A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
13
оооо
31
О 34

Answers

Answer 1

Answer:

Since f(n + 1) = f(n) - 3, we can also say that f(n - 1) = f(n) + 3.

By which we can say f(n - 3) = f(n) + 9

Since f(4) is 22, then f(1) must be 22 + 9, or 31.


Related Questions

Can someone please help me solve this

Answers

Answer:

[tex]m\angle1=75^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].

Solution 2:

Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:

[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]

Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].

Will mark brainliest!! Please do the two in green using cos!!

Answers

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]

Number 2:

[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]

The height of a tree is one-half of the height of a tower.
Let m be height of tower. Write a variable expression for the height of tree.

Answers

Answer:

If d is the height of the tree: d = 1/2m

Step-by-step explanation:

find the h.c.f of 6,9 and 12​

Answers

Answer:
3

Step-by-step explanation:

Answer:  3 is the HCF of 6,9 and 12

coz 3 is divisible by all the numbers above

Hope it helped u,

pls mark as the brainliest

^_^

Can someone do b and c for me please 10 points!!

Answers

Given, a=-3

a) 2a= 2 × -3 = -6

b) a^2= (-3)^2= 9

c) 3a^2= 3 × (-3)^2 = 3 × 9 = 27

Hope it helps uh.

first you do multiply both the a because a is in square then a x a so (-3 x-3) =6 answer is 6

then next is c

3a sq OK

3a sq = (3x-3) -3 x-3

answer is 81

determine the promotional price of each item at each store

Answers

Answer:

Step-by-step explanation:

Original price of the music box = $80

Price after 20% discount = Original price - discount

                                         = 80 - 20% of 80

                                         = 80 - [tex](\frac{20}{100}\times 80)[/tex]

                                         = 80 - 16

                                         = $64

Price after 40% discount = 80 - 40% of $80

                                         = 80 - 32

                                         = $48

Original price of A faux Ming vase = $60

Price after 20% discount = Original price - discount

                                         = 60 - 20% of $60

                                         = 60 - 12                                    

                                         = $48

Price after 40% discount = Original price - discount

                                         = 60 - 40% of 60

                                         = 60 - 24

                                         = $36

Values of two different linear functions are given.

What is the solution to the equation f(x)=g(x)?

Answers

Answer: are there possible choices to choose from

Step-by-step explanation:

Which of the following is NOT equal to sin pi/3

A) sin 2pi/3
B) cos pi/6
C) cos 11pi/6
D) sin 4pi/3

Answers

Answer:

D)  [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]

Step-by-step explanation:

A)

[tex]sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}[/tex]

B)

[tex]cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]

C)

[tex]cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]

D)

 [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]

pls i need help due tonight

Answers

Answer:

-3/4

Step-by-step explanation:

-1 1/4 = -5/4

1/2 = 2/4

-5 + 2 = -3

-3/4

Answer: The answer is -3/4

Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.

the quotient of 6 divided by the difference of 6 minus 3

Answers

9514 1404 393

Answer:

  6/(6-3) = 2

Step-by-step explanation:

The expression is written as ...

  [tex]\boxed{\dfrac{6}{6-3}}[/tex]

It evaluates as ...

  [tex]\dfrac{6}{6-3}=\dfrac{6}{3}=\boxed{2}[/tex]

5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,​

Answers

Answer:

what are you supposed to do here?

Step-by-step explanation:

If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?

Answers

Answer: It would be 43 mittens

Step-by-step explanation:

Find the area of this rectangle.
8 cm
11 cm

Answers

Answer:

88 cm squared

Step-by-step explanation:

To find area, you multiply the 2 side lengths with each other. So for this problem, you would do 8 times 11.

Answer:

88 cm

Step-by-step explanation:

The formula to find the area of a rectangle is base × height.

base = 11cm, height = 8cm

11 × 8 = 88cm

At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?

