Required:

a. Convert this to an exponential function using base e.

b. Verify that the original function and the result from part (a) yield the same result for Q(0), Q(1620), and Q(3240).

Answer:

**Answer:**

**(a)**

**Step-by-step explanation:**

We are given that

Half life of radium-226=1620 yr

The quantity left Q(t) after t years is given by

a. We have to convert the given function into an exponential function using base e.

=

=

**=**

(b)

**=1**

From original function

**Q(0)=1**

From exponential function

**Q(3240)=0.249=**

Hence, verified.

We have 30 miles of fencing which can be used to enclose a rectangular piece of grazing land along a straight portion of a river. No fence is required along the river. The grazing land will be subdivided into two sections by means of a fence parallel to the sides and perpendicular to the river. Write a function that expresses the total area in terms of the width x of the side of the grazing area perpendicular to the straight river.

Jenny's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 66 grams, how many grams of cocoa does it contain? Round youranswer to the nearest tenth.

A truck weighs 16,000 pounds. What is the weight range in tons?

A)0.5B)2.5C)-0.5D)-2.5

3/8+ 5/6 divided by 5

Jenny's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 66 grams, how many grams of cocoa does it contain? Round youranswer to the nearest tenth.

A truck weighs 16,000 pounds. What is the weight range in tons?

A)0.5B)2.5C)-0.5D)-2.5

3/8+ 5/6 divided by 5

B. We can't determine from the given information.

C. Exactly one

D. None

The correct answer to this question is letter "B. We can't determine from the given information."

Using the information as stated, "If j and k are intersecting lines, A and B are points on j, and C and D are points on k," the number of planes that contain points A, B, C, and D cannot be determined because of the lack of information.

Using the information as stated, "If j and k are intersecting lines, A and B are points on j, and C and D are points on k," the number of planes that contain points A, B, C, and D cannot be determined because of the lack of information.

**Answer:**

The surface area is about 267.04 cm^2; the surface area would be divided by 4 if the slant height and diameter were to be cut in half

1 yard = 3 feet.

100 yards x 3 = 300 feet.

300 feet x 3/4 = 225 feet.

The answer is 225 feet.

**Answer:**

225 ft hope it helps

**Answer:- 8**

**Step-by-step explanation:**

-4 + 4(3)/ -4+3

-4 +12 / -1

8/-1

1___ Square centimeters

2 Calculate the area of the rectangle.

3. Calculate the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth.

**Answer:**

1. The area of the circle is 132.67 square centimeters

2. The area of the rectangle is 60 square centimeters

3. The area of the shaded region is 72.67 square centimeters

**Step-by-step explanation:**

* Lets explain how to solve the problem

- A rectangle is inscribed in a circle, that means the vertices of the

rectangle lie on the circumference of the circle

∴ The diagonal of the rectangle = the diameter of the circle

- From the attached figure

∵ The diameter of the circle = 13 cm

∵ The radius of the circle is half the diameter

∴ The radius of the circle = 1/2 (13) = 6.5 cm

- The area of the circle = πr²

∵ π = 3.14

∴ The area of the circle = 3.14 × (6.5)² = 132.67 cm²

**1. The area of the circle is 132.67 square centimeters**

- The area of any rectangle = length × width

∵ The length of the rectangle is 12 cm

∵ The width of the rectangle is 5 cm

∴ The area of the rectangle = 12 × 5 = 60 cm²

**2. The area of the rectangle is 60 square centimeters**

- The area of the shaded region is the difference between the

area of the circle and the area of the rectangle

∵ The area of the circle = 132.67 cm²

∵ The area of the rectangle = 60 cm²

∵ The area of the shaded region = area of circle - area of rectangle

∴ The area of the shaded region = 132.67 - 60 = 72.67 cm²

**3. The area of the shaded region is 72.67 square centimeters**

**Answer:**

**Step-by-step explanation:**

Hence is in second quadrant.

**Pythagorean Theorem:**

But in the second quadrant will be negative.

Hence