1: 1.19 for 67.2 ounces is about 1.77 cents per ounce. However, $1.50 for 72 ounces is about 2.08 cents per ounce. Clearly, then, the first bottle is cheaper.
2. We simply divide 3/4 by 2 to get (3/4)/2=3/(4*2)=3/8.
3. If the length of the second is 20 feet compared to a 2-foot length for the first, the width of the second rectangle will be ten times the width of the first, so the width of the second rectangle is 10*8=80.
Answer:
Rotation then reflection
Step-by-step explanation:
The triangle starts where the light green one is. Then it is rotated 90 degrees clockwise around the point where the hypotenuse and longer leg meet. From the sark green triangle it is reflectd to where the purple triangle is.
Answer:
U = -5
Step-by-step explanation:
-8u = -7u + 5
-u = 5
u = -5
Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
21,985,233 to the millions place is 22,000,000
