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rosijanka [135]
3 years ago
12

Please anyone answer me

Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

A\frac{}{1}  = ∫g(x)dx =  ∫xdx =  \frac{1}{2}  {x}^{2}  | \frac{2}{0}  = 2

Area 2:

A\frac{}{2}  = ∫(g(x) - f(x))dx

= ∫(x -  {(x - 2)}^{2} )dx

=  ∫( - {x}^{2}  + 5x - 4)dx

= ( - \frac{1}{3}{x}^{3} +   \frac{5}{2} {x}^{2}  - 4x)   | \frac{4}{2}

= 2.67 - ( - 0.67) = 3.34

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

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Find the zeros of each functions by using a graph and a table. F(x)=x^2+9x+14
Cloud [144]

Zeroes of a function are the values of x when f(x) = 0

So to find the zeroes of the function from the graph search for the points whose y-coordinates = 0

The y-coordinates of the point = 0, if the points lie on the x-axis

That means the zeroes of the function are the points of intersection between the graph and the x-axis

let us see that in the graph

I will draw it and post it here

From the graph

The graph intersects x-axis at points (-7, 0) and (-2, 0)

Then the zeroes of the function are (-7, 0) and (-2, 0)

Let us make the table

x f(x)

-2 0

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1 year ago
Mean, median, and mode. easy! 19 points!
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The answer is the range. The outliner is anything that “lies outside.” Range is the highest#-lowest#. So 78-28 = 50, which is not close the numbers that occurred most often (in this case, the #s in the 30s).
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3 years ago
2.1(0.2x−1.4)=1.3(0.4x−3.5)<br><br> 25 points on the line<br><br> plz help
anastassius [24]

Answer:

x = 161/10 = 16.100

6 0
3 years ago
2. The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise
rusak2 [61]

Answer:

hey have made this a little more confusing than it has to be. Usually we use H+ in chemistry instead of t, but you can also use X, Y if it's easier where Y = -log(X) where X= hydronium and Y = pH.

Which also means Y=p(t) and X = t.

To graph this, I would suggest using values for X like 0.1, 0.2, 0.5, 0.7, 1.0, 1.5, or similar numbers. Then use your calculator to calculate Y values for each of these X values and plot them. You can also use a spreadsheet. If you have Excel I can help you to use it. Either way you can then use your graph to answer the questions in part 1 where Y = 0 and Y=1 and just read off the X values.

Part 2 is worded badly. It's ambiguous to say "raised by 0.5" since if you raise hydronium (= X) by 0.5, the change in pH (=Y) will vary depending on where you start. They meant "raise to 0.5", though they do say this at the end of the question. Anyway, you can easily read it off your graph using 0.5 as the X value.

Now to set up the exponential function this is much easier than it sounds. Just remember that a logarithm is the inverse of an exponent so they cancel each other out:  As an example log(10X) = X.

So applying here, just take this equation  Y = -log(X) and raise 10 to both sides of the equation:

10Y = 10-log(X)    which gives you 10Y = 1/X or more usefully X = 10-Y where again X= hydronium and Y = pH

Part 3, these questions actually have no relationship to anything in chemical reality, but are just exercises to see if you can manipulate the graph and function. But they do illustrate at least one interesting point. Note that in the equation

X = 10-Y

X can never =0. This makes sense since there is nothing you can raise 10 to that will make it zero. It also makes sense chemically since in water you can never have zero hydronium. Similarly using the other form

Y = -log(X)

You know X can also never be zero since you can't have log(0).

Now when they ask for a "Y intercept" they are asking for when X=0 which as stated is never in the above case. However when you transform the equation the ways they want you to, then maybe sometimes you can:

So for p(t) + 1 that really means Y = -log(x) + 1.  Still here you can not have a Y intercept (X can't =0) since you would still have log(0) which is forbidden.

But p(t+1) really means Y = -log(X+1). Here of course X can be zero since that just gives you log(1). So you have a Y-intercept.

I'll leave it for you to figure out the third one, the question being if you set X=0, will you get log(0)? If so, that's forbidden. If not, you will have a Y intercept.

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2 years ago
What is the radius of a sphere with a surface area of 100TCm ?
tensa zangetsu [6.8K]

The radius is 5cm

Step-by-step explanation:

The surface area of a sphere is given by:

SA = 4\pi r^2

Here

Given

SA = 100π cm^2

Putting the values in the formula

100\pi = 4\pi r^2\\r^2 = \frac{100\pi}{4\pi}\\r^2 = 25

Taking square root on both sides

\sqrt{r^2} = \sqrt{25}\\r = 5 cm

The radius is 5cm

Keywords: Surface area, Radius

Learn more about surface area of sphere at:

  • brainly.com/question/1388658
  • brainly.com/question/1386181

#LearnwithBrainly

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