This pattern follows the "multiply by 3" rule. What is the next number in the pattern?

3, 9, 27, 81, ________

The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.

From the task content;

The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.

Read more on polynomial division;

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Answer:

-2.9, -2 3/5, -2.4

Step-by-step explanation:

Convert 3/5 in -2 2/5 to a decimal (3/5x2=6/10=0.6)

Sort it from least to greatest (-2.9, -2 3/5, 2.4)

1/2(2 + 8)(4) and (2 + 3)(4)

area of trapezoid:

[tex]\sf \dfrac{1}{2} (a + b) *h[/tex]

Here:

So area of this trapezium:

[tex]\sf \dfrac{1}{2} (2 + 8) *4[/tex]

[tex]\sf 20 \ units[/tex]

area of rectangle:

length * width

5 * 4

20 units²

Area of trapezoid:-

Put the values

Answer:

[x - 5]² + [y + 7]² = 6²

Step-by-step explanation:

It should be noted:

"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.

When the values are substituted:

[x - 5]² + [y - (-7)]² = 6²

⇒ [x - 5]² + [y + 7]² = 6² = 36

Answer:

3n - 15

Step-by-step explanation:

3 multiplied by n which is 3n

Then 3 multiplied by 5 which is 15

So your answer is 3n - 15

Hope I helped :)

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Using it's concept, it is found that there is a 0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that 13 out of 28 students did not earn an A on the final course, and 21 out of 28 students did not earn an A for the entire course, hence:

[tex]p = \frac{13}{28} \times \frac{21}{28} = 0.3482[/tex]

0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.

More can be learned about probabilities at https://brainly.com/question/14398287

Step-by-step explanation:

since x=3

1. substitute into the equation

g(3) = 1/5 x (1/3)^3

2. solve

g(3) = 1/5 x (1³/3³)

= 1/5 x (1/27)

= 1/5 x 1/27

= 1/135 (0.00740740741)

Answer:

false

Step-by-step explanation:25.9cm is too big to connect to 15.9cm and 10 cm

Answer:

B $13,660.27

Step-by-step explanation:

Answer:

3, 4, and 5, i think

Step-by-step explanation:

because its continious and the other ones arent

Answer:

2,3,5, and 6

Step-by-step explanation:

Answer:

Dude where is your picture?

Step-by-step explanation:

Answer:

could you add more details? you only put ¨ if M¨

Step-by-step explanation:

Answer:

[tex]if \: m \: then \: m \: can \: be \: any \: variable.[/tex]

Answer:

App. percent decrease of 29.41%

Step-by-step explanation:

60-85/85=0.2941- 29.41%

Answer:

y= -6x - 15

Step-by-step explanation:

First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.

Just took the exam and the answer is c :)

Step-by-step explanation:

P×R×T/100

39.50×11×0.5/100

195.25/100

1.9525

ANSWER

14.3

EXPLANATION

angle = 21⁰

opposite side = 5.5

adjacent side = x

Knowing this, we must use tangent (opposite / adjacent)

tan (21⁰) = 5.5 / x

x = 5.5 / tan (21⁰) (use calculator)

x= 14.3

Answer:

0.05

Step-by-step explanation:

Common difference  = 2nd term - 1st term

                                   = 6.1 - 6.05

                                   = 0.05

Answer:

First multiply 30.75 by 0.06 to get a total of about 1.85 . Then and 1.85 to 30.75 to get 32.60.

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

When the balloons collide, they have the same x and y:

-3x^2 + 24x + 3 = y = -4x^2 + 25x + 15

Rearranging like terms together:

(4x^2 - 3x^2) + (24x - 25x) + (3 - 15) = 0

x^2 - x - 12 = 0

(x - 4)(x +3) = 0

x = 4 or -3

As x represents time, it cannot be negative.

The time when the balloons collide is at 4.00 seconds.

