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:
$23729.19 ( approx )
Step-by-step explanation:
Cost price = $ 18950
Loss = $ 4780
Loss% = 4780/18950 * 100 = 25.22%
Selling Price = 18950 (100+25.22)/100
= $23729.19 ( approx )
Answer:y=415 x = 21.5
Step-by-step explanation:
We can see 4x-37 = 49
4x = 86
x = 21.5
4(21.5) -3 = 83
Then we can see what the other side is because they are equal
y/5 = 83
83 x 5 = 415
y=415
MUSTARD MAN
1) 16y+0=0 Identity Property Of Addition
2) d*r=r*d Commutive property of multiplication
3) 27a*0=0 Identity Property of Addition
4) 16x+5y=5y+16x Commutive property of Addition
5) r*1=r Identity property of Addition
6) (5y+2)+14x=5y+(2+14x) Associate property of Addition
7) (m*n)*p=m*(n*p) Associate Property of Multiplication
Please use the information you have to make sure these are RIGHT!!!!
-GENERAL OUT
Hello!
Recall that:
![\sqrt[z]{x^{y} }](https://tex.z-dn.net/?f=%5Csqrt%5Bz%5D%7Bx%5E%7By%7D%20%7D)
is equal to 
. Therefore:
![\sqrt[3]{x^{2} } = x^{\frac{2}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D)
There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:
