Answer:
a) 32
b)
Step-by-step Explanation:
Initial pattern has 7 sticks.
Second one has 7+5 sticks.
Third has 7+5+5 sticks.
.
.
.
Sixth has 7+5+5+5+5+5=32 sticks.
$n^{th}$ has $7+ 5(n-1)$ sticks.
Answer:
First choice is the correct one
Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.
Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
= [x(x+5)-(x+1)] / [x(x+2)]
= (x^2 + 5x - x - 1) / [x(x+2)]
= [(x^2 + 4x - 1)] / [x(x+2)]
Hope this helps :)
The rate at which the sound travels in km/hr is 0.142km/hr
<h3>Conversion of m/s to km/hr</h3>
If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;
1hr = 3600secs
1km = 1000m
Using the conversion factor in our dimensional analysis
5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr
5120m/s = 5120m/3600000
5120m/s = 0.142km/hr
Hence the rate at which the sound travels in km/hr is 0.142km/hr
learn more on dimensional analysis here: brainly.com/question/21510595
#SPJ1
0.000023 i hope that helps
Answer:
x ≤ 22
Step-by-step explanation:
≤ means less than or equal to
≥ means greater than or equal to