Answers

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

A 12 foot ladder leans against a building at a 75 degree with the ground. Which equation below can be used to find how high the ladder reaches up the side of the building

Answers

Answer:

[tex] \huge\boxed{\sin(75°) = \frac{x}{12}} [/tex]

(B) is the right answer.

sin(¢)=perpendicular/hypotenuse

A 12 foot ladder leans against a building at a 75 degree with the ground. Therefore ladder reaches approximately 11.59 feet up the side of the building.

Trigonometry, specifically the sine function, may determine how high the ladder is up the building. A right triangle's sine is the ratio of the opposing side's length to the hypotenuse. The ladder is the hypotenuse of the right triangle, and we want to find the ladder's height up the building's side.

Let's call the height h. The given information is that the ladder (hypotenuse) is 12 feet, and the angle between the ladder and the ground is 75 degrees.

Using the sine function:

sin(75 degrees) = opposite / hypotenuse

sin(75 degrees) = h / 12

Now, we can solve for h:

h = 12 × sin(75 degrees)

Using a calculator:

h = 12 × 0.96592582628 = 11.59 feet

So, the ladder reaches approximately 11.59 feet up the side of the building.

To know more about Trigonometry

https://brainly.com/question/13729598

#SPJ2

Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2

Answers

Answer:

the answer is b i hope it helps

What is 1+1=? HELP PLS

Answers

The answer is 2

See 1 +0 is 1 so 1+1=2

Find the value of b help me please

Answers

Answer:

[tex] b = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} [/tex]

Answer:

sqrt(2)

Step-by-step explanation:

Solve the system by graphing x+y=2 and x-3y=18

Answers

(6,-4) that’s what I assume

What is greater? 50 ppm (parts per mile) or 1.1 meters?

Answers

50 ppm BZBDBDBDBDHDJ

what is the y-intercept in this equation f(x) = 4x2 – 3x + 1​

Answers

Answer:1

Step-by-step explanation: it’s always at the end of a linear equation

The answer above is correct

Which is greater: pi or -3?

Answers

Answer:

> -3

Step-by-step explanation:

Pi can be simplified down to 3.14. That is a positive number. -3 is a negative number. Because positive numbers are greater than negative numbers, pi > 3.

Answer:

Pi

Step-by-step explanation:

pie is 3.14 which is a positive number

any positive number is greater than a negative number. pi>-3

In the same circle or in congruent circles:
13
Chapter Reference
In the plane, if a line is perpendicular to a circle's radius at its outer endpoint, then the
line is ... to that circle
You have 1 attempt left to earn the full credit for this problem.
Answer: In the plane, if a line is perpendicular to a radius at its outer endpoint, then the line is Diames
to the circle
Diameter
GRADE ANSWER INCORRECT
Parallel
Secant
Symmetric matting?
Tangent

Answers

Tangent is the answer

Answer:

tangent

Step-by-step explanation:

Hope this helps

What is the value of the expression 3y−4 when y = 2?

Answers

Answer: 2

Step-by-step explanation:

we simply plug in 2 for y.

3(2) - 4

6 - 4

6 - 4 = 2

Answer:

3y-4=2

3×2-4

=6-4

2 the value of y is 2

can someone help with 9-12 please ?

Answers

Answer:

9-12 is -3

Step-by-step explanation:

find the number if 3 1/3 of it is 10

Answers

Answer:

3

Step-by-step explanation:

3×3=9+1=10

10/3×3=10

John takes out a loan for $12,000 at a simple interest rate of 4.5% to be paid back in 36 month lease documents what is the amount of monthly payments

Answers

Answer:

$31,400(payment for 36 months)

Step-by-step explanation:

4.5% of 12000 is 540.

540×36=19,440

19,440+12000=31,440

Find the missing angle.

Answers

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

he points in the table lie on a line. What is the slope?

Answers

The slope is -3/4
Slope formula (y2-y1)/(x2-x1)

Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas​

Answers

Answer:

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Step-by-step explanation:

Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:

[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

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