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brilliants [131]
3 years ago
15

D(n) = -5 (1/2)n-1 What is the 3rd term in the sequence?

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

-5/4

Step-by-step explanation:

1. This is an explicit formula

All we have to do is plug n = 3 in the formula to find the 3rd term.

2. d(3)=-5(1/2)3-1

= -5/4

jonny [76]3 years ago
3 0

Answer:

-5

Step-by-step explanation:

dₙ = -5 (1/2)n-1

the 3rd term in the sequence means n = 3

d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5

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Step-by-step explanation:

1) Let width = x

One side of the rectangle is covered by river. So only, 3 sides to be covered.

length = 100 - ( x + x) = 100 - 2x

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f(x) = 100x - 2x^{2}

2)f(x) =2x+1\\\\f(1.5)=2*1.5+1=3+1=4\\\\3)g(x)=x^{2}-2x+2\\\\g(1.5)=1.5^{2}-2*1.5+2\\\\=2.25-3+2\\\\=1.25\\\\4)g(x)=\sqrt{x+1}\\\\g(1.5)=\sqrt{1.5+1}=\sqrt{2.5}=0.5\\\\5)r(x)=\dfrac{2x+1}{x-1}\\\\r(1.5)=\dfrac{2*1.5+1}{1.5-1}\\\\=\dfrac{3+1}{0.5}\\\\=\dfrac{4}{0.5}\\\\=\dfrac{4*10}{0.5*10}\\\\=\dfrac{40}{5}\\\\=8

3 0
2 years ago
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1 among us has 345 apples, the 2nd has 12. divide them both. How many apples do you have?
crimeas [40]
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3 0
2 years ago
if accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total
adell [148]

Answer:

A. 0.62%

B. 28 months

Step-by-step explanation:

A. Calculation for what percentage of total production will the company expect to replace

Let x represents the distribution of life times

Let mean be 34 months

Let standard deviation be 4 months.

Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).

First step

P(X<24)

= p(x-mean/ standard deviation< 24-34/4)

= p(z< -10/4)

=P(z<-2.5)

Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)

NORMSDIST(z)=0.62%

Therefore the percentage of total production will the company expect to replace will be 0.62%

B. Calculation for how much the guarantee period should be

First step

P(X<x)=0.06

P(x-Mean/Standard deviation < x-34/4) = 0.06

Second Step is to Use excel function

P(z<x-34/4) = (Normsinv(0.06)

x-34/4 = -1.555

Now let calculate how much the guarantee period should be

x = -6.22+34 months

x = 27.78

x = 28 months (Approximately)

Therefore the guarantee period should be 28 months

4 0
3 years ago
(4f-5+2g)-(6g+4)<br>change to standard form​
navik [9.2K]

Answer:

4f-4g-9

Step-by-step explanation:

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3 years ago
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Answer: x = - 1 and y = 0

Step-by-step explanation:

I've attached the answer

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3 years ago
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