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Pepsi [2]
2 years ago
6

Can someone help with these two answer

Mathematics
1 answer:
gayaneshka [121]2 years ago
5 0

Answer:

5. 2¯⁶ or 1/2⁶

6. 2⁹

Step-by-step explanation:

5. Simplify 2⁴ ÷ 2¹⁰

The above expression can be simplified as follow:

2⁴ ÷ 2¹⁰

Recall

Aⁿ ÷ Aᵐ = Aⁿ¯ᵐ

Thus,

2⁴ ÷ 2¹⁰ = 2⁴ ¯ ¹⁰

2⁴ ÷ 2¹⁰ = 2¯⁶

Recall:

A¯ⁿ = 1/Aⁿ

Thus,

2¯⁶ = 1/2⁶

Therefore,

2⁴ ÷ 2¹⁰ = 2¯⁶ or 1/2⁶

6. Simplify 2³ × (2²)³

2³ × (2²)³ can be simplified as follow:

2³ × (2²)³

Recall

(Aⁿ)ᵐ = Aⁿ*ᵐ

Thus,

(2²)³ = 2²*³

(2²)³ = 2⁶

2³ × (2²)³ = 2³ × 2⁶

Recall

Aⁿ × Aᵐ = Aⁿ⁺ᵐ

2³ × 2⁶ = 2³⁺⁶

2³ × 2⁶ = 2⁹

Therefore,

2³ × (2²)³ = 2⁹

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A line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?
Pie
Answer:
u = -2

Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)

Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2

Hope this helps :)

6 0
3 years ago
Julian spends 85 min on HW each day. If 20% of the time is spent on math HW, how many minutes a day is Julian spending on math H
allsm [11]
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7 0
2 years ago
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Please help! If possible please show your work :D Thank you!<br><br> Solve.
nataly862011 [7]

Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   10x + 36  =   2 • (5x + 18) 

Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:

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This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

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Divide both sides of the equation by 5:

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2 years ago
What is the distance of a car traveling with a velocity of 20 m/s north in 5 seconds
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distance=velocity×

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20(5)

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2 years ago
Solve the following inequality: -2y+6&lt;10
Montano1993 [528]
-2y + 6 < 10

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-2y < 10

Divide by -2 on both sides

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7 0
3 years ago
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