Answer:
58/15
Step-by-step explanation:
1/6 a^2 + 9/10 b
Let a = -4 and b = 4/3
1/6 ( -4)^2 + 9/10 ( 4/3)
PEMDAS says powers first
1/6 (16) + 9/10 ( 4/3)
Then multiply
16/6 + 6/5
Simplify
8/3 + 6/5
Get a common denominator
8/3 *5/5 + 6/5 *3/3
40/15 + 18/15
58/15
Answer:
6.15 × 10⁵
Step-by-step explanation:
When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).
Therefore, 615000 = 6.15 × 10⁵
All these equations are in the form of ax^2 + bx + c = 0, where a, b, and c are some numbers. the discriminants of equations like this are equal to b^2 - 4ac. if the discriminant is negative, there are two imaginary solutions. if the discriminant is positive, there are two real solutions. if the discriminant is 0, there is one real solution.
<span>x^2 + 4x + 5 = 0
</span>b^2 - 4ac
4^2 - 4(1)(5)
16-20
-4, two imaginary solutions.
<span>x^2 - 4x - 5 = 0
</span>b^2 - 4ac
(-4)^2 - 4(1)(-5)
16 + 20
36, two real solutions.
<span>4x^2 + 20x + 25 = 0
</span>b^2 - 4ac
20^2 - 4(4)(25)
400 - 400
0, one real solution.
Answer:
12m
Step-by-step explanation:
Answer: 1859.5 mini bears
Step-by-step explanation:
From the information given in the question,
10 mini bars = 12.1 grams
10 regular bars = 23.1 gram
1 super bear = 2250 grams
To eat enough mini bears to match the super bears, the number that it'll take will be:
Since 10 mini bars = 12.1 grams
1 mini bear = 12.1 grams / 10 = 1.21 gram
Since 1 super bear = 2250 grams, the number of mini bears needed to equate this will be:
= 2250/1.21
= 1859.5 mini bears