Which type of angle is < 3 ?

The recursive formula will be equal to f(n + 1) = –2 f(n).

The complete question is given below:-

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, –6, 12, –24, 48, …

f (n + 1) = –3 f(n )

f (n + 1) = 3 f(n )

f (n + 1) = –2 f(n )

f (n + 1) = 2 f(n)

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The recursive formula for this sequence is calculated as we will put the different values of n to find the values of the function in the series.

n  =  1

f(n) = 3

n = 2

f(2) = -2 (3) = -6

n = 3

f(3) = -2 (-6) = 12 and so on

Therefore the recursive formula will be equal to f(n + 1) = –2 f(n).

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The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

The equation of a line in pint slope form is expressed as:

y - y1 = m(x-x1)

where

m is the slope = -6

(x1, y1)  is the point = (-5, -9 )

Substitute into the formula

y - (-9) = -6(x -(-5))

y +9 = -6(x+5)

Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

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The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

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Answer:

2000 imports is the best i think

Answer:

height = 7

Step-by-step explanation:

[tex]2\cdot\frac{42}{8.7 + 3.3} = 7[/tex]

The perimeter of the sector = 47.905 cm

47.905 cm is greater than 47.5 cm.

Perimeter of a sector = Arc length + 2(radius).

Arc length = ∅/360 × 2πr

Given the following:

Perimeter = (∅/360 × 2πr) + 2(r) = (135/360 × 2×π×11) + 2(11)

Perimeter = 25.905 + 22

Perimeter = 47.905 cm

Thus, the perimeter of the sector (47.905 cm) is greater than 47.5 cm.

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Answer:

2 solutions   x = 3 y = -2.

Step-by-step explanation:

x + 2y = –1

2x + 3y = 0

Multiply first equation by -2:

-2x - 4y = 2      Adding this to second equation:

       - y = 2

y = -2.

Plug this into first equation:

x - 4 = -1

x = 3.

Step-by-step explanation:

in a parallelogram we have 2 equally large angles and 2 equally small angles.

the sum of all 4 angles must be 360°.

so let's first determine what angles are together 204°.

if it would be 2 neighboring angles, it would be the sum of a large and a small angle.

and the sum of the remaining 2 angles would be the same (again 204°).

but that that would together be 408°. too much.

so, it can only be that the 2 given angles are a pair of equal angles. and each would be

204/2 = 102°

as they are larger than 90°, they are the large angles in the parallelogram.

so, the other 2 angles are the pair of equally large small angles. together they have

360 - 204 = 156°

and each one is then

156/2 = 78°

Answer:

Any more information to the problem?

Step-by-step explanation:

Answer: y = -8

Step-by-step explanation:

Lines that have a slope of Zero means that the line is horizontal and y is always the same. So your equation is y = -8

Answer:

y = - 8

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (0, - 8 ) with y- coordinate - 8 , then

y = - 8 ← equation of line

The height of the right cone is 10.68 unit

Volume is defined as the space occupied by a three dimensional object.

Volume of a right cone is given  by

V = π r²h/3

C = 2 π r

r = 247/2 π

3 * 17287 =  π  r²h

3 * 17287 =  π *(247/2 π )²h

h = 51861 *π *4/61009

h = 10.68 unit

Therefore the height of the right cone is 10.68 unit.

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Answer:

82+41=awnser

Step-by-step explanation:

82+41= smart

Answer:

Good style in solving such problems is to notice/(to observe) immediately from the condition that the difference

   between two combinations is  the cost of 2 cookies,  and it is equal to  $9 - $7 = $2.   So  2 cookies cost  $2.

   Then subtracting $2 dollars for 2 cookies from the Greg purchase, you got the cost of two bottles - it is equal to  $7 - $2 = $5.

   Answer.  A bottle of water costs  $2.50.

Step-by-step explanation:

Answer:

There are infinitely many solutions to the system because the equations represent the same line

Choices B, C, and D are correct. Nice work.

Further explanation:

Answer:

D. 3

Step-by-step explanation:

Answer: The answer is B.

Step-by-step explanation: An open circle means < or >. A closed circle means lesser or equal to or greater or equal to. The open circle is on 4 and the ray is going right. The closed circle is on 0 and the ray goes left. This is correct.

The 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The radius is the double the diameter.

The longest chord in the circle is diameter.

The angle formed at the centre is known as centeral angle.

Thus, the 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.

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Step-by-step explanation:

angle 2+40=180

angle 2=180-40

angle 2=140

the answer Is 140 degree

Answer:

x=95

Step-by-step explanation:

First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.

Answer:

137,114

Step-by-step explanation:

First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.

Answer:

3 I think.

Step-by-step explanation:

5 would be broken up to 2 groups of 2 and 1 group of 1.

In 20 different ways 5 dessert courses can be arranged taken 2 at a time.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, There are 5 dessert courses in a restaurant and they will be presented two at a time in an order.

Here we have to use permutation as order matters.

Now, the permutation of 5 different things taken 2 at a time is,

= [tex]^5P_2[/tex].

= 5!/(5 - 2)!.

= 5!/3!.

= 5 × 4.

= 20 different ways.

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Answer:

3rd Option    -     3(x-4) = 6x

Step-by-step explanation:

To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :

[tex]\frac{3}{x} = \frac{6}{x-4}[/tex]   ----->  [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)

Now to remove x-4 under 6x we do the following :

[tex]{3}= \frac{6x}{x-4}[/tex]   ------> [tex]3(x-4)= {6x[/tex]

Therefore giving our answer as the 3rd option.

Hope this helped and have a good day

The possible orders in which Elliott can do these tasks is 24

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

P(n,r) = n! / (n-r)!

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD  ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

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Answer:

xavier

Step-by-step explanation:

in a number line full of negative and positive the farther down left you go the lower it get. the farther down right you go the higher it get. this is the same in the negative section even though you may think because 12 is a bigger number then seven in the negatives that rule is flipped. Hopes this helps?

Answer x= 30

M angle A = 85

M angle C = 45

Reason - see picture for the math

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

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