In a section of a baseball stadium, there are 11 seats in the first row. There are 15 seats in the second row, 19 seats in the third row, and
23 seats in the fourth row.
If the number of seats in each row follows the pattern described above, which recursive function defines the number of seats in the nth row?
A. f(1) = 11
f(n) = 4.f(n - 1), for n > 2
B. f(1) = 4
f(n) = f(n - 1) + 11, for n > 2
C. f(1) = 11
f(n) = f(n − 1) + 4, for n > 2
D.
f(1) = 4
f(n) = 11. f(n − 1), for n > 2

Answer:

Step-by-step explanation:

A linear equation can be written in the form

y = mx+b.

y = x² is not linear.

Answer:

Exponents are important in math because they allow us to abbreviate something that would otherwise be really tedious to write. If we want to express in mathematics the product of x multiplied by itself 7 times, without exponents we'd only be able to write that as xxxxxxx, x multiplied by itself 7 times in a row.

Step-by-step explanation:

Answer:

$415.63

Step-by-step explanation:

it would have been 393.75, but he worked 5 hours overtime and got paid time and a half for it, meaning his normal pay plus half of it. (only for overtime tho).

so first calculate his normal pay:

40 × 8.75 = 350

then add overtime to it

8.75 × 5 = 43.75

43.75 × 1.5 = 65.625

65.625 + 350 = 415.625

round that and its 415.63!

9514 1404 393

Answer:

  no

Step-by-step explanation:

Put 2 where x is and see if you get a true statement.

  1/2(2) -4 = 5

  1 -4 = 5

  -3 = 5 . . . . . . False

2 is not a solution to the equation.

__

The solution is x=18.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]

[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]

[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]

[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]

[tex]\mathsf{8\times4=\bf 32}[/tex]

[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]

[tex]\large\textsf{x + 2 = 32}[/tex]

[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]

[tex]\mathsf{x +2-2=32-2}[/tex]

[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]

[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]

[tex]\mathsf{x = 32 - 2}[/tex]

[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]

[tex]\mathsf{32-2=\bf 30}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

Answer:

120 brainliest?

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

An obtuse angle is always 120°. You have to add 30 to it in order to get your final answer.

Answer: 24 in.²

Step-by-step explanation: Since the base of the triangle has a length of 8 inches and the height of the triangle has a length of 6 inches, the area of the triangle is 1/2(8)(6) or 1/2(48) which is 24.

So the area of this triangle is 24 in².

Answer:

24 in^2

Step-by-step explanation:

Plug known values into the equation for triangle area: [tex]A=\frac{bh}{2}[/tex] and solve.

Another way to think of this is to multiply the base value and height value together (which is how you get area of a rectangle) and divide by two because triangles are essentially rectangles cut in half.

Answer:

11

Step-by-step explanation:

(20 + 1 + 14 + 14 + 9 + 8) / 6

= 66 / 6

= 11

Answer:

1. 21%   2.  70%

Step-by-step explanation:

1. 21 out of 100 are filled in

2. 7/10 are filled in

Answer:

28.83

Step-by-step explanation:

The answer is b          

saddsadsadas

Answer:

B

Step-by-step explanation:

Cause he added 24.76 more pounds to the 3.6 pounds. So you can take 24+3=27 and you might think C, but 0.76+0.6 that equals more than 1, so 27+1=28, and B has 28 as its answer, so its B

B

Answer:

A. 130°

Step-by-step explanation:

Answer:130

Step-by-step explanation:

I just finished the quiz :)

Answer: One

Step-by-step explanation: Recall that intersecting lines have one solution and therefore the system is consistent. Because the lines are not the same, the equations are independent.

Answer:

0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.

0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.

0.84 = 84% probability it will rain on at least 1 of the next 2 days.

Step-by-step explanation:

For each day, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on a day is independent of any other day. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

There is a 60% probability of rain each of the next 5 days.

This means that [tex]p = 0.6, n = 5[/tex]

Probability it will rain on at least 3 of the next 5 days:

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.6)^{0}.(0.4)^{5} = 0.0102[/tex]

[tex]P(X = 1) = C_{5,1}.(0.6)^{1}.(0.4)^{4} = 0.0768[/tex]

[tex]P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304[/tex]

So

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0120 + 0.0768 + 0.2304 = 0.3192[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.3192 = 0.6808[/tex]

0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.

Probability it will rain on at least 1 of the next 5 days:

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

From the above item, we have that [tex]P(X = 0) = 0.0102[/tex]. So

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0102 = 0.9898[/tex]

0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.

Probability it will rain on at least 1 of the next 2 days:

Two days means that [tex]n = 2[/tex].

The probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.6)^{0}.(0.4)^{2} = 0.16[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.16 = 0.84[/tex]

0.84 = 84% probability it will rain on at least 1 of the next 2 days.

Answer:

85 stickers

Step-by-step explanation:

y - 36 - 23 = 26

y - 59 = 26

y - 59 + 59 = 26 + 59

y = 85

Bill have to start with 85 stickers.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that Bill sold 36 stickers on the first day and 23 on the second day. He had 26 stickers left at the end of the second day.

Then the equation would be;

y - 36 - 23 = 26

y - 59 = 26

Subtract 59 from both the sides;

y - 59 + 59 = 26 + 59

y = 85

Hence, Bill have to start with 85 stickers.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

$258.48

Step-by-step explanation:

Answer:

c) 10

Step-by-step explanation:

you need to add the white and red marbles which would be 14.

then you subtract 14 by the amount of blue marbles.

Answer:

x=7cm.

Step-by-step explanation:

A=1/2(a+b)h.

63=1/2(6+12)x.

63=1/2(18)x.

63=9×x.

63/9=9×x/9.

7cm=x.

x=7cm.

Answer:

Just hoping this helps.

Answer:

A

Step-by-step explanation:

Answer:

1. 2,555

2. 23.25

Step-by-step explanation:

1. 5+10+20+...

S9 = 5(2^9-1)/(2-1)

= 5(511) = 2,555

2. 12+6+3+1.5+0.75 = 23.25

Answer:

100

Step-by-step explanation:

Answer:

what angles

Step-by-step explanation:

i do not see anything to solve

Answer:

150

Step-by-step explanation:

Remark

The exterior angle = the sum of the two given interior angles. The first job is to solve for x and then use that to find the exterior angle.

Equation

83 + 6x + 7 = 15x              

Solution

Combine like terms

90 + 6x = 15x        Subtract 6x from both sides.

        6x     6x

90 = 9x                 Divide both sides by 9

90/9 = 9x/9

x = 10

Now the exterior angle = 15x

Exterior angle = 15*10

Exterior angle = 150

Answer:

5.831

Step-by-step explanation:

Distance between both given points=Lenght=5.831