Total distance traveled = 4 + 6 = 10 miles
Total time = 15 + 25 = 40 minutes
Speed = 10 miles ÷ 40 minutes = 0.25 mph
Answer:
D h(x) = f(x)×g(x)
Step-by-step explanation:
h(x) has a wave with 2 changes in direction.
so, this needs to be an expression of the third degree (there must be a term with x³ as the highest power of x).
and that is only possible when multiplying both basic functions. all the other options would keep it at second degree (x²) or render it even to a first degree (linear).
I've answered your other question as well.
Step-by-step explanation:
Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.
Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3
⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab
Substituting a=sin2(x) and b=cos2(x), we have:
sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)
Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:
sin6(x)+cos6(x)=1−3sin2(x)cos2(x)
From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)
Meaning the expression can be rewritten as:
sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)
The probability that an interaction lasts longer than 4 minutes is 0.0062.
<h3>What is probability theory?</h3>
probability theory in mathematics focus on the analysis of random phenomena and this theory let us know that the outcome of a random event cannot be determined before it occurs.
z = (4 - 3)/.4
z = 1/.4
z = 2.5
0.0062
Hence The probability that an interaction lasts longer than 4 minutes is 0.0062.
Read more on the probability here:
brainly.com/question/3248965
#SPJ1
Step-by-step explanation:
Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.
I'd say it's the 3rd option:
"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."
but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.