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Art [367]
2 years ago
13

One lap around the lake is 35 mile.

Mathematics
1 answer:
garri49 [273]2 years ago
5 0

The equation gives the equivalence of the distance travelled by Lucy

and the number of laps.

Correct response:

  • <u>A possible equation for the distance Lucy runs is; 4 × 35 miles = 140 miles</u>

<u />

<h3>Methods by which the equation is obtained</h3>

Given:

The distance of one lap round the lake = 35 miles

Number of laps Lucy runs = 4 laps

Therefore;

Distance Lucy runs = 4 × 35 miles = 140 miles

A possible equation for the distance Lucy runs is therefore;

  • Equation for the distance Lucy runs = n × 35 = 34·n

Where;

n = Number of laps

When n = 4, we have;

  • Distance Lucy runs = 4 × 35 miles = <u>140 miles</u>

Learn more about writing equations here:

brainly.com/question/19044068

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scoray [572]

Answer:

the last one(y=2(2/3)^x) is the correct answer

Step-by-step explanation:

I identify two coordinate on the graph (0,2) and (1,3) and I noticed only the last one gives you a appropriate output if you plug the correspond input value

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Watch help video<br> Find the exact length of the third side.<br> 50<br> 10
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40

a triangle has 180 degrees

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3 years ago
Complete the explanation of the procedure that can be used to solve 5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55. Then solve the e
Debora [2.8K]

Answer:

x =  2.

Step-by-step explanation:

5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55

5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55

5[5x + 10] - x - 15 = 14x + 55

25x + 50  - x - 15 = 14x + 55     Now we subtract 14x from both sides:

25x + 50  - x - 15  - 14x = 14x - 14x + 55

10x + 50 - 15 = 55 Now we subtract  50, add 15 to both sides:

10x + 50 - 50 - 15 + 15 = 55 - 50 + 15    

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8 0
3 years ago
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
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