If f(1)= 1, f(2)=3, and f(n) =2f (n-1) -f (n-2) then find the value of f (5).

Answer:

24x^7 = 24x^7

Step-by-step explanation:

Left side of equation: 3 times 8 times X = 24x

Then you raise it to the 7th power

Right side of the equation: 6 times 4 times X = 24x

Since the exponent is the same, you keep it as the 7th power

The lengths of the sides of the right triangle that is formed are x-h and y - k

The triangle contained within the circle is a right angled triangle with the longest side as the hypotenuse.

Given the coordinate points (h, k) and (x, y), the lengths of the sides of the right triangle is equal to the difference between the x-ccordinate points and y-coordinate points

For the x-coordinstes

a = x - h

For the y-coordinate

b = y - k

Hence the lengths of the sides of the right triangle that is formed are x-h and y - k

Learn more on unit circle here: https://brainly.com/question/23989157

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Answer:

The angle is 1/4 the circumference is the arc

Step-by-step explanation:

To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.

At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.

To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:

The central angle of arc / total angle at the centre of the circle

= π/2 ÷2π

=[tex]\pi/2 \times \frac{1}{2\pi}= 1/4[/tex]

Therefore the angle is 1/4 the circumference is the arc

Answer:

Area of the rectangular Field = 3 8/9 km²

Step-by-step explanation:

Length of the field = 2 1/3 km

Width of the field = 1 2/3 km

Area of a rectangular Field = length × width

= 2 1/3 × 1 2/3

= 7/3 × 5/3

= (7*5)/(3*3)

= 35/9

Area of the rectangular Field = 3 8/9 km²

Perimeter of the rectangular Field = 2(length + width)

= 2(2 1/3 + 1 2/3)

= 2(7/3 + 5/3)

= 2(7+5/3)

= 2(12/3)

=2(4)

= 8 km

Perimeter of the rectangular Field = 8 km

Answer:

18 and 6

Step-by-step explanation:

Rn = 6   Ratio numerator

Rd = 2 Ratio Denominator

Rs = Rn + Rd

Rs = 6 + 2

Rs = 8

Ratio Sum

a = 24 Amount to Divide

M = a ÷ Rs

M = 24 ÷ 8

M = 3 Multiplier Ratio Division Calculation

Rr = Rn × M : Rd × M

Rr = 6 × 3 : 2 × 3

Rr = 18 : 6

Answer:C=2πr=2·π·2≈12.56637in

Step-by-step explanation:

Answer:

if im correct, x = 64

Step-by-step explanation:

since a triangle's angles must sum to 180°, i subtracted 52 from 180 which gave me 128. then, i divided 128 in two so that it could equal to both of the sides of the triangle.  128/2 = 64

Answer:

12

12x8=96, 96+19=115  

hope it helps

the answer is x-5........

Answer:

The coordinates of the vertices of triangle A'B'C' are [tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex] and [tex]C'(x,y) = (3,-5)[/tex].

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

[tex]A'(x,y) = A(x,y) +(0,-5)[/tex] (1)

[tex]B'(x,y) = B(x,y) +(0,-5)[/tex] (2)

[tex]C'(x,y) = C(x,y) + (0,-5)[/tex] (3)

If we know that [tex]A(x,y) = (0,1)[/tex], [tex]B(x,y) = (2,4)[/tex] and [tex]C(x,y) = (3,0)[/tex], then the new  vertices of the rectangle are, respectively:

[tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex], [tex]C'(x,y) = (3,-5)[/tex]

Answer:

The measure of angle E is 45 degrees

Step-by-step explanation:

To get the measure if angle E, we use the appropriate trigonometric ratio

From the question, EF is the hypotenuse since it faces the right angle

EG is adjacent to angle E

so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse

This trigonometric ratio is the cosine

It is the ratio of the adjacent to the hypotenuse

Thus,

we have it that;

Cos E = EG/EF

cos E = 6√26/12√13

E = arc Cos ( 6 √26/12 √13)

E = 45 degrees

Answer:

nmn

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

initial cost + hourly rate (number of hours)

$5 + $3 x 4

$5 + $12

= $17

Answer: x≥14/3

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

x+5-4x+5≤−4

-3x≤-14

3x≥14

x≥[tex]\frac{14}{3}[/tex]

Answer:

54 units squared

Step-by-step explanation:

hope this helped!

