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Natalka [10]
3 years ago
12

Can a theorem contain definitions? Please help!

Mathematics
1 answer:
jekas [21]3 years ago
7 0

yes because a theorem is an idea which occurs to be true in all cases. it is not a theory. definitions help with the understanding of theorems

hope this helps.

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PLEASE HELP ASAP!!!!!!!!!
Butoxors [25]

Answer:

it’s the last one

8 0
2 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
kramer

Given:

The sequence is:

16,80,400,...

To find:

The 6th term of the given sequence.

Solution:

We have,

16,80,400,...

Here, the first term is:

a=16

The ratio between consecutive terms are:

\dfrac{80}{16}=5

\dfrac{400}{80}=5

The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.

The nth term of a geometric sequence is:

a_n=a(r)^{n-1}

Where, a is the first term and r is the common ratio.

Substitute a=16,r=5,n=6 to get the 6th term.

a_6=16(5)^{6-1}

a_6=16(5)^{5}

a_6=16(3125)

a_6=50000

Therefore, the 6th term of the given sequence is 50000.

5 0
3 years ago
working together, paul and dan can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken dan 9 ho
Leya [2.2K]

Answer:

Step-by-step explanation:

If Daniel does 1/9 of the job in one hour

let x = Paul's rate

Paul does 1/x of the job in one hour

They both do the job in 4.95hrs

(1/9)(4.95) + (1/x)(4.95) = job completion

multiply both sides by 9x

(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)

4.95x + 9*4.95 = 9x

4.95x + 44.55 = 9x

9x - 4.95x = 44.55

4.05x = 44.55

x = 44.55/4.05

x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone

7 0
3 years ago
What’s the slope of the line that goes through (9,9) and (-8,9) ?
denpristay [2]

Answer:

0

Step-by-step explanation:

9-9/9--8

0/17

0

5 0
3 years ago
Answer ASAP for Brainliest!
I am Lyosha [343]

Answer:

Area: 28 cm^2 Perimeter=20 cm

Step-by-step explanation:

A= 1/2 x b x h

A= 1/2 x 8 x 7

A= 28cm^2

P=a + b + c

P = 6+8+6

P = 20 cm

8 0
2 years ago
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