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zhannawk [14.2K]
2 years ago
7

A mathematician works for t hours per day and solves p problems per hour, where t and p are positive integers and 1

Mathematics
2 answers:
Jobisdone [24]2 years ago
7 0
I’m confused????????
Crazy boy [7]2 years ago
6 0

Answer:

what's the question?

Step-by-step explanation:

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Geometric Series assistance
Levart [38]

we have been asked to find the sum of the series

\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}

As we know that a geometric series has a constant ratio "r" and it is defined as

r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}

The first term of the series is a_1=\left(\frac{1}{3}\right)^{1-1}=1

Geometric series sum formula is

S_n=a_1\frac{1-r^n}{1-r}

Plugin the values we get

S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}

On simplification we get

S_5=\frac{121}{81}

Hence the sum of the given series is \frac{121}{81}

5 0
3 years ago
Tom drove at a constant speed 50 mph for 2.5 hours Albert drove at a constant speed of 65 mph for 2 hours. How many more total m
Alona [7]

Answer:

  5 miles

Step-by-step explanation:

distance = speed · time

Tom's distance = (50 mi/h)·(2.5 h) = 125 mi

Albert's distance = (65 mi/h)·(2 h) = 130 mi

Albert drove 130 -125 = 5 miles farther than Tom.

8 0
3 years ago
Combine like terms: 80 + 50m + 65 + 40m​
Nuetrik [128]

Answer:

90m+145

Step-by-step explanation:

80 + 50m + 65 + 40m​

90m+145

3 0
2 years ago
What is exponential growth? <br><br> NOT FROM THE INTERNET, IN YOUR OWN WORDS PLEASE
nordsb [41]

Answer:

<em>A growth present such that the change in slope itself differs by the multiplication of a constant</em>

Step-by-step explanation:

<em>* Definition: </em><em>A growth present such that the change in slope itself differs by the multiplication of a constant </em><em>*</em>

8 0
3 years ago
Read 2 more answers
in a recent survey 57% of 13 to 18 years old that their purchases are influenced by celebrating a thousand people who survived h
ANTONII [103]
100% is whole, so 100 minus 57% equals 43% so 43% of 13 to 18 year olds are not influenced by celeberties.
4 0
3 years ago
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