G(x)= (x+4) 2+3 is the answer
Answer:
88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.
Step-by-step explanation:
Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
Answer:
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
Hope this helps!
What is the volume of the crushed ice?
volume of the cone = π r² h/3
volume of the small cone = 3.14 * (3in)² * 3in/3
volume of the small cone = 3.14 * 9in² * 1in
volume of the small cone = 28.26 in³
volume of the big cone = 3.14 * (3in)² * 15in/3
volume of the big cone = 3.14 * 9in² * 5in
volume of the big cone = 141.30 in³
volume of the crushed ice = 141.30 in³ - 28.26 in³ = 113.04 in³