D = 0.5 + 20x + 0.5v
Initial distance covered d1 = 0.5km
If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;
Speed = Distance/Time
Distance d2 = speed × time
d2 = 20x
If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;
Distance d3 = 0.5v
If her total distance is D, then;
D = d1+d2+d3
D = 0.5 + 20x + 0.5v
Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v
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Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
Answer:
C) 155
Step-by-step explanation:
all these angles add up to 360, so --
25 + 34 + 146 + m<9 = 360
205 + m<9 = 360
m<9 = 155, C)
For this case we must find the value of the following expression:

We have to:

Substituting:

By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

So we have to:

Answer:

Option A
Answer:
111
Step-by-step explanation:
a1 = -12
a27 = 66
Now using the formula an = a1+(n-1)d we will find the value of d
here n = 27
a1 = -12
a27 = 66
Now substitute the values in the formula:
a27 = -12+(27-1)d
66= -12+(26)d
66 = -12+26 * d
66+12 = 26d
78 = 26d
now divide both the sides by 26
78/26= 26d/26
3 = d
Now put all the values in the formula to find the 42 term
an = a1+(n-1)d
a42 = -12 +(42-1)*3
a42 = -12+41 *3
a42 = -12+123
a42 = 111
Therefore 42 term is 111....