If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

Answer:

the order of operations is .called BODMAS rule

B.brackets

O.of

D.division

M.multiplication

A.addition

S.subtraction

Step-by-step explanation:

= (-112)-(20)

= -132

Largest value can decreased by 49 without affecting the value of median.

The median is the middle score in the set. To find the median, you take these steps:

Step 1: Arrange the scores in numerical order

Step 2: Count how many scores you have

Step 3: Divide the total scores by 2

Step 4: If you have an odd number of total scores, round up to get the position of the median number. If you have an even number of total scores, go to the number in that position and average it with the number in the next higher position to get the median.

For example:

given sets: 5, 4, 3, 6, 8

now rearrange the sets in increasing order: 3, 4, 5, 6, 8

median = ( n + 1 ) / 2 = ( 5 + 1) / 2 = 3

here median = 5

We have given that:

384, 350,  354, 361, 378, 424, 321, 396, 404, 374, 376, 370, 363, 366, 365 329, 339, 394, 393, 369, 376, 359, 354, 408, 330, 398.

when we arrange it in increasing order.

here n = 26

median = ( n + 1 ) / 2

median =  average of 13th and 14th element

median = 371

larger value can be decreased by 420 - 371 = 49

Hence,

Largest value can decreased by 49 without affecting the value of median.

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape:

384, 350,  354, 361, 378, 424, 321, 396, 404, 374, 376, 370, 363, 366, 365 329, 339, 394, 393, 369, 376, 359, 354, 408, 330, 398.

By how much could the largest sample observation be decreased without affecting the value of the median?

The largest sample observation could be decreased by 54.5 without affecting the value of the median.

We have given the data:

384, 350,  354, 361, 378, 424, 321, 396, 404, 374, 376, 370, 363, 366, 365 329, 339, 394, 393, 369, 376, 359, 354, 408, 330, 398.

Now, we arrange it in increasing order.

321, 329, 330, 339, 350, 354, 354, 359, 361, 363, 365, 366, 369, 370, 374, 376, 376,378, 384, 393, 394, 396, 398,404, 424

Here n = 26

median = ( n + 1 ) / 2

median =  369 + 370 / 2

median = 369.5

Larger value can be decreased by 424 - 369.5= 54.5

Therefore, the largest sample observation could be decreased by 54.5 without affecting the value of the median.

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The question given was incomplete on the portal. Here is the complete question.

A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape:

384, 350,  354, 361, 378, 424, 321, 396, 404, 374, 376, 370, 363, 366, 365 329, 339, 394, 393, 369, 376, 359, 354, 408, 330, 398.

By how much could the largest sample observation be decreased without affecting the value of the median?

Answer:

B = (4, 3)

D = (8,6)

Step-by-step explanation:

Go along the X axis until you find the line that fits with B, same with D.

Step-by-step explanation:

reciprocal ; negative ; additive inverse ; and multiplicative inverse . Explanation: The opposite of a number in is a negative. The number we can add to a number to get 0, or the opposite of a number as far as addition goes, is its additive inverse

Answer:

inverse

Step-by-step explanation:

hope this helps:)

Answer:

The percent of the bill he paid as the tip is 20% (explanation below)

Step-by-step explanation:

7.15/35.75 x 100% = 20%

Answer:

Your answer is A: 9/41

Step-by-step explanation:

A: 9/41

The investment will be worth approximately $1,546.45 at the end of 7 years. To calculate the value of the investment after 7 years, we can use the formula for compound interest:

Value = Principal * (1 + interest rate)^time

Given Data:

Principal (P) = $900

Annual Interest Rate (r) = 8% or 0.08

Number of years (t) = 7

Substituting the values into the formula, we have:

Value = $900 * (1 + 0.08)^7

Calculating the exponent:

(1 + 0.08)^7 = 1.08^7 ≈ 1.718279

Now we can calculate the value of the investment:

Value = $900 * 1.718279 ≈ $1,546.45

Therefore, the investment will be worth approximately $1,546.45 at the end of 7 years.

In this calculation, we used the compound interest formula, which takes into account the initial principal, the annual interest rate, and the number of compounding periods (in this case, 7 years). The interest is compounded annually, meaning that at the end of each year, the interest earned is added to the principal for the next year's calculation.

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Given the information provided, we can determine the probability by dividing the number of firms with $1 million or more in income after taxes by the total number of firms in the sample.

