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nikklg [1K]
2 years ago
13

Solving each equation: -10-3(x-2)=-(4+3x)

Mathematics
1 answer:
juin [17]2 years ago
3 0

Answer:

-4-3x = -4-3x

Step-by-step explanation:

-10-3(x-2)=-(4+3x)

-10-3x+6 = -4-3x

-4-3x = -4-3x

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Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the
monitta

Answer: 1.663\times 10^{30}\ gm

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

\Rightarrow P=21\cdot 2^{2t}

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm

7 0
3 years ago
will mark BRAINLIEST for correct answer. Find the sum. In your final answer, include your calculations. -3.45 + 5.1
Alexeev081 [22]

Answer:

-3.45+5.1=1.65

Step-by-step explanation:

You could use a calculator (just sayin)

4 0
3 years ago
Read 2 more answers
Please Help me. Also if you could show your work thatd be great.
Over [174]

Answer:

3) all \: real \: numbers, (  - \infty , \infty ), or -  \infty  \leqslant x \leqslant  \infty (same thing)

4) -  \infty  < y < 0 or ( -  \infty ,0) (same thing)

5) -2 or (0, -2) (same thing)

Step-by-step explanation:

3) Domain represents the amount of x-values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be all \: real \: numbers, (  - \infty , \infty ), or -  \infty  \leqslant x \leqslant  \infty(same thing).

4) Range represents the amount of y-values in a function. The function goes downward forever (- \infty  < y) by the indication of an arrow and halts just under the y-axis (y < 0). After combining these two inequalities, you see that the range is -  \infty  < y < 0 or ( -  \infty ,0) (same thing).

5) The y-intercept is where the function crosses the y-axis. In this function, the y-intercept is -2 or (0, -2) (same thing).

5 0
3 years ago
Limit as x approaches infinity: 2x/(3x²+5)
Nonamiya [84]
\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
5 0
3 years ago
last week you sold 30,45,50,75 and 80 units each day of the week in that order . On average how many units did you sell per day?
Butoxors [25]

Answer:

56 units

Step-by-step explanation:

add all numbers then divide by 5

30+45+50+75+80 = 280

280/5 = 56

4 0
3 years ago
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