<span> A bird drops a nut from a height of 441 feet.
Its height, h, in feet is given by the equation h=-16t^2=441
,where t is the time in seconds the nut has fallen.
The time it </span>will it take for the nut to hit the ground is given as:
Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Answer: 11/12
Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.
The fraction 7/12 already has a 12 in the denominator so we leave it alone.
To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.
Now we are adding like fractions.
To add like fractions, we simply add across the numerators.
7/12 + 4/12 = 11/12
Therefore, 7/12 + 1/3 = 11/12.
Answer:B
Step-by-step explanation:
A. y = 2x-11
B. y = 2x-10
c. y = 2x-4
D. y=2x-2
Recall, the slope intercept equation
y= mx+c
Assuming c is held constant in each scenario
Looking at A
m = 2, c = -11
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c =-10
-10 does not correspond to -11 given
Let's try B
m= 2, c = -10
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
This intercept correspond with the intercept in B which is -10
Let's look at C
m= 2, c = -4
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
-10 does not correspond to -4 given
Let's try D
m= 2, c = -2
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
-10 does not correspond to -2 given
Answer
6 is the nearest tenth it did not say ten it said ten-th
