how do Translate 4n = x(5 –n) into a sentence.

Answer:

Tn = 2n+4

T20 = 44

Step-by-step explanation:

Given Sn = n²+ 5 n-6

Tn = Sn - Sn-1

Sn-1 = (n-1)² + 5(n-1) - 6

Tn = n²+ 5n-6 - ((n-1)² + 5(n-1) - 6))

Tn = n²+ 5n-6-(n²-2n+1+5n-5-6)

Tn = n²+ 5n-6-n²+2n-1-5n+5+6

Tn = 2n-7+11

Tn = 2n+4

Get the general term is 2n+4

To get the 20th term;

T20 = 2(20) + 4

T20 = 40+4

T20 = 44

Hence the 20th term of the sequence is 44

Answer:

13

Step-by-step explanation:

Let PS = x and RP = x-5

Using Pythagorean theorem on the two smaller rt triangles formed,

6^2 + x^2 = (ST)^2

6^2 + (x-5)^2 = (RT)^2

Now use Pythag on big triangle and sub in above values:

(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2

Multiply out and simplify to

x^2 - 5x -36 = 0

Factor the quadratic: ((x-9)(x+4)=0  Therefore x=9 or x=-4.  We may disregard the negative answer so x = 9.  So PS is 9 and RP is 4.

Therefore entire hypotenuse is 4 + 9 or 13.

Answer:

-197

Step-by-step explanation:

x1-xx-1-1÷x

-14(1)+14(-14)-1-1÷-14

-14-196-1(-1÷-14)

-211+14

-197

Answer:

x-1, x, 1-x, -1/x

Step-by-step explanation:

Answer:

C y = 7x +19

Step-by-step explanation:

There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.

An example is 1 minute.

Y = 7(1) + 19

y = 7 + 19

y = 26

You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.

Hope this helps. :)

Answer:

I think the answer is A hopefully this helps

Answer:

y = - [tex]\frac{2}{3}[/tex] x - 7

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

( - 6, - 3 )

( - 3, - 5 )

m = [tex]\frac{-5+3}{-3+6}[/tex] = - [tex]\frac{2}{3}[/tex]

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

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

y = - [tex]\frac{2}{3}[/tex] x - 7

Answer:

[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]

Step-by-step explanation:

The question is poorly formatted.

Given

[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]

Required

Derive an equivalent expression

[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]

Express 18 as 9 * 2

[tex]\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}[/tex]

Split the expression as follows:

[tex]\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}[/tex]

Take positive square root of 9

[tex]\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}[/tex]

[tex]\sqrt[3]{2y^3} * 21 * \sqrt{2y}[/tex]

[tex]21*\sqrt[3]{2y^3} * \sqrt{2y}[/tex]

The cube root can be rewritten to give:

[tex]21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}[/tex]

[tex]\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y[/tex]

So, we have:

[tex]21*\sqrt[3]{2} * y * \sqrt{2y}[/tex]

Rewrite as:

[tex]21y *\sqrt[3]{2} * \sqrt{2y}[/tex]

Split [tex]\sqrt{2y[/tex]

[tex]21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}[/tex]

Collect Like Terms

[tex]21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}[/tex]

Represent in index form

[tex]21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}[/tex]

Apply law of indices

[tex]21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }[/tex]

[tex]21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}[/tex]

[tex]21*y^{\frac{3}{2}} *2^{\frac{5}{6}}[/tex]

[tex]21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]

Hence:

[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]

Answer:

The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875

Step-by-step explanation:

The given parameters are;

The number of students in the sample, n = 8

The number of the students, x, that exhibit higher IQ's than the median = 5

The probability of obtaining the given result by chance is given as follows;

P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ

The probability that a student exhibit higher IQ's than the median = 0.5 = p

Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q

Substituting the known values, gives;

P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875

Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.

Answer:

You need to insert different x values and plot the point. So let's say x=1 the answer would be 10 and for 2 it would be 17

Answer:

B

Step-by-step explanation:

The triangle which shows the new location would be Triangle B.

From the coordinates of XYZ transformed to coordinates of triangle X'Y'Z', we can see that the transformation pattern is;

(x, y) -----> (-y, x)

Consider the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation, Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 2: If the point is in second quadrant:

Subcase: Clockwise rotation, Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

On origin, No effect as we assumed rotation is being with respect to origin.

Now, this pattern of transformation occurs when Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure.

However, the other rotation that can be used to achieve this is a 270° counterclockwise rotation. so the correct option triangle is B.

