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den301095 [7]
3 years ago
6

Why is 4 + (−3) equal to 1? Because it is 3 units to the right of 4 on a horizontal number line Because it is 3 units to the lef

t of 4 on a horizontal number line Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line
Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0
It is the same as 4-3
Mice21 [21]3 years ago
8 0
4 + (-3) is the same as saying  4-3
the correct answer is :  Because it is 3 units to the left of 4
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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
Rectangle ABCD has coordinates A(0,0), B(0,4), C(3, 0), and D(3, 4). If the
love history [14]

Hello~

The answer is C. (3,0)

Hope this helps!

Ary~

7 0
3 years ago
At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the ball
Amanda [17]
4/15 of the balloons are purple. You have two darts. There are 105 combinations of hitting two balloons out of the 15. There are 6 combinations of purple balloons to be hit. This (Purple combinations over total combinations) is your probability. 6/105 simplified to 2/35 or 2:35
So your chance of picking the purple balloons, both purple, out is 2 in 35 or 2/35
Brainliest?
6 0
3 years ago
The diagram shows a square-based cuboid 10cm and 4cm work out the volume of the cuboid
aleksandr82 [10.1K]

Answer:

40cm^3

Step-by-step explanation:

volume of a cuboid formula: L*W*H

l=length

w=width

h=height

since ;length and width are already multiplied and given to us as 10, we can multiply 10 with 4 to get volume

10*4=40

40cm^3

hope this helps!

4 0
3 years ago
What is the value of x? Enter your answer in the box. mm
xenn [34]
136mm?? Isn't it 68 x 2 because Y-K and V-Y are the same, so 68 x 2=136? I don't know
7 0
3 years ago
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