Answer:
d = 102 m
Step-by-step explanation:
A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. We need to find the distance covered by the skier. We know that, the distance covered by an object is equal to the sum of its journey. So,
distance = 36 m + 44 m + 22 m
Distance = 102 m
So, the skier's distance covered is 102 m.
Answer: A
Step-by-step explanation:
Because 2x3=5
Answer:
t = 9w
Step-by-step explanation:
Since you want to find the total amount of dollars (t), you will set the equation equal to that variable.
t = ____
Now, the question is asking for to find the total amount of money in a certain amount of weeks, so we know we'll calculate the total through the rate of <em>per week</em>.
t = _ * w
The last step is simply to find the rate of a bus pass <em>per week</em>. A bus pass costs $9 <em>every week</em>. So to find the total (t), you just have to multiply 9 by the number of weeks (w).
t = 9w
Hope this helps!
Let f(x)=g(x)/h(x)
The quotient rule states that:
f'(x)=[g'(x)h(x)-g(x)h'(x)]/[h(x)]²
From the expression given:
<span>y = (x + 1)^2(x2 + 1)^-3
y=(x+1)</span>²/(x²+1)³
where:
g(x)=(x+1)²
g'(x)=2(x+1)
h(x)=(x²+1)³
h'(x)=6x(x+1)²
hence to get the derivative of y we substitute in the formula:
y'=[2(x+1)(x²+1)³-6x(x+1)²(x+1)²]/[(x²+1)^6]
simplifying the above we get:
y[2(x+1)(x²+1)³-6x(x+1)^4]/[(x²+1)^6]
Answer:
r=3
Step-by-step explanation:
3(r - 7) = 4(2 - 2r) + 4
Distribute
3r -21 = 8 -8r +4
Combine like terms
3r -21 = 12 -8r
Add 8r to each side
3r +8r-21 = 12 -8r+8r
11r -21 = 12
Add 21 to each side
11r -21+21 =12+21
11r = 33
Divide each side by 11
11r/11 = 33/11
r = 3