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TEA [102]
2 years ago
13

Consider the following equation. cos x = x3 (a) Prove that the equation has at least one real root. f(x) = cos x − x3 is continu

ous on the interval [0, 1], f(0) = 0, and f(1) = cos 1 − 1 ≈ −0.46 0. Since 0 −0.46, there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos x − x3 = , or cos x = x3, in the interval (0, 1). (b) Use your calculator to find an interval of length 0.01 that contains a root.

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
4 0

Answer:

b. 0.86, 0.87

Step-by-step explanation:

a. Find attached solution to a

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A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise
marissa [1.9K]
100 total people......35 exercise in the morning....45 in the afternoon...and 20 at night

Jim is correct.....
35/100 is the ratio of people who exercise in the morning to total people.
45/100 is the ratio of afternoon exercisers to total people
20/100 is the ratio of night exercisers to total people
7 0
2 years ago
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Steven and Julio each have 13 marbles. Megan has twice the number of marbles as Steven and Julio combined. Steven thinks that me
kodGreya [7K]

Answer:

50

Step-by-step explanation:

Steven = 13 marbles

Julio = 13 marbles

Megan has twice the number of marbles as Steven and Julio combined

Megan = 2 (13 