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3 years ago

5

Write 7.75 x 10^-3 in standard notation

2 answers:

Elena-2011 [213]3 years ago

8 0

7.75 x 10^-3 in standard notation is 0.775

Natasha_Volkova [10]3 years ago

4 0

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.75 × 10^−3

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Drag the tiles to the correct boxes to complete the pairs.

Mashcka [7]

Answer:

Part 1) $-17\frac{8}{9}$ -----> $-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}$

Part 2) $-15.11$ ------> $-12.48-(-2.99)-5.62$

Part 3) $-19\frac{8}{9}$ -----> $-19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})$

Part 4) $-201.65$ -----> $-353.92-(-283.56)-131.29$

Part 5) $74$ ------> $83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})$

Step-by-step explanation:

Part 1) we have

$-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}$

To calculate the subtraction convert the mixed numbers to an improper fractions

$6\frac{4}{9}=\frac{6*9+4}{9}=\frac{58}{9}$

$3\frac{2}{9}=\frac{3*9+2}{9}=\frac{29}{9}$

$8\frac{2}{9}=\frac{8*9+2}{9}=\frac{74}{9}$

substitute

$-\frac{58}{9}-\frac{29}{9}-\frac{74}{9}=-\frac{(58+29+74)}{9}=-\frac{161}{9}$

Convert to mixed number

$-\frac{161}{9}=-(\frac{153}{9}+\frac{8}{9})=-17\frac{8}{9}$

Part 2) we have

$-12.48-(-2.99)-5.62$

To calculate the subtraction eliminate the parenthesis first

$-12.48-(-2.99)-5.62=-12.48+2.99-5.62=-15.11$

Part 3) we have

$-19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})$

To calculate the subtraction convert the mixed numbers to an improper fractions

$19\frac{2}{9}=\frac{19*9+2}{9}=\frac{173}{9}$

$4\frac{1}{9}=\frac{4*9+1}{9}=\frac{37}{9}$

$3\frac{4}{9}=\frac{3*9+4}{9}=\frac{31}{9}$

substitute

$-\frac{173}{9}-\frac{37}{9}-(-\frac{31}{9})$

Eliminate the parenthesis

$-\frac{173}{9}-\frac{37}{9}+\frac{31}{9}=\frac{(-173-37+31)}{9}=-\frac{179}{9}$

Convert to mixed number

$-\frac{179}{9}=-(\frac{171}{9}+\frac{8}{9})=-19\frac{8}{9}$

Part 4) we have

$-353.92-(-283.56)-131.29$

To calculate the subtraction eliminate the parenthesis first

$-353.92+283.56-131.29=-201.65$

Part 5) we have

$83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})$

To calculate the subtraction convert the mixed numbers to an improper fractions

$83\frac{1}{5}=\frac{83*5+1}{5}=\frac{416}{5}$

$108\frac{2}{5}=\frac{108*5+2}{5}=\frac{542}{5}$

$99\frac{1}{5}=\frac{99*5+1}{5}=\frac{496}{5}$

substitute

$\frac{416}{5}-\frac{542}{5}-(-\frac{496}{5})$

Eliminate the parenthesis

$\frac{416}{5}-\frac{542}{5}+\frac{496}{5}=\frac{(416-542+496)}{5}=\frac{370}{5}=74$

3 0

2 years ago

Find x step by step (10 points)

AleksandrR [38]

Answer:

$\sqrt{(n-m)(n+m)}$ & $-\sqrt{(n-m)(n+m)}$

Step-by-step explanation:

1) Subtract $m^{2}$ from both sides. This should leave you with $x^{2}=n^{2}-m^{2}$ .

2) Square root both sides. This should leave you with $x=\sqrt{n^2-m^2}$ & $x=-\sqrt{n^2-m^2}$ .

<em>You can stop here if this is what the problem is asking for. However, it is not fully simplified.</em>

<em />

3) Factor the equation. This should leave you with $\sqrt{(n-m)(n+m)}$ & $-\sqrt{(n-m)(n+m)}$ .

4 0

2 years ago

Read 2 more answers

The solution to 2x2 – 11 = 87 is

Ilia_Sergeevich [38]

2x^2 - 11 = 87
2x^2 = 87 + 11 = 98
x^2 = 98/2 = 49
x = sqrt (49) = + or - 7

7 0

2 years ago

Read 2 more answers

An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8

babymother [125]

Answer:

5.45%

Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.

<em>What percent is 0.6 mg of total 11 mg??</em>

Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

$\frac{0.6}{11}=0.0545*100=5.45$

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0

3 years ago

What is the average of 5, 11, 12, and 8?

AURORKA [14]

Answer:

11.5

Good Luck

4 0

2 years ago

Read 2 more answers