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WARRIOR [948]
3 years ago
11

Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal:

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Consider the expression (8.1\cdot 10^{-4})^2.

Use main properties for powers:

1. (a\cdot b)^m=a^m\cdot b^m;

2. (a^m)^n=a^{m\cdot n};

3. a^m\cdot a^n=a^{m+n}.

Then

(8.1\cdot 10^{-4})^2=8.1^2\cdot (10^{-4})^2=65.61\cdot 10^{-4\cdot 2}=65.61\cdot 10^{-8}=6,561\cdot 10^{-2}\cdot 10^{-8}=6,561\cdot 10^{-10}.

The result in scientific notation is 6,561\cdot 10^{-10}.

The result as a decimal is 0.0000006561.

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What annual rate of interest would you have to earn on an investment of $5500 to ensure receiving $434.50 interest after one yea
Veronika [31]
Answer: 0.079 , 7.9%
434.50/5500 = 0.079
8 0
2 years ago
In June 2005, a CBS News/NY Times poll asked a random sample of 1,111 U.S. adults the following question: "What do you think is
Shtirlitz [24]

Answer:

The appropriate null hypothesis is H_0: p = 0.25

The appropriate alternative hypothesis is H_1: p < 0.25

Step-by-step explanation:

Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country.

At the null hypothesis, we test if the proportion is still the same, that is, of \frac{1}{4} = 0.25. So

H_0: p = 0.25

We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.

Decreased, so at the alternative hypothesis, it is tested if the proportion is less than 0.25, that is:

H_1: p < 0.25

3 0
3 years ago
HELP ASAP!!
garri49 [273]
I'm pretty sure it would be <span>x - y + 1 = 0 because if you plug in one of the coordinates into each equation, this is the only one that works.

</span><span>y - x + 1 = 0
2 - 1 + 1 = 0
2 = 0 not correct

</span><span>x - y + 1 = 0
1 - 2 + 1 = 0
0 = 0 correct

</span><span>-x - y + 1 = 0
-1 - 2 + 1 = 0
-2 = 0 not correct
</span>
4 0
3 years ago
Find the area of a rhombus if its diagonals are of lengths 12.8 cm and 8.4cm
Daniel [21]

Area =

\frac{pq}{2}

where p and q are it's diagonal

so according to the rule.

\frac{12.8 \times 8.4}{2}

\frac{107.52}{2}

53.76 \\  \\

is the answer.

<em><u>hope </u></em><em><u>understands </u></em>

4 0
1 year ago
What is 6 times 5 3/4
valentina_108 [34]
The answer to this would be 34.5
3 0
3 years ago
Read 2 more answers
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