This must be on the moon as the acceleration due to gravity in this equation must be around 1/8 that on earth. :) Anyway...
h=-2t^2+9t+11
A)
dh/dt=-4t+9, when velocity, dh/dt=0, it is the maximum height reached
dh/dt=0 only when 4t=9, t=2.25 seconds
h(2.25)=21.125 ft (21 1/8 ft)
B)
As seen in A), the time of maximum height was 2.25 seconds after the squirrel jumped.
C)
The squirrel reaches the ground when h=0...
0=-2t^2+9t+11
-2t^2-2t+11t+11=0
-2t(t+1)+11(t+1)=0
(-2t+11)(t+1)=0, since t>0 for this problem...
-2t+11=0
-2t=-11
t=5.5 seconds.
Answer:
13.8%
Step-by-step explanation:
P = nCr pʳ qⁿ⁻ʳ
P = ₉C₅ (0.37)⁵ (1−0.37)⁹⁻⁵
P ≈ 0.138
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all
The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases
Answer: option C
The equation
can be used to find the measure of ∠BAC ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ ABC
∵ ∠ BCA is a right angle
∴ The hypotenuse is AB
∵ The adjacent side to ∠CAB is AC
∵ The opposite side to ∠CAB is BC
∵ AB = 13 units ⇒ hypotenuse
∵ CB = 12 units ⇒ opposite
∵ AC = 5 units ⇒ adjacent
- Let us find the trigonometry ratios of angle BAC
∵ m∠CAB is x
∵ ![sin(x)=\frac{BC}{AB}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
∴ ![sin(x)=\frac{12}{13}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7B12%7D%7B13%7D)
∴ ![x=sin^{-1}(\frac{12}{13})](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%28%5Cfrac%7B12%7D%7B13%7D%29)
∵
∴ ![cos(x)=\frac{5}{13}](https://tex.z-dn.net/?f=cos%28x%29%3D%5Cfrac%7B5%7D%7B13%7D)
∴ ![x=cos^{-1}(\frac{5}{13})](https://tex.z-dn.net/?f=x%3Dcos%5E%7B-1%7D%28%5Cfrac%7B5%7D%7B13%7D%29)
∵
∴
∴ ![x=tan^{-1}(\frac{12}{5})](https://tex.z-dn.net/?f=x%3Dtan%5E%7B-1%7D%28%5Cfrac%7B12%7D%7B5%7D%29)
The equation
can be used to find the measure of ∠BAC
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
#LearnwithBrainly
Answer:
4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.