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Korvikt [17]
4 years ago
11

Help please!!! Need helppp!!!

Mathematics
1 answer:
castortr0y [4]4 years ago
4 0

Answer:

multiply

Step-by-step explanation:

all you need to do is multiply 2×1×1

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If a= 2^x and b =2^x+1; show that: 8a^3 / b^3 = 2^x+1​
kkurt [141]

Step-by-step explanation:

Given that:

a = 2ˣ

b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ

Now,

{(8a³)/b²}

Substitute the value of x and y in expression then

= [{8(2ˣ)³}/(2.2ˣ)²]

= [(8*2³ˣ)/{2² * (2ˣ)²}]

= {(8*2³ˣ)/(4 * 2²ˣ)}

[since, (aᵐ)ⁿ = aᵐⁿ]

= {(2 * 2³ˣ)/2²ˣ}

= {(2 * 2²ˣ * 2ˣ)/2²ˣ}

[since (2a = a+a, that means 3x = 2x + x)]

= 2 * 2ˣ

= 2ˣ⁺¹

[since (aᵐ * aⁿ = aᵐ+ⁿ)]

<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .

Please let me know if you have any other.

7 0
2 years ago
The half-life of a certain material is 0.004 second. Approximately how much of a 20-gram sample will be left after 0.016 second?
emmainna [20.7K]

Answer:

D. 1.25 grams

Step-by-step explanation:

Half-life is: 0.004 sec

Time spent : 0.016 sec

Quantity = 20 gram

In order to find the material after 0.016 sec, we have to calculate how many number of half-lives have been passed

No. of half-lives passed = 0.016/0.004

= 4

The number of lives passed will be raised to the power of 0.5.

0.5 ^ 4 = 0.0625

The answer will be multiplied with the quantity we started with.

Remaining material is:

20*0.0625 = 1.25 grams

Hence, Option D is correct ..

4 0
3 years ago
a community Center has three swimming pools.the water level of each pool is measured at 8:00pm each night.Two of the measurement
oee [108]
The answer would be 1 1/2
5 0
3 years ago
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DaniilM [7]

Answer:

y = 2x + 5

Step-by-step explanation:

2 is the slope so it goes with the x and 5 is the y-intercept so it is either added or subtracted.

4 0
3 years ago
Find the value of the expression.<br>-35 – 17 + 55 + 39 =​
Sedbober [7]

Answer:42

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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