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BigorU [14]
2 years ago
15

-24=5r+3r idk how to do it

Mathematics
1 answer:
sasho [114]2 years ago
8 0

Answer:

r = -3

Step-by-step explanation:

Add the like terms: 8r = -24

Isolate r by dividing each side by 8: r = -24/8

Simplify: r = -3

Hope this helps

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Help me please m, it due soon
allsm [11]
Surface area= 2(6x15)+2(7x15)+2(6x7)
=180+210+84
=474m

Volume=15x6x7
=630m^2
5 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
Product of 3.24<br><br> 0.45 x 0.72 <br><br> 0.45 x 72<br><br> 4.5 x 0.7<br><br> 4.5 x 7.2
natta225 [31]

Answer:

4.5 x 0.72

Step-by-step explanation:

I AM ASSUMING THAT YOU FORGOT TO ADD 2 AFTER 0.7 IN 4.5 x 0.7

4 0
2 years ago
Read 2 more answers
I.5y=2x-5<br> II.5y=4+3x<br> III.5y-3x=-1
Ratling [72]

Answer:

Step-by-step explanation:

the vale of x differs in each situation are we talking AB value

6 0
3 years ago
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1
dimaraw [331]

The recursive formula for the arithmetic sequence is given as follows:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The recursive formula for the sequence is given by:

a_n = a_{n-1} + d

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

a_1 = 8, r = 13

Hence, the recursive sequence is given by:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

#SPJ1

3 0
1 year ago
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