V = u + at
u = 0
v = 0 + 1.5*5
v = 7.5 m/s
final velocity is 7.5 m/s
s = ut + 0.5at^2
s = 0 + (0.5*1.5*5^2)
s = (0.5*1.5*25)
s = 18.75 m
total travel distance is 18.75 m.
Answer:
2
Step-by-step explanation:
Solve. Technically, there are two methods. You can first multiply, or first divide.
Essentially the question is:
(5 * 2)/5
or
2 * (5/5)
Solve. Remember to follow PEMDAS. First solve the parenthesis, then simplify:
(5 * 2)/5 = (10)/5 = 2
2 * (5/5) = 2 * 1 = 2
2 is your answer.
~
9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
![\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto%201%7D%5Cdfrac%7Bn%7D%7Bd%7D%3D%5Cdfrac%7Bn%27%7D%7Bd%27%7D%3D%5Cleft.%5Cdfrac%7B%5Cdfrac%7B4%7D%7B3%5Csqrt%5B3%5D%7B4x-3%7D%7D-%5Cdfrac%7B7%7D%7B2%5Csqrt%7B7x-6%7D%7D%7D%7B%5Cdfrac%7B5%7D%7B2%5Csqrt%7B5x-4%7D%7D-%5Cdfrac%7B2%7D%7B3%5Csqrt%5B3%5D%7B2x-1%7D%7D%7D%5Cright%7C_%7Bx%3D1%7D%3D%5Cdfrac%7B4%2F3-7%2F2%7D%7B5%2F2-2%2F3%7D%3D%5Cdfrac%7B8-21%7D%7B15-4%7D%5C%5C%5C%5C%3D%5Cboxed%7B-%5Cdfrac%7B13%7D%7B11%7D%7D)
<h3>
Answer: x^2 + 6</h3>
Work Shown:
(f o g)(x) = f(g(x))
f(x) = x + 7
f( g(x) ) = g(x) + 7 ... replace every x with g(x)
f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1
f( g(x) ) = x^2 + 6
(f o g)(x) = x^2 + 6
The mixed number as an improper fraction is 37/8
<h3>How to express the mixed number as an improper fraction?</h3>
The diameter is give as:
Diameter = 4 5/8
Next we convert the above number to an improper fraction
The numerator is calculated as
Numerator = 8 * 4 + 5
This gives
Numerator = 37
Hence, the mixed number as an improper fraction is 37/8
Read more about fractions at:
brainly.com/question/18734292
#SPJ1
