Answer: x = 267
Step-by-step explanation: To find x, we need to subtract 500 - 233. This equals 267.
Coefficient of x is less than 0 then it's across the y axis
So f(x)=2^x ---> g(x) = 2^-x
Then translating it up 5 units, should be g(x) = 2^(-x) + 5
Answer is the last one
g(x) = 2^(-x) + 5
A=30+0.15t
B=30+0.15(200)=60
Answer:
Tom can dig 12 holes in 36 hours.
Step-by-step explanation:
Tom and Di ck dig 3 holes in 6 hours.
Tom works twice as fast as Di ck, so it is as if Tom is the same as 2 people at Di cks's speed and Di ck is as if it is 1 person at Di ck's speed. This means it is as if there are 3 people working at Di ck's speed.
Di ck working alone can dig 1 hole is 6 hours.
Tom can dig 2 holes in 6 hours.
Tom can dig 12 holes in 36 hours.
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120