Answer:
Step-by-step explanation:
![(a)\\ \\ (i)\ \sqrt{3}=3^p\\ \\ 3^{\frac{1}{2}}=3^p\\ \\ p=\frac{1}{2}\\ \\ (ii)\ \frac{1}{9}=3^q\\ \\ 3^{-2}=3^q\\ \\ q=-2\\ \\ (b)\\ \\ 3^{\frac{1}{2}(3^x)=\frac{1}{9}\\ \\ 3^{\frac{1}{2}+x}=3^{-2}\\ \\ \frac{1}{2}+x=-2\\ \\ x=-1.5](https://tex.z-dn.net/?f=%28a%29%5C%5C%20%5C%5C%20%28i%29%5C%20%5Csqrt%7B3%7D%3D3%5Ep%5C%5C%20%5C%5C%203%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D3%5Ep%5C%5C%20%5C%5C%20p%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%20%28ii%29%5C%20%5Cfrac%7B1%7D%7B9%7D%3D3%5Eq%5C%5C%20%5C%5C%203%5E%7B-2%7D%3D3%5Eq%5C%5C%20%5C%5C%20q%3D-2%5C%5C%20%5C%5C%20%28b%29%5C%5C%20%5C%5C%203%5E%7B%5Cfrac%7B1%7D%7B2%7D%283%5Ex%29%3D%5Cfrac%7B1%7D%7B9%7D%5C%5C%20%5C%5C%203%5E%7B%5Cfrac%7B1%7D%7B2%7D%2Bx%7D%3D3%5E%7B-2%7D%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B2%7D%2Bx%3D-2%5C%5C%20%5C%5C%20x%3D-1.5)
Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.
Answer:100,000
Step-by-step explanation: 10000+90000
Answer:
Number of cheaper dresses sold is 35
Number of expensive dresses sold is 15
Step-by-step explanation:
Given:
Cost of cheaper dresses = $90
Cost of expensive dresses = $140
Total cost of the dresses = $5250
To Find:
Number of cheaper dress = ?
Number of expensive dress = ?
Solution:
Let
The number of cheaper dresses be x
The number of expensive dresses be y
(Number of cheaper dresses X cost of cheap dress) + (Number of Expensive dresses X cost of expensive dress) = $5250
= $5250
It is given that the 20 more of the cheaper dresses than the expensive dresses is sold
So,
number of cheaper dress = 20 + number of expensive dress
x = 20 + y---------------------------------------(1)
![(20+y) \times90 +y \times 140 = 5250 = 5250](https://tex.z-dn.net/?f=%2820%2By%29%20%5Ctimes90%20%2By%20%5Ctimes%20140%20%3D%205250%20%3D%205250)
![(20 \times 90 +y\times 90) +y \times 140= 5250](https://tex.z-dn.net/?f=%2820%20%5Ctimes%2090%20%2By%5Ctimes%2090%29%20%2By%20%5Ctimes%20140%3D%205250%20)
![1800 + 90y+ 140y = 5250](https://tex.z-dn.net/?f=1800%20%2B%2090y%2B%20140y%20%3D%205250%20)
![1800 + 230y = 5250](https://tex.z-dn.net/?f=1800%20%2B%20230y%20%3D%205250%20)
![230y =5250 -1800](https://tex.z-dn.net/?f=%20230y%20%3D5250%20-1800)
![230y = 3450](https://tex.z-dn.net/?f=%20230y%20%3D%203450%20)
![y = \frac{3450}{230}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3450%7D%7B230%7D)
y = 15
Substituting y in (1)
x = 20 +15
x= 35
<span>I believe you are missing the rest of your question...
What information does the zero of the equation 6 = –16x2 + 24x + 1 represent?In this case
</span><span> 0=-16x2+24x+1-6 .............> -16x2 +24x -5 = 0
</span><span>
If we graph the equation, we can see that the solutions are
x1 = 0.25 and x2 = 1.25
These points represent the moment when the ball is 6 ft above the ground(0.25 seconds after being thrown and 1.25 seconds after being thrown)</span>