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Applying the recursive formula f(n) = f(n-1) + 4 with the initial condition f(1) = 3, we obtain the sequence 3, 7, 11, 15, which corresponds to option D) in the given choices. Optiopn D

To find the values of the sequence defined by the recursive formula f(n) = f(n-1) + 4, with the initial condition f(1) = 3, we can apply the formula repeatedly, starting from n = 2.

Using the given formula, we can calculate the values of the sequence as follows:

f(2) = f(2-1) + 4 = f(1) + 4 = 3 + 4 = 7

f(3) = f(3-1) + 4 = f(2) + 4 = 7 + 4 = 11

f(4) = f(4-1) + 4 = f(3) + 4 = 11 + 4 = 15

The values we obtained are: f(1) = 3, f(2) = 7, f(3) = 11, and f(4) = 15.

Comparing these values to the options provided:

A) 3, 9, 11, 13

B) 3, 8, 10, 12

C) 4, 7, 10, 13

D) 3, 7, 11, 15

We can see that option D) 3, 7, 11, 15 matches the values we calculated using the recursive formula. Therefore, the correct answer is option D).

For more such question on recursive formula visit:

https://brainly.com/question/29386786

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9514 1404 393

Answer:

  3 2/3

Step-by-step explanation:

The mean is the sum of the 6 numbers, divided by 6.

  (8 + 1 + 2 + 6 + 1 + 4)/6 = 22/6 = 3 2/3

Step-by-step explanation:

d = number of dimes

n = number of nickels

q = number of quarters

d + n + q = 500

d×$0.10 + n×$0.05 + q×$0.25 = $72.50

n = d

we are focusing now on one variable (let's try d), and we are transforming the other equations to express the other variable by this one variable.

since n = d we have already

d + d + q = 500

2d + q = 500

q = 500 - 2d

with that we go into the main equation

d×0.10 + d×0.05 + (500 - 2d)×0.25 = 72.50

d×0.15 + (500 - 2d)×0.25 = 72.50

d×0.15 + 500×0.25 - 2d×0.25 = 72.50

d×0.15 + 125 - d×0.50 = 72.50

-d×0.35 = -52.50

d = 52.50/0.35 = 150

n = d = 150

q = 500 - 2d = 500 - 2×150 = 500 - 300 = 200

so, he has 200 quarters.

Answer:

Graphically, the MEDIAN of a density curve is the equal-area point, the point with half the area under the curve to its left and the other half to its right. The quartiles divide the area under the curve into quarters.

Step-by-step explanation:

The median of a density curve is the equal-areas point: the point that divides the area under the curve in half. The mean of a density curve is the balance point, at which the curve would balance if it were made of solid material.

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Answer:  B is the median level

Step-by-step explanation: edge 2023

Answer:

a) -4

b) 1/4

Step-by-step explanation:

a) -4. This is because parallel lines have the same slope.

b) 1/4. This is because the product of perpendicular slopes will be -1. (This can be seen as -4 * 1/4 = -1)

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

2/21

Step-by-step explanation:

1*2 and 7*3

Answer:

328

Step-by-step explanation:

Using the power property of exponent.

On further simplification.

Using the negative power property of exponent.

Cancel out the common factors.

Therefore, the value of given expression is 328.

Answer:

pee on the teacher

Step-by-step explanation:

Answer:

Consider the difference quotient formula.

f(x+h)−f(x)hf(x+h)-f(x)h

Find the components of the definition.

Tap for more steps...

f(x+h)=5h+5x−3f(x+h)=5h+5x-3

f(x)=5x−3f(x)=5x-3

Plug in the components.

f(x+h)−f(x)h=5h+5x−3−(5x−3)h

Step-by-step explanation:

Consider the difference quotient formula.

f(x+h)−f(x)hf(x+h)-f(x)h

Find the components of the definition.

Tap for more steps...

f(x+h)=5h+5x−3f(x+h)=5h+5x-3

f(x)=5x−3f(x)=5x-3

Plug in the components.

f(x+h)−f(x)h=5h+5x−3−(5x−3)h

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values. See Figure 6.

