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4 years ago

Indy has x erasers and y pencils. How many erasers and pencils does Indy have?

Mathematics

2 answers:

navik [9.2K]4 years ago

8 0

X + y, because you do x + y and you can't simplify. Hope this helps!

Mnenie [13.5K]4 years ago

4 0

X+Y cuz that is literally all the info but yeah i think that's it man

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3 years ago

1 3/5(t-6)=-0.4 solve the equation

andrew11 [14]

t= 6 1/4 hope this helps

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3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

3 years ago

40% of a nurse 's time is spent dispensing medicine to patients. If 16 hours per a week is spent dispending medicine, how many h

GarryVolchara [31]

Answer:

Step-by-step explanation:

16/.4=40

7 0

3 years ago

-2.105 as a fraction?

Bezzdna [24]

The easiest way is if it doesn't need to be simplified. Multiply -2.105 by $\frac{1000}{1000}$ . You get the fraction $-\frac{2105}{1000}$ . While this is technically the answer, you can simplify this down to $\frac{421}{200}$ . Because 421 is a prime number, this can not be simplified any further. Therefore, the solution is $\frac{421}{200}$ .

$\frac{421}{200}$ .

6 0

3 years ago