Answer:
48t^4
Step-by-step explanation:
First you simplify and cross out all the uneeded characters because this is a division equation
Then whatever is left you calculate it
Now, the cosecant of θ is -6, or namely -6/1.
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now
recall that
therefore, let's just plug that on the remaining ones,
now, let's rationalize the denominator on tangent and secant,
Answer:
so just add x to the first side
Step-by-step explanation:
for the expressions u need to just doo what it says
for the 5 less than x write X-5
for the times by two do x times 2
and so on
hope this helps
Answer:
Answer for question (a) is choice C. $129,574,501,848
Answer for question (b) is choice B. $153,274,185,397
Step-by-step explanation:
P = $23
r = 6%
t = 377 years
<u />
<u>If the money were compounded quarterly amount invested would be:</u>
<u />
A = P(1 + )^nt
A = $23(1 + )^4(377)
A = $129,574,501,848
<u>If the money were compounded continuously amount invested would be:</u>
<u />
A = P ×
Where (e) is the Euler's constant
A = $23 ×
A = $153,274,185,397
Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
For perpendicular lines, the slope of the required line is given by -1 divided by the slope of the given line.
5x + 3y = 0
3y = -5x
y = -5/3x
slope of the given line is -5/3.
Thus, the slope of the required line = -1/(-5/3) = 3/5
y - 3/4 = 3/5(x - 7/8)
5(y - 3/4) = 3(x - 7/8)
5y - 15/4 = 3x - 21/8
40y - 30 = 24x - 21
24x - 40y = -30 + 21 = -9
24x - 40y = 9.