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Roman55 [17]
3 years ago
8

1

Mathematics
1 answer:
padilas [110]3 years ago
6 0
Answer: B

Trust me I took the test right now
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6.24x10^6 ( the first one)
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Divide and answer in simplest form: 6 ÷ 4/3
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3

Step-by-step explanation:

1) when dividing fractions change the sign to multiplication and flip the second fraction(reciprocal) upside down and multiply

\frac{6}{1} *\frac{3}{4} =\frac{12}{4}

12/4=3

hope this helps!

4 0
3 years ago
A pack of 6 batteries of the same type cost ?2.79 . By calculating the price per battery,determine if this is better value.You m
MissTica

Answer:

The full question is attached in the picture below.

The better price for the battery is given with the 6 pack.

(£ 0.47 per battery)

Step-by-step explanation:

If 8 batteries cost £ 3.99

This means that one battery is equal to

£3.99/8 = £ 0.49875 ≈ £ 0.50 per battery

The pack of 6 batteries costs £ 2.79

This means that one battery is equal to

£2.79/6 = £ 0.465 ≈ £ 0.47 per battery

Then, we can conclude than the 6 pack gives us a better price per battery

7 0
3 years ago
What is the midpoint of the segment shown below
Artyom0805 [142]

Answer:

wheres the points

Step-by-step explanation:

6 0
3 years ago
A group of rowdy teenagers near a wind turbine decide to place a pair of
Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is y = 9 + 7* sin(\pi * t / 15 - \pi  / 6)

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

x^2 + (y-yc)^2 = R^2 ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

9 + 7 * sin(10* w + \phi) = 16 ---------------(1)

Also, at t= 25s, y =2 m so we have,

9 + 7* sin(25 * w +\phi) = 2--------------(2)

Solving we have, 10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2

15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6  

Therefore y = 9 + 7* sin(\pi * t / 15 - \pi  / 6) is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0
3 years ago
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