Answer:
14.0 inches
Step-by-step explanation:
I took the quiz and got it right!
There are 52 cards in a standard deck so that would be the whole in the part/whole equation so
i... There are 13 spade cards and then 3 other aces since there are 4 suits of cards so 16/52 or about 0.30769 or 30.8% rounded
ii....There are 2 reds of each card in a standard deck along with 2 blacks so there would be 2 red kings which would be a 2/52 chance or about 0.0384 or 3.8% rounded
iii.... There are 4 kings and 4 queens in each deck so (52-8)/52 which is a 44/52 chance, 0.8461 about, or 84.6% rounded
iv..., As I said in iii, there are 8 kings and queens so an 8/52 chance, about 0.1538, or 15.4% rounded
Answer:
- g(x) = x^2 +2
- f(g(x)) = 1/(x^2 -3)
Step-by-step explanation:
A. g(x) is given:
g(x) = x^2 +2
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B. f(g(x)) = f(x^2 +2) = 1/((x^2 +2) -5) . . . . substitute for g(x) and simplify
f(g(x)) = 1/(x^2 -3)
In order to solve for a variable, you need to get it by itself on one side of an equation. Depending on the equation, there are different steps to do that.
Answer:
Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse
Step-by-step explanation:
Sue's kayaking path is the hypotenuse of a right triangle.
so we use a squared + b squared = c squared
10.5^2+3.2^2=c^2
110.25+10.24=c^2
120.49=c^2
10.9768=c
and then because it said to round to the nearest tenth that would be 11.0 miles.
She's going at an average speed of 3.3 mph
that means it takes her about .3 hours to do 1 mile
so it would take her 3.3 hours to go 11 miles
marty is going at an average speed of 7 mph
so she takes 0.14 hours to go 1 mile
0.14 x 25 = 2.5
