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2 years ago

A bottle of cough syrup has

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

4 0

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

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You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you

uysha [10]

Answer:

19.44 hours, about 19 hours 26 minutes

Step-by-step explanation:

The exponential equation that describes your caffeine level can be written as ...

c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg

We want to find t for c(t) = 10, so ...

10 = 120(0.88^t)

10/120 = 0.88^t . . . . . . . divide by 120

log(1/12) = t·log(0.88) . . . take logarithms

t = log(1/12)/log(0.88) ≈ 19.4386

It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.

3 0

3 years ago

Mrs.Gill won certain prize money in a cooking competition.She spent half of the prize money on the clothes,one third on grocery

erma4kov [3.2K]

Answer

Find out the how much prize money did she win.

To proof

Let us assume that the total amount prize money did she win be u.

As given

Mrs.Gill won certain prize money in a cooking competition.

She spent half of the prize money on the clothes

$= u -\frac{u}{2}\\ = \frac{u}{2}$

one third on grocery

$= \frac{u}{2} -\frac{u}{3}$

(L.C.M of (2,3) =6 )

$= \frac{3u -2u}{6} \\=\frac{u}{6}$

gave away the remaining Rs.2000 to an orphanage

$2000 = \frac{u}{6}$

u =Rs 12000

Rs 12000 prize money did she win.

Hence proved

6 0

3 years ago

Which expression is equivalent to *picture attached*

Sedbober [7]

Answer:

$\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n$

Step-by-step explanation:

Given expression : $\sum_{n=3}^{20}(n(n+1))$

Solving further :

$\Rightarrow \sum_{n=3}^{20}(n^2+n)$

$\Rightarrow \sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n$

So, $\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n$

So, The given expression is equivalent to Option A

So, Option A is the answer

7 0

3 years ago

Susan finds 2 pints 1 cup of water evaporated from the class aquarium. How many pints of water are left in the aquarium?

Sav [38]

Answer: 1.5 US PINTS

Step-by-step explanation:

Brainliest plz

7 0

3 years ago

Read 2 more answers

Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a

aksik [14]

Answer:

the expected value of this raffle if you buy 1 ticket = -0.65

Step-by-step explanation:

Given that :

Five thousand tickets are sold at $1 each for a charity raffle

Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.

Thus; the amount and the corresponding probability can be computed as:

Amount Probability

$500 -$1 = $499 1/5000

$300 -$1 = $299 3/5000

$50 - $1 = $49 5/5000

$5 - $1 = $4 20/5000

-$1 1- 29/5000 = 4971/5000

The expected value of the raffle if 1 ticket is being bought is as follows:

$E(x) = \sum x * P(x)$

$E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000} + (-1 * \dfrac{4971}{5000} ))$

$E(x) = (0.0998 + 0.1794+0.049 + 0.016 + (-0.9942 ))$

$E(x) = (0.3442 -0.9942 )$

$\mathbf{E(x) = -0.65}$

Thus; the expected value of this raffle if you buy 1 ticket = -0.65

7 0

3 years ago