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Anastaziya [24]
3 years ago
7

What is the average rate of change of the amount of the element over the 10-minute experiment? *

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

-2.7  g/min

Step-by-step explanation:

Given: a graph

To find: the average rate of change of the amount of the element over the 10-minute experiment

Solution:

A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.

From the graph,

change in x (time) = 10-0=10 minutes

change in y ( amount of the element) = 3.22-30=-26.78 g

So, average rate of change = \frac{-26.78}{10} =-2.7  g/min

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Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for .
sp2606 [1]

Answer:

\boxed{\rm \: Volume_{(Cylinder)}  \approx \: 307.7 \: m {}^{3}  } ( \rm \: nearest \: tenth  )

Step-by-step explanation:

Given:

  • radius = 7 metres
  • height = 2 metres
  • π = 3.14

To Find:

  • Volume of the cylinder

Solution:

Use the formulae of the volume of cylinder:

\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}

where,

  • π = 3.14
  • r = radius
  • h = height

According to the question:

  • radius = 7 metres
  • height = 2 metres

Substitute the values onto the formulae in order to find out the volume:

\rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} (2)

\rm \: Volume_{(Cylinder)} = \pi(49)(2)

\rm \: Volume_{(Cylinder)} = 98\pi

\rm \: Volume_{(Cylinder)} =  \: 98 \times 3.14

\rm \: Volume_{(Cylinder)} = 307.72  \: m {}^{3} \: (exact \: form)

\boxed{\rm \: Volume_{(Cylinder)}  \approx \: 307.7 \: m {}^{3} } \: ( \rm nearest \: tenth  )

<u>Hence,we can conclude that:</u>

The volume of the cylinder is approximately

307.7m³.

8 0
2 years ago
If 100 beach umbrellas have a mass of 865.2kg what is the mass of each umbrella
Readme [11.4K]

Answer:

8.652kg

Step-by-step explanation:

100 beach umbrellas = 865.2kg

1 beach umbrella = 865.2/100 kg

1 beach umbrella = 8.652kg (Ans)

8 0
3 years ago
What is an equation of the line in slope-intercept form? m = two-sevenths and the y-intercept is (0, –12)
Verizon [17]

Answer:

y = (2/7)x -12  (Answer Choice B)

Step-by-step explanation:

Take the given values (  m=2/7 and y-intercept (0,-12)  ) and substitute them into y = mx + b:

y = (2/7)x -12

7 0
3 years ago
For positive integers $n$, let $f(n)$ return the smallest positive integer $k$ such that $\frac{1}{k}$ has exactly $n$ digits af
disa [49]

Answer:

There are a total of 2011 integer divisors.

Step-by-step explanation:

The only primes p such that 1/p has finite spaces after the coma are 2 and 5. If we divide a number with last digit odd we will obtain 1 extra digit after the decimal point and if we divide a number by 5 we will obtain 1 more digit if that number has a last digit in the decimal which is not a multiple of 5.

If we take powers of those primes we will obtian one more digit each time. In order to obtain more digits it is convinient to divide by a power of 2 instead of a power of 5, because the resulting number will be smaller.

If we want 2010 digits after the decimal point, we need to divide 1 by 2 a total of 2010 times, hence f(2010) = 2²⁰¹⁰, which has as positive integer divisors every power of 2 between 0 and 2010, hence there are a total of 2011 integer divisors of f(2010).

3 0
3 years ago
Which point is located at (0,8)
nataly862011 [7]

The point (0, 8) simply means the x axis is 0 while the y axis is 8. The answer is C.

5 0
1 year ago
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