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m_a_m_a [10]
3 years ago
15

Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the

weekly weed growth: f(x) = 197(1.25)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
A.) f(x) = 197(1.25)^7x; grows at a rate of approximately 2.5% daily
B.) f(x) = 197(1.25^7)^x; grows at a rate of approximately 4.77% daily
C.) f(x) = 197(1.03)^x; grows at a rate of approximately 0.3% daily
D.) f(x) = 197(1.03)^7x; grows at a rate of approximately 3% daily
Mathematics
2 answers:
Doss [256]3 years ago
8 0

The correct answer to this question is D

Anarel [89]3 years ago
4 0

Answer:

  D.)  f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily

Step-by-step explanation:

The growth equation can be written in terms of a rate compounded 7 times per week:

  f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)

  f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown

The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:

  (1.0324 -1) × 100% = 3.24%

The best match is choice D:

  f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily

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timama [110]

Answer:

scale factor: 1.16

perimeters: 21.84 ft and 25.36 ft

4 0
3 years ago
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Look at the following graph of the given equation. Determine whether the equation is the function. Explain why or why not.
Drupady [299]

Answer:

Step-by-step explanation:

It is a function. Every x has only 1 y associated with it. You cannot find an exception to this rule.

Stated another more common  way: if you take a ruler and lay it flat on the graph so that the ruler is parallel to the y axis, you will find the ruler will go through only one y for every x. That's called the vertical line test.

3 0
4 years ago
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park: A coordinate plane is shown.
Nostrana [21]

Question:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park.There is a point at (−6, 3) labeled Dog 1. There is a point at (−6, −3) labeled Dog 2.

Which statement best describes the relationship between the positions of the two players?

A.Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

B.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

C.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

D. Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answer:

Option B: Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Explanation:

The position of the Dog 1 is (−6, 3).

The position of the Dog 2 is (−6, -3).

From the graph, we can see that the image of Dog 1 is reflected over x-axis. Because to reflect an image over x-axis, the signs of y-coordinate must be changed.

Hence, Option B is correct.

Thus, Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

7 0
4 years ago
The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time
pickupchik [31]

Answer:

N_c \approx 5.0

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production T_w=0.25day

Average processing time is T_a=0.15 day per container

Wheel per container N_w=200

Total wheel per day D=2000

Policy variable of X=5%  

Generally the equation for Total number of container N_c is mathematically given by

N_c=DT(\frac{1+X}{N_w} )

Where

Total time T=T_w+T_a

T=0.15+0.25

Therefore

N_c=DT(\frac{1+X}{N_w} )

N_c=2000*0.40(\frac{1+0.5}{200} )

N_c=(\frac{840}{200} )

N_c=4.2

N_c \approx 5.0

Therefore the number of Kanban containers needed for the wheels is

N_c \approx 5.0

3 0
3 years ago
If anyone can help, thanks!
saul85 [17]

Note: This is a perfect application for equations of ratios.


50 40

------- = ------- and so 50x = 1200, or 5x = 120, or x = 24 (miles).

30 x

3 0
4 years ago
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