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Elodia [21]
3 years ago
7

Simplify using appropriate identity 0.85 × 0.85 +2 × 0.85 ×0.15 × 0.15

Mathematics
2 answers:
spayn [35]3 years ago
7 0

The answer is <u><em>0.76075</em></u>!

<em>Hope this helps!</em>

guapka [62]3 years ago
4 0

Remember that multiplication is to be done before addition or subtraction.  We see that both terms have the factor 0.85:

0.85 × 0.85 +2 × 0.85 ×0.15 × 0.15 =

0.85 * ( 0.85 + 2*0.15*0.15).  

This is equivalent to 0.85 ( 0.85 + 2*0.0225 ) = 0.85 ( 0.895 ).

This last result could be left as is, or evaluated with a calculator:

0.76075

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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
weqwewe [10]

Answer:

8(15-m)

Step-by-step explanation:

By looking at the options, we can understand that the right one is 8(15-m), since we need to multiply the time by the number of question.

Also, we can check that result by arranging an equations usint the total time.

55 = 3m - 8(15-m)

55 = 3m - 120 + 8m

55 = 11m - 120

55 + 120 = 11m

175 = 11m

m = 175/11 = 15.91

55 = 3*15.91 - 8(15-15.91) = 47.73 - 120 + 127.28 = 55.01 ≈ 55

6 0
2 years ago
Write the point slope equation of the line
Licemer1 [7]
The answer would be y=-13x+7
hope this helps ;]
5 0
2 years ago
A 66-meter garden row is divided into 44 equal-sized sections to plant onions.
Gwar [14]
You may represent this multiple ways.

1. 66/44 = m

2. 44m = 66

In both of these scenarios you have a total and equal parts.

The first one starts with a total and breaks it into equal parts.

The second choice shows 44 groups of a part totaling 66 meters.
8 0
3 years ago
For what values of k
sergey [27]

If y = cos(kt), then its first two derivatives are

y' = -k sin(kt)

y'' = -k² cos(kt)

Substituting y and y'' into 49y'' = -16y gives

-49k² cos(kt) = -15 cos(kt)

⇒   49k² = 15

⇒   k² = 15/49

⇒   k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

3 0
2 years ago
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Bingel [31]
Do a proportion
8/100= x/70
Cross multiply and divide
70 x 8= 560
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Answer is 5.6

You also could have done .08 x 70 which is also 5.6
7 0
3 years ago
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