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seropon [69]
3 years ago
8

M(t)M, left parenthesis, t, right parenthesis models the distance (in millions of \text{km}kmstart text, k, m, end text) from Ma

rs to the Sun ttt days after it's at its furthest point. Here, ttt is entered in radians.
M(t) = 21\cos\left(\dfrac{2\pi}{687}t\right) + 228M(t)=21cos(
687
2π
​
t)+228M, left parenthesis, t, right parenthesis, equals, 21, cosine, left parenthesis, start fraction, 2, pi, divided by, 687, end fraction, t, right parenthesis, plus, 228
How many days later does Mars first reach 220220220 million \text{km}kmstart text, k, m, end text from the Sun?
Round your final answer to the nearest whole day.
Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

214

Step-by-step explanation:

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Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. The distance from the top of the swing
olga_2 [115]
This would be 12 - 12*cos(30) = 12 - 6\sqrt{3} =  1.608 ft off the ground. 
6 0
3 years ago
Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.
vodka [1.7K]

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1        a1=2

a18=3(18)-1   a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)  

Sn=18/2(2+53)  Solve for sn= 495

7 0
3 years ago
Somebody please help me with this !!!
Damm [24]

Step-by-step explanation:

Case 1 :

3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x =  \frac{6 - 2y}{3}  = \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) + y = 2 \\ 8 -  \frac{8y}{3}  + y = 2 \\  - 1.67y =  - 6 \\

y = 3.59 \\ x = 2 -  \frac{2y}{3}  \\x =  2 -  \frac{2 \times 3.59}{3}  \\  \\ x =  - 0.39

Case 2 :

3x + 2y = 6 \\ 4x  -  y = 2 \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) - y = 2 \\ 8 -  \frac{8y}{3}  - y = 2 \\   - 3.67y=  - 6 \\ y = 1.63

x = 2 -  \frac{2y}{3}  \\ x = 2 -  \frac{2 \times 1.63}{3}  \\ x = 2 - 1.087 \\ x = 0.913

7 0
3 years ago
Karen is waiting for a pot of soup to cool
Studentka2010 [4]

Answer:

It went down 5.5°C a minute.

Step-by-step explanation:

You have to look for the difference of 100 and 78, which is 22.

Divide the difference with the minutes (4), equalling 5.5.

4 0
3 years ago
Write an expression for the operation described below.<br> the product of 2 and c
PtichkaEL [24]

Answer:

2<em>c</em> or 2 x <em>c</em>

Step-by-step explanation:

Product means multiplication, they put 2 first then c last.

Hope this helps

~R3V0

3 0
3 years ago
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