Answer is 26.31%
The % of red marbles is 26.3157895
Answer: H
Step-by-step explanation:
Supplementary angles just mean they add up to 180 degrees. 180 degrees means that when the two angles are put together one of each of their sides will form a straight line.
Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
Answer:
Step-by-step explanation:
A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form
.
If our equation is 
, then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.
Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
