Answer:
2 cm (Answer B)
Step-by-step explanation:
This is a right triangle, and therefore the Pythagorean Theorem applies:
(shorter leg)² + (longer leg)² = (hypotenuse)²
In this case, (longer leg)² = (hypotenuse)² - (shorter leg)², or
(longer leg)² = (13 cm)² - (5 cm)², or:
(longer leg)² = 169 cm² - (25 cm²) = 144 cm²
The length of the longer leg is the square root of 144 cm², or 12 cm (Answer B)
Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
<u>Step-by-step explanation:</u>
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
Step-by-step explanation:
x²+3x-10
=x²+5x-2x-10
=x×(x+5)-2x-10
=x×(x+5)-2(x+5)
=(x+5)×(x-2)
=(x+5)×(x-2)