Figure 6

We can observe that the graph extends horizontally from

\displaystyle -5

−5

to the right without bound, so the domain is [−5,∞). The vertical extent of the graph is all range values 5 and below, so the range is (−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range

Answer:

Below

Step-by-step explanation:

-7/3 ( 12q + 1/3r + 6 )

multiply each number in the parentheses separately by - 7/3

- 7/3 ( 12q) = - 84/3 q   or  - 28q

- 7/3 ( 1/3r) = - 7/9 r

- 7/3 ( 6) = -42/3  or - 14

Putting back together you get

-28q - 7/9r - 14

Using the probability concept, it is found that there is a 0.6087 = 60.87% probability of a puppy having no spots.

A probability is the number of desired outcomes divided by the number of total outcomes, that is:

[tex]p = \frac{D}{T}[/tex]

In this problem:

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{14}{23} = 0.6087[/tex]

0.6087 = 60.87% probability of a puppy having no spots.

A similar problem is given at https://brainly.com/question/15536019

Answer:

C

Step-by-step explanation:

From clodest to warmest temperature

-6.1 < -2.5 < -0.4 < 3.4

Answer:

can i have brainlest pls

Step-by-step explanation:

The cost of a cup of tea is t cents.

The cost of a cup of coffee is (t + 5) cents.

The total cost of 7 cups of tea and 11 cups of coffee is 2215 cents.

Therefore,

7t+11t+55=2215

18t=2160

t=120

Answer:

Hello ^-^

Step-by-step explanation:

Answer:

The answer is C, 17 and | -17|

Step-by-step explanation:

We can solve this using the process of elimination.

Looking at the first one, we know that those | | around the 7 mean to find the absolute value. The absolute value is the number of units the number is from zero, and it is always positive. This means that it is saying 7 and -7. Those are opposites, so we know that this isn't right.

17 and -17 are opposites, since the opposite of a positive is a negative.

The last one is the same. 71 and -71 are opposites. That leaves us with C.

Remember that those | | mean to find the absolute value of. -17 is 17 unites from zero. So is 17 the oppostie of 17? No, so these are not opposites, and therefore are our answer.

Answer:

Khan Academy is an American non-profit educational organization created in 2008 by Sal Khan, with the goal of creating a set of online tools that help educate students. The organization produces short lessons in the form of videos. Its website also includes supplementary practice exercises and materials for educators.

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

the only difference between the original problem and the third option is where the parentheses are placed

since the operations are all addition it does not matter which pair of values gets added first because of the associate property of addition

Answer:

x = y + 10

y = x -10

Step-by-step explanation:

For x:

Given: x + 22 = y + 32

Subtract 22 from both sides: x = y + 32 - 22

Answer: x = y + 10

For y:

Given: x + 22 = y + 32

Subtract 32 from both sides: x + 22 - 32 = y

Answer: y = x -10

I think this is what you are asking for?  If not lemme know, have a nice day! :D

(also, this is my 300th answer hehehehe)

Answer:

f(11)  = 48

Step-by-step explanation:

For what value of "t"  will cause the equation to equal 48

5t - 7 = 48    Solve for t

5t = 55

t = 55/5

t = 11

Answer & Step-by-step explanation:

I assume you mean to differentiate the equation.

We will solve using the power rule, where x^n = nx^n-1.

Apply this rule to all three numbers in our equation to get 6x, -1, and 0

Answer:

0.25 - x

Step-by-step explanation:

Answer:

the last graph is correct

Step-by-step explanation:

Answer:

You got it right

Step-by-step explanation:

you need to do y2-y1

                          x2-x1

8-8=0

18-8=10

basically you got it right because its 0/10

Answer:

90+30+2x=180

Step-by-step explanation:

2x is an angle, so we need to find its measure

square symbol at corner of triangle means 90 degrees

we know the angle at the top corner is 30 degrees

the sum of all the angles in a triangle is 180 degrees

so the sum of 90 degrees, 30 degrees, and 2x degrees is 180 degrees

translate it to mathematical format: 90+30+2x=180

Answer:

(4,7),(5,-1),(6,-10)

Step-by-step explanation:

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Answer:

So the functions that are given are the following:

[tex]h(x)=350\\s(x)=(1.04)^{x-1}[/tex]

So in order to find the money in his account, there would have to be a substitution for (x=$350) in the first function, and a place in the second function.