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Artyom0805 [142]

3 years ago

15

5?10 5 5, dot, 10, start superscript, 5, end superscript is how many times as large as 1\cdot10^51?10 5 1, dot, 10, start supers

cript, 5, end superscript?

1 answer:

max2010maxim [7]3 years ago

4 0

Answer:

5 times as large

Step-by-step explanation:

The ratio of the two numbers tells you how many times as large one is as the other:

$\dfrac{5\cdot 10^5}{1\cdot 10^5}=\dfrac{5}{1}\cdot\dfrac{10^5}{10^5}=5$

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A= l x b
70 = 14b
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Joanne bought a box of pens for $3.75. There are 100 pens in a box. The pens individually cost 7 cents. How much money did she s

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The answer is C) $7.00

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

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3 years ago

Carpet for a room measure 3 m by 2 m how many square meters do I need

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3 years ago

When 5 times a number is added to 45 the answer is the sm of 85 and 140 what is the number

zimovet [89]

Hello.

First, let the number be r.

5 times r is written like this:

$\rm{5r}$

Now, add 45:

$\mathrm{5r+45}$

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

$\mathrm{5r+45=85+140}$

In order to solve this equation, we need to add 85 and 140:

$\mathrm{5r+45=225}$

Now, subtract 45 from both sides:

$\mathrm{5r+45-45=225-45}$

$\mathrm{5r=225-45}$

$\mathrm{5r=180}$

The last step is to divide both sides by 5:

$\mathrm{r=36}$

Therefore, the answer is

$\rm{r=36}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

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2 years ago