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Dominik [7]
3 years ago
10

Use the Perfect Square Trinomial and provide the first step to calculating 42^2 without a calculator.

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0

Answer:

1764

Step-by-step explanation:

(40 + 2)²

40² + 2(40)(2) + 2²

1600 + 160 + 4

1764

(46 - 4)²

46² - 2(46)(4) + 4²

2116 - 368 + 16

1764

Evgen [1.6K]3 years ago
6 0

Answer: D) (40+2)2

I got it right on my test

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Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what propo
Nastasia [14]

Answer:

Sample size is n=423

Step-by-step explanation:

Given that,

Margin of error =4%

Confidence level =90%

Suppose, sample proportion=0.5

        i.e. \hat{P}=0.5

We know that,

     Margin of error =2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }

 ∴ 1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%

\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04

\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}

\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243

\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}

\Rightarrow \sqrt{n}\geq 20.57

squaring on both side,

∴ n=423.1249

Hence, the sample size is,

   n=423

Hence, the correct option is (b).

       

7 0
4 years ago
What is the power notation of 125
loris [4]

Answer:

5³

Step-by-step explanation:

125 = 5 × 5 × 5 = 5³

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME SOLVE THIS!<br> GIVING ALL MY POINTS!
maria [59]
It’s the first box goes to the 3rd missing thing and the second goes to the 4th and the 3rd goes to the 1st and 4th goes to the 2nd I think if that makes sense
7 0
3 years ago
I need help with 17, 19, 21, and 23.
Evgen [1.6K]
17. 2x<16 x=7 or lower
All I can help you with is #17,
sorry that I can't answer the other 3.
I hope this helped! :-)
7 0
3 years ago
Read 2 more answers
-2(4a+4b)+5a&gt;-35<br> Solve the inequality
Amiraneli [1.4K]

Step-by-step explanation:

-2 (4a + 4b) + 5a > -35

-8a -8b + 5a > -35

-3a -8b > -35

for a

-3a > -35 + 8b

a < -35 + 8b ÷ -3

a < 35 - 8b ÷ 3

for b

-3a - 8b > -35

-8b > -35 + 3a

b < -35 + 3a ÷ -8

b < 35 - 3a ÷ 8

5 0
3 years ago
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