Step-by-step explanation:

i Think its 5 not sure thi

Answer:

Probability is a mathematical term for the likelihood that something will occur. It is the ability to understand and estimate the likelihood of any different combination of outcomes. Let’s discuss some real-life examples of Probability 1. Weather Forecasting Before planning for an outing or a picnic, we always check the weather forecast.

Step-by-step explanation:

Answer:

1017.9

Step-by-step explanation:

Find the area of the circle on top first using 3.14*r^2

3.14*9^2 = 254.5

Multiply this number by the height, 4

254.34*4 = 1017.9

Answer:

28 yd²

Step-by-step explanation:

find the two biggest sides

2x4

8 but there are two sides...

8*2= 16

*16*

now side panels

1x4

4 but there are two

4*2= 8

*8*

top and bottom panels

2x1

2 but there are two

2*2= 4

*4*

add them up

16 + 8 + 4= 28  

Answer:

[tex]10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3[/tex]

Given:

The statement is "Five times the difference of the cube of y and the square of x".

To find:

The algebraic expression for the given statement.

Solution:

We know that,

Cube = Power 3

Square = Power 2

Difference = Minus (-)

Times = Multiplication (×)

Now,

Cube of y = [tex]y^3[/tex]

Square of x = [tex]x^2[/tex]

Difference of the cube of y and the square of x = [tex]y^3-x^2[/tex]

Five times the difference of the cube of y and the square of x is:

Required expression = [tex]5(y^3-x^2)[/tex]

Therefore, the correct option is C. The required algebraic expression for the given statement is [tex]5(y^3-x^2)[/tex].

Answer: 8 patties

Step-by-step explanation:

There are 2 pounds of beef and Neil wants to use these to make patties that are 1/4 pounds each.

The number of patties that can be made are:

= Pounds of meat available ÷ Pound needed per patty

= 2 ÷ 1/4

= 2 * 4/1

= 8 patties

Answer:

95.03

Step-by-step explanation:

half the radius- 11/2=5.5

A=πr^2

=πx5.5^2

Answer:

See explanation

Step-by-step explanation:

1 = b (0,-2)

2 = b (0,1)

6 = a (3,0)

7 = a (-2,2)

Answer:

1.) B

2.) B

6.) A

7.) A and B

Step-by-step explanation:

Insert the ordered pairs into their places( x's with x's and y's with y's) until you get the answer to the left of the equal sign

1.) 7x-2y =4

B. (0,-2)       7(0) - 2(-2) = 0 + 4 = 4 Correct

2.) 3x + 5y = 5

B. (0,1)       3(0) + 5(1) = 0 + 5 = 5 Correct

6.) x - 3y = 3

A. (3,0)      3 - 3(0) = 3 - 0 = 3 Correct

7.) 3x - 2y = -10

B. (0,5)    3(0) - 2(5) = 0 - 10 = -10 Correct

A. (-2,2)   3(-2) - 2(2) = -6 -4 = -10 Correct

Answer:

BC = 10 units

Step-by-step explanation:

From the picture attached,

It's given that AD and BE are the parallel sides.

AC and DC are the transversal lines intersecting the parallel lines.

In ΔADC and ΔBEC,

∠DAC ≅ ∠EBC [Corresponding angles]

∠ADC ≅ ∠BEC [Corresponding angles]

ΔADC ~ ΔBEC [By AA property of similar triangles]

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

[tex]\frac{AC}{BC}=\frac{DC}{EC}[/tex]

[tex]\frac{AB+BC}{BC}=\frac{DE+EC}{EC}[/tex]

[tex]\frac{2.5+BC}{BC}=\frac{2+8}{8}[/tex]

[tex]\frac{2.5}{BC}+1=\frac{10}{8}[/tex]

[tex]\frac{2.5}{BC}=\frac{5}{4}-1[/tex]

[tex]\frac{2.5}{BC}=\frac{1}{4}[/tex]

BC = 10

Answer: 2^12

Step-by-step explanation:

Answer: 4096

Step-by-step explanation: