Answer: 41
Step-by-step explanation: I just took the test
Answer:
The ratio of the small sphere’s area to that of the big one is 25:64
Step-by-step explanation:
The area of a sphere can be calculated using the formula:
A = 4 π r^2
Now, since their radii are if the ratio 5:8, we can say that the radius of the small sphere is 5 while that of the big sphere is 8
For the small sphere, the value of the area will be 4 * π * 5^2 = 100 π unit
For the big sphere, the value of the area will be 4 * π * 8^2 = 256 π unit
The ratio of the smaller sphere to the larger sphere is;
100 π : 256 π
Divide through by 4
25: 64
-3n is negative when the value of n is positive. When the value of n is negative, the value of -3n is positive. Remember that when multiplying a positive and a negative, the product will be negative. If you are multiplying two numbers with the same sign, the product will be positive.
Quadratic Formula:
-b +/- √b² - 4ac
x = --------------------------
2a
In your equation 3x² + 5x + 2 = 0:
a = 3
b = 5
c = 2
Now, plug in these values into the formula.
-5 +/- √5² - 4(3)(2) -5 +/- √25 - 4(6)
x = -------------------------------- ⇒ x = -----------------------------
2(3) 6
-5 +/- √25 -24 -5 +/- √1 -5 +/- 1
x = ------------------------ ⇒ x = --------------- ⇒ x = --------------
6 6 6
-5 +/- 1
Split x = ------------ into two solutions by solving it.
6
-5 + 1 -4
x = ------------ = ------
6 6
-5 - 1 -6
x = ----------- = ------ = -1
6 6
The two final solutions are x = -1 and x = -4/6
Answer:
y = -2
Step-by-step explanation:
27 = 17 - 5y
27-17=17-5y-17
10=-5y
10/-5=-5y/-5
-2=y