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yKpoI14uk [10]
3 years ago
7

Help please, I’m not sure

Mathematics
1 answer:
JulijaS [17]3 years ago
4 0
\frac{ \frac{7}{24} }{ \frac{35}{48} } = \frac{2}{5}
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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-
Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0
3 years ago
4xsquared 12x 10 is less than or equal to 0 (or what multiplies to get 40 and adds to get 12)
g100num [7]
It either x=5 or x=-2 not sure which on 

5 0
3 years ago
Help please!!<br> asap no wrong answers<br> will give the crown symbol
Svetllana [295]

Answer:

4Hz

Step-by-step explanation:

Standard form of a sine or cosine function,

y = acos(b(x+c))

where a is the amplitude, b is the value to find the period. and c is the phase shift.

Period = \frac{2\pi}{b}

From the equation given in the question,

y = 3cos(8\pi \: t +  \frac{\pi}{2} ) \\ y = 3cos(8\pi(t +  \frac{1}{16} )) \:  \: (factorising \: 8\pi \: out)

We can see:

Amplitude = 3,

Period = \frac{2\pi}{8\pi} = 1 / 4

Phase Shift = 1 / 16

Now we want to find the frequency.

Frequency = 1 / Period

= 1 / (1/4)

= 4Hz

4 0
2 years ago
Read 2 more answers
Simplify the expression. If not possible, write simplified.<br> 3 - 2y +9
svlad2 [7]

Answer:

-2y + 12

Step-by-step explanation:

3 - 2y +9

Combine the constants

-2y +3+9

-2y + 12

6 0
2 years ago
Read 2 more answers
If d = m/v, what is the equation when solved for v? **please explain**
inn [45]
V= m/d.  When you get questions asking about density/mass/volume draw a triangle just like in the picture i have attached and with your finger cover up the one you are looking for. So to find the equation for volume you cover up volume and you are left with mass divided by density. 

8 0
2 years ago
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