Answer:
ds/dt =8 when t =1.5
Step-by-step explanation:
s = t^2 + 5t - 8
We want to find ds/dt
ds/dt = 2t +5
evaluated when t=1.5
ds/dt = 2(1.5) +5
ds/dt = 3+5
ds/dt =8 when t =1.5
Answer:
No real solutions
Step-by-step explanation:
Use the discriminant to determine the number of real solutions to a quadratic equation.
The general form for a quadratic equation is ax² + bx + c
The discriminant is b² - 4ac
The following 3 rules apply...
1. If b² - 4ac > 0, then there are 2 real solutions
2. If b² - 4ac = 0, then there is one real solution
3. If b² - 4ac < 0 then there are no real solutions
For this problem,
a = 5
b = 6
c = 4
Plug them into b² - 4ac....
6² - 4(5)(4)
36 - 80
-54 so b² - 4ac < 0 , there are no real solutions
Answer:
15'
Step-by-step explanation:
12 squared + 9 squared =225
144 81
then square root 225 to get 15
Answer:
option a is the answer
Step-by-step explanation:
put the value of x in each expression as x = -2
you'll see that in option a the expression becomes
which is not defined. hence -2 is excluded value
For the first one, you just need to divide the amount of feet by 3 to get the amount of yards (there are three feet in a yard).
1431 / 3 = 476 2/3
The 102nd floor of the Sears Tower is 476 2/3 yards from the ground.
Second, you just need to multiply the amount of centimeters by 10 (there are 10 millimeters in a centimeter).
16 * 10 = 160
The butterfly has a wingspan of 160mm.
Third, the measurements are indeed
7. =
8. =
9. <
10. >
11. >
12. =
Fourth, you just need to know your conversion factors.
1. There are 3 feet in a yard. 42 / 3 = 14 yards
2. There are 1000 meters in a kilometer. 2350 / 1000 = 2.35 km
3. 12 inches in a foot. 18 * 12 = 216 inches
4. 10 decimeters in a meter. 289 * 10 = 2890 dm
5. 1760 yards in a mile. 1760 * 5 = 8800 yds
6. 10 millimeters in a centimeter. 35 * 10 = 350 mm
Hope that was helpful =)