an important problem in mathematics, and solving it could have far-reaching implications for many areas of mathematics and physics, including number theory, cryptography and prime number distribution.

Step-by-step explanation:

Answer: The union of the two intervals is (-∞, ∞) which is the set of all real numbers.

The intersection of the two intervals is [0, 2], which is the set of all numbers that are greater than or equal to 0 and less than or equal to 2.

Step-by-step explanation:

You can visualize this using a number line, with the interval (-∞, 2) represented by the set of numbers to the left of 2 and the interval [0, ∞) represented by the set of numbers greater than or equal to 0. The union of the two intervals would be the entire number line, and the intersection would be the numbers between 0 and 2.

Answer:

√104.

Step-by-step explanation:

To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

So, for the given points (5, -4) and (3, 6), the distance is:

d = √((3 - 5)² + (6 - (-4))²)

d = √((-2)² + (10)²)

d = √(4 + 100)

d = √104

Therefore, the distance between the two points (5, -4) and (3, 6) is √104.

The sale reduces the original price of the backpack, this reduces the mean, median and mode of the prices.

The measurements of central tendency are the mean, median, and mode. The means of a group of numbers is their average. The value that is in the middle of a group of numbers is known as the median. The number that appears most frequently out of a group of numbers is called the mode.

In a scale all the items are at a discounted rate this decreases the prices of the commodity thus decreasing the mean, median and mode of the prices.

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Answer:

x^3 + 2x^2 + 4x - 8

Step-by-step explanation:

To find the product of (x-2)(x^2+2x+4), we can use the distributive property.

(x-2)(x^2+2x+4) = x(x^2+2x+4) - 2(x^2+2x+4)

= x^3 + 2x^2x - 2x^2 - 4x - 8

= x^3 + 2x^2 + 4x - 8

Answer:

You must apply the distributive principle x3 + 2x2 + 4x - 8 (x-2)(x2+2x+4) = x(x2+2x+4) - 2(x2+2x+4) to obtain the product of (x-2)(x2+2x+4).

So, therefore it is

= x^3 + 2x^2x - 2x^2 - 4x - 8

= x^3 + 2x^2 + 4x - 8

Step-by-step explanation:

Answer:

B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)

Step-by-step explanation:

This statement is true because the probability of Player 2, which is five eighths, is greater than the probability of Player 1, which is four sevenths. It is important to note that in order to compare the probabilities, it is necessary to convert the fractions to a common denominator. In this case, the common denominator is 56, then we can say that P(Player 2) = 35/56 and P(Player 1) = 28/56. Since 35/56 > 28/56, it is more likely that Player 2 will hit the ball than player 1.

Answer: B: Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)

Step-by-step explanation:

a) Before the loan is taken out and the investment is made, Karson's times' interest earned ratio is 2.63 times.

b) When the loan and the investment are made, the firm's times interest earned ratio will increase from 2.63 times to 2.87 times.

The times' interest earned ratio is the ratio that measures the company's ability to meet debt obligations using its net operating income.

The interest earned ratio is computed as the quotient of the net operating income (earnings before interest and taxes) and the interest expense.

Current net operating income = $503,000

Interest expense = $191,000

Times interest earned = 2.63 times ($503,000/$191,000)

Proposed loan = $1.15 million

Interest rate = 11%

Interest amount = $126,500 ($1,150,000 x 11%)

Additional net operating income = $408,000

New net operating income = $911,000 ($503,000 + $408,000)

New interest expense = $317,500 ($191,000 + $126,500)

Adjusted Times interest earned = 2.87 times ($911,000/$317,500)

Thus, if Karson takes the additional loan to finance the investment, its times' interest-earned ratio will increase, showing that it has the ability to settle the debt obligations.

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a. What is Karson's times' interest earned ratio before the loan is taken out and the investment is made?

b. What effect will the loan and the investment have on the firm's times interest earned ratio?

Answer: To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. The theorem is written as c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

In this problem, we are given that the lengths of the legs of the right triangle are 7 inches and 2 inches. We can substitute these values into the Pythagorean theorem and solve for c, the length of the hypotenuse.

So, we have c² = 7² + 2².

So, c² = 49 + 4

So, c² = 53

Now, we can take the square root of both sides of the equation, since c² = 53, we can say c = √53

To round to the nearest tenth, we look at the digit in the thousandths place (the 3rd digit after the decimal point). Since 3 is greater than or equal to 5, we round up, so c = 7.28, so the hypotenuse is 7.28 inches.

Step-by-step explanation:

Answer:10

Step-by-step explanation: round it together and you get 10

The line that includes the point (0, -20) and has a slope of 1 will be y = x - 20.

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 linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line has a slope of 1. Then the equation of the line is given as,

y = x + c

There is a line that includes the point (0, -20). Then the equation of the line is given as,

- 20 = 0 + c

c = - 20

Then the equation of the line is y = x - 20.

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Answer:

w = -2

Step-by-step explanation:

5w+3=-7

minus 3 from both sides:

5w=-10 then divide both sides by 5 to go get w by it self

w=-2

The value of w is -2.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an equation with 1 variable w.

5w + 3 = -7

We have to find the value of w.

We need to get the variable w on the left hand side and a number on the right hand side of the given equation.

Subtracting both sides of the equation by -3,

5w + 3 - 3 = -7 - 3

5w = -10

Dividing both sides of the equation by 5,

5w/5 = -10/5

w = -2

Hence we get the value of w as -2.

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Answer:

An example of two irrational numbers that add up to 2 are √2 and √2 - 2.

√2 is an irrational number as it cannot be expressed as a ratio of two integers.

√2 - 2 is also an irrational number as it is the difference of two irrational numbers.

