The length is 6 and width is 3 or vice versa
Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
Answer:
x = 85
Step-by-step explanation:
To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:
180 - 155 = 35
Then add this and the known angle:
35 + 60 = 95
Then subtract this from 180 to get the missing angle for x:
180 - 95 = 85
They want to know the probability of landing in the blue and red section at the same time. In other words, they want to know the probability of landing in the purple section.
We'll need the area of the purple square. This square is 1.5 inches by 1.5 inches. This is because 4 - 2.5 = 1.5
So the purple square has an area of 1.5*1.5 = 2.25 square inches
Divide this over the total area of the largest square (which is 9x9) to get 2.25/81 = 0.02777... where the 7's go on forever
Round that to two decimal places. The final answer is 0.03
Side note: 2.25/81 is equivalent to the reduced fraction 1/36 (express 2.25/81 as 225/8100 and then divide both parts by the GCF 225)
First we clear y from the given equation
x + 10y = 260
10y = 260-x
y = (260-x) / (10)
Then, we evaluate the function within the domain of it
x = 0
y = (260- (0)) / (10)
y = (260) / (10)
y = 26
x = 10
y = (260- (10)) / (10)
y = (250) / (10)
y = 25
That is, you travel 1 mile in 10 minutes.
Therefore, traveling 26 miles will take:
(26) * (10) = 260 min
answer
it takes for the runner to reach the school 260min.