A pair of lowercase letters represents a recessive gene.
For further clarification, if needed... If the punnett square was for dark hair being dominant over blonde hair, the offspring that was represented by two lowercase letters in a punnett square would have a phenotype of blonde hair.
Answer:
![-\frac{10}{3}ft/s](https://tex.z-dn.net/?f=-%5Cfrac%7B10%7D%7B3%7Dft%2Fs)
Step-by-step explanation:
We are given that
Height of man=5 foot
![\frac{dy}{dt}=-10ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D-10ft%2Fs)
Height of street light=20ft
We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.
ABE and CDE are similar triangle because all right triangles are similar.
![\frac{20}{5}=\frac{x+y}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D%3D%5Cfrac%7Bx%2By%7D%7Bx%7D)
![4=\frac{x+y}{x}](https://tex.z-dn.net/?f=4%3D%5Cfrac%7Bx%2By%7D%7Bx%7D)
![4x=x+y](https://tex.z-dn.net/?f=4x%3Dx%2By)
![4x-x=y](https://tex.z-dn.net/?f=4x-x%3Dy)
![3x=y](https://tex.z-dn.net/?f=3x%3Dy)
![3\frac{dx}{dt}=\frac{dy}{dt}](https://tex.z-dn.net/?f=3%5Cfrac%7Bdx%7D%7Bdt%7D%3D%5Cfrac%7Bdy%7D%7Bdt%7D)
![\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B3%7D%28-10%29%3D-%5Cfrac%7B10%7D%7B3%7Dft%2Fs%3D-%5Cfrac%7B10%7D%7B3%7Dft%2Fs)
Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=![-\frac{10}{3}ft/s](https://tex.z-dn.net/?f=-%5Cfrac%7B10%7D%7B3%7Dft%2Fs)
You have to be very careful how you set this up. For every girl (who counts as 1) there are 3 boys (who count as 3). The total number in the proportion is 3 + 1 =4. You are given a total, but that is both boys and girls. That's why you need the 4.
3/4 = x / 236 Cross multiply
4x = 3 * 236
4x = 708 Divide by 4
x = 708/4
x = 177
There are 177 boys at the school and 236 - 177 = 59 girls.
the equilibrium point, is when Demand = Supply, namely, when the amount of "Q"uantity demanded by customers is the same as the Quantity supplied by vendors.
That occurs when both of these equations are equal to each other.
let's do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, 12.
![\bf \stackrel{\textit{Supply}}{-\cfrac{3}{4}Q+35}~~=~~\stackrel{\textit{Demand}}{\cfrac{2}{3}Q+1}\implies \stackrel{\textit{multiplying by 12}}{12\left( -\cfrac{3}{4}Q+35 \right)=12\left( \cfrac{2}{3}Q+1 \right)} \\\\\\ -9Q+420=8Q+12\implies 408=17Q\implies \cfrac{408}{17}=Q\implies \boxed{24=Q} \\\\\\ \stackrel{\textit{using the found Q in the Demand equation}}{P=\cfrac{2}{3}(24)+1}\implies P=16+1\implies \boxed{P=17} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{Equilibrium}{(24,17)}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7BSupply%7D%7D%7B-%5Ccfrac%7B3%7D%7B4%7DQ%2B35%7D~~%3D~~%5Cstackrel%7B%5Ctextit%7BDemand%7D%7D%7B%5Ccfrac%7B2%7D%7B3%7DQ%2B1%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20by%2012%7D%7D%7B12%5Cleft%28%20-%5Ccfrac%7B3%7D%7B4%7DQ%2B35%20%5Cright%29%3D12%5Cleft%28%20%5Ccfrac%7B2%7D%7B3%7DQ%2B1%20%5Cright%29%7D%20%5C%5C%5C%5C%5C%5C%20-9Q%2B420%3D8Q%2B12%5Cimplies%20408%3D17Q%5Cimplies%20%5Ccfrac%7B408%7D%7B17%7D%3DQ%5Cimplies%20%5Cboxed%7B24%3DQ%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20found%20Q%20in%20the%20Demand%20equation%7D%7D%7BP%3D%5Ccfrac%7B2%7D%7B3%7D%2824%29%2B1%7D%5Cimplies%20P%3D16%2B1%5Cimplies%20%5Cboxed%7BP%3D17%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7BEquilibrium%7D%7B%2824%2C17%29%7D~%5Chfill)
Answer:
$3600
Step-by-step explanation:
hope that helps