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pantera1 [17]
3 years ago
14

Please help me and answer correctly!

Mathematics
1 answer:
LenKa [72]3 years ago
3 0
A^-b = 1/a^b
a^b / a^c = a^b-c
a^c / b^c =(a/b)^c

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Look at the table. Make a conjecture about the sum of the first 15 positive even numbers.
Olenka [21]
Be observing the table, we can write the following conjecture:

When adding consecutive even numbers, starting from 2 to m.

Then the sum is equal to: 
\frac{m}{2}( \frac{m}{2} +1)

Then, the sum of the first 15 positive even numbers (which is the sum of 2 to 30) can be calculated with the previous conjecture by setting m=30:
\frac{m}{2}( \frac{m}{2} +1)=\frac{30}{2}( \frac{30}{2} +1)=(15)(16)=240

The answer is 240.

4 0
4 years ago
Lim (1 + 1/x)^(3x) as x->infinity
kobusy [5.1K]
Lim ln([(x+1)/x]^3x) as x ->.infinity =lim ln([(x+1)^(3x)]/[x^(3x)]) as s->infinity =lim ln((x+1)^(3x))-ln(x^(3x)) = infinity - infinity
your answer is e3 but you can use l'hopital if you liketake the log, get 3xln(1+1/x)which is in the form ∞×0 then use the usual trick of rewriting as ln(1+1/x)/1/3x
4 0
3 years ago
Help‼️ if a number is even, then it is divisible by 2. g=14
AnnyKZ [126]
I’m pretty sure the answer is B.
3 0
3 years ago
Identify the initial amount a and the growth factor b in the exponential function A(x)=680*4.3^
Free_Kalibri [48]
A=x 360 to the 4th power your welcome .
6 0
4 years ago
Read 2 more answers
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?
Papessa [141]

Answer:

The unit rate is 32/25 Walls per gallons.

Step-by-step explanation:

Gallons of paint used by Martin =  5/8 gallons

Portion of wall Martin wants to paint in pints = 4/5 wall.

Rate at which Martin paints the wall: Rate =  Portion of wall covered/Paints Used.

Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.

8 0
3 years ago
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