Answer: 5h+4=A
Step-by-step explanation:
She gets five dollars an hour so for one hour she gets five dollars, for two hours she gets 2 times 5 dollars (10 dollars), for three hours she gets 3 times 5 dollars (15 dollars) etc...
Now replace the 1,2,3... with the variable representing the hour. In this case it would be h. So 5h=five dollars per hour. Because you only put the kid to bed once, you add four at the end
Answer:
20 dollars
Step-by-step explanation:
(x-5)(x+3)(x-(-1+2i))(x-(-1-2i))= (complex conjugate)
x² - x( -1+2i) - x(-1-2i) + (-1+2i)(-1-2i)
x² - x(-1+2i -1-2i) + (1+2i -2i +4) ---> because i² = -1
x² - x(-2) + (5) = x² + 2x +5
(x-5)(x+3)(x² + 2x +5)=
(x² -2x-15)(x² + 2x +5)=
x^4 -14x² -40x-75
Answer:
D
Step-by-step explanation:
Let's draw a picture (see attachment).
We know that since our point is (-5, -12), it must pass in the third quadrant. Now, if we drop a perpendicular line from the point (-5, -12) to the x-axis, we have a right triangle. Notice that we already know the two leg lengths of this: -5 and -12.
Cosine is adjacent / hypotenuse. Here, the adjacent side to the angle θ is -5. We need to find the hypotenuse, which we can do so by using the Pythagorean Theorem:
c² = a² + b²
c² = (-5)² + (-12)²
c² = 25 + 144 = 169
c = 13
So, the hypotenuse is 13. Now, plug these values in:
cos(θ) = adjacent / hypotenuse = -5/13
The answer is D.
Step-by-step explanation:
ball is hit from the ground level i.e h0=0
initial velocity=80
when the ball hits the ground it's height from the ground=0
substitute the data in the above function
0=-16t^2+80×t+0
t=0 is a solution but it is at the beginning of the projection
16t=80
t=5