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Art [367]
3 years ago
15

Habib rides his bike to school. This describes his trip:

Mathematics
2 answers:
shusha [124]3 years ago
6 0
See attached picture for the answer:

Helen [10]3 years ago
3 0

Answer: Lets number the images from left to right as 1 to 6.

in the part A; rides slowly uphill, then you need to use the 5 image here, because you can see that is a slowly crescent lineal relation.

in the part B: Habib has stopped, so his position is constant, then the first image will describe that his position is constant over the time.

in the part C: if he rides downhill we need a decreasing linear, and fast means that the slope is big, then the correct option is the image number 3.

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3 years ago
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
exis [7]

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

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