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kicyunya [14]
3 years ago
11

Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is​ arithmetic, find and d

. If a sequence is​ geometric, find and r. 7​,9,11
Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0

Answer: The common  difference, d  of the arithmetic progression  is 2

Step-by-step explanation:

In the sequence 7, 9, 11, we can see that an additional term is gotten upon the addition of 2, so it is an arithmetic progression.

given that that first term  a , =7

and the second term  a + d  = 9

The common difference , d  =(a + d)  − a

d = 9 − 7

d= 2

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Is (-7/8) with exponent 12, positive or negative?
bulgar [2K]

Answer:

There is a 100% possibility that it can be Positive

Step-by-step explanation:

Because it will actually equal 0.201417238

You don't believe me?

Then use a calculator, and if you still don't believe me, the truth is that you're wrong!

But hope this helps

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2 years ago
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A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
qwelly [4]

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

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P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

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7 0
3 years ago
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YAnswer:

Step-by-step explanation:

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2 years ago
Find the midpoint of the line segment with end coordinates of: (-2,-2) and (2,8)​
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Step-by-step explanation:

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True or false? The quadratic equation 10p2 - 5p = -8 has one solution.
pav-90 [236]

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

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  • b = -5
  • c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

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The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

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