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max2010maxim [7]

3 years ago

14

What is the name of the figure? Name the base and if it's a pyramid or prism. EX: rectangular prism or rectangular pyramid. The

answer is neither of these, use the correct base.

1 answer:

ivanzaharov [21]3 years ago

3 0

pyramid ig i am not sure

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WILL GIVE 100 POINTS

padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is $a_{n}=15+3n$

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the the first term
d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

sequence because there is a common difference between

each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ $a_{n}=18+(n-1)3$

- Simplify the right hand side

∴ $a_{n}=18+3n-3$

- Add like terms

∴ $a_{n}=15+3n$

(a) The explicit rule to model the sequence formed by the number of seats in each row is $a_{n}=15+3n$

∵ There are 120 seat in a row

- Substitute $a_{n}$ by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0

3 years ago

Solve for x: 3(x - 2) = -9

Airida [17]

Answer:

X=-1

Step-by-step explanation:

3x-6=-9

3x=-9+6

3x=-3

x=-1

5 0

3 years ago

Given: 8x-61=17, prove: 39/4

Degger [83]

Answer:

The solution is $x = \frac{39}{4}$

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

$8x - 61 = 17$

$8x = 78$

$x = \frac{78}{8}$

Simplifying by 2

$x = \frac{39}{4}$

The solution is $x = \frac{39}{4}$

8 0

3 years ago

Y=1/2x+2 which graph represents the function

Tanya [424]

Answer:

Graph number 1

Step-by-step explanation:

According to the equation the y-intercept is 2. The only graph with the y-intercept of (0,2) is the first graph. So, graph number 1 represents the function.

7 0

3 years ago

Read 2 more answers

A jar contains 18 red marbles 14 green marbels and 20 blue marbles a marble was selected at random the color was recorded and th

muminat

The "relative frequency" is

(number of times a blue marble came out)
divided by
(total number of trials before everybody got bored and quit) .

-- The relative frequency of blue was (20/60) = (33 and 1/3) % .
(Even though 38.5% of the marbles in the jar are blue,
they didn't get picked that often.)

-- The relative frequency of green was (18/60) = 30 % .
(Even though only 26.9% of the marbles in the jar are green,
they got picked more often than that.)

-- The relative frequency of red was (22/60) = (36 and 2/3) % .
(Even though 42.3% of the marbles in the jar are red,
they didn't get picked that often.)

3 0

3 years ago