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laiz [17]
3 years ago
11

Jonah is looking at some information for the obstacle course he is interested in completing. The x-coordinate is the number of t

he obstacle, while the y-coordinate is the average time to complete the obstacle, measured in minutes.
(1, 7.25), (2, 7.975), (3, 8.7725), (4, 9.64975)


Help Jonah use an explicit formula to find the average time he will need for the 9th obstacle.


A.f(9) = 7.25(1.1)9; f(9) = 17.095

B.f(9) = 1.1(7.25)8; f(9) = 8396469

C.f(9) = 1.1(7.25)9; f(9) = 60874407

D.f(9) = 7.25(1.1)8; f(9) = 15.541
Mathematics
2 answers:
madreJ [45]3 years ago
7 0

Answer:

D. y[9]=15.5410

Step-by-step explanation:

Let's find the answer by using the following observation:

Notice that the y-value differences between consecutives obstacles are:

(y-value from obstacule 2) - (y-value from obstacule 1)= 7.975 - 7.25 = 0.725

which is equal to:

(y-value from obstacule 1) / 10 = 7.25 / 10 = 0.725

So, an equation can be written as follows:

y[i+1]=y[i]+y[i]/10 let's find the other values:

y[2]=7.25+(7.25/10)= 7.975

y[3]=7.975+(7.975/10)= 8.7725

y[4]=8.7725+(8.7725/10)= 9.64975

Notice that we obtained the same y-values using the formula as the ones reported. So using the same formulas we can calculate:

y[9]=15.5410

In conclusion, the general equation is y[i+1]=y[i]+y[i]/10 with a starting point (1, 7.25) and y[9]=15.5410. So the answer is D.

Pavel [41]3 years ago
6 0

Answer:

D.) f(9) = 7.25(1.1)8; f(9) = 15.541

Step-by-step explanation:

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Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

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first change that equation to slope intercept form to find the slope

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5 0
3 years ago
Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit
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The square (call it S) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is \vec n=\vec\imath-\vec k, which is enough information to figure out the equation of the plane containing S:

(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x

We can parameterize this surface by

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for 0\le x\le\frac3{\sqrt2} and 0\le y\le3. Then the flux of \vec F, assumed to be

\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k,

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\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy

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Yo sup??

We can solve this questions by trying option verification.

We observe that 0 is common among all the options so 0 has to be a zero of the function.

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Hence the correct answer is option D ie 0,1,2

Hope this helps.

6 0
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