Answer:
$3.60
Step-by-step explanation:
Convert the percentage to a decimal.
2% = 0.02
Multiply the cost of the dress by the decimal to find the sales tax.
$180 × 0.02 = $3.60
The sales tax $3.60.
Answer:
Your answer is D p=3.99;$51.87
Step-by-step explanation:
Find the Greatest Common Factorthe largest number that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is <span>22</span>.
the highest degree of <span>xx</span> that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is 1, since <span>xx</span> is not in every term.Multiplying the results above,
The GCF is <span>22</span>.
<span><span>2(<span><span>2</span><span><span>4x</span></span><span></span></span>−<span><span>2</span><span>6</span><span></span></span>)
</span>
<span>−2(2x−3)</span>
</span>
Answer:
The value of H is 28.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(H-6)/(-7-(-5))
m=(H-6)/(-7+5)
-11=(H-6)/-2
-11(-2)=H-6
22=H-6
H=22+6
H=28
Answer:
Rate of increase in height =![\frac{dh}{dt}=0.3156ft/min](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D0.3156ft%2Fmin)
Step-by-step explanation:
we know that volume of a cone is given by
![V=\frac{1}{12}\pi d^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20d%5E%7B2%7Dh)
It is Given that diameter equals height thus we have
![V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20h%5E%7B2%7Dh%5C%5C%5C%5CV%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20h%5E%7B3%7D)
Differentiating both sides with respect to time we get
![\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20%5Cfrac%7Bdh%5E%7B3%7D%7D%7Bdt%7D%5C%5C%5C%5C%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%283h%5E%7B2%7D%5Cfrac%7Bdh%7D%7Bdt%7D%29)
Applying values and solving for
we get
![\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B12%5Cfrac%7BdV%7D%7Bdt%7D%7D%7B3%5Cpi%20h%5E%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7Bdh%7D%7Bdt%7D%3D0.3156ft%2Fmin)