Answer: x = 3.4
Step-by-step explanation: took the test and got it right. if you need help on this kind of work u can use things like (graphing gens) or math to help you more.
Answer:
40:70 becomes 20:35 which becomes 4: 7.
The answer is 4:7
Step-by-step explanation:
Answer:
13 + 5 + 37
Step-by-step explanation:
Answer:

Step-by-step explanation:
arithmetic sequence formula: 
where
is the first term and
is the common difference
Given:
⇒ 
⇒ 
Given:

⇒ 
⇒ 
Rearrange the first equation to make
the subject:
a = 32 - 9d
Now substitute into the second equation and solve for 
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of
into the first equation and solve for
:
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is: 
(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where

then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,

(b) The velocity after 3 seconds is

(c) The particle is at rest when its velocity is zero:

(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:

In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,

By definition of absolute value, we have

In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as

and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to
