Answer:
The reasonable domain to plot the growth function is the interval [0,9]
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(d) is the radius of the algae in mm
d is the number of days
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=1+r
we have
we have
For f(d)=12.81 mm
substitute in the function and solve for d
Apply log both sides
therefore
The reasonable domain to plot the growth function is the interval [0,9]
Answer:
5 (x - 1) (4 x + 7)
Step-by-step explanation:
Factor the following:
20 x^2 + 15 x - 35
Factor 5 out of 20 x^2 + 15 x - 35:
5 (4 x^2 + 3 x - 7)
Factor the quadratic 4 x^2 + 3 x - 7. The coefficient of x^2 is 4 and the constant term is -7. The product of 4 and -7 is -28. The factors of -28 which sum to 3 are -4 and 7. So 4 x^2 + 3 x - 7 = 4 x^2 + 7 x - 4 x - 7 = 7 (x - 1) + 4 x (x - 1):
5 7 (x - 1) + 4 x (x - 1)
Factor x - 1 from 7 (x - 1) + 4 x (x - 1):
Answer: 5 (x - 1) (4 x + 7)
Distribute
3(x+3) = -2(2x-1)
3x+9 = -4x+2
Collect like terms
3x+4x = 2-9
7x = -7
x = -1
Answer:
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11%±3%.
Step-by-step explanation:
Data provided in the questions
Number of respondents = 1,000
Choose chocolate pie = 11%
margin of error = ±3 percentage points
Based on the above information,
The lower limit is
= 0.11 - 0.03
= 0.08
And, the upper limit is
= 0.11 + 0.03
= 0.14
So based on the above computation, the option c is correct as it represents the true population percentage of people with respect to the chocolate pie preference
Answer:
TZ = 10 units
UY = 12 units
ZW = 11 units
Step-by-step explanation:
Point Z is the centroid of ΔTUV.
Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1
Therefore, TZ = 2(ZX)
TZ = 2(5) = 10 units
UY = UZ + ZY
= UZ + 
= 
= 
= 12 units
ZW = 
= 
= 11 units
