Answer:
Concept: Modeling expressions
- We are given the equation
![200 - 16 {t}^{2}](https://tex.z-dn.net/?f=200%20-%2016%20%7Bt%7D%5E%7B2%7D%20)
- We want to find the time after 0.75 seconds given that t is represented in seconds.
- Hence we do
![200 - 16(0.75)^{2}](https://tex.z-dn.net/?f=200%20-%2016%280.75%29%5E%7B2%7D%20)
- Hence we get the answer to 191 feet
Answer:
![JT = 3\sqrt{2}, JE = 3](https://tex.z-dn.net/?f=JT%20%3D%203%5Csqrt%7B2%7D%2C%20JE%20%3D%203)
Step-by-step explanation:
This is a 45-45-90 triangle
answer:
8 pennies,16 dimes,13 nickels,13 quarters
Step-by-step explanation:
total number of coins = 50
16% are pennies
16% of 50
16/100 x 50=(16x50)/100=800/100=8
Pennies = 8
32% are dimes
32% of 50
32/100 x 50=(32x50)/100=1600/100=16
Dimes = 16
5 more nickels than pennies
Pennies = 8
nickels = 8 + 5 = 13
nickels = 13
8+16+13=37
50 - 37 = 13
13 quarters
pennies = 8, dimes = 16, nickels = 13, quarters = 13
(x+6)^(1/2)-5=x+1
(x+6)^(1/2)=x+6
((x+6)^(1/2))^2=(x+6)^2
x+6=x^2+12x+36
0=x^2+11x+30
(-11+(11^2-4(1)(30))^(1/2))/2
(-11+((1)^(1/2))/2
(-11+1)/2=-5
(-11-1)/2=-6
((-6)+6)^1/2-5=(-6)+1
(0^(1/2))-5=-5
-6 is non-extraneous
((-5)+6)^1/2-5=(-5)+1
(1^1/2)-5=-4
1-5=-4
-4=-4
-5 is non-extraneous