For this case we have the following equation:
h = -16t ^ (2) + 30t + 6
We substitute the value of h = 10 in the equation:
10 = -16t ^ (2) + 30t + 6
Rewriting we have:
0 = -16t ^ (2) + 30t + 6-10
0 = - 16t ^ (2) + 30t - 4
We look for the roots of the polynomial:
t1 = 0.144463904
t2 = 1.730536096
"the ball passes its maximum height, it comes down and then goes into the hoop". Therefore, the correct root is:
t = 1.730536096
Answer:
It goes into the hoop after:
t = 1.73 seconds
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is

where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get


Now, solve this.



Therefore, the future value is 371.293 algae.
0.95 is rational number
answer is option 2
a rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction
</span>
so 0.95 = 95/100
hope that helps
Answer:
df = (r - 1) * (c - 1)
Step-by-step explanation:
Chi square is calculated when simple random sampling is known and variable are categorical.
Four steps are included in chi-square:
(1) state the hypotheses
(2) formulate an analysis plan
(3) analyze sample data
(4) interpret results.
State the hypothesis is
null hypothesis: Variable a and variable b are independent.
H 1: Variable a and variable bare not independent.
Formulate analysis plan:
This plan describe the significance level and test statistic.
Analyze the sample data
We analyze the degree of freedom and expected frequencies.
The degree of freedom formula is
df = (r - 1) * (c - 1)
r = number of levels for one categorical variable
c = number of levels for the other categorical variable