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Pepsi [2]
3 years ago
6

Can someone help with these two answer

Mathematics
1 answer:
gayaneshka [121]3 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 triangle has a side lengths of 4cm,3cm, and 4cm. Classify its as acute, obtuse, or right.
DIA [1.3K]

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:

1) Square all 3 sides.

4, 3, 4, 

16, 9, 16

2) Sum the squares of the 2 shortest sides.

16 + 9 = 25


3) Compare this sum to the square of the 3rd side.

25 > 16

if sum > 3rd side²   Acute Triangle

So, it is an acute triangle.

Source:
http://www.1728.org/triantest.htm


4 0
3 years ago
Plxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpe me if you can
evablogger [386]

Answer:

not sure

Step-by-step explanation:

6-4 =2

2*9=18??

I'm not sure, since that was simple math, can you clarify by what you meant the difference of 6 and 4.

8 0
2 years ago
Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take
Mashutka [201]

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

4 0
3 years ago
I need help plzzzzzzz
Gre4nikov [31]
6) C, 7) B, 8) B, a spring scale is one tool that can be used to measure force. Explain that a spring scale measures force in units called newtons.
5 0
2 years ago
A can of tomato paste is shaped like a cylinder. It is 4 cm wide and 6 cm tall. Find its volume to the nearest tenth. use 3.14 f
Varvara68 [4.7K]

Answer:

75.4 cubic cm

Step-by-step explanation:

V(cyl) = πr²·h

= 2²(6)π

= 24π

= 75.36 cubic cm

6 0
3 years ago
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