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sineoko [7]
3 years ago
6

The value of 6.8x10^2x1.3x10^-3 In standard form

Mathematics
2 answers:
Tresset [83]3 years ago
7 0

Answer:

0.884

Hope this helps :)

marta [7]3 years ago
6 0

Answer:

0.884

Step-by-step explanation:

When you multiply exponents together, you add the powers values together.

Step 1: Multiply base numbers

6.8(1.3) = 8.84

Step 2: Multiply (add) exponentials

10^2(10^{-3}) = 10^{-1}

Step 3: Combine into scientific notation

8.84(10^{-1})

Step 4: Evaluate into standard form

0.884

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What is the reference angle for 7pi/6
DanielleElmas [232]
The reference angle is a positive acute angle. Angle 7π/6 in radians= = 7*180°/6 = 210°  ( because π rad=180°).
This angle is in the 3rd Quadrant and formula for the reference angle is:
x-180°.
210°-180°=30°
Answer: The reference angle for 7π/6 is 30°. 
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Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.
Flauer [41]

Answer:

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

Step-by-step explanation:

Given

\sqrt{128a^{6}b^{13}}

Required

Solve

\sqrt{128a^{6}b^{13}}

The expression can be split to:

\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}

So, we have:

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}

Rewrite as:

\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2}  * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

5 0
2 years ago
A medium sized apple has 70 calories. This is 10 calories less than 1\4 of the calories in an old westie chocolate bar.How many
blondinia [14]

Answer:

\boxed{320}

Step-by-step explanation:

    Let x = calories in chocolate bar

       ¼x = ¼ of the calories

¼x – 10 = 10 calories less than half the calories

¼x – 10 = 70

       ¼x = 80

          x = 320

There are \boxed{320} calories in the chocolate bar.

5 0
3 years ago
Solve for x<br> decreasing 3/4 times a number by 18 is equal to increasing 1/2 times the number by 5
Eva8 [605]

Step-by-step explanation:

let the no. be x then

3/4x-18=1/2x+5

3/4x-1/2x=18+5

1/4x=23

x=23×4

x=92

4 0
3 years ago
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