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Gennadij [26K]
3 years ago
15

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 t

hird 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

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Write an exponential function in the form y=ab^xy=ab
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Answer:

y=20(6)^x

Step-by-step explanation:

hello :

the graph passes through the point (0,20) : when x=0  and  y=20  :

20= ab^0    so a=20 because : b^0 = 1

the graph passes through the point (3,4320) : when x=3.  and  y=4320  : 4320= ab^3  but : a=20   so : 4320 = 20b^3

so : b^3 = 4320/20 = 216...... 216 =  6^3

b^3 = 6^3

b=6

the function is : y=20(6)^x

4 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
iris [78.8K]

Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

y=-16x^2+242x+73

We ned to find the time when the rocket will the ground. For this, y = 0

-16x^2+242x+73=0

It is a quadratic equation whose solution is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 242 and c = 73

x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s

Neglecting negative value.

So, it will hit the ground in 15.42 s.

5 0
3 years ago
N is an integer with -5 &lt; 2n &lt;6<br> write down all the values of n?
Alika [10]

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

\dfrac{ -5}{2} < \dfrac{2n}{2}

So, the values of n are less than 3 and more than (-5/2).

7 0
3 years ago
Anyone for geometry #’s 5 &amp; 6
vesna_86 [32]

Answer:

5.   m < 1 = 72 degrees.

6.    m < 1 = 80 degrees.

Step-by-step explanation:

5. < 1 = 72 degrees.

If we draw a line through the point of < 1,  We see that  We have have 2 angles  of 40 and 32 ( alternate angles).

6.  By the same reasoning m < 1 = 60 + 20

= 80 degrees.

3 0
3 years ago
A water park charges $5 for entry into the park and an additional $2 for each of the big waterslides. Steven spent $17 on his vi
igomit [66]
5 is a constant - you pay $5 before you go on any of the waterslides.
let the number of waterslides Steven went on = x

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Answer a is correct.
By the way, Steven went on 6 waterslide rides.
4 0
3 years ago
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