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3 years ago

In a geometric sequence, the ratio between consecutive terms is _____ constant?

2 answers:

6 0

Answer.
Always

Explanation
In a geometric sequence, the ratio of consecutive term is always a constant number. This means that if a, b, c, d, …. is a geometric sequence, then;
b/a=c/b=d/c……
So, to complete the statement above,
In a geometric sequence, the ratio of consecutive term is ALWAYS constant.

user100 [1]3 years ago

4 0

for apex the correct answer is constant

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This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the vol

solong [7]

Answer:

Option A is the correct answer.

Explanation:

Let A be the base area and h be the height of prism.

Volume of prism = Base area x Height = a x h =ah

Now we have base area of pyramid = Base area of prism = a ( both have same type of base)

Height of pyramid = 3 x height of prism = 3h

Volume of pyramid = 1/3 x Base area x Height = 1/3 x a x 3h = ah

Comparing both volumes, we will get Volume of prism = Volume of pyramid

So their ratio is 1.

Option A is the correct answer.

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3 years ago

SCALCET8 4.7.011. Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then d

kaheart [24]

Answer:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = - 5x + 750

Next we divide both sides by 2:

2y/2 = - 5x/2 + 750/2

y = - 2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width. In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x (-2.5x+375)

A = - 2.5x² + 375x

This is a quadratic equation, with values a = - 2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex. First we find the axis of symmetry, using the equation

x = - b/2a

x = - 375/2 (-2.5) = - 375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = - 2.5x² + 375x

A = - 2.5 (75) ² + 375 (75) = - 2.5 (5625) + 28125 = - 14062.5 + 28125 = 14062.5

Step-by-step explanation:

6 0

3 years ago

A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket price set at , average attendance

Goshia [24]

Answer:

Ticket price 11,5 $

R(max) = 132750 $

Step-by-step explanation:INCOMPLETE QUESTION

The ticket price is missing

We will assume 12 $

Let call x the decreasing number of the ticket price

The revenue is

R = ticket price * numbers of spectator

R(x) = ( 12 - x ) * ( 11000 + 1000*x ) for all 0 ≤ x ≤ 4 ( the seating capacity is 15000 )

R(x) = 132000 + 12000*x - 11000*x - 1000*x²

R(x) = 132000 + 1000*x - 1000*x²

Taking derivatives on both sides of the equatio we get:

R´(x) = 1000 - 2000x

R´(x) = 0 ⇒ 1000 - 2000x = 0

x = 1000/2000 ⇒ x = 0,5 $

We notice that R´´(x) < 0 then we have a maximum for x = 0,5

and the price is 12 - 0,5 = 11,5 $ for ticket

and the R(max) is

R(max) = 132000 + 1000*0,5 + 1000* (0,5)²

R(max) = 132000 + 500 + 250

R(max) = 132750 $

7 0

3 years ago

What is the SURFACE AREA of the pyramid?

Tamiku [17]

Answer:

85in²

Step-by-step explanation:

s = side

triangle: ((b x h) ÷ 2) x 4

((5 x 6) ÷ 2) x 4 = 60in

square: s2(squared not 2)

5² = 25

total sa: 25 + 60 = 85in²

5 0

3 years ago

Two girls were competing in 100 meter dash. The first girl ran it in 14.47 seconds. The second girl ran it in 13.88 seconds. How

Butoxors [25]

Answer:

the second girl was. 59 seconds faster than the first girl.

Step-by-step explanation:

14.47-13.88= .59

8 0

3 years ago