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vova2212 [387]
3 years ago
9

Nate walks 25 meters in 13.7 seconds. if he walks at the same rate, which of the following is closest to the distance he will wa

lk in 4 min?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0
Distance:time=25:13.7
ratio and propriton

4min=60sec*4=240sec

25/13.7=?/240
times both sides by 240*13.7
25*240=13.7?
6000=13.7?
divide both sides by 13.7
437.9562=?
about 438 meters
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vovangra [49]

The last image is the graph of y = 3^x

In fact, it is an increasing exponential function, and it passes through the points (0,1), which reflects the fact that 3^0=1 and (1,3), which reflects the fact that 3^1=3.

Now, y = 3^{x-4} is a child of the parent function we just described. Precisely, it is the result of the transformation f(x) \to f(x-4)

In general, every time you perform a transformation like f(x) \to f(x+k), you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.

Since in this case k = - 4, we have a horizontal translation of 4 units to the right.

So, the correct option is the third one, because:

  • The first graph is the parent function translated 4 units to the left
  • The second graph is the parent function translated 4 units down
  • The third graph is the parent function translated 4 units to the right
  • The fourth graph is the parent function
5 0
3 years ago
A baseball team won 2 games. They played 17 games total. Which ratio shows how many games they lost
Contact [7]

Answer:

15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2)  so the ratio is 15/17

6 0
3 years ago
How to solve this Algebra question?
PIT_PIT [208]
  • Slope formula: \frac{y_2-y_1}{x_2-x_1}

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: \frac{3k-4-k}{5-(-2)}=8

Next, combine like terms: \frac{2k-4}{7}=8

Next, multiply both sides by 7: 2k-4=56

Next, add 4 onto both sides of the equation: 2k=60

Lastly, divide both sides by 2 and <u>your answer will be k=30</u>

7 0
3 years ago
Describe the set of points z in the complex plane that satisfy the given equation; |z-2|=Re(z).
OLEGan [10]

Answer:

Parabola with vertex at point (1,0) that goes to the right (see attached diagram).

Step-by-step explanation:

Let the complex number z be

z=x+iy,

then

z-2=x+iy-2=(x-2)+iy\\ \\Re\ (z-2)=x-2\\ \\Im\ (z-2)=y\\ \\|z-2|=\sqrt{Re^2\ (z-2)+Im^2\ (z-2)}=\sqrt{(x-2)^2+y^2}

and

Re\ z=x

Thus,

\sqrt{(x-2)^2+y^2}=x

Square it:

(x-2)^2+y^2=x^2\\ \\x^2-4x+4+y^2=x^2\\ \\-4x+4+y^2=0\\ \\y^2=4x-4\\ \\y^2=4(x-1)

This is the equation of parabola with vertex at point (1,0) that goes to the right.

3 0
3 years ago
Annabella time for a race was 24.2 seconds. Another runnee's time was 6.43 seconds faster write and evaluate an equation with to
liberstina [14]

Answer:

Step-by-step explanation:

Given Annabella time for a race is 24.2 seconds, if another runnee's time was 6.43 seconds faster, then the time taken for another  runnee's time will be 24.2 - 6.43 = 17.77secs.

Let a variable X be the difference between annabelle's time and the other runners time.

X = annabelle's time  - other runners time.

X = 24.2 - (24.2 - 6.43)

X = 24.2-24.2+6.43

X = 6.43seconds

Hence the expression between annabelle's time and the other runners time is X = 24.2 - (24.2 - 6.43)

<em>The difference between annabelle's time and the other runners time is 6.43seconds</em>

8 0
4 years ago
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