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jek_recluse
14 days ago
7

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t

he sand dune after x years. Which equation represents the situation?
Mathematics
1 answer:
AnnZ [3.9K]14 days ago
6 0
The initial height of 5 feet above sea level serves as the y-intercept, and the erosion rate of −1 foot per 20 years represents the slope. The dune’s height y varies with time. Using the slope–intercept form gives: Y = (-1/20)t + 5
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Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are
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A) The cost to send a package that weighs 3.2 pounds is $4.13. Since this weight exceeds 3 pounds but remains below 4 pounds, we have to refer to the pricing that applies to 4-pound packages (see the attached document for pricing details).

b) To illustrate the Media Mail shipping costs based on the weight of the books, a line graph is appropriate. In this graph, the weight in pounds is represented on the x-axis and the shipping costs on the y-axis.

c) The graph depicting the Media Mail shipping costs as a function of book weight will be represented by the equation: f(x) = 2.69 + 0.48(x-1)

7 0
6 days ago
A box has 14 camera of which 6 are refurbished and 8 are new. If four of these 14 cameras are selected at random without replace
Leona [4187]

Answer:

160/1001, 175/1001

Step-by-step explanation:

i) We calculate:

₈C₁ methods to select 1 new camera from a selection of 8

₆C₃ methods to select 3 refurbished cameras from a selection of 8

₁₄C₄ methods to select 4 cameras from the total of 14 cameras

The probability formula is:

P = ₈C₁ ₆C₃ / ₁₄C₄

P = 8×20 / 1001

P = 160 / 1001

P ≈ 0.160

ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:

P = ₆C₄ / ₁₄C₄

P = 15 / 1001

Therefore, the combined probability is:

P = 160/1001 + 15/1001

P = 175/1001

P ≈ 0.175

4 0
10 days ago
A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar
tester [3938]

Answer:

1) Determine the likelihood that a selected book is a nonfiction hard cover. P(N ∩ H) = 4/20

2) Calculate the probability of picking a hard-covered book. P(H) = 11/20

3) Compute the conditional probability. = 4/11

---------------------------------------------------------------------------------------------

1.) 4/20

2.) 11/20

3.) 4/11

7 0
2 days ago
Read 2 more answers
A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.0533km. What is the length of a
lawyer [4039]

Answer:

The length of each individual chain link is calculated as 5.33 cm.

Step-by-step explanation:

Initial data: the chain consists of 1000 links

the overall length recorded is 0.0533km.

1km = 1000m

1m = 100cm, thus 1km = 100000cm

So, the total length in centimeters = 0.0533* 100000

Total length in cm = 5330 cm

To find out the length of a single chain link, we do:

length of one chain link = 5330/1000

Thus, the length of a single chain link equals 5.33 cm.

7 0
10 days ago
At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground
babunello [3666]
The arrow is shot upwards with an initial velocity of 32 ft/s.
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3 days ago
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