Find the formula for the nth term of the following sequence:

648, 108, 18, 3...

Include "n=" in your answer, and do not use any spaces.

Answer:

150, 175, 4

Step-by-step explanation:

Multiply the amount of ammonia by 50 to get the amount of distilled water.

Conversely, divide the amount of distilled water by 50 to get the amount of ammonia.

Answer: no solution

Step-by-step explanation:

The answers are :

1. The equation of line parallel to y =  [tex]\frac{2}{5}[/tex] x - 3 will be y =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex] .

2. The equation of line perpendicular to y = - [tex]\frac{2}{5}[/tex] x - 4 will be y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex] .

What is the slope intercept form of a line ?

The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

1.

It is given that equation is : y = 2/5x - 3.

So , the slope here is 2/5 and a parallel line will have the same slope.

We know that the slope intercept form of a line is :

y = mx + c

Put , slope(m) = 2/5 in above equation.

Given , (1,-1) i.e., x = 1 and y = -1

Now we substitute these values to find value of c.

-1 = 2/5(1) + c

-1 = 2/5 + c

-1 - 2/5 = c

(-5 - 2)/5 = c

-7/5 = c

Putting m = 2/5 and c = -7/5 , we get :

So, the equation of parallel line is :

y =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex]

2.

We know that the product of the slope of two perpendicular lines is -1.

Given that equation is : y = -2/5x - 4 i.e., slope = -2/5

So , slope of a line perpendicular to this line is -1/(-2/5) = 5/2

And this line passes through the point (-3,1).

Equation of a line that passes through a point (x1 , y1) and slope (m) is :

(y-y1) = m (x-x1)

Here ;

x1 = -3 , y1 = 1 and m = 5/2

So , the equation of perpendicular line will be :

(y - 1) = [tex]\frac{5}{2}[/tex] (x - (-3))

(y - 1) =  [tex]\frac{5}{2}[/tex] (x + 3)

y - 1 =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{15}{2}[/tex]

y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{15}{2}[/tex] + 1

y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex]

Therefore , the answers are :

1. The equation of line parallel to y =  [tex]\frac{2}{5}[/tex] x - 3 will be y =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex] .

2. The equation of line perpendicular to y = - [tex]\frac{2}{5}[/tex] x - 4 will be y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex] .

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The range of the quadratic function is shown on the graph.is {x | −3 ≤ x ≤ 2}

A quadratic function is a type of function that has polynomials, if the polynomial in a quadratic function is of degree two then the polynomial is said to be quadratic. we can therefore say that quadratic functions are a special type of polynomials with a power of 2

The graph of a quadratic function is represented by a curve opening upward or downward, it may also open sideways depending on ow the values are chosen.

The range are the input values, they are on the x axis. Form the description of the graph the range is fount to be {x | −3 ≤ x ≤ 2}

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The temperature in degree Celsius when the temperature is 50°F is;  C = 10°C

We are given the formula for converting temperature from degree Celsius to degree Fahrenheit as;

F = ⁹/₅C + 32

Making C the subject;

⁹/₅C = F - 32

Multiply through by 5/9 to get;

C = ⁵/₉F - 32(5/9)

We are told that the temperature is 50°F. Thus;

C = ⁵/₉(50) - 32(5/9)

C = ⁵/₉ * 18

C = 10°C

Thus, the temperature in degree Celsius when the temperature is 50°F is;  C = 10°C

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Angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.

So, an angle measure of 134.26° is converted to DMS notation as:

(Refer the image given below for calculation)

Therefore, the angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.

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In a case whereby stephanie added 20 more apps to get tablet, making the total more than 61 the number of apps that were originally on the tablet is [tex]a +20 > 61[/tex].

Inequality can be described as the statement  that do follow some  orderly relationship, it should be noted that this usually consist of greater than as well as  greater than or equal to.

As regards the question,  we will have a>61-20 then a>41

Therefore, In a case whereby stephanie added 20 more apps to get tablet, making the total more than 61 the number of apps that were originally on the tablet is [tex]a +20 > 61[/tex].

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NOTE; This is a complete question , no given option , even on internet.

The measure of ∠YZW is given as 180 degrees.

In the field of geometry, and in mathematics, the straight angle is one that is said to be equal to 180 degrees. That is, it is the angle that is called so based on the fact that it appears on a straight line. The sides of the angle are on separate positions compared to that of the vertex that appears also in a straight line.

Based on this explanation, we can see that ∠YZW appears on a straight line in the image that we have here.

Hence we would conclude by saying that The measure of ∠YZW is given as 180 degrees.

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Answer:

(1) 125

Step-by-step explanation:

I calculated it, I can guarantee that this is the correct answer.

Answer: P = 50x + 100

Step-by-step explanation: P is the total amount that you pay, 50x is the amount per hour plus the flat rate of 100 that you are guaranteed to pay.

Hope this helps.

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.

Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,

P = 50x + 100

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

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Draw a model and write to represent 4 times as many as 3 is 12.

The required equation is 4×3=12 and the required model is shown in figure.

The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.

