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antiseptic1488 [7]
2 years ago
6

If someone answers you'll make my day :)

Mathematics
2 answers:
statuscvo [17]2 years ago
7 0

Tip- Next time so you do not have to wait on somebody the site M at h wa y gives you a quick answer.

The answer is-  2x-3y

Be sure to leave a thanks if this helped!

Dmitry [639]2 years ago
7 0

Answer:

The answer is-  2x-3y

  • Step-by-step explanation:

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At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10,
Bogdan [553]
Well, if the radius is 10, then the circumference is \frac{2*10*22}7=\frac{440}7
What's the unit? Either way, 22 rev. per minute means each minute you go by 22*\frac{440}7=\frac{9680}7 units per second. Now you got the linear speed, just find out the time by dividing the distance by the speed!
So, what's the unit for the radius?
5 0
3 years ago
The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?​
mrs_skeptik [129]

Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

8 0
2 years ago
Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour
UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

C(t) = C(0)e^{rt}

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So C(0) = 110

Husband

Half life of 4 hours. So

C(4) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{4r}

e^{4r} = 0.5

Applying ln to both sides

\ln{e^{4r}} = \ln{0.5}

4r = \ln{0.5}

r = \frac{\ln{0.5}}{4}

r = -0.1733

So for the husband

C(t) = 110e^{-0.1733t}

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.1733t}

C(11) = 110e^{-0.1733*11} = 16.35

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

C(10) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{10}

e^{10r} = 0.5

Applying ln to both sides

\ln{e^{10r}} = \ln{0.5}

10r = \ln{0.5}

r = \frac{\ln{0.5}}{10}

r = -0.0693

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.0693t}

C(11) = 110e^{-0.0693*11} = 51.33

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0
3 years ago
Find the area of the shaded region.
satela [25.4K]

Answer:

16

Step-by-step explanation:

area of big triangle is 36

area of small triangle is 20

area of shaded is 36 - 20=16

4 0
3 years ago
Hi everyone,can someone please help me with this question please help me I really really need help please answer it correctly
Allisa [31]

Answer:

the fourth which passed through (0;2)

7 0
2 years ago
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