Um I think the answer is 3
Answer:
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Step-by-step explanation:
Let x represent the speed of the side walk and y represent her walking speed
It takes Jason's 8-year-old daughter Josie 44 sec to travel 176 ft walking with the sidewalk
Distance = speed × time
176 = (x+y)×44
44x+44y = 176
x+y = 4 .......1
It takes her 7 sec to walk 21 ft against the moving sidewalk in the opposite direction).
21 = (y-x)7
7y - 7x = 21
y - x = 3 ......2
Add equation 1 to 2
2y = 7
y = 3.5 ft/sec
From equation 1
x + y = 4
x = 4 - 3.5 = 0.5
x = 0.5 ft/sec
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Answer:
False
Step-by-step explanation:
To find the inverse of a function, switch the variables and solve for y.
The inverse of f(n)=-(n+1)^3:


![\sqrt[3]{n} =-(y+1)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-%28y%2B1%29)
![\sqrt[3]{n} =-y-1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-y-1)
![\sqrt[3]{n} +1=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%2B1%3D-y)
![-(\sqrt[3]{n} +1)=y](https://tex.z-dn.net/?f=-%28%5Csqrt%5B3%5D%7Bn%7D%20%2B1%29%3Dy)
![-\sqrt[3]{n} -1=y](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7Bn%7D%20-1%3Dy)
Assuming that b>0 and c>0:
log(a)=3×log(b)-2×log(c)=
log(b³)-log(c²)=
log(b³/c²)
Hence a=b³/c²