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Nostrana [21]
2 years ago
10

Can you please help me...Thank you!

Mathematics
1 answer:
ZanzabumX [31]2 years ago
8 0

Answer:

the answer is the last one.

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A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation? Please explain why A is the corr
Fiesta28 [93]

Answer:

A

Step-by-step explanation:

The first answer is correct because we have a decay factor.

The sample is losing mass, so the number that is being multiplied by a power of x must be less than 1.

If the second answer were used, then the sample would be gaining mass.

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X = ?<br><br>Find the composite function 20 points and brainliest
masha68 [24]
Answer:

Explanation:

fg(x) = (x+2)(3x^2 - 1)
= 3x^3 - x + 6x^2 - 2
= 3x^3 + 6x^2 - x - 2

gf(x) = (3x^2 - 1)(x + 2)
= 3x^3 + 6x^2 - x - 2

As you can see:

fg(x) = gf(x)
3x^3 + 6x^2 - x - 2 = 3x^3 + 6x^2 - x - 2
5 0
2 years ago
How many terms are in the simplified expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2
Vilka [71]

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3 years ago
Read 2 more answers
50 points! I understand A. and B. but I would really appreciate help with C.
FromTheMoon [43]

Answer:

51.72\text{ cells per hour}

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

P(t)=6.10t^2-9.28t+16.43

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]

Expand:

P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]

Differentiate. Use the power rule:

P'(t)=6.10(2t)-9.28(1)

Simplify:

P'(t)=12.20t-9.28

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

P'(5)=12.20(5)-9.28

Multiply:

P'(5)=61-9.28

Subtract:

P'(5)=51.72

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0
2 years ago
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