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statuscvo [17]
2 years ago
15

Write an explicit rule for the sequence that models this situation:

Mathematics
2 answers:
Black_prince [1.1K]2 years ago
8 0

Answer:

n = 12 + 2t ,

where t is less than or equal to 50

Step-by-step explanation:

Let n be the number or wolves and t be the number of years after the conservation efforts began.

n = 12 + 2t ,

where t is less than or equal to 50

expeople1 [14]2 years ago
7 0

Answer:

Step-by-step explanation:

The population will increase by 2 each year. This means that the sequence is an arithmetic progression.

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 12

d = 2 years

Therefore, the explicit rule for the sequence that models this situation: would be

Sn = n/2[2 × 12 + (n - 1)2]

Sn = n/2[24 + 2(n - 1)]

For the next 50 years, n = 50

S50 = 50/2[2 × 12 + (50 - 1)2]

S50 = 25[24 + 98)

S50 = 3050

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The temperature of a hot steak starts at 140f and decreases at 5f per minute what will the temperature of this steak after a cer
irina1246 [14]

Answer:

T(m) = (140 - 5m)

Step-by-step explanation:

Given that :

Initial temperature, a = 140 F

Rate of decrease = 5 F per minute

Given a certain Number of minutes, m

Temperature, T after m minutes ;

Using the formula :

Final temperature = Initial temperature - 5*number of minutes)

T(m) = (140 - 5m)

Given that ; m = 10

T(10) = 140 - 5(10)

T(10) = 140 - 50

T(10) = 90 F

7 0
3 years ago
Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o
olga_2 [115]

Answer: it will take 9 hours.

Step-by-step explanation:

The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 18 inches

d = 1.5 inches

The expression becomes

Tn = 18 + 1.5(n - 1)

For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30

Therefore,

30 = 18 + 1.5(n - 1)

1.5(n - 1) = 30 - 18

1.5(n - 1) = 12

n - 1 = 12/1.5 = 8

n = 8 + 1

n = 9

6 0
3 years ago
Using transformations
Delvig [45]
I have the graphed answer right here

4 0
2 years ago
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zhannawk [14.2K]

Answer:

C.

Step-by-step explanation:

Adding 2 fractions results in a fraction.

5 0
2 years ago
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Two antibiotics are available as treatment for a common ear infection in children. • Antibiotic A is known to effectively cure t
Scrat [10]

Step-by-step explanation:

the probability of A working is 60% or 0.6, so the probability it does not work is 40% or 0.4.

the probability of B working is 90% or 0.9, so the probability it does not work is 10% or 0.1.

plan 1

it is the probabilty that either A works, or (if it is not working) B works.

0.6 + 0.4×0.9 = 0.6 + 0.36 = 0.96

plan 2

either B works, or (if it is not working) A works

0.9 + 0.1×0.6 = 0.9 + 0.06 = 0.96

both plans have the same success probability.

5 0
2 years ago
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