The question is in the picture above ^

Answer:

f(4) = 6

Step-by-step explanation:

Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:

y = mx + b

is the same thing as

f(n) = y = mn + b.

It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.

The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(1) = 1 +2

3 = 3

Now do the same thing for f(4):

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(4) = 4 + 2

f(4) = 6

Answer:

1/6

Step-by-step explanation:

Starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12). After simplification, the final result is 1/6.

Answer:

45 minutes

Step-by-step explanation:

you can disregard the 1:15 pm time

Answer:

45 minutes.

Step-by-step explanation:

You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.

11:45am to 12:30pm

Adding 15 minutes turns 11:45 am to 12:00 pm

Add another 30 minutes, it becomes 12:30 pm.

Calculate the sum of the minutes:

15+30 = 45 minutes.

Answer:

21

Step-by-step explanation:

Answer:

Hey mate.....

Step-by-step explanation:

Hope it helps!

Brainliest pls....

Follow me! ;)

Step-by-step explanation:

The quality or state of being perfect is known as perfection .

hope it is helpful to you

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

Answer:

the answer is 0.16 & -12.16

Answer:

2:9

Step-by-step explanation:

To create the ratio, put the number of students that want pancakes to the number that wants waffles.

Since 2 want pancakes and 9 want waffles, the ratio will be 2:9

So, the answer is 2:9

Answer:

2:9

Step-by-step explanation:

beacause if every 2 students want pancakes and 9 want waffles

Answer:

Step-by-step explanation:

Base = 11 units

height = 2 units

Area = 1/2 × base × height

Area = 1/2 × 11 × 2

Area = 11 sq. units

11 square units is the area of the triangle , option A is correct.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The formula to find area of triangle is half times of base and height

Given Base is 11 units

height is 2 units

Area = 1/2 × base × height

Plug in the values of base and height

Area = 1/2 × 11 × 2

Area = 11 sq. units

Hence, 11 square units is  the area of the triangle , option A is correct.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

Answer:

20%

Step-by-step explanation:

To do this we need to find the total number of marbles

272 + 68 ->  340

Now we divide 340 by 68 to get

68/ 340 = .2

Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100

.2 * 100 = 20%

20% of Jodie's marbles are red

Answer:

draw the perpendicular bisectors of the sides and extend them. The point at which the perpendicular intersects each other will be the circumcenter of that triangle.

Given:

The expression are:

[tex]3x^2+7x-6[/tex]

[tex]2x^2+7x+3[/tex]

To find:

The HCF of the given expression.

Solution:

We have,

[tex]3x^2+7x-6[/tex]

[tex]2x^2+7x+3[/tex]

The factor form of given expressions are:

[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]

[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]

[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]

Similarly,

[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]

[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]

[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]

From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.

Therefore, the HCF of given expressions is [tex](x+3)[/tex].

Answer:

Difference is $3

Step-by-step explanation:

The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.

The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.

The difference between them is 69-66=$3.

So, the difference between how much the two families spent is $3.

Answer:

3$

Step-by-step explanation:

Smith family:

9x4=36

5x6=30

total=66$

Jones family:

3x9=27

7x6=42

total=69$

difference=3$

Answer:

26 sq. ft.

Step-by-step explanation:

So 6 1/2*4

6*4=24, 1/2*4=2

24+2=26

Answer:

Option P √2.5²-1.2²

Step-by-step explanation:

a = distance between Toby's House and the playground = 1.2 inches

b = distance between the playground and Toby's Friend's House = unknown

c = distance between Toby's House and Toby's Friend's House = 2.5 inches

Use the Pythagorean Theorem to calculate the side length of b:

a²+b²=c²

b²=c²-a²

b=√(c²-a²)

b=√(2.5²-1.2²)

Therefore, option P is correct.

Answer: it is p

Step-by-step explanation:

I forget all my vocabulary so hopefully someone else can correct me if the words I use aren't correct. But the following is definitely a function. "Although two x values correspond to a singular y value, the function passes a vertical line test. Meaning that it is ok to have values of x that equal the same y values, however two values of y assigned to the same x value would make the function undefined."

Hope this helps! The only vocabulary in this that you would really need is "corresponding," and (if you learned about it, you may not have yet) "vertical line test"

Answer:

1332 1/4

Step-by-step explanation:

(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4

Answer:

c

Step-by-step explanation:

27

Answer:

The answer to this question should be acute

Answer:

Scalene triangle

Step-by-step explanation:

a scalene triangle has 3 uneven sides

Answer:

[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]

Step-by-step explanation:

Solving it by mid-term break method:

[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Step-by-step explanation:

We'll first factorize the quadratic equations by finding their zero-points:

[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]

Now we can use this to simplify the whole division:

[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Answer:

Step-by-step explanation:

soory i do not kno this one

Answer:

a. Diagonals bisect each other

b. Adjacent interior angles are supplementary

a. Diagonals bisect each other

b. Adjacent interior angles are supplementary

Answer:

A

Step-by-step explanation:

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]

Whereas the area of a circle for a radius r is given as

[tex]\Delta Circle=\pi r^2[/tex]

Now the ratio is given as

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

Answer:

Shape 1 :36

Shape 2 : 18

Step-by-step explanation:

Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36

__________________________________________________________

Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18

Hope this helped! :)

Answer: 591 hours

Step-by-step explanation:

First find out what 2/3 of the water is:

= 2/3 * 24,000

= 16,000 gallons

650 gallons are used per day so the time it takes in days to use the above is:

= 16,000 / 650

= 24.62 days

There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:

= 24.62 * 24

= 590.88

= 591 hours

Find the circumference of the circle:

Circumference = 2 x r x pi

Circumference = 2 x 200 x 3.14

Circumference = 1,256 feet.

4 inches/ 12 inches per foot = 0.333 ft.

Divide the circumference by the spacing:

1255/0.333 = 3,768

You will need 3,768 flowers