Answer:
1.49 hrs or 1 hr and 30 minutes approximately
Step-by-step explanation:
if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.
so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.
now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.
to find the time divide distance traveled by speed;
4.160/2.8 = 1.49 hrs
Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
also,
1 can be written as 1⁵
therefore,
or
x = 1
Hence,
the two roots are x = 1 and x = 4
N=8 is the correct answer
Answer:
A
Step-by-step explanation:
Multiply top and bottom, on the top we get 5*1 which is 5 and on the bottom we get 6*2 which is 12.
Answer:
White: 28 Blue: 20 Red: 32
Step-by-step explanation: Make ratios. If 35% are White strands then it would be 35/100 = ?/80 you can use the butterfly method to solve this:
35*80 = ?*100
? = 28
Blue: 25/100 = ?/80
(you can use the butterfly method or you can simplify 25/100 into 1/4)
1/4 = ?/80
1*80 = ?*4
? = 20
Red: 40/100 = ?/80 (once again, you can simplify if you want)
4/10 = ?/80
4*80 = ?*80
? = 32