Answer:
k = -20.
Step-by-step explanation:
Do the division:
4x ) 12x^2 + kx ( 3x
12x^2 + k/4
So k/4 = - 5
k = -20.
Answer:
<h2>400 m^2</h2>
Step-by-step explanation:
Area = 30 x 15 - 10 x 5
Area = 450 - 50
Area = 400 m^2
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
Answer%15
Step-by-step explanation:
Answer:
2 4/15 km
Step-by-step explanation:
We know from the above question that:
A hiker walks at a speed of 3 2/5 km per hour.
Step 1
Convert 40 minutes to hour
60 minutes = 1 hour
40 minutes = x
Cross Multiply
60x = 40
x = 40/60
x = 2/3hr
Step 2
How many km will the hiker walk in 40 min?
The above question can be calculated as:
1 hour = 3 2/5km
2/3 hour = x km
Cross Multiply
1 × x km = 2/3 × 3 2/5 km
x km = 2/3 × 17/5 km
x km = 34/15 km
x km = 2 4/15 km
Hence the hiker would walk 2 4/15 km in 4 minutes
9514 1404 393
Answer:
5z^(-5/3)
Step-by-step explanation:
The rules of exponents being used here are ...
![\sqrt[n]{a}=a^{1/n}\\\\\dfrac{a^b}{a^c}=a^{b-c}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B1%2Fn%7D%5C%5C%5C%5C%5Cdfrac%7Ba%5Eb%7D%7Ba%5Ec%7D%3Da%5E%7Bb-c%7D)
Using these rules on the given expression, we find ...
![\dfrac{10\sqrt[3]{z}}{2z^2}=\dfrac{10}{2}z^{1/3-2}=\boxed{5z^{-5/3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%5Csqrt%5B3%5D%7Bz%7D%7D%7B2z%5E2%7D%3D%5Cdfrac%7B10%7D%7B2%7Dz%5E%7B1%2F3-2%7D%3D%5Cboxed%7B5z%5E%7B-5%2F3%7D%7D)
