Using the vertex of the quadratic equation, it is found that:
The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is given by:
h(t) = -4.9t² + 64t + 136.
The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
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Answer:
The answer is given below
Step-by-step explanation:
Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:
For the male:
μ = 3259.8 g, σ = 869.7 g
Hence for a male who weighs 1600 g, the z score is:
For the female:
μ = 3000.9 g, σ = 550.8 g
Hence for a female who weighs 1600 g, the z score is:
Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.
Answer:
<em>Avram will have to pay $7,047 simple interest</em>
Step-by-step explanation:
<u>Simple Interest</u>
Definition: Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=A.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Avram has a principal of P=$14,500 at a simple rate of r=5.4%=0.054 for t=9 years, thus:
I=14,500*0.054*9=7,047
I=$7,047
Avram will have to pay $7,047 simple interest
17.156 is the rational number, if the number can be put into fraction form then it is considered rational
1-8=1 easy math but heres help
