First off, your handwriting needs a bit of help. Do you expect people to read that?
Answer: 6.6 miles
Step-by-step explanation:
Since he finished 22% of his skiing in the morning, that means he still has 78% (100% - 22%) of his skiing left.
The remaining 78% is equivalent to 23.4 miles. We need to know the total miles of the skiing. This will be:
78% of x = 23.4
0.78 × x = 23.4
0.78x = 23.4
x = 23.4 / 0.78
x = 30 miles
Since the total skiing is 30 miles and he has 23.4 miles left, the miles covered in the morning will be:
= 30 - 23.4
= 6.6 miles
Answer:
y= 250( 1-0.21)^x
Step-by-step explanation:
This represents exponential decay
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is
There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to
Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Answer:
x intercepts -sqrt(5), + sqrt(5)
y intercept -5
Step-by-step explanation:
y = x^2 -5
to find the x intercept set y=0 and solve for x
0 = x^2-5
add 5 to each side
5 = x^2
take the square root of each side
+- sqrt(5) = sqrt(x^2)
x = +-sqrt(5) there are 2 x intercepts since it is a quadratic
to find the y intercept set x=0 and solve for y
y = 0-5
y = -5
