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Lapatulllka [165]
2 years ago
8

What is the recursive formula for this geometric sequence? -2, -16, -128, -1024,

Mathematics
2 answers:
dolphi86 [110]2 years ago
5 0

Answer: the answer is A

FinnZ [79.3K]2 years ago
3 0
<h3>Answer: Choice A</h3>

The first line shown in choice A is a_1 = -2 which means "the first term is -2"

The next line in choice A means "the nth term (a_n) is found by multiplying the prior term (a_{n-1}) by 8". Put another way: multiply each term by 8 to get the next term.

first term = -2

second term = 8*(first term) = 8*(-2) = -16

third term = 8*(second term) = 8*(-16) = -128

fourth term = 8*(third term) = 8*(-128) = -1024

and so on.

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?Order: Add 125 mg of morphine sulfate to DW 250 mL stat. and infuse at 0.005? mg/kg/min.
Elis [28]

Answer:

A. 57 mL/hr

Step-by-step explanation:

Mass of morphine sulfate = 125 mg

DW = 250 mL

Rate of infusion = 0.005 mg/kg/min

Converting to mg/kg/hour

0.005 mg/kg/min×60 = 0.3 mg/kg/hour

For the patient who weighs 95 kilograms

0.3 mg/kg/hour×95 = 28.5 mg/hour

For the mass of 125 mg of morphine sulfate

1 mg

250/150 = 2 ml/mg

Rate of infusion

28.5×2 = 57 mL/hr

∴ Rate of infusion is 57 mL/hr

5 0
2 years ago
A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, we stop. If no
Airida [17]

Answer:

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

Step-by-step explanation:

Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply  

p=(4 2)*(4 2)/(8 4)

This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence  

P(X = n) = (1— p)^n-1 *( p )

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

3 0
2 years ago
The nutrition lab in Chapter 14, exercise 38 tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upp
Vika [28.1K]

Answer:

1,476 hot dogs

Step-by-step explanation:

4 0
2 years ago
If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
two companies rent moving trucks. pack and go charges $39.95 flat fee and $0.45 for every mile driven. U-drive charges $59.95 fl
Nutka1998 [239]

Answer:

$62.60

Step-by-step explanation:

C(190) = 22 + 0.1*190 = 22 + 19 = $41

C(406) = 22 + 0.1*406 = 22+40.6 = $62.60

8 0
2 years ago
Read 2 more answers
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