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3 years ago

7

X<9.7 on a line graph

1 answer:

fiasKO [112]3 years ago

4 0

The inequality x < 9.7 tells us x needs to smaller than 9.7.
A number like 5 will be fine. Because 5 < 9.
But someone like 10 won't be fine.
Because 9 < 10.

Even 9.7 won't be suffice.

Because 9.7 < 9.7 does not make sense. If it was 9.7 <= 9.7 then it would be fine.

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Write a fraction that is equivalent to 6 divided by 27

faust18 [17]

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

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Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

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3 years ago

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3 years ago

What is the mass of an object if it takes a net force of 32 N to accelerate

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$\sf \: F=ma$

Where,

F is force
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In our case,

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A = 0.88m/s
M = ?

Let's solve for M ~

$\tt \: 32 = m \times 0.88$

$\tt \: 32 = 0.88m$

$\tt \: 0.88m = 32$

$\tt \: m = 36.36$

<em>Thus, The mass of object is 36.36 </em><em>grams</em><em>.</em><em>.</em><em>.</em><em>~</em>

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2 years ago