Answer:
<u>551 square centimeters</u>
Step-by-step explanation:
Finding the radius (r) :
- C = 2πr
- 83.21 = 2 x 3.14 x r
- 83.21 = 6.28r
- r = 83.21/6.28
- r = 13.25 cm
Finding the area :
- A = πr²
- A = 3.14 x (13.25)²
- A = 3.14 x 175.5625
- A = <u>551 square centimeters</u> (nearest whole number)
<u></u>
The area of this hub cap is about <u>551 square centimeters</u>.
We have that
for x=1
f(x)=1.5 and g(x)=-1
so
g(x) < f(x)
for x=2
f(x)=5 and g(x)=5
so
g(x)= f(x)
for x=3
f(x)=9.5 and g(x)=23
so
g(x) > f(x)
therefore
the answer is
<span>After x=2 function g exceeds function f</span>
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
Just because the 3 is less than 5 doesn't mean it's less. What max did wrong was automatically see the first number and say it was greater/least because it's just the first digit. 36,594,145 is greater than 5,980,251 because the last 6 digits are invisible right now so thing about the numbers before the first comma- 36 and 5. Which number is greater? 36 so just because it's the first digit in the number doesn't make it automatically greater or less. *-sorry for such long paragraph*
Answer:
x=-1-5√17/2
Step-by-step explanation:
logo((x-2)(x+2))=2
logo(x²+3x-2x-6)=2
x²+3x-2x-6=10²
x²+x-6=100
x²+x-106=0
x=-1+5√17/2
