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BigorU [14]
1 year ago
9

The first three terms of a sequence are given. Round to the nearest thousandth (ifnecessary).3 33,2'4'Find the 8th term

Mathematics
1 answer:
marissa [1.9K]1 year ago
4 0

You can notice that each term of the sequence has a denominator with powers of 2. The first term has 2 powered to 0, the second term has a 2 powered to 1 and so on. The numerator is always 3.

Then, for the n-th term, you have:

a_n=\frac{3}{2^{n-1}}

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A punch recipe calls for 1/2 gallon of ginger ale, 1/2 qt of
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Answer: 14

Step-by-step explanation:

1/2 gallon =2 quarts, so add the 2 quarts and the 1 quart of ginger ale, plus the one pint of lemonade and this makes 14 cups of punch

8 0
3 years ago
What are some numerical expressions for 9 times x?
Lorico [155]

Answer:

9x

9 • x

9(x)

9*x

I think that's what the question means?

7 0
3 years ago
A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If
EleoNora [17]

this is a binomial problem: p = 0.7 and q = 0.3

a) (0.7)^6

b) (6C4)(0.7)^4(0.3)^2

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6 0
4 years ago
How could you describe the maximum the LCM between two numbers could be?
Licemer1 [7]

Answer:

  the product of the two numbers

Step-by-step explanation:

The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.

__

We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.

  LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30

  LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2

3 0
3 years ago
The formula for the area of a circle is A equals xr2 this formula allows you to find the area of a circle if you know the radius
iVinArrow [24]

Answer:

The relation for the area of circle with radius , Diameter , circumference is

A=   \pi × radius²

A = \frac{\pi D^{2} }{4}

A = \frac{c^{2} }{4\pi }

Step-by-step explanation:

Given as :

The formula for the area of circle = \pi × radius²

I.e A =  \pi × radius²

<u>Now If we know radius then </u>

Area calculated as A=   \pi × radius²

<u>If we know Diameter then</u>

Area calculated as   \pi × (\dfrac{\textrm Diameter}{2})²

Or, A =   \pi × (\dfrac{\textrm D}{2})²

I,e  A = \frac{\pi D^{2} }{4}

<u>If we know the circumference then</u>

∵ circumference = c = 2 × \pi × radius

or, c =  2 × \pi × r

from here we calculate radius

I.e  r = \frac{c}{2\pi  }

And So , Area ( A ) = \pi × radius²

I.e   A = \pi × ( \frac{c}{2\pi  } )²

Or, A = \frac{c^{2} }{4\pi }

Hence The relation for the area of circle with radius , Diameter , circumference is

A=   \pi × radius²

A = \frac{\pi D^{2} }{4}

A = \frac{c^{2} }{4\pi }      Answer

4 0
3 years ago
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