Answer:
Distance = rate x time or d = rt...that means time t = d/r...and we have
t = 21 km / .5 km/hr = 42 hr
Step-by-step explanation:
9514 1404 393
Answer:
A. {1, 7, 11}
Step-by-step explanation:
The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.
_____
If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":
(2x -1)x +1
For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11
For x = 0, this is 1
For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7
So, the range for the given domain is {1, 7, 11} . . . . . matches choice A
Answer:
14.58 m3
Step-by-step explanation:
here, breadth (b) = 4cm
length (l) = 6cm
volume (v) = 350cm3
height (h) = ??
we know, volume of cuboid=
length × breath× height
or, v = L× B × H
or, 350 = 6 × 4 × H
or, 350 = 24 × H
or, 350/25 = H
or 14.58 = H
therefore, H = 14.58cm3
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)