Answer:
11.9 miles
Step-by-step explanation:
The length of the track is ...
C = 2πr = 2π(200 ft) = 400π ft
Then the length of 50 laps will be ...
50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft
The number of miles (m) this is can be found from ...
m(5280 ft) = 62,831.9 ft
m = 62,831.9/5280 ≈ 11.90 . . . . miles
50 laps is about 11.9 miles.
Answer:
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1 :
Equation at step 1 :
(2x2 + 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-3)
Add up the last 2 terms, pulling out common factors :
4 • (2x-3)
Step-5 : Add up the four terms of step 4 :
(x+4) • (2x-3)
Which is the desired factorization
Answer:
P(0,0) = 2/12 times 1/11 = 1/66
Step-by-step explanation:
For probability questions, think of each event happening separately, it makes the maths easier to understand. For example, in this question, do not think of the two boys taking a fruit at the same time - that makes the maths complicated
.
Let Daniel take a fruit first, then Sean can take a fruit. There are two parts to consider.
P
r
o
b
a
b
i
l
i
t
y
=
number of desirable outcomes
total number of possible outcomes
For Daniel: there are 12 different pieces of fruit in the bowl, he just takes one without choosing a specific fruit. (random)
The chance that Daniel takes an orange is
2
12
Of the 12 pieces of fruit. 2 are oranges.
Now Sean: the numbers of fruit in the bowl have changed. There are now only 11 pieces of fruit in the bowl, and only 1 is an orange.
The chance that Sean takes an orange is
1
11
Answer:
The answer is 6
Step-by-step explanation:
b(x) = |x+4|
b(-10) = |-10+4|
= |-6| (absolute value is always interested in +ve value)
= 6