Read more about rotation at;

brainly.com/question/4289712

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Answer: Cada cuaderno cuesta 20, y el libro 120.

Step-by-step explanation:

Vamos a definir:

L = precio de un libro

C = precio de un cuaderno.

Sabemos que Diego compro un libro y tres cuadernos por 180, entonces tenemos:

1*L + 3*C = 180

También sabemos que el libro costo el doble de lo que costaron los 3 cuadernos juntos, entonces:

L = 2*(3*C) = 6*C

Tenemos un sistema de ecuaciones:

1*L + 3*C = 180

L = 6*C

Para resolverlo, podemos reemplazar la segunda ecuación en la primera, para así obtener:

1*(6*C)  + 3*C = 180

6*C + 3*C = 180

9*C = 180

C = 180/9 = 20

Cada cuaderno costo 20.

Y el precio del libro se puede obtener con la ecuación:

L = 6*C = 6*20 = 120

El libro costo 120

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

Answer:

$2 each ticket is 2 dollars

Answer:

The maximum price per share is $250 and it happens after 10 days of trading.

Step-by-step explanation:

The performance of a stock is modeled by the function:

[tex]P(d)=-2.5d^2+50d[/tex]

Where d is the number of days of trading and P is the price per share.

To find the maximum price, we use the first derivative:

[tex]P'(d)=-5d+50[/tex]

Equating to zero:

-5d+50=0

Solving for d:

-5d = -50

d = -50/(-5) = 10

d = 10

The price for d=10 is:

[tex]P(10)=-2.5*10^2+50*10[/tex]

[tex]P(10)=-2.5*100+500= 250[/tex]

The maximum price per share is $250 and it happens after 10 days of trading.

Step-by-step explanation: -6.3 x 8 = -50.4

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

no number line is shown so this answer is improvible

Answer:

$442

Step-by-step explanation:

Multiply the sales price by the discount percentage. This is the total discount that was taken off.

$520 x 15% = $78.

Subtract the discount amount from the sales price. This gives you the amount that the computer costs after the discount.

$520 - $78 = $442

The computer costs $442.

4x+8y=16

4x/4+8y/8=16÷4/8

x+y=16×8/4

x+y=16×2

x+y=32

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.

By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

To learn more on rational functions: https://brainly.com/question/27914791

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Answer:

Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)

Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)

Step-by-step explanation:

100% on the test

Answer:

21.74 But if it tells you to round I would round to 21 lbs

Step-by-step explanation:

its basically just a ratio of 92 to 20

92/20=4.6

92-20=72% the amount that is lost

so given that the plum is 100 lbs we know that 72% is depleted

(72/92 = .78)X100= 78 lbs depleted

Lastly 100-78 =22 for the remaining weight of the prunes.

Answer:

well if you're looking for angles then

angle ADB = 30°

angle CBD = 80°

angle CDB = 120°

but they asked to classify triangle ADC ,whose measurements are 90° , 40° and 50° ...so of they're asking what type of triangle then it is a right angled triangle.

Answer:

Triangle ADC is a right triangle.

Step-by-step explanation:

Triangles Classification

An acute triangle is a triangle with three acute angles or with less than 90° each.

An obtuse triangle has one obtuse angle or more than 90°.

A right triangle has one right angle of 90°

From the figure, we can see angle D is marked as a right angle (90°), thus triangle ADC is a right triangle.

To complete the answer, triangle ADB is obtuse (has an angle of 100°), and triangle ABD is acute.

Answer:

A. Increasing

Step-by-step explanation:

According to the graph, we see that as the x-values increase, the y-values also increase. Therefore, the entire graph is increasing.

Answer:

63/88

any more help just ask

Answer:

c

Step-by-step explanation:

bc it is

Answer:

I’m guessing D

Step-by-step explanation:

As the perpendicular would be -4 the negative reciprocal. I just worked out the whole equation including the point it passes.

Answer:

-6

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph [tex]y=(x-3)^2[/tex] is  x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

[tex]x=3-4\\x=-1[/tex]

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly

Answer:

[tex]10x - 5[/tex]

Step-by-step explanation:

Combine like terms

Answer:

aww I find this so cutee

Step-by-step explanation:

Merry Christmas :) :) ^ ^

Answer:

its past t but it never too late to celebrate christmas happy christmas past and future

Step-by-step explanation:

Answer:

1) =3

2)and 3) y-3x-2

Step-by-step explanation:

Hope that help!!!!!!!!!!!!!!!!!!!!!!!!!!!!