please help, i have no idea what to do...

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer: 0.2pi

Step-by-step explanation:

1. Find the area of the entire circle

2. Set up a proportion that compares the relationship of the Area of sector and the Area of circle to the Arc measure and the circle measure

3. Solve!

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

1 day

Step-by-step explanation:

So first you know Emma planted for 4 1/2 days and her brother 2/9 times as much so I think we should do this:

4  1/2 convert to improper fraction = 9/2

             -Then-

multiply 9/2 x 2/9 = 18/18 = 1 day

Hope this helped :D

Answer:

1 day

Step-by-step explanation:

took unit test

Discounts are used to reduce the price of items

The percentage discount during the sale is 22.41%

The given parameters are:

Worth = Rs 58000

Selling price = Rs 45000

Start by calculating the discount amount

Discount = Worth - Selling Price

So, we have:

Discount = Rs 58000 - Rs 45000

Discount = Rs 13000

The percentage discount is then calculated as:

\(\% Discount = \frac{Discount}{Worth}\)

This gives

\(\% Discount = \frac{13000}{58000}\)

Simplify

\(\% Discount = 22.41\%\)

Hence, the percentage discount during the sale is 22.41%

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Answer:

265 feet to the nearest foot.

Step-by-step explanation:

sin 3 = a / 5072

a = 5072 sin 3

= 265.4479 feet

Answer: .

Step-by-step explanation:.

Answer:

what is you question?

Step-by-step explanation:

The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

The reflection of a point across the x axis is given by the rule (x, y) ⇒ (x, -y). Triangle WXY have endpoints at X(3, 3), Y(2, -1) and W(0, -1).

The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).

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Answer:

expression on the right

Step-by-step explanation:

Answer:

Mercury-

57

million kilometers.

Scientific notation-

5.7

⋅

10

7

km

Venus-

108

million kilometers.

Scientific notation-

1.08

⋅

10

8

km

Earth-

150

million kilometers

Scientific notation-

1.5

⋅

10

8

km

Mars-

228

million kilometers

Scientific notation-

2.28

⋅

10

8

km

Jupiter-

779

million kilometers

Scientific notation-

7.79

⋅

10

8

km

Saturn-

1.43

billion kilometers

Scientific notation-

1.43

⋅

10

9

km

Uranus-

2.88

billion kilometers

Scientific notation-

2.388

⋅

10

9

km

Neptune-

4.5

billion kilometers

Scientific notation-

4.5

⋅

10

9

km

Answer:

A. f(x)=5cos(x+pi/4)

F. f(x)=5sin(x+3pi/4)

Step-by-step explanation:

Answer: 1. A, F

2. B. C , F

3.A,C

Step-by-step explanation:I just finished the practice

Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

Answer:

4.65

Step-by-step explanation:

Answer:

y=4/3x-3

Step-by-step explanation:

By using rise/run, you can see the slope in the equation, as it goes 4 units up and 3 units to the right.

For the y-intercept, you can see that the line intercepts (0,-3), which makes it the y-intercept.

Answer: y=-3+4/3x

Step-by-step explanation:

You get -3 because that is the point on the y axis

You get 4/3x from rise every additional point after
                               -------

                               run

Answer:

d) 6.750

The chi - square value = 6.750

Step-by-step explanation:

Given data

Starting Position              1           2            3           4            5              6  

Number of Wins (O)       33        44            32         36         45           50

Step(i) :-

mean = \(\frac{33+44+32+36+45+50}{6} = \frac{240}{6} =40\)

Expected frequency = 40

Number of Wins (O)      :     33        44            32         36         45           50

Expected frequency(E)   :   40         40           40         40          40          40

(O - E )                              :    -7          4              -8           -4           5            10

(O-E)²                               :     49         16           64          16          25          100

\(\frac{(O-E)^2}{E}\)                              :      1.225    0.4       1.6         0.4         0.625     2.5  

Step(ii):-

The χ² test

     χ²   =    ∑   \(\frac{(O-E)^2}{E}\)

  χ²  =  1.225 + 0.4 + 1.6 + 0.4 +0.625 +2.5 = 6.75

The chi - square value = 6.750

Final answer:-

The chi - square value = 6.750

Answer: D.

Step-by-step explanation: 2x squared - 2x squared cancel each other out. 4x-2x is 2x. -6-8 is -14. Then, put the answers together. Therefore, the final answer is 2x-14. Brainliest plz

Answer:

it's prime factors are; 1, 2 ,3, 3, 5, 7, 11, 13, 19, 23

The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

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Answer:

four and one hundred ninety-three thousandths

Answer:

Ans: four and one hundred ninety-three thousandths or

four point one nine three or

four point one nine three

Your Welcome. Have a great day/night

40 percent of 30 is equal to 25 percent of 48.

We have to find first 40% of the number 30.

40% of 30 = 40% × 30

                 = (40 / 100) 30

                 = 0.4 × 30

                 = 12

Now we have to find what percent of 48 is 12.

Let the required percentage be x.

x% of 48 = 12

(x/100) 48 = 12

x/100 = 12/48

x/100 = 0.25

x = 0.25 × 100

x = 25%

Thus, 40% of 30 equals 25% of 48.

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The expressions that are equivalent to 109 + 29m − 49n are 2(5 + m - 2n); 2(-2n + m + 5). So correct options are 1 and 4.

An algebraic expression is a mathematical phrase that consists of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve a wide variety of mathematical problems, including word problems, equations, and formulas.

In an algebraic expression, numbers are represented by constants, such as 2, 3, and 4. Variables, on the other hand, are represented by letters, such as x, y, and z, and can take on different values depending on the context of the problem. For example, if we are trying to solve for the area of a rectangle, we might use the expression A = l × w, where A represents the area, l represents the length, and w represents the width of the rectangle.

We can use algebraic manipulation to determine which expressions are equivalent to 109 + 29m − 49n.

Starting with 109 + 29m − 49n, we can simplify by factoring out 2:

109 + 29m − 49n = 2(54.5 + 14.5m − 24.5n)

So, we know that the first expression, 2(5 + m − 2n), is equivalent because it simplifies to:

2(5 + m − 2n) = 10 + 2m − 4n

Multiplying by 9 will not yield an equivalent expression, so the second option is not equivalent.

The third option, 2/9 (5 + m − 2n), is not equivalent because it is not a whole number.

The fourth option, 2(−2n + m + 5), is equivalent because it simplifies to:

2(−2n + m + 5) = −4n + 2m + 10

Multiplying by 9 will not yield an equivalent expression, so the fifth option is not equivalent.

The sixth option, -2/9 (2n − m − 5), is not equivalent because it is not a whole number.

Therefore, the expressions that are equivalent to 109 + 29m − 49n are:

2(5 + m - 2n)

2(-2n + m + 5)

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Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Answer:

7^2 or 49

hope this helped

if 1 2 3 = 2

then 3 5 4 = 5

hope it helps:)

Answer:

true

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10

To find:  standard deviation of the population

Solution:

Mean (M) = \(\frac{\sum_{i=1}^{n}x_i}{n}\)

here, \(x_i\) denotes number of observations and n denotes number of observations.

Variance = \(\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}\)

Standard deviation = \(\sqrt{variance}\)

\(M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7\)

Variance = \(\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}\)

\(=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4\)

Standard deviation = \(\sqrt{4}=2\)

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

\(B.\angle PQS=70\)

Step-by-step explanation:

\(We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70\)

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

6.4

Step-by-step explanation:

Not a clear question.  Is it 3.5 of this weight or, as it is written, 3 5?  If the first, then the answer is 6.4.