If we are looking for the hypotenuse the answer is, 114.69. If the h is the hypotenuse then you would have 36 for leg b.
Answer:
That (blank) is 9.
Step-by-step explanation:
Please write 8x^2 - 48x = -104, with " ^ " indicating exponentiation. Thanks.
This sounds like a perfect example of "completing the square."
First, factor 8x^2 - 48x = -104: 8(x^2 - 6x = -13).
If we focus SOLELY on x^2 - 6x = -13, it's just a little easier to "complete the square." Take half of the coefficient of x (which here is -6), and square that result (which here is (-3)^2, or 9. Now add 9 both sides of x^2 - 6x = -13:
x^2 - 6x + 9 = -13 + 9. Note: The "blank" in the problem statement is 9.
We could go ahead and solve this, tho' we weren't asked to do so. Rewrite x^2 - 6x + 9 as (x - 3)^2:
x^2 - 6x = -13 then becomes (x - 3)^2 = 4. To solve for x, take the sqrt of both sides of this latest result, obtaining x - 3 = plus or minus 2. Add 3 to both sides to isolate x: x = 3 plus or minus 2.
Thus, x = 5 or x = 1.
Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
Answer:
Total, T = (300s+200b+42d) mg
Step-by-step explanation:
Given that,
Kayson mixes 300 mL spinach, 200 mL of berries, and 42 mL of dressing to make a salad.
There are s mg of vitamin C per mL of spinach, b mg per mL of berries, and d mg per mL of dressing.
In 300 mL of spinach vitamin C is = (300 s)mg
In 200 mL of berries vitamin C is = (200 b)mg
In 42 mL of salad vitamin C is = (42 d)mg
It means that, total mg of vitamin C is :
Total, T = (300s+200b+42d) mg
Hence, this is the required solution.
