Answer:
44 feet
If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.
So, the horse must be 44 feet ahead to be safe. Hope it helps!
53). 100 servings / 20 people = (100/20) (svngs/ppl)
= 5 servings per person.
Each person gets 1/20 = 5% = 0.05 of the pan.
54). 100 servings / 40 people = (100/40) (svngs/ppl)
= 2.5 servings per person.
Each person gets 1/40 = 2.5% = 0.025 of the pan.
55). 100 servings / 30 people = (100/30) (svngs/ppl)
= (3 and 1/3) servings per person.
Each person gets 1/30 = (3 and 1/3) % = 0.0333... of the pan.
d/dx cos^2(5x^3)
= d/dx [cos(5x^3)]^2
= 2[cos(5x^3)]
= - 2[cos(5x^3)] * sin(5x^3)
= - 2[cos(5x^3)] * sin(5x^3) * 15x^2
= - 30[cos(5x^3)] * sin(5x^3) * x^2
Explanation:
d/dx x^n = nx^(n - 1)
d/dx cos x = - sin x
Chain rule:
d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)
Answer:
3
Step-by-step explanation:
plug in the values in the formula of volume of cone
18pi=pi(x^2)(2x)(1/3)
then solve for x
multiply both sides by 3 : 54pi = pi(x^2)(2x)
divide pi from both sides : 54 = (x^2)(2x)
divide 2 from both sides : 27 = x^3
cube root of both sides : 3 = x
Answer:
y= 1/2x + 17/2
Step-by-step explanation:
First, find your slope using y-y1/x-x1. This is your expression: 10-6/3--5. 10-6 equals 4, and 3--5 equals 8. Your slope is 4/8, but it can be simplified to 1/2. This should be your current equation: y=1/2x+b. Plug in one of your ordered pairs to the equation, it doesn't matter which pair you want to use. I'm using the second ordered pair, so this is what you would have: 10=1/2(3)+b. Multiply 1/2 by 3 to get 3/2. This is what it should look like: 10=3/2+b. Subtract 3/2 from both sides to get your y-intercept of 17/2. Go back to your original equation and plug in your y-intercept. This is your final answer: y= 1/2x + 17/2. Hope this helped!
