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vesna_86 [32]
3 years ago
11

You might need: Calculator Problem Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while

inside a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a rate of 44 meters per second. After 33 seconds, he was 1313 meters below the edge of the volcano. How far was Zane below the edge of the volcano when he started climbing? How long did it take Zane to reach the edge of the volcano?
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

Zane climb up in 33 seconds

44•33 = 1452 m.

so, Zane start from 1313 + 1452 = 2765 m below the edge.

to reach the edge with constant speed, Zane need 2765/44 = 62.84 seconds

we can round it to 63 seconds

Lesechka [4]3 years ago
6 0

Answer: Zane was 25 meters below the edge of the volcano when he started and he took 6.25 seconds to reach the edge of volcano.

Step-by-step explanation:

Since wee have given that

Speed at which he climb up = 4 meters per second

After 3 seconds, he was 13 meters below the edge of the volcano.

When he started climbing, Position of him below the edge of the volcano is given by

3\times 4+13\\\\=12+13\\\\=25\ meters

Time taken by Zane to reach the edge of the volcano is given by

=\dfrac{Distance}{Speed}\\\\=\dfrac{25}{4}\\\\=6.25\ seconds

Hence, Zane was 25 meters below the edge of the volcano when he started and he took 6.25 seconds to reach the edge of volcano.

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ikadub [295]

In order to solve this problem, we transform the statements into algebraic expressions. First, we assign the variables.

 

Let:

x = Gina’s number

y = Sara’s number

 

For the first equation, we show that Gina’s number is greater than Sara’s number by 2. For the second equation, we show that the sum of both numbers is 68.

<span>(1)  </span>x – y = 2

<span>(2)  </span>x + y = 68

 

<span>We add the two expressions, which result in the expression: 2x = 70. Then we divide 70 by 2 to get the value of x. We then have x = 35. Using the second equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s number is 35 while Sara’s number is 33.</span>
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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

(x - h) {}^{2}  + (y - k)  {}^{2}  =  {r}^{2}

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

( {x}^{2}  + 8x) +(  {y}^{2}  - 4y) = 7

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

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Answer:

Domain is all real numbers.

The range is \{y|y\le 6\}

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The function is decreasing over (-2,\infty)

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-----------------This is a guess if I had interpreted your choices correctly:

Second option: The range is \{y|y\le 6\}

Third option:  The function is increasing over (-\infty,-2).

Last option:  The function has a positive y-intercept.

I can't really read some of your choices. So you can read my above and determine which is false. If you have a question about any of what I said above please let me know.

Note: I guess those 0's are suppose to be infinities? I hopefully your function is f(x)=-x^2-4x+2.

Step-by-step explanation:

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So the highest y-coordinate is 6.  The range is therefore (-\infty,6].

If you picture the upside down U in your mind and you know the graph is symmetrical about x=-2.

Then you know the parabola is increasing on (-\infty,-2) and decreasing on (-2,\infty).

So let's look at the intevals they have:

So on (-\infty,-2) the function is increasing.

Looking on (-4,\infty) the function is increasing on (-4,-2) but decreasing on the rest of that given interval.

The function's y-intercept can be found by putting 0 in for x:

-(0)^2-4(0)+2

-0-0+2

0+2

2

The y-intercept is positive since 2>0.

8 0
3 years ago
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