please answer this question with method

Answer:

thw answer is 67.910

Step-by-step explanation:

the second one

Answer:

#2

Step-by-step explanation:

the four answers start with 67. So if you focus on the digits that come after the decimal, which ever digits are higher than the original decimal will be your answer

The difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The given expression is (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³). The difference will be calculated as follows:-

Difference =  (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³).

Separate the like terms in the polynomial and solve accordingly.

Difference = (33r³s³+ 47r³s³-16rt⁷- 24rt⁷+72s⁵t²+ 18s⁵t² ).

Difference = 80r³s³- 40rt⁷+ 90s⁵t²  

Therefore, the difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.

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Answer: 1/15

Step-by-step explanation:

The area of the entire carpet is [tex](10)(6)=60[/tex] square meters.

The area of the square rug is [tex]2^2=4[/tex] square meters.

So, [tex]\frac{4}{60}=\frac{1}{15}[/tex] of the carpet is covered by the rug.

Answer: 1/15

Step-by-step explanation: The area of the entire carpet is  square meters.

The area of the square rug is  square meters.

So,  of the carpet is covered by the rug.

Answer:

It's 3.4

Step-by-step explanation:

get sum of 18 and 24

=42

18/42=3/7

24/42=4/7

Take the numerators which are 3and4

When we add or subtract fractions, we always have to make sure that all the fractions involved have a common denominator.

We're given:

To find the fraction representing the remaining time, subtract [tex]\dfrac{1}{6}[/tex] from [tex]\dfrac{2}{3}[/tex]:

[tex]\dfrac{2}{3}-\dfrac{1}{6}[/tex]

⇒ Make both denominators the same; multiply [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{2}[/tex] to change its denominator to 6:

[tex]= \dfrac{4}{6}-\dfrac{1}{6}\\\\= \dfrac{3}{6}[/tex]

⇒ Simplify the fraction:

[tex]= \dfrac{1}{2}[/tex]

Therefore, [tex]\dfrac{1}{2}[/tex] the hour remained.

[tex]\dfrac{1}{2}[/tex] the hour remained

The $8.78 more interest is owed on $900 for 9 months than 6 months.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

(a)

The formula for simple interest:

I = Prt

I(for 9 months) = 900x(2.9/100)(9/12)

I(for 9 months) = $19.575 = $19.58

I(for 6 months) = 900x(2.4/100)(6/12)

I(for 6 months) = $10.8

Difference = $19.58 - $10.8 = $8.78

(b)

From the table: the interest rate from 6 months to 9 months increases by 0.5% after that it increases constantly.

Thus, the $8.78 more interest is owed on $900 for 9 months than 6 months.

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ANSWER

B. 10 laps in 205 seconds

EXPLANATION

If we write the rate of laps to seconds as a fraction we have:

I simplified the fraction and got 2/41. An equivalent rate must give the same simplified fraction. For option B:

We can reduce both rates to the same rate: 2 laps every 41 seconds. Therefore, these two rates are equivalent.

Answer:

9x³−3x²−2x+7

Step-by-step explanation:

A school's fifth graders prepare a paper about a historical figure for a contest. The total number of students who participated in the contest is 153.

Given that,

A school's fifth graders prepare a paper about a historical figure for a contest.

The contest is being competed in by $5 classes of $25 students and $1 classes of $28 students.

We have to calculate the number of students who enter the contest.

We get

=5×25+1×28

Multiply the terms

=125+28

Adding the terms

=153

Therefore, the total number of students who participated in the contest is 153.

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Answer: 1 3/4

Step-by-step explanation:

1. find common denominator

11/12+10/12=21/12

2. simplify

21/12=7/4= 1 3/4

The explicit formula for the sequence is aₙ = 80 (0.5)ⁿ⁻¹

Given,

The sequence = 80, 40, 20, 10, ...

We have to find the explicit formula for the above sequence.

Explicit formula for a sequence: aₙ = a₁ (r)ⁿ⁻¹

That is,

a₁ = first term

r = common ratio

Lets check:

The sequence is 80, 40, 20, 10,....

a₁ = 80

a₂ = 40

a₃ = 20

a₄ = 10

Now, lets find the common ratio:

a₂/a₁ = 40/80 = 1/2

a₃/a₂ = 20/40 = 1/2

a₄/a₃ = 10/20 = 1/2

That is, the common ratio, r for the sequence is 1/2 which equals 0.5

Then, the explicit formula for the sequence is aₙ = 80 (0.5)ⁿ⁻¹

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Answer: 7

Step-by-step explanation: 7 + 13 = 20

20 + 6 = 26

26 + 2 = 28

28/4 = 7

Answer:

Mean = 7

Step-by-step explanation:

[tex]\boxed{\sf Mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}[/tex]

Given data set:  7, 13, 6, 2

Therefore:

[tex]\implies \sf Mean=\dfrac{\textsf{7+13+6+2}}{4}=\dfrac{28}{4}=7[/tex]

Using the mathematical operation of addition, the temperature in the thermometer, if it rises by 45°F, is (d) 30°F.

Mathematical operations use operands to combine with numbers and variables in a function so that they can produce results.

Some of the mathematical operations are addition, subtraction, division, and multiplication.

The temperature before the rise = -15°F

The temperature change = +45°F

The temperature after the rise = 30°F (-15°F + 45°F)

Thus, after adding the rise in temperature to the initial temperature, the new temperature in the thermometer is 30°F.

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From the relations between matrices and system of equations, we have that:

1. The matrix is:

[tex]\left[\begin{array}{ccc}2&-3&6\\1&1&2\end{array}\right][/tex]

2. The system is:

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

There are multiple ways to represent a system, and one way is using matrices, in which:

For item 1, the system is:

Hence the matrix is:

[tex]\left[\begin{array}{ccc}2&-3&6\\1&1&2\end{array}\right][/tex]

In item b, we have the matrix and want to build the system, hence:

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Answer:

$367

Step-by-step explanation:

738-550+189-10=367

The constraints of a linear programming issue must all be concurrently satisfied for a solution to be viable. We are aware that the ideal solution must maximize the value of the goal function and be located at one of the corners of the feasible region.

All of the constraints on the problem are met by a feasible solution. A feasible answer that, when maximized, yields the highest possible value for the objective function is known as an optimum solution (or smallest when minimizing). A linear program with two variables can be solved using a visual solution method.

A fundamental feasible solution (BFS), according to the theory of linear programming, is a solution with a small number of non-zero variables. Each viable solution polyhedron's corner correlates geometrically to a BFS. There must be an optimal BFS if there is an optimal solution. Therefore, taking into account the BFS-s is adequate to arrive at an ideal solution. The simplex algorithm, which effectively moves from one BFS to another until one is found that is optimal, makes use of this property.

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Answer:

Step-by-step explanation:

f(15) = F(75-2times 5)

Answer: f(15) = F(75-2times 5)

Step-by-step explanation: f(15) = F(75-2times 5)

the answer is no.

because 47 times 3 gives 141

where 3 is a non-decimal

Answer:

141/47 Is not a repeating decimal.

Step-by-step explanation:

141 ÷ 47 Is not a repeating decimal because 47 × 3 = 141

Answer:

88 g

Step-by-step explanation:

zinc : copper

4 : 17

? : 374

374 ÷ 17 = 22

22 × 4 = 88

Answer:

Step-by-step explanation:

23. 16 divided by 8 is 2, which means he spent 2 dollars on 1 wing. So 46 divided by 2 is 23.

For 46 dollars, Tyler can buy 23 chicken wings.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Tyler bought 8 chicken wings for $16.00.

To find the number of chicken wings, first find the cost of one chicken wing and to find number of chicken wings divide total cost by cost of one chicken wing.

So, the cost of each chicken wing is 16/8

= $2

So, the cost of each chicken wing is 2 dollars.

Tyler spent $46.00 on chicken wings.

Number of chicken wings = 46/2

= 23

So, the number of chicken wings are 23.

Therefore, Tyler can buy 23 chicken wings for $46.

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Answer:

Lmafo

Step-by-step explanation:

The value of HJ in the line segment  = 20

How to find the value of HJ?

Points H, I, J, K  lie on the same line segment in order.

HI : IJ : JK = 1: 3: 1

HK = 25

Let us consider the ratios,

Let H I = x

Let IJ = 3x

Let JK = x

⇒In the line segment,

HK = HI+ IJ+ JK

25  = x +3x +x

25  = 5x

x = 5

⇒In the line segment,

HJ = HI +IJ

HI = x

IJ = 3x

HJ = HI +IJ

    =  x + 3x

    = 4x

    = 4*5

HJ = 20

What is a line segment?

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Answer:

g(-9)+h(-9)=59

the answer is B

Answer:

A. standard form.

Step-by-step explanation:

Standard form = 750,000

Expanded form = 700,000 + 50,000

Answer:

1) 1 m² = 10.75 tiles

2) 10 m² = 107.5 tiles

3) 9.3 m² of tiles = 100 tiles

4) a m² = 10.5a tiles

Step-by-step explanation:

The table is missing and so i have attached it.

From the question, we are told that each square meter of ceiling requires 10.75 tiles. Thus on the first row;

1 m² = 10.75 tiles

The second row of the table shows 10 m² of tiles.

Thus, by proportion, 10 m² of tiles will require; 10 × 10.75 tiles = 107.5 tiles

The third row shows us 100 tiles required.

Since 10.75 tiles is for 1  m² , then by proportion, we can find the square meters of tiling of 100 tiles. Thus;

100 tiles will use; 100 × 1/10.75 = 9.3 m² of tiles

The fourth row shows us square meter of tiles to be a.

Thus by proportion, number of tiles required for this square meter of tile is;

a × 10.75/1 = 10.75a tiles

Answer:

13/42

Step-by-step explanation:

The directions probably say "Evaluate" or "Substitute and simplify"

They give us values for x and y.

x = 7 and y = 6

Fill in 7 and 6 for x and y.

(x + y) / xy

= (7 + 6) / 7•6

= 13/42

13/42 cannot be simplified.

Answer: 3 km

Step-by-step explanation: (included in picture) the 0.5 represents 30 minutes because 30 minutes is 0.5 of an hour. the x represents how far Majid can walk in 30 minutes

It is possible that Mrs. Chow gives them both full credit for completing the problem correctly because they correctly used relevant properties of equality

We are given the algebraic expression as;

2(x - 4) + 4 = 16

Now according to Melissa, her first step is to divide everything by 2 to get; (x - 4) + 2 = 8

Now, what Melissa has done is to use division property of equality to get that solution.

Whereas, Kristina solved the fitrst step by expanding the bracket to get;

2x - 8 + 4 = 16

Kristina used the algebraic property known as distributive property of equality.

Since they both used correct properties of equality, then they are both correct.

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