Both √2 and √2 - 2 are irrational numbers and √2 + (√2 - 2) = √2 + √2 - 2 = 2

So, √2 and √2 - 2 are two irrational numbers that add up to 2.

Answer:

12/13

Step-by-step explanation:

It asks for sinB so lets look at reference angle B. So sin means the ratio between opposite side and hypotenuse. The side opposite to B is 12, and the hypotenuse is 13. Sin can be written as opposite side/hypotenuse. Hence, the answer would be 12/13.

Hope this helped.

An equation for a rational function with the given characteristics is  f(x)=3/2 (x+3)(x-3)/(x+2)(x-2)

A relation is a function if it has only One y-value for each x-value.

Since there are vertical asymptotes at X = -2 and X = 2, the denominator will have the terms (x+2) and (x-2)

Since the x intercepts are -3 and 3, the numerator will have the terms (x+3) and (x-3)

So far we have f(X) = a(x+3)(x-3)/(x+2)(x-2)

o find the value of A, we look at the horizontal asymptote. The horizontal asymptote describes what the function looks like when x approaches infinity, therefore a = 3/2

f(x)=3/2 (x+3)(x-3)/(x+2)(x-2)

Hence, an equation for a rational function with the given characteristics is  f(x)=3/2 (x+3)(x-3)/(x+2)(x-2)

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Answer:

$5.93

Step-by-step explanation:

26.95/5=5.93

( 3, 0 ) is a solution to the system of linear equations .

What is a linear equation explain?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1.

y = −x + 3

( 3, 0 ) Put in equation

0 = - 3 +  3

 0 =  0

− 3y = 15

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Therefore , the solution of the given problem of function comes out to be  $3,556 this is the total startup expense.

A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected limit. The relationship between a group of inputs, which each have a corresponding upper bound, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input.

Here,

Because the launch expense exceeds $50,000, any startup expenses that cannot be deducted may be prorated over a 180-month period beginning with the start of business.

The startup costs are divided by the entire number of months authorized for amortization, and the result is then calculated by the number of months that were traded throughout the year.

The Root bark Corporation has been conducting business in the case at hand for 10 months, from March to December 2019.

Amount that can be amortized: ($64,000 / 180 months) * 10 months.

=>  $3,556 this is the total startup expense that may be deducted.

Therefore , the solution of the given problem of function comes out to be  $3,556 this is the total startup expense.

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Two lines are parallel if their slopes are equal. To find the slope of the line through the points (1,2) and (1,a), we can use the formula:

(y2 - y1) / (x2 - x1) = (a - 2) / (1 - 1) = a - 2

To find the slope of the line 6x + 2y = -2, we can rewrite it in slope-intercept form (y = mx + b) by isolating y:

2y = -6x - 2

y = -3x - 1

So the slope of this line is -3.

Since the line through the points (1,2) and (1,a) is parallel to 6x + 2y = -2, we know that the slopes must be equal. Therefore:

a - 2 = -3

Solving for a:

a = -1

So the value of a is -1.

Answer: Tiana needs to buy 560.64 in. of wrapping paper

Step-by-step explanation: Long sides:

length times width=area

22.2*4.8=106.56

times the number of similar sides

106.56*4=426.24

Short sides:

height times width=area

4.8*14=67.2

times the number of similar sides

67.2*2=134.4

add seperate areas

426.24+134.4=560.64

round to nearest hundredth

560.64 stays the same because there is no thousandth place

Answer:

q=quarters, d=dimes

q+d=8

.25q+.1d=1.25

Let's set the first equation to equal d.

d=8-q

.25q+.1(8-q)=1.25

Distribute.

.25q+.8-.1q=1.25

Combine Like Terms

.15q+.8=1.25

Subtract .8

.15q=.45

Divide by .15

q=3

Now, let's solve for d in the first equation.

d+3=8

Subtract 3, and you get d=5

So, there are 5 dimes and 3 quarters in Maribel's pocket.

Check: .25(3)+.1(5)=1.25

.75+.5=1.25

1.25=1.25 which is true.

Jordan has 3 quarters and 5 dimes in his pocket that total to $1.25.

Let's assume Jordan has x number of quarters and 8 - x number of dimes in his pocket.

Each quarter is worth 25 cents, so the value of the quarters is 25x cents.

Each dime is worth 10 cents, so the value of the dimes is 10(8-x) cents.

The sum of the values of the quarters and dimes should be equal to $1.25, which is 125 cents. So, we can set up the equation: 25x + 10(8-x) = 125.

Simplifying the equation, we get 25x + 80 - 10x = 125. Combining like terms, 15x + 80 = 125. Subtracting 80 from both sides, 15x = 45. Finally, dividing both sides by 15, we find x = 3.

Therefore, Jordan has 3 quarters and 8 - 3 = 5 dimes in his pocket.

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Answer:

d=9

Step-by-step explanation:

d-1(-3)=12

d+3=12

subsctract 3 both sides

12-3=9

d = 9

Study finds that Africa’s population increased by over 1 billion, from 228.7 million in 1950 to 1.341 billion in 2020: 431 million in Eastern Africa; 404 million in Western Africa; 247.5 million in Northern Africa; 193.5 million in Middle Africa; and 64.5 million in Southern Africa.

Exponential Decay APPLICATION The half-life of strontium-90 is 28 years, meaning that after 28 years a given amount of the substance will have decayed to half the original amount. Application In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Use the exponential growth model in which t is the number of years after 2000, to find the exponential growth function that models the data. The model isApplication continued:- By which year will Africa’s population reach 2,000 million. Use the exponential growth function model: to find how long it will take to reach a population of 2,000 million.

Nigeria is forecast to become the world’s third-biggest country – after India and China – with 405 million people. The main reason for these demographic trends is Africa’s high fertility rate compared with other regions


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