Out of the 400 computer service firms surveyed, the number of firms with $1 million or more in income after taxes is given as 138. To calculate the probability, we divide this number by the total number of firms in the sample (400):

Probability = Number of firms with $1 million or more in income after taxes / Total number of firms

Probability = \(\frac{138}{400}\)

Simplifying the division, we find:

Probability = 0.345

Therefore, the probability that a particular firm selected has $1 million or more in income after taxes is 0.345 or 34.5%.

Based on the given options, the closest probability to 0.345 is 0.46, which is the best choice for the probability value.

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Answer:

Circle 1

28.269 ÷ 9 = 3.141

Circle 2

25.126 ÷ 8 = 3.14075

Circle

37.686 ÷ 12 = 3.1405

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

The approximate side length of the frame to the nearest whole number is 4 inches.

Area of square = side length ²

18 = side length ²

find the square root of both sides

side length= √18

= 4.24264068711928514640506617262909423570

Approximately to the nearest whole number is 4 inches

Therefore, the approximate side length of the frame to the nearest whole number is 4 inches

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the integral of the line, where c is the specified curve. The line integral is (x 9y) dx x2 dy, where C is the provided curve. The line segments from (0, 0) to (9, 1) and from (9, 1) to (10, 0), respectively, make up the integral c (x+2y)dx+x2dy, C. is 95/3

\(\int\limits^a_c {(x+9y,x^{2} )} \, dr_{2} = \int\limits^1_0{9+t+9-9t, (9+t )^2} .(1, -1)\, dt\)

it is possible to parameterize the first line segment by

\(r_{1} (t) = (0,0)(1-t) + (9,1)t = (9t,t)\) with 0 ≤ t ≤ 1 indicate this first section with \(C_{1}\) then

\(\int\limits^a_c {(x}+9y,x^2 ) \, dr_{1} = \int\limits^1_0 {(9t+9t,81t^2) . (9,1)} \, dt\\ \\= \int\limits^1_0 {(162t + 81t^2) } \, dt\\\\= 108\)

secondly the line segment \(C_{2}\) can be characterised as

\(r_{2} (t) = (9,1)(1-t) + (10,0)t = (9+t,1-t)\) again using interval  0 ≤ t ≤ 1  then

\(\int\limits^a_c {(x+9y,x^{2} )} \, dr_{2} = \int\limits^1_0{9+t+9-9t, (9+t )^2} .(1, -1)\, dt\)

= -229/3

finally ,

= 108-229/3

= 95/3

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\(x=\textit{oz of solution at 10\%}\\\\ ~~~~~~ 10\%~of~x\implies \cfrac{10}{100}(x)\implies 0.1 (x) \\\\\\ y=\textit{oz of solution at 20\%}\\\\ ~~~~~~ 20\%~of~y\implies \cfrac{20}{100}(y)\implies 0.2 (y) \\\\\\ \textit{32 oz of solution at 12\%}\\\\ ~~~~~~ 12\%~of~32\implies \cfrac{12}{100}(32)\implies 0.12 (32)\implies 3.84 \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{lcccl} &\stackrel{oz}{amount}&\stackrel{\textit{\% of oz that is}}{\textit{salt only}}&\stackrel{\textit{oz of}}{\textit{salt only}}\\ \cline{2-4}&\\ \textit{10\% salt water}&x&0.10&0.1x\\ \textit{20\% salt water}&y&0.20&0.2y\\ \cline{2-4}&\\ mixture&32&0.12&3.84 \end{array}~\hfill \begin{cases} x + y = 32\\\\ 0.1x+0.2y=3.84 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{x+y=32}\implies y=32-x \\\\\\ \stackrel{\textit{using the 2nd equation}}{0.1x+0.2y=3.84}\implies \stackrel{\textit{substituting from the 1st equation}}{0.1x+0.2(32-x)~~ = ~~3.84} \\\\\\ 0.1x+6.4-0.2x=3.84\implies 6.4-0.1x=3.84\implies 6.4=0.1x+3.84 \\\\\\ 2.56=0.1x\implies \cfrac{2.56}{0.1}=x\implies \boxed{25.6=x}\hspace{5em}\stackrel{ 32~~ - ~~25.6 }{\boxed{y=6.4}}\)

0.75 kg is equal to 750,000 mg. To convert kilograms (kg) to milligrams (mg), we need to multiply the given value in kilograms by a conversion factor. In this case, the conversion factor is 1 kg = 1,000,000 mg.

