Answer:
2 cups of apple juice
Step-by-step explanation:
In order to get one cup of cranberry juice, you would need to add the ratio, 1/4, four times. Since for every 1/4 cup of cranberry juice there is 1/2 cup of apple juice, add 1/2 four times
1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 cups
9514 1404 393
Answer:
C. (45+11i)/29
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
![\dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}](https://tex.z-dn.net/?f=%5Cdfrac%7B5-7i%7D%7B2-5i%7D%3D%5Cdfrac%7B%285-7i%29%282%2B5i%29%7D%7B%282-5i%29%282%2B5i%29%7D%3D%5Cdfrac%7B%285%29%282%29%2B%28-7i%29%285i%29%20%2B%285%29%285i%29%2B%28-7i%29%282%29%7D%7B2%5E2%2B5%5E2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%2810%2B35%29%2B%2824-14%29i%7D%7B29%7D%3D%5Cboxed%7B%5Cdfrac%7B45%7D%7B29%7D%2B%5Cdfrac%7B11%7D%7B29%7Di%7D)
Answer:
DANG some of these questions are from like 2017 and still havent been answerd
Step-by-step explanation:
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>
</span>
Finding the vertex of the parabola
<span>y = (x + 5)^2 + 8 the vertex is at (-5, 8)
its coefficient so the parabola turns upward so the range is [8 , inf]</span>