Answer:
a¹⁸b²⁴c⁵⁴
Step-by-step explanation:
(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ
(-aⁿ)ᵒᵈᵈ = -aⁿ
(-aⁿ)ᵉᵛᵉⁿ = aⁿ
aⁿ × aⁿ = aⁿ⁺ⁿ
_________
In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.
so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>
Let's solve for x.
5x+15y=12
Step 1: Add -15y to both sides.
5x+15y+−15y=12+−15y
5x=−15y+12
Step 2: Divide both sides by 5.
5x
5
=
−15y+12
5
x=−3y+
12
5
Answer:
x=−3y+12/5
Let's solve for y.
5x+15y=12
Step 1: Add -5x to both sides.
5x+15y+−5x=12+−5x
15y=−5x+12
Step 2: Divide both sides by 15.
15y
15
=
−5x+12
15
y=
−1
3
x+
4
5
Answer:
y=-1/3x+4/5
Hope this helps!
-Josh
brainliest?
Answer: Option 'B' and 'C' are correct.
Step-by-step explanation:
Since we know that irrational numbers are those real number which cannot be written in
form.
Rational numbers are those real numbers which can be written in
form.
Inverse property of multiplication is that property in which we write a number in reciprocal form .
Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.
Hence,
belongs to rational numbers sets and inverse property of multiplication sets.
Therefore, Option 'B' and 'C' are correct.
We can convert that into a fraction of 100 for the percentage.
4/20= 20/100
(multiply both by 5)
So, the basketball player makes 20% of the throws.
I hope this helps!
~kaikers
Answer:
![\frac{dr}{dt}=0.11062ft/sec](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D0.11062ft%2Fsec)
Step-by-step explanation:
From the question we are told that:
Radius ![r=5ft](https://tex.z-dn.net/?f=r%3D5ft)
Height ![H=15ft](https://tex.z-dn.net/?f=H%3D15ft)
Rate ![R=15ft/3sec =5ft/s](https://tex.z-dn.net/?f=R%3D15ft%2F3sec%20%3D5ft%2Fs)
Surface Radius ![R_{surf}=2.2ft](https://tex.z-dn.net/?f=R_%7Bsurf%7D%3D2.2ft)
Generally the equation for Volume is mathematically given by
![V=\frac{1}{3}\pi*r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2h)
Since radius to height ratio gives
![\frac{r}{h}=\frac{5}{15}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bh%7D%3D%5Cfrac%7B5%7D%7B15%7D)
![\frac{r}{h}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bh%7D%3D%5Cfrac%7B1%7D%7B3%7D)
![h=3r](https://tex.z-dn.net/?f=h%3D3r)
Therefore
![V=\frac{1}{3}\pi*r^2(3r)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%283r%29)
![V=\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E3)
Generally the equation for Change of Volume is mathematically given by
![\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%3D%5Cpi%20%5Cfrac%7Bd%7D%7Bdt%7D%28r%5E3%29)
![\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%3D%5Cpi%203%2Ar%5E2%20%5Cfrac%7Bdr%7D%7Bdt%7D)
![\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%3D%5Cpi%203%2A%282.2%29%5E2%20%5Cfrac%7Bdr%7D%7Bdt%7D)
![\frac{dr}{dt}=\frac{5}{45.62}](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D%5Cfrac%7B5%7D%7B45.62%7D)
![\frac{dr}{dt}=0.11062ft/sec](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D0.11062ft%2Fsec)