The collision means that y is equal

So

As it's time so must be positive

Answer:

0.77

Step-by-step explanation:

correct me if im wrong this is just what i got

Answer:

4x8x4x1x67 it's that cuz I learned

Answer:

The solution of (2,5) indeed equals the solution of the equation y=2x+1

Step-by-step explanation:

to solve just plug in the values.

y=2(2)+1 which gives us the y value of y=5

to solve for x, plug in y. 5=2x+1.

subtract 1 from both sides, and you get 4=2x

then divide 2 on both sides to get x, which is 2. therefore this is true.

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The relationship between the variables x, y and z is an illustration of similar triangles

The values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]

Right triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle

[tex]x : 9 = 4 : x[/tex]

Express as fraction

[tex]\frac x9 = \frac 4x[/tex]

Cross multiply

[tex]x^2 = 36[/tex]

Take the square root of both sides

[tex]x = 6[/tex]

The value of y is then calculated using the following Pythagoras theorem

[tex]y = \sqrt{9^2 + x^2[/tex]

This gives

[tex]y = \sqrt{9^2 + 6^2[/tex]

[tex]y = \sqrt{117[/tex]

The value of z is then calculated using the following Pythagoras theorem

[tex]z = \sqrt{4^2 + x^2[/tex]

This gives

[tex]z = \sqrt{4^2 + 6^2[/tex]

[tex]z = \sqrt{52[/tex]

Hence, the values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]

Read more about triangles at:

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Answer:

they are

Step-by-step explanation:

the simplest form 8/18 is 4/9

Answer:

[tex]=\frac{27}{125}[/tex]

Step-by-step explanation:

[tex]0.216[/tex]

[tex]\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}[/tex]

[tex]\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000[/tex]

[tex]=\frac{0.216\cdot \:1000}{1000}[/tex]

[tex]=\frac{216}{1000}[/tex]

[tex]216,\:1000[/tex]

[tex]\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}[/tex]

[tex]2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3[/tex]

[tex]2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5[/tex]

[tex]\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}[/tex]

[tex]=2\cdot \:2\cdot \:2[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8[/tex]

[tex]=8[/tex]

[tex]=\frac{8\cdot \:27}{8\cdot \:125}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:8[/tex]

[tex]=\frac{27}{125}[/tex]

Hence, the correct answer is [tex]=\frac{27}{125}[/tex]

Step-by-step explanation:

just add all the given angles and equate it with 540° and then find x

x/2 + x/2 + x - 25 + 100 + x - 15 = 540°

3x + 60 = 540°

3x = 540 - 60

x = 480/3

x = 160°

on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.

Answer:

Hey there!

9) Answer: D. :---- (x +8)(x-8)

10) Answer: P. :------(x-2y)^2

11) Answer: D. :-----(2a+3b)*(2a-3b)

12) Answer: P. :-----(a+4b)^2

13) Answer: P. :-----(x-3)^2

14) Answer:. D. :----(5xy+9z)*(5xy-9z)

15) Answer: P. :-----(2a+1)^2

16)Answer: D. :---(4ab+5)*(4ab-5)

Answer:

The pyramid consists of 4 triangles having bases of 3 km and height of 4 km (measured along the face)

A = 4 * 3 / 2 * 4 = 24 km^2

Each triangle has an area of 1/2 * bottom length * height

3 cannot refer to the length of one of the isosceles triangles because a slant height of 4 km is given and is less than one such side

The surface area of the square pyramid is 24 km².

The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.

Mathematically, it can be expressed as:

Surface Area S.A = P × l/2

where;

Surface Area (S.A) = 12 × (4/2)

Surface Area (S.A) = 24 km²

Learn about calculating the surface area of a square pyramid here:

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Answer:

The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

Step-by-step explanation:

Answer: x > [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

-4x + 5 < -5

Subtract 5 from both sides

-4x < - 10

Divde each side by -4

x < -10 / -4

Dividing each side by a negative number flips the inequality

x > - 10 / -4

- 10 / -4 = 10 / 4 = 5/2

x > 5/2

Answer:

-4x+5<-5

-4x<-5-10

-4x<-15

-4x/-4>-15/-4

x>15/4