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FinnZ [79.3K]
3 years ago
13

(6 + 7) + 8 = 21

Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer: 6+(7+8)=21

Step-by-step explanation:

1. By definition, the associative property of addition is:

(a+b)+c=a+(b+c)

This property says that you can group the numbers in different ways and you will obtain the same result.

2. Therefore, if you have the following expression:

(6+7)+8=21

You apply  the Asociative property of addition by regrouping the numbers as following:

6+(7+8)=21

3. Then, you can conclude that the correct option is B.



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Question 3 Unsaved
bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}

Simplify to get

Y(s) = \frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]

Take inverse

y(t) = \frac{e^{-3t} -e^{-5t}}{2}

8 0
3 years ago
Last weekend,Mandy collected 4 times as many shells as Cameron.Together how many shells did Mandy collect?write an equation and
shutvik [7]

Answer:

4x=y

Step-by-step explanation:

Mandy collects 4 times the amount that Cameron has, so Cameron's amount x 4 = Mandy's amount

6 0
3 years ago
What is the best approximation of 6% tax on a 102 purchase
Pavel [41]
If the purchase is $102 and you add 6% for tax you would end up with $108.12
Hope this helps!
3 0
3 years ago
A line with a slope of 1/4 passes through the point (5, 6). What is its equation in point-slope
diamong [38]

Answer:

Use the equation

Step-by-step explanation:

y = mx + b

4 0
2 years ago
Have no idea helppppppppppp
mario62 [17]
Answer: choice A) 7017

==========================================================

Work Shown:

The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7

The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7

----------

The 1000th term corresponds to n = 1000

Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify

a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
3 0
3 years ago
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