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2 years ago

9

Evaluate the derivative of the given function for the given value of x. Yequalsstartfraction 3 x minus 6 over 4 x plus 5 endfrac

tion , xequals3

1 answer:

geniusboy [140]2 years ago

3 0

no rurio greob tryo yeu

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The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in ye

Reptile [31]

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

$\frac{y}{a} = e^{-0.00012\cdot t}$ (1)

Where:

$y$ - Current amount of carbon-14, no unit.

$a$ - Initial amount of carbon-14, no unit.

$t$ - Time, in years.

If we know that $\frac{y}{a} = 0.25$ , then the approximate age of the bone is:

$t = -8333.333\cdot \ln \frac{y}{a}$

$t\approx 11552.453\,yr$

The approximate age of the bone is approximately 11552 years.

4 0

3 years ago

Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not

jeka94

Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

<h3>What is a dot plot?</h3>

A dot plot is a graph shows the number of times each measure appears in the data-set.

From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

More can be learned about dot plots at brainly.com/question/24912483

7 0

2 years ago

Need help solving this problem

natka813 [3]

Answer:

Part 1: $\frac{11-x}{5}$ or $\frac{11}{5}-\frac{x}{5}$

Part 2: $\frac{9}{5}$

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get $5y=11-x$ (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

$\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}$

$y=\frac{11}{5}-\frac{x}{5}$

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is $\frac{11}{5}-\frac{x}{5}$ .

For the second part you must replace x with 2 since you need to find f(2).

$\frac{11-2}{5}$

Your answer for part 2 is $\frac{9}{5}$ .

3 0

2 years ago

Number 8 and 9 pls, if u answer u get brainlist rank!

mylen [45]

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is y = x + 12

Hope this helps!

:)

8 0

2 years ago

Which decimal is greater 4.4 or 7.7

VARVARA [1.3K]

7.7 is the greater decimal

8 0

3 years ago