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3 years ago

I don't understand how to solve this, sorry for the bad quality

Mathematics

2 answers:

Ket [755]3 years ago

8 0

All your doing is conversation in order to do so you have solve the exponent to make it easier for you . Example one 10^-2=0.01 = 1cm Do the same for all . You should get 10^-3=1mm 10^-9=1nm 10^4hz=1mhz I hope this helps you to start you with

Andrej [43]3 years ago

5 0

Whatever power the 10 is to, you move the decimal that many places to the
right (+) or left (-).

10^-2m = 0.1 m
10^-3m = 0.01 m
10^-9m = 0000000.1 m
10^6Hz = 10,000,000 Hz
10^9y = 10,000,000,000 y
10^6W = 10,000,000 W
10^3g = 10,000 g
10^3W = 10,000 W
10^-6s = 0.00001 s
10^9 B = 10,000,000,000

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

For the function f(x)=x2-4, fins the value of f(x) when x=6

garri49 [273]

$f(x)=x^2-4\\f(6)=6^2-4\\f(6)=32$

$f(x)=x*2-4\\f(6)=6*2-4\\f(6)=8$

P.S. Hello from Russia

7 0

3 years ago

Read 2 more answers

What are the x-intercepts of a parabola with a vertex of (-1,-16) and a y-intercept of (0,-15)?

Svetlanka [38]

The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16

Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}