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Charra [1.4K]
3 years ago
11

Which equation represents exponential decay?

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

D, because for every x, the 3 slowly become slower. IF the thing that is being taken to the power of x is less than one it is a decay

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You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.
Orlov [11]

Answer: 1,475.8mm^{2}

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

SA_s=4r^{2}(3.14)

Where r is the radius (r=\frac{10mm}{2}=5mm)

2. Then:

SA_s=4(5mm)^{2}(3.14)=314mm^{2}

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

SA_c=2(3.14)(r)(h)

Where h is the height (h=32mm)

4. Then:

SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}

5. So, the total surface area is:

SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}

6 0
3 years ago
The temperature in Chicago, Illinois, was recorded one night. Over a three-hour span, the temperature fell 12ºF. What integer re
Fynjy0 [20]

Answer:

The answer to the problem is -4   the other answer is wrong

I hope I helped you.

4 0
3 years ago
Read 2 more answers
Jayden’s new puppy weighed 11 1/4 pounds at 4 weeks old. At 16 weeks old, the puppy weighed 1 2/3 times more.
musickatia [10]

Answer:

18.75 or 18 3/4 lbs

Step-by-step explanation:

We just have to multiply 11 1/4 and 1 2/3 to get the product, 18.75 or 18 3/4.

First we have to translate our fractions into decimals:

11.25 (11 1/4) and 1.166667 (1 2/3)

multiply:

11.25 x 1.166667 = 18.75

convert back to fraction:

18 3/4

Hope This helps! Good Luck! If you have any questions please ask me, I would me more than happy to help you understand this method. If you are doing it a different way, I can help with that too.

5 0
3 years ago
1. Bob can draw 14 shapes in 7 minutes. How long does it take Bob to draw 28 shapes at the same rate?
azamat

Answer:

56 minutes

Step-by-step explanation:

14/7 = 2

28 x 2 = 56

6 0
3 years ago
Read 2 more answers
A rectangular cow pasture is enclosed on three sides by a fence and the fourth side is part of the side of a barn that is $400$
Rudiy27

Let us list out the given information:

Cost per foot = $5

Total fencing cost = $1200

Let L be the length of the barn that will maximize the area of the pasture and W be the width of the rectangular cow pasture.

From the given information, we need to do the fencing for three sides covering 1 L and 2 W's because other L will be the fourth side is part of the side of a barn. We need to write the equation based on the cost information.

If cost/foot is $5, then cost of length ' L ' will be 5L dollars and cost of '2W' width equals 10W dollars. Total cost is $1200. We can set up second equation as

5L + 10W = 1200. This can be simplified by dividing throughout the equation by 5 to get L+ 2W= 240. Solving for L we get L = 240 - 2W

Area of a rectangle is given by A = L ×W.

Substituting 240 - 2W for L we get the area function as..

A=(240 - 2W)×W= 240W-2W²

A = -2W²+240W.

When we have a function of the form f(x) = ax^2 + bx + c, then maximum value of the function can be obtained for x = -b/2a. Using that idea we can find the maximum area.

Here in the area function a = -2 and b = 240

For W = -b/2a = -240/2(-2) = -240/-4 = 60 feet, we get maximum area.

The question is asking us to find Length. We can substitute W = 60 in the equation L = 240 - 2W to find the Length.

L = 240 - 2(60) = 240 - 120 = 120 feet.

Conclusion: The length of the side parallel to the barn that will maximize the area of the pasture is 120 feet.

Note: Here the information 400 feet in the sentence "the fourth side is part of the side of a barn that is 400 feet long" given to distract us, we might not require that information to find the Length.

3 0
3 years ago
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