By multiplying 0.75 kg by 1,000,000 mg/kg, we find that 0.75 kg is equal to 750,000 mg. The conversion factor of 1,000,000 mg/kg is derived from the fact that there are 1,000 grams (g) in a kilogram and 1,000 milligrams (mg) in a gram. Therefore, multiplying these conversion factors together gives us 1,000,000 mg/kg. In this context, the conversion allows us to express a given mass of 0.75 kg in a smaller unit of measurement, which is milligrams. Milligrams are commonly used for precise measurements or when dealing with very small quantities. So, by converting 0.75 kg to 750,000 mg, we have a representation of the same mass in a more granular unit, which can be useful in certain scientific or technical calculations.

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To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

25% decrease

Step-by-step explanation:

First find the amount of decrease  ( we know this is a decrease since it got smaller)

24-18) =6

Take this over the original amount

6/24 = 1/4 = .25

Change to percent form

25%

25% decrease

Answer:

25%

Step-by-step explanation:

We take

18 divided by 24, then times 100 = 75%

100% - 75% = 25%

So, it goes down 25%

This type of sum is Liquidated damages.

Liquidated damages are presented in certain legal contracts as an estimate of otherwise intangible or hard-to-define losses to one of the parties.

As per the given situation we have

parties to a sales contract have stipulated that a specific sum be paid by any party

Liquidated damages occur in such a situation.

The amount of damages that the parties estimate and agree upon at the time of the contract for a breach of the agreement by either party is referred to as liquidated damages.

Regardless of the actual cost of any potential damages due to the breach of the contract, this amount becomes due immediately.

According to Section 74 of the Indian Contract Act, 1972, if parties agree a sum to be paid as damages or a penalty to be imposed for a breach, the harmed party is only entitled to that sum or penalty and no other higher or lesser sum.

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Answer $2,295.60:

Step-by-step explanation: i just did this assignment and got it right, hope this helps

In linear equation, $869,776  will her total payment for the home be .

What in mathematics is a linear equation?

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.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

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Answer:

  D.  (y +4)² = -4(x -2)

Step-by-step explanation:

The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.

The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...

  x = (1 +3)/2 = 2

The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...

  (y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)

The equation is ...

  (y +4)² = -4(x -2)

_____

Additional comment

Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.

\({ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4} }}}}\)

\({ \large{ \sf{ \implies( \sqrt[3]{8} {}^{2} ) {}^{4} }}}\)

\({ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}\)

\({ \large{ \implies{ \sf{4 {}^{4} }}}}\)

\({ \large{ \therefore{ \sf{256} \: \: ans.}}}\)

The side lengths 20, 2, 13 do not make a triangle

To determine if 20, 2, and 13 can form a triangle, we can use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, let's check if this inequality holds true for the given sides:

20 + 2 > 13 (True)

20 + 13 > 2 (True)

2 + 13 > 20 (False)

Since the first inequality (20 + 2 > 13) is false, we can conclude that 20, 2, and 13 cannot form a triangle.

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The answer is that the value of x such that ex > 1,000,000,000 is x > 14.876 (rounded to three decimal places) and the exponential function f(x) = Cbx whose graph is given is f(x) = 25000e0.03x.

a) To estimate the value of x such that ex > 1,000,000,000, we can use a graph of the exponential function ex. On the graph, we can locate the point (x, ex) = (14.876, 1,000,000,000), which means that when x = 14.876, ex > 1,000,000,000. Therefore, the value of x such that ex > 1,000,000,000 is x > 14.876 (rounded to three decimal places).

b) The exponential function f(x) = Cbx whose graph is given is f(x) = 25000e0.03x.

The answer is that the value of x such that ex > 1,000,000,000 is x > 14.876 (rounded to three decimal places) and the exponential function f(x) = Cbx whose graph is given is f(x) = 25000e0.03x.

The complete question is :

Use a graph to estimate the values of x such that ex > 1,000,000,000. (round your answer to three decimal places.) a) Use a graph to estimate the values of x such that ex > 100,000. (Round your answer to three decimal places.) x >b) Find the exponential function f(x) = Cbx whose graph is given. f(x) = 25000e0.03x.

