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natita [175]
2 years ago
10

What is the 15th term in the sequence using the given formula? Cn=3n-1

Mathematics
2 answers:
Andrew [12]2 years ago
4 0
The answer is C. The 15th term is 3*15 -1, or 45 -1, which is 44.
olganol [36]2 years ago
3 0

Answer:  The correct option is (C) 44.

Step-by-step explanation:  We are given to find the 15-th term of the sequence using the following formula for the n-th term of the sequence:

c_n=3n-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since we are to find the 15-th term of the given sequence, so we will substitute the value of n as 15 in the given formula.

Substituting n = 15 in the given formula (i), we get

c_{15}=3n-1=3\times 15-1=45-1=44.

Thus, the 15-th term of the given sequence is 44.

Option (C) is correct.

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FinnZ [79.3K]

Answer:

The  average temperature  is T_{a} = 81.95^oC

Step-by-step explanation:

From the question we are told that

    The temperature of the coffee after time t is   T(t) =  25 + 72 e^{[-\frac{t}{45} ]}

Now the average temperature during the first 22 minutes i.e fro 0 \to  22minutes is mathematically evaluated as

              T_{a} =  \frac{1}{22-0}  \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx

               T_{a} = \frac{1}{22} [25 t  +  72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.

             T_{a} = \frac{1}{22} [25 t  - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.

              T_{a} = \frac{1}{22} [25 (22)  - 3240e^{[-\frac{22}{45} ]}   - (- 3240e^{0} )]

            T_{a} = \frac{1}{22} [550  - 1987.12  +  3240]

          T_{a} = 81.95^oC

       

8 0
2 years ago
Team jerseys are either $188.94 for 6, or $243.92 for 8. Find each unit price and tell which cost has the lower price per jersey
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Step-by-step explanation:

To find the unit price for the 6 shirts you would do 188.94 divided by 6.

To find the unit price for the 8 shirts you would do 243.92 divided by 8

for 6 shirts it's: $31.49/shirt

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About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed
nevsk [136]

Answer:

Given the information in the question;

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b) The Null hypothesis and alternative hypothesis are;

<em>H₀ : p </em>= 0.10

<em>H₁ : p</em> > 0.10

c) The sample proportion is calculated as:

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Answer:

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. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8

. Reduce the fraction with 3 so... 3/2 times 8

. Reduce the numbers with the greatest common factor 2 so... 3 times 4

. Multiply the numbers so... 3 times 4 equals 12

4 0
2 years ago
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