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Anna11 [10]
3 years ago
12

PLEASE HELP ME!!! taking a test rn & need help!!!!

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

After 30 years 204 g of the substance will be left.

Option C is correct option.

Step-by-step explanation:

The function given is: A=600e^{-0.036t}

where t is time in years.

We need to find how much of the  substance will be left in the sample after 30 years?

So, we have t= 30

Putting value of t and find value of A

A=600e^{-0.036t}\\A=600(\frac{1}{e^{0.036*30}})\\A=\frac{600}{e^{1.08}} \\A=\frac{600}{2.94467}\\A=203.75 \approx 204

So, After 30 years 204 g of the substance will be left.

Option C is correct option.

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On the last chemistry exams a student scored 83, 89, and 92. What score must the student earn on the next exam to have an averag
Dmitrij [34]

In order to get an average of 90, the student needs to get a score of 96.

The average can be found by summing up all the numbers in a data set and then dividing it by the number of characters in that dataset.

Assuming the average is 90, and that the score the student needs to get is x, the formula would be:

<em>Average = Sum of scores / Number of scores </em>

90 = (83 + 89 + 92 + x) / 4

90 x 4 = 264 + x

x = 360 - 264

x = 96

The student needs to get a score of 96 on the last exam.

<em>Find out more at brainly.com/question/13406591.</em>

5 0
2 years ago
Simplify (5^x+2-5^x)/5^x×4
murzikaleks [220]

Answer:

6

Step-by-step explanation:

The given expression is,

\frac{5^{x+2}-5^x }{5^x\times4}

Now, we know that,

a^{m+n} = a^m . a^n

Then,

5^{x+2}=5^x . 5^2

So,

\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x.5^2-5^x}{5^x\times4}

Now, taking 5^{x} common from the numerator of the given expression, then

\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x(5^2-1)}{5^x\times4}

\implies\frac{5^{x+2}-5^x }{5^x\times4}=\frac{5^2-1}{4}

\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5\times5-1}{4}=\frac{25-1}{4}

\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{24}{4}=6

So, the simplified form of the given expression gives the result 6.

8 0
4 years ago
Find the equation of the line that passes through the points (2, 8) and (-2, 6).
OLEGan [10]

The correct answer is C. y = 1/2x + 7

In order to find this, we first have to look for the slope. We can do that by using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - 6)/(2 - -2)

m = 2/4

m = 1/2

Now we can solve using the slope intercept form and a given point.

y = mx + b

8 = 1/2(2) + b

8 = 1 + b

7 = b

Now we can put these into the equation and model as y = 1/2x + 7

4 0
4 years ago
14. The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is __________.
maks197457 [2]

Answer:

The range of the data is 19.

Step-by-step explanation:

To solve this problem, we must remember that to calculate the range, we subtract the smallest data point in the set from the largest data point.  In this case, the largest number is 25 and the smallest number is 6.

Therefore the range is:

25 - 6

= 19

Hope this helps!

4 0
4 years ago
Read 2 more answers
Find mZabc <br> (6x-7)<br> (4x+23)<br> 15<br> 90<br> 83<br> 41
Studentka2010 [4]

Answer:

<h2>15</h2>

Step-by-step explanation:

Let x = m∠abc

6x-7 = 4x+23

⇔

6x - 4x = 23 + 7

⇔

2x = 30

⇔

x = 15

3 0
3 years ago
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