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FrozenT [24]
3 years ago
12

Please help!! Will mark first answerer brainiest​!! Thank you so much!

Mathematics
2 answers:
Mrac [35]3 years ago
8 0
The answer is C i believe, always remember to add alike terms. 
Ksenya-84 [330]3 years ago
5 0
First distribute -5 to everything in the parentheses:

-15m^3 -35n^2

And simplify like terms:
-35n^2 + 8n^2 = -27n^2

Answer:
-15m^3 - 27n^2

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A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?
Ierofanga [76]

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is <em>wl</em> or <em>width </em>x <em>length</em>, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

5 0
2 years ago
Which graph shows y=3⌈x⌉+1?
vovangra [49]

Answer:

Its the bottom-right one

Step-by-step explanation:

Have a good day

8 0
2 years ago
What is the value of n so that the expression x^2 + 12x + n is a perfect square trinomial? (1 point)?
Rama09 [41]
X^2 + 12x + n
x^2 + 12x + (12/2)^2
x^2 + 12x + 6^2
n = 36
(x + 6)^2 will give you a perfect square.
6 0
3 years ago
4. Which expression is equivalent to the expression below?
maria [59]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

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

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

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

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

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.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

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

         m=10e^{0}\\\\m=10g

3 0
3 years ago
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