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goldenfox [79]
3 years ago
10

The temperature of a chemical compound, in degrees Celsius, changes when the compound is exposed to UV light. The table below sh

ows the temperature of the compound, in degrees Celsius, x minutes after the compound is exposed to UV light.
x
0
2
4
6
8
f(x)
15
15.5
17
19.5
23

Write the quadratic function that corresponds to the given table of values in standard form, f(x) = ax2 + bx + c, where a, b and c are constants.

Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0
The temperature of the compound will follow this function: 1/8x^2+15 ( I could be wrong).

But how did I come up with this function ??
The standard of a quadratic equation is given...the x is given...the f(x) is given. Now plug these in correspondence to find the constants. The rest is algebra. If you are not getting this answer, let me see your work
ratelena [41]3 years ago
3 0

Hope I was able to help you

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Does anyone know how to solve this?
erik [133]

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

8 0
3 years ago
12th term calculator; find the 12th term of the sequence calculator; what is the 12th term of the fibonacci sequence; 3, 6, 12,
zmey [24]

Answer:

Step-by-step explanation:

21 because

3 0
1 year ago
Phoebe usually drives to work each day on a 12-mile road that is currently closed for construction. While the road is closed she
Mumz [18]

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

<h3>What is a Pythagoras theorem?</h3>

The square of the longest side is equal to the square of the sum of the othersides.

Before we can calculate the total distance, we will need to get the hypotenuse on  both sides using the Pythagoras theorem as shown:

H^2= 12^2 + 9^2

H² = 144 + 81

H² = 225

H = 15

For the other hypotenuse

h² = 12² + 5²

h² = 144 + 25

h²  = 169

h = 13 mils

The total distance = 5 + 15 + 9 + 13

The total distance = 42 miles

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

Learn more on Pythagoras theorem here: brainly.com/question/12306722

3 0
2 years ago
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has v
Serggg [28]

Step-by-step explanation:

that's for Part B

Part C: triangles PQR and P"Q"R" are not congruent since the corresponding sides are not equal

5 0
3 years ago
Sebastian received 200 in holiday presents.He deposited 70% of that money in his bank account. How much did he put his bank acco
VashaNatasha [74]

Answer:

$140 in the bank account

Step-by-step explanation:

0.70 (or 70%) of $200 = 140

70% of 100 = $70

$70 x 2 = $140

7 0
3 years ago
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