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I am Lyosha [343]
2 years ago
11

Difference

Mathematics
1 answer:
Ivan2 years ago
4 0

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

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The graph shows the cost of renting skates. Sadie rents a pair of skates at 10 A.M. How much will she pay if she returns the ska
stiv31 [10]

Answer: 1 PM = $8

1:15 PM = $9.0

Step-by-step explanation:

a. Since Sadie rents a pair of skates at 10 A.M and returned the skates by 1 P.M, this means the hours spent was 3 hours. Therefore, based on the graph, for 3 hours rented, he will pay $8

The amount that she will pay if she returns them at 1:15 P.M. will be equal to the value of 3 hours 15 minutes which will be:

= $8 + $1.0

= $9.00

5 0
2 years ago
A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a
Anastasy [175]

Answer:

Exercise (a)

The work done in pulling the rope to the top of the building is 750 lb·ft

Exercise (b)

The work done in pulling half the rope to the top of the building is 562.5 lb·ft

Step-by-step explanation:

Exercise (a)

The given parameters of the rope are;

The length of the rope = 50 ft.

The weight of the rope = 0.6 lb/ft.

The height of the building = 120 ft.

We have;

The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;

ΔW₁ = 0.6Δx·x

The work done for the second half, ΔW₂, is given as follows;

ΔW₂ = 0.6Δx·x + 25×0.6 × 25 =  0.6Δx·x + 375

The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375

∴ We have;

W = 2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750

The work done in pulling the rope to the top of the building, W = 750 lb·ft

Exercise (b)

The work done in pulling half the rope is given by W₂ as follows;

W_2 =  \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5

The work done in pulling half the rope, W₂ = 562.5 lb·ft

6 0
2 years ago
A simple random sample of size n=40 from a population with mu = 74 and standard deviation= 7. Does the population need to be nor
Maurinko [17]

Answer:

Step-by-step explanation:

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5 0
3 years ago
There are 5 people in Edgar's family. They have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin
kvv77 [185]

Answer:

15 because 3 x  5 equals 15

Step-by-step explanation:

6 0
3 years ago
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Bingel [31]

Answer:29

so the mini triangle in the corner is a mini model of the entire triangle, all you have to do is take the width or bottom number and find the factor in which it is smaller, then take the height of the smaller triangle and add the factor in which it increases to it. so the factor goes up by 31 1/2--9=22 1/2 and adding the factor in which it increases to the height is 22 1/2+6 1/2=29 because 2 halfs make a whole.

Step-by-step explanation:

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2 years ago
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