Answer:
40 liters
Step-by-step explanation:
To find the total amount of water in the buckets, we need to multiply:
number of buckets x the amount of water in each bucket
Substitute:
number of buckets x the amount of water in each bucket
8 x 5
Solve:
8 x 5
= 40
Therefore, there are 40 liters of water in the buckets.
Answer:) Let p(x) = x51 + 51 . …(i)
When we divide p(x) by x+1, we get the remainder p(-1)
On putting x= -1 in Eq. (i), we get p(-1) = (-1)51 + 51
= -1 + 51 = 50
Hence, the remainder is 50.
Step-by-step explanation:
Using slope-intercept form
y=mx+b
y being the y value of a co-ordinate
x being the x value of a c-ordinate
m being the slope
b being the y intercept
You've been given slope of 1
and point (0,2) is the yintercept
Hence
y= x +2
Or USE ALGEBRA
IT"S SUPER FUN!!!!
x=0
y=2
m=1
b=?
y=mx+b
2=1(0)+b
b=2
Hence
y=x+4
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L=Lim tan(x)^2/x x->0
Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.
d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)
d(x)/dx = 1
=>
L=2tan(x)sec^2(x)/1 x->0
= (2(0)/1^2)/1
=0/1
=0
Another way using series,
We know that tan(x) = x+x^3/3+2x^5/15+.....
then tan^2(x), using binomial expansion gives
x^2+2*x^4/3+.... (we only need two terms)
and again apply l'Hôpital's rule, we have
L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1
=0 as x->0
