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3 years ago

Write a formula to find the nth term of a geometric sequence -1/3,1/2,-3/4,9/8

Mathematics

1 answer:

podryga [215]3 years ago

4 0

Answer:

Step-by-step explanation:

first term a = -1/3

Ratio r = 1/2÷ (-1/3) = 1/2 * (-3/1) = -3/2

nth term = ar^(n-1)

=(-1/3)*(-3/2)^(n-1)

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The equatorial diameter of a model of earth is 25.6 cm. What is the total surface area of the model

Arisa [49]

Answer:

$2059.7\,\,cm^2$

Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = $\frac{D}{2}=\frac{25.6}{2}=12.8\,\,cm$

Earth has the shape of a sphere.

Total surface area of a sphere = $4\pi r^2$

Put $\pi=\frac{22}{7}\,,\,r=12.8\,\,cm$

So,

Total surface area of the model $=4(\frac{22}{7})(12.8)^2=2059.7\,\,cm^2$

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3 years ago

What is the factored form of x^2-x-2?

ipn [44]

Answer:

$(x+1)(x-2)$

Step-by-step explanation:

You can factor this by grouping.

$x^2-x-2$

$\left(x^2+x\right)+\left(-2x-2\right)$

$x\left(x+1\right)-2\left(x+1\right)$

$\left(x+1\right)\left(x-2\right)$

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3 years ago

Decrease 845g by 62%

Phoenix [80]

845* (100-62)%
=845*38%
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3 years ago

Read 2 more answers

What is the equation for (-7,0) and (8,0)

vichka [17]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the concept of straight lines.

==> y-y1 = m(x-x1)

==> y = mx+c

these two are the straight line equation, so we get as,

=> 0-0 = m(8-(-7)

==> 0 = m(15)

==> hence, 15m = 0

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3 years ago

If a doctor charges $500 per hour for her services, how much would it cost to hire this doctor for 45 minutes?

Sergeeva-Olga [200]

It will cost $375 to hire the doctor for 45 minutes

The doctor charges $500 for an hour

60 minutes makes 1 hour

60 minutes= $500

Therefore the amount that will be charged for 45 minutes can be calculated as follows

60 minutes= $500

45 minutes= x

Cross multiply both sides

60x= 500×45

60x= 22500

x= 22500/60

x= 375

Hence it will cost $375 to hire the doctor for 45 minutes

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2 years ago

Write a formula to find the nth term of a geometric sequence -1/3,1/2,-3/4,9/8​

Write a formula to find the nth term of a geometric sequence -1/3,1/2,-3/4,9/8