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blagie [28]
3 years ago
14

Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Wr

ite and solve an equation to find the actual number of steps you took today.
Mathematics
2 answers:
ivolga24 [154]3 years ago
5 0

Answer:

7,000

Step-by-step explanation:

The number of actual steps is x.

x + x(.05) = 7350    This is actual steps plus the extra 5% equals the number shown on the tracker.

Pull out x

x (1+.05) = 7350

x (1.05) = 7350     Divide by 1.05

(x (1.05))/1.05 = 7350/1.05

x = 7,000

ahrayia [7]3 years ago
4 0
You would have taken 367.5 steps. you would divide 10% of the number by 2. to find 10% of the number you move the decimal point of one place
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Find a vector function that represents the curve of intersection of the paraboloid z=3x2+2y2 and the cylinder y=6x2. Use the var
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Answer:

\vec{r(t)}=t\hat{i}+6t^2\hat{j}+(3t^2+72t^4)\hat{k} \text{ For }t \in (-\infty, \infty)

Step-by-step explanation:

First plug the equation of y into the equation of z, so that we get their intersection:

We plug  

y=6x^2

Into: z=3x^2+2y^2

So, we get:

z=3x^2+2(6x^2)^2\\z=3x^2+2(36x^4)\\z=3x^2+72x^4

Then we set  

x=t  

And plug that in the equation y=6x^2 and the one we just got for z.

So that we get:

y=6t^2, z=3t^2+72t^4

Therefore, the vector function that represents the curve of intersection is:

\vec{r(t)}=t\hat{i}+6t^2\hat{j}+(3t^2+72t^4)\hat{k} \text{ For }t \in (-\infty, \infty)

3 0
3 years ago
Due to conservation efforts, the gray wolf has been removed from the endangered species list. There are now 25,000 in the world,
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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