Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e. 
.
i.e. 
.
i.e. .
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.
Answer:
2 > 
Step-by-step explanation:
Given:
- Felicity's dog eats two cups of dog food per day :2
If the amount of food that Martin's dog eats is represented by using m
Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats:
So we have the inequality represents the situation is:
2 >
Answer:
(24, 32, 40) is a Pythagorean triplet.
Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
Step-by-step explanation:
We are given the following in the question:
Pythagorean triplet: (3,4,5)
New Pythagorean triplet obtained = (24, 32, 40)
Pythagoras theorem:
For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.
Verification:
Yes, Tessa is correct.
(24, 32, 40) is a Pythagorean triplet.
Pythagorean triple be created using multiplies of a known Pythagorean triple
Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.
The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.
Answer:
7⁷
Step-by-step explanation:
a^(1/7) = 7
a = 7⁷
