How do you evaluate the expression below??

Answers

Answer 1

Answer: 2.54156708521 alternatively, logarithm can be calculated like this.

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What is the solution for x?

Answers

3 - x = 5

Add x on both sides.

3 - x + x = 5 + x

3 = 5 + x

Subtract 5 on both sides

3 - 5 = 5 - 5 + x

3 - 5 = x

x = 3 - 5

x = -2

Jane has been growing two bacteria farms. Bacteria farm Rod has a starting population of 2 bacteria, while Bacteria farm Sphere has a starting population of 8 bacteria. However, Jane starts growing Rod five hours before she starts growing Sphere. At 8 p.m., Jane checks her farms and finds that they have the exact same population. If the population of Rod doubles every hour, but the population of Sphere is quadrupled every hour, how many hours ago did she start growing Sphere?

Answers

Answer: Jane started growing Sphere 3 hours ago

Step-by-step explanation:

Farm Rod starting population (Rsp) = 2

Farm Sphere starting population (Ssp) = 8

Let´s name "Rh" the quantity of hours since Rod started growing, and

"Sh" the quantity of hours since Sphere started growing.

And, let´s name "R" the population of farm Rod at 8 p.m. and "S" the population of farm Sphere at 8 p.m.

Population of Rod doubles every hour, therefore:

R = $Rsp * 2^(Rh)$

R = $2(2^(Rh))$

Population of Sphere is quadrupled every hour, therefore:

S = $Ssp * 4^(Rh)$

S = $8(4^(Rh))$

At 8 p.m. Jane found that R = S

Therefore, at 8 p.m:

$2(2^(Rh))$ = $8(4^(Sh))$

dividing both sides by 2

$2^(Rh) =4(4^(Sh))$

adding exponents

$2^(Rh) = 4^(Sh+1)$

$2^(Rh) =2^{2^(Sh+1) }$

the bases are the same; exponents must be the same

Rh = 2Sh + 2 (equation 1)

And we also know that Jane started growing Rod five hours before Sphere:

Rh = Sh + 5 (equation 2)

Replacing equation 2 into equation 1:

(Sh + 5) = 2Sh + 2

5 - 2 = 2Sh - Sh

3 = Sh, or

Sh = 3

Jane started growing Sphere 3 hours ago.

12.57 round to the nearest tenth

Answers

You get 12.6

After the decimal starts the the tenth place. In order to round to the tenth place, we need to know the hundredth place which is the 7. If the hundredth place is 5 or greater then we round up and if it's 4 or lower then we keep the tenth place the same number as it is before.

Since the hundredth place is greater than or equal to 5, we round up the tenth place to 6. If you have any questions then leave a comment. Good luck!

12.57 rounded to the nearest tenth is 12.6 because the 5 is the tenth place and you have to look at the number to the right of that which is 7. 5 and up rounds up, so the 5 becomes 6 and the 7 disappears.

(2a^2 +a + 3) (a - 1)

Answers

Answer: 2a^3-a^2+2a-3

Step-by-step explanation:

(2a^2+a+3) (a-1)

2a^3-2a^2+a^2-a+3a-3

2a^3-a^2+2a-3

Note: If you need extra help with this topic, I suggest you should search up "how to multiply a trinomial by a binomial" on Google. It will help you a lot!

How do you solve 5/x=x-4

Answers

$(5)/(x)=x-4\n x\not=0\n 5=x^2-4x\n x^2-4x-5=0\n x^2+x-5x-5=0\n x(x+1)-5(x+1)=0\n (x-5)(x+1)=0\n x=5 \vee x=-1$

Unit used to measure humidity

Answers

The specific humidity unit is the most reliable unit of measurement of humidity. This measures the weight of water vapor per unit weight of air and it is expressed as grams of water vapor per kilogram of air g.kg-1 is the specific humidity unit.

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