Consider the provided information.

We need to draw a model and write an equation to represent 4 times as many as 3 is 12.

4 times as many as 3 can be written as:

4×3

This expression is equal to 12. Thus the combined equation is:

4×3=12

Therefore, the equation represents 4×3=12.

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After factorization, the factors are  (x - 22) (x + 10).

So, x² - 12x - 220:

Therefore, the factors are (x - 22) (x + 10).

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The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%

(Price- Unit Cost)/Price= 20% or 0.2

Price- Unit Cost= 0.2 Price

0.8 Price = Unit Cost

Let Unit Cost be x

Price = x/0.8= 1.25x

Dye is 60% of unit costs= 0.6x

Cost of remaining material= 1 - 0.6x = 0.4x

Unit Cost= Cost of Dye+ Cost of remaining material

So, in order to become unprofitable, Unit Cost must be 1.25x

Therefore

1.25x= Maximum cost of dye+ 0.4x

Maximum Cost of Dye = (1.25-0.4)x = 0.85x

Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%

Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.

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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:

A=(2,3,6,10,11)

B=(8,9,14)

C=(19)

(AnBnC) = {7,13}

Step-by-step explanation:

So, basically (n) means intersection which says that the elements of A, B, C being common come under

It is rational because it is a fraction of two integers

-71 and 80 are those two integers

Answer:

Yes, it's rational because it's a fraction that terminates in decimal form.

Answer:

answer is: AB

do you want explanation?

The unit price of the pair of socks is $7.99

Unit price can be described as the price of one item. In this case scenario, we are looking for the unit price of a pair of socks.

The unit price can be calculated as follows

6 pair=47.94

1 pair = x

Cross multiply both sides

6x= 47.94

Divide both sides by the coefficient of x which is 6

6x/6= 47.94/6

x= 7.99

Hence the unit price is $7.99

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Answer:

41

Step-by-step explanation:

Use the associative property of addition to rewrite 9+12+20 .

20+(11+5

Is a way to rewrite the associative property of 9+12(+20)

The solution for the given inequality is -10 < y ≤ -2.

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

The question gives:

17 ≤ -10y -3 ≤ 97

For solving this exercide, you should write the previous compound inequality as:

17  ≤  -10y -3     (1)

-10y -3  ≤ 97   (2)

             17  ≤ - 10y -3

            10y ≤  -3 -17

            10y ≤  -20

            y ≤  -20/10

            y ≤  -2

             -10y -3  ≤ 97

             -10y   ≤ 97 +3

             -10y   ≤ 100 *(-1)

             10y   ≥  - 100

             y   ≥  - 100/10

             y   ≥  - 10

Combining the intervals, you have -10 < y ≤ -2.

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Answer:

Flour 4) 8

Water 2) 24

Salt 2 - 4) 2 and 4

[tex]\bold{Table}[/tex] [tex]\bold{Rule:}[/tex]

[tex]x \times y = z[/tex]

[tex]\mathrm{where~"z"~is~the~next~value}[/tex]

Answer:

(5x-2)^2+(3x+1)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:80 hoka nintch

The dimension of the triangle are base = 18 ft , height = 14 ft .

It is given that height of a triangle is 4 ft less than the base x which can be represented as height = x - 4   ....(2)  and base = x

Putting above values in equation (1) , we get

   [tex]126=\frac{1}{2} \times(x-4)\times x\\252=x(x-4)\\252=x^2-4x\\x^2-4x-252=0[/tex]

On factorizing , we get

  [tex]x^2-(18x-14x)-252=0\\(x^2-18x)+(14x-252)=0\\x(x-18)+14(x-18)=0\\(x+14)(x-18)=0[/tex]

On equating it with zero , we get

  [tex]x+14=0\\x=-14[/tex]

as length cannot be in negative so , we will not consider this solution.

   [tex]x-18=0\\x=18[/tex]

Using equation (2)

Height will be = 18 - 4 = 14 ft.

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Answer:

y = 11°

Step-by-step explanation:

Since it is a right angle, subtract 28 from 90 which equals 62.

Then, use the equation to find that 11 × 6 = 66, subtract 4, and it equals 62 too.

The correct option regarding the continuity of the function at x = 0 is given by:

A. The function is continuous.

The graph is missing, and is given at the end of this problem.

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

From the graph of the function, at x = 0, we have that:

[tex]\lim_{x \rightarrow 0^-} f(x) = \lim_{x \rightarrow 0^+} f(x) = f(0) = 0[/tex]

Which means that the function is continuous at x = 0, hence option A is correct.

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We get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

We are given the function as:

f (x) = √ x² - 2 x - 24

From the graph, the function f (x) = √ x² - 2 x - 24 is increasing over the interval [6, ∞).

Therefore, we get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).

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Answer:

9954

Step-by-step explanation:

ca1cu14t0r

Answer:

The answer for this question is 9,954.

Hope it's helpful :-)

If so, please mark me as brain-list :-)

Answer:

what???

Step-by-step explanation:

Answer:AYO?????

Step-by-step explanation:Nahhhh Jit Trippin