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Answer:

triangle

Step-by-step explanation:

Answer:

11z+ 13

Step-by-step explanation:

22z - 11z = 11z

11z+ 13

Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

1) b) r = 7

2) e) 82

Step-by-step explanation:

Progressão aritmética:

Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.

O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:

\(a_n = a_1 + (n-1)r\)

Tomando o m-ésimo termo como referência, tem-se que:

\(a_n = a_m + (n-m)r\)

1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:

\(a_5 = 40, a_9 = 68\). Então:

\(a_n = a_m + (n-m)r\)

\(68 = 40 + 4r\)

\(4r = 28\)

\(r = \frac{28}{4} = 7\)

Então a resposta correta é dada pela alternativa b.

2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:

O primeiro termo é \(a_1 = 72\) e o oitavo termo é \(a_8 = 107\). Com isso, é possível encontrar a razão.

\(a_n = a_1 + (n-1)r\)

\(107 = 72 + 7r\)

\(7r = 35\)

\(r = \frac{35}{7} = 5\)

Então, o terceiro termo é:

\(a_3 = a_1 + 2r = 72 + 2(5) = 82\)

Logo, a resposta correta é dada pela alternativa e.

The second derivative, inflation point and slope of differential equation are explained below.

differential equation states how a pace of progress (a "differential") in one variable is connected with different factors. For example, when the position is zero (ie. the spring is neither extended nor compacted) then the  velocity isn't evolving.

We have,

dy/dx = 2x-y

Suppose f'(x) = 2x - y

d^2y/dx^2 = d(2x - y)/dx

⇒ 2

(b) To find the inflection points, equate f(x) to zero and solve for x.

f"(0) =0

f" (x)=2

So, the function defined on the interval (- ∞, 2) (2,  ∞)

In the interval (- ∞, 2), when x-1

f"(1)=2>0

So, the concave up wards on this interval.

In the interval (2,∞) when x=2

f"(2)=2>0

the concave up wards on this interval

Now, the slope of the function,

f(2)=3

here x-2y=3

Then, x = 2, y = 3

\(\frac{dy}{dx}|_{2, 3}\) = 2(2) - 3 = 1

Thus, the slope of the function is 1.

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\(\large\underline{\sf{Solution-}}\)

Let the number be multiplied be 'x'.

Therefore, according to the given conditions:

\( \rm\longmapsto {3}^{ - 3} \times x = 4\)

We know that:

\( \rm\red⇛ {x}^{ - a} = \dfrac{1}{ {x}^{a} } \)

Therefore:

\( \rm\longmapsto \dfrac{1}{ {3}^{3} } \times x = 4\)

\( \rm\longmapsto \dfrac{x}{27 } = 4\)

Multiplying both sides by 27, we get:

\( \rm\longmapsto27 \times \dfrac{x}{27 } = 4 \times 27\)

\( \rm\longmapsto x = 4 \times 27\)

\( \rm\longmapsto x = 108\)

So, 108 must be multiplied to get 4.

Verification:

Substitute x = 108, we get:

\( \rm = {3}^{ - 3} \times 108 \)

\( \rm = \dfrac{1}{27} \times 108 \)

\( \rm = \dfrac{1}{27} \times 27 \times 4\)

\( \rm =4\)

Answer:

Step-by-step explanation:

By what number should 3^-3 be multiplied to obtain 4 ?​

4 : 3^-3=

108

--------------------

check

3^-3 * 108 = 4

the answer is good

a) The percentage increase in sales from 2004 to 2014 for Company A was 21.25%.

b) The company that had the most sales per worker in 2014 was Company A.

The percentage increase refers to the amount of increase (that is the difference between the current value and the initial value) divided by the initial value, multiplied by 100.

Percentage increases are determined as the quotients of division operations, which are multiplied by 100 to express the value in percentage terms.

a) Percentage increase in sales from 2004 to 2014 for Company A:

Sales increase = $68 ($388 - $320)

Percentage increase = 21.25% ($68/$320 x 100)

b) Sales per Worker in 2014:

Company A = $121,250 ($388,000,000/3,200)

Company B = $89,062.50 ($57,000,000/640)

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                    Company A                                      Company B

              Sales        Number of Workers        Sales       Number of Workers

           ($ millions)                                        ($ millions)

2004      $320               2,960                        $48                   605

2014         388               3,200                           57                   640

(b) Which company had the most sales per worker in 2014. Company A or Company B?