Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7;
we are tasked with calculating f(g(x))
This represents a composite function where we substitute g(x) into f(x)
Consequently, we find
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
Answer:
10,088 pounds
Step-by-step explanation:
Provided data
103 bushels of apples
102 bushels of grapes
101 bushels of oranges
With the respective weight per bushel:
Apples = 32 pounds
Grapes = 25 pounds
Oranges = 42 pounds
The total weight can be calculated by summing the products of each type:
Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds
Response:
The result is $43623.50
Detailed explanation:
This query involves compound interest.
The formula for calculating compound interest is
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Provided information
P= $2,500
r= 10/100= 0.1
t= 30 years
Inserting values into the compound interest formula and calculating A gives us
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The total amount is $43623.50
The balance in her account comes from Jenna’s (A annuity payments)
p(side effects|child) = 0.44
p(side effects|adult) = 0.14
Conclusion: children are significantly more likely to experience side effects compared to adults.
Step-by-step explanation:
I just completed it on apex. Good luck!
