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2 years ago

11

It is recommended that an adult drink 64 fluid ounces of water every day .Josey has already consumed 700 millimeters of water.ho

w many more liters should he drink today

1 answer:

Reptile [31]2 years ago

5 0

We know, 1 ounce = 29.57 ml

so, 64 ounces = 1892.71 ml

so, remaining drink would be: 1892.71-700 = 1192.71 ml

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Mashcka [7]

Answer: Sometimes

Step-by-step explanation: Through every 2 points is a line, so it would be sometimes as a line only has a minimum of 2 points.

5 0

2 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

2 years ago

What’s name of this?

Law Incorporation [45]

Answer

D.pentagonal pyramid

Step-by-step explanation:

7 0

2 years ago

What is the variance of the data set? 8, 9, 10, 16, 17

adoni [48]

Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4, -4² = 16

<span>9 - 12 = -3, -3² = 9
</span>
<span>10 - 12 = -2, -2² = 4
</span>
<span>16- 12 = 4, 4² = 16</span>

<span>17- 12 = -5, -5² = 25
</span>
Sum of the squares = 16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14

6 0

2 years ago

Ax+z=aw-y solve for y

Alexandra [31]

Ax + z = aw - y
Ax + z - aw = -y
- Ax - z + aw = y <==

4 0

3 years ago