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dsp73
2 years ago
14

There are 12 bags of apples on a market stall.

Mathematics
1 answer:
Mariana [72]2 years ago
3 0

Answer:

The number of apples in the 12 bag is 96

Solution:

Given that, there are 12 bags of apples on a market stall.  

The mean number of apples in each bag is 8.  

We have to calculate the number of apples in the 12 bag.

The mean of "n" observations is given as:

Hence, there are 96 apples in 12 bags.

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Suppose 4 mg of a drug is injected into a person's bloodstream. As the drug is metabolized, the quantity diminishes at the conti
Brut [27]
Let Q(t) = the mass (mg) remaining after t hours.
We are told that Q diminishes by 3% every hour.

When t = 0, Q = 4 mg
When t = 1,  Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg

By induction,
Q(t) = 4 (0.97)^{t} \, mg

Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.

The person receives an additional dosage when Q falls to 0.50 mg. This happens when
4(0.97)^{t}=0.5 \\0.97^{t} = 0.125 \\ t \,ln(0.97) = ln(0.125) \\ t =  \frac{ln(0.125)}{ln(0.97)} =68.27 \, hrs

After the second injection, the mass is now 4.5 mg. Therefore
Q(t)=4.5(0.97)^{t}

When the mass again reaches 0.50 mg, then
4.5(0.97)^{t}=0.5 \\ 0.97^{t}=0.1111 \\ t \, ln(0.97) = ln(0.1111) \\ t = 72.14 \, hrs

Answers: 
(a) Q(t) = 4(0.97)^{t}
(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours

3 0
3 years ago
In ΔRST, s = 70 inches, t = 46 inches and ∠R=109°. Find ∠T, to the nearest degree.
gayaneshka [121]

Answer:

72 degrees

Step-by-step explanation:

Delta Math

3 0
3 years ago
The exchange rate in some prehistoric village was 6 jagged rocks for every 2 smooth pebbles. Also, one shiny rock could be trade
Scrat [10]

30 Jagged rocks are the same 3 shiny rocks using the exchange rates provided(i.e. option D)

What is an exchange rate?

Exchange rate means the rate at which one item exchanges hands with another, for instance, in this case, 6 jagged rocks are equivalent to 2 smooth pebbles.

6 jagged rocks=2 smooth pebbles

divide both sides by 2

6/2 jagged rocks=2/2 smooth pebbles

3 jagged rocks=1 smooth pebble

We can rewrite as below:

1 jagged rock=1/3 smooth pebble

30jagged rocks=1/3*30 smooth pebbles

30 jagged rocks=10 smooth pebbles

Now we need to convert 10 smooth pebbles to shiny rock equivalence

3 smooth pebbles=1 shiny rock

1 smooth pebble=1/3 shiny rock

10 smooth pebbles=1/3*10 shiny rocks

10 smooth pebbles=3 shiny rocks( even though it is 3.33, but the final answer should be rounded to a whole number)

Read more about exchange rate in the link below:

brainly.com/question/2202418

#SPJ1

4 0
2 years ago
I need help really bad
sdas [7]

Answer:

the x intercept=(-6,0) and y intercept=(0,14)

Step-by-step explanation:

i used math may but put the m as w, it works

5 0
2 years ago
Susan made 75 pieces of peanut brittle to share equally with her friends. She put 4 pieces of peanut brittle in each bag. She ga
BabaBlast [244]

Answer:

72/4=18 with remainder of 3 peices given to her mom

Step-by-step explanation:

6 0
2 years ago
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