After wildfires destroyed a portion of a national park, forest service biologists calculated the germination rate of new seedlings. Using a rope as a radius, they marked off a circular area of forest equivalent to one-seventh of an acre. They then counted the number of new seedlings and multiplied by 7 to obtain an estimate of the germination rate in seedlings per acre. What length of rope is needed to create the circle?

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Let's find distance of objects travel from t=0 to t=45.

Q: 7)84

A: The objective of the question is solve the division.

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: 6.4 3

A:

Q: Find the circumference of each circle. Leave your answer in terms of T.

A: From the image of the circle, we see that the radius= 16 units

Q: 10) 21 68

A: We know that tan θ=Opposite sideAdjacent sidetan(68)=x21

Q: 72

A: here we will find value of x ,

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 6. 5

A:

Q: 6.3 3

A:

Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: 29 14

A: It's trigonometric question so I'm providing hand written solution for better understanding.

Q: 6.1 4

A: Given that  The vector

Q: 8) 16 15

A: Answer is below

Q: 15 17 9.

A: We have to find b

Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: cothe 4

A: To find: The value of cothi3π4. Concept used: cothx=ex+e-xex-e-x eiaπ=-1a

Q: 4. 18 126 =

A:

Q: 4) 37 12

A:

Q: 3. alogM

A: We have to find the value of: alogaM Let us substitute, logaM=y Then we get, ay=M

Q: 2. tox²Sc.

A:

Q: 11 11 4. 64

A: Given: simplify the expression

Q: C. 11 10

A:

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 73

A:

Q: 3. n. logs

A: Given

Q: 2. 27

A:

Q: 30 40 8.

A:

Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 14 19

A: To find :- x  Given :- Base = 14 , Hypotenuse = x ,               and θ= 49°   By using…

Q: 5) 23

A: To find The other side of the given figure.

Q: 16 6. 4.

A:

Q: 5) 45 6. y

A: We have to find x and y

Q: - 2 4. - 3 V22 4 2/7 41M

A: