teacup mass and 4 cups is $1280

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:

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:

The model -3/4+5/12 on the number line is attached in the image below

Generally, A image of a graded straight line is what is known as a number line, and its purpose in elementary mathematics is to serve as a visual representation of real numbers. A number line is the name for this kind of diagram.

It is a widely held belief that a real number may be allocated to each point on a number line, as well as the inverse, which states that a real number can be assigned to each point on a number line.

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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:

Therefore, the number of seats for each aircraft is 752, 688, and 1224.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.

Let x be the number of seats for the second aircraft.

The first aircraft has x + 64 seats.

The third aircraft has 2x - 152 seats.

The total number of seats for all aircraft is x + (x + 64) + (2x - 152) = 1900.

Therefore, 3x = 2064, so x = 688.

The first aircraft has 688 + 64 = 752 seats.

The third aircraft has 2(688) - 152 = 1224 seats.

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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.

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:

d=9

Step-by-step explanation:

d-1(-3)=12

d+3=12

subsctract 3 both sides

12-3=9

d = 9

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:

$5.93

Step-by-step explanation:

26.95/5=5.93

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: 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

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 interest paid at the term end will be $5400.

What is interest and its types(Simple and compound interest)?

Interest is the cost of borrowing money, where the borrower pays a fee to the lender for the loan. The interest, typically expressed as a percentage, can be either simple or compounded. Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period. Simple interest is calculated only on the principal amount of a loan or deposit, so it is easier to determine than compound interest.

​The formula for these are

Simple Interest= P×r×n

where:

P=Principal amount

r=Annual interest rate

n=Term of loan, in years

​

Compound Interest=P×(1+r)^t−P

where:

P=Principal amount

r=Annual interest rate

t=Number of years interest is applied

​

Here,

Interest rate will be risk percentage + LIBOR

i.e.4.8%

Hence, the interest can be found by using formula for simple interest

Therefore,

SI=P*r*t

=$450000*0.048*0.25               (Time is 3 month or  0.25 years.)

SI (Interest paid)=$5400

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The interest paid at the end of the 3-month loan term for a loan amount of $450,000 with a business risk percentage of 2.0% and a LIBOR rate of 2.8% would be $5,040.

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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:

The slope is -1

The y-intercept is -8

The equation is y = -x -8

Step-by-step explanation:

The slope is the change in y over the change in x.  As the y is decreasing by 1.  The x is increasing by 1

-1/1 = -1  

The slope is -1.

The y-intercept is the y value when the x value is 0.  When x = 0, y = -8

The y-intercept is -8.

y = mx + b

y = -1x - 8  I don't nee the 1 so I am going to write it without it.

y = -x - 8

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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( 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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a) The proportion of students at the large university who have a roommate and study for at least five hours is 40%.

b) On average, students with a roommate study for hours more than those with no roommates.

Ratios equated to each other are described as proportions.

Proportion is a part of a whole.  Proportions are depicted as decimals, fractions, and percentages.

Average refers to the mean of the data set.

Averages are computed as the quotients of a numerator in relation to a denominator.

Hours Studied               Roommate Status                 Total

Per Week           No Roommate   One Roommate

Three                              15                      15                   30

Five                               20                      26                   46

More than five               10                      14                    24

Total                              45                     55                  100

The proportion of students who have a roommate and study for at least five hours = (26+ 14)/100 = 40%

One Roommate

Three hours 27%

Five hours = 47%

More than five hours = 26%

No Roommate

Three hours 33%

Five hours = 45%

More than five hours = 22%

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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

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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Answer:

(a)  See attachment.

(b)  12:23

Step-by-step explanation:

A bearing is the angle (in degrees) measured clockwise from north.

To mark the position of J on the given map:

(See attachment).

Given:

Convert 9600 meters into kilometers by dividing by 1000:

⇒ 9600 m = 9600 ÷ 1000 = 9.6 km

[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

Therefore:

[tex]\sf Time=\dfrac{Distance}{Speed}[/tex]

Substitute the given distance and speed into the formula to calculate the time it took Kendra to walk from K to L:

[tex]\implies \sf Time=\dfrac{9.6\;km}{4.5\;km/h}=2.133333...\;hours[/tex]

Convert 2.133333.. into a mixed number:

[tex]\implies \sf 2.133333...=2\frac{2}{15}\;hours[/tex]

To find the number of minutes in 2/15ths of an hour, multiply 2/15 by 60:

[tex]\implies \sf \dfrac{2}{15} \times 60=\dfrac{120}{15}=8\;minutes[/tex]

Therefore, it took Kendra 2 hours and 8 minutes to walk from K to L.

If Kendra left at 10:15:

[tex]\implies \sf 10:15 + 2\;hours = 12:15[/tex]

[tex]\implies \sf 12:15 + 8\;minutes=12:23[/tex]

Therefore, Kendra arrived at L at 12:23.

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:

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.

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:

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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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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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: 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!