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Amiraneli [1.4K]
3 years ago
12

What is the quotient?7-4ーks130-5○ 75〇fl517 777-7C园燜

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0
Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{7^{-4}}{7^{-9}}=7^{-4-(-9)}=7^{-4+9}=7^5
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In a box of 720 pens,40% of the pens are blue. how many blue pens are there in the box?
romanna [79]

Answer:

<em><u>blue</u></em><em><u> </u></em><em><u>pens</u></em><em><u>=</u></em><em><u>288</u></em>

Step-by-step explanation:

<em>blue</em><em> </em><em>pens</em><em>=</em><em>720×40%</em>

<em>blue</em><em> </em><em>pens</em><em>=</em><em>720×40/100</em>

<em>blue pens</em><u>=</u><u>288</u>

4 0
3 years ago
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Which expression is equivalent to 14x – 21?
Vlad1618 [11]
The common factor is 7 so its

7(2x - 3)

8 0
3 years ago
Betty had $70. She bought a necklace for $9 and a ring for $7. Which expression correctly shows the total money Betty has left?
Elodia [21]
70 - 9 - 7 = x 70 being the original amount 
4 0
3 years ago
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A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
Fill in the missing terms of the arithmetic sequence,<br> -7. 1,5-13
LenKa [72]

Answer:

-3, 9

Step-by-step explanation:

The constant is 4.

7 0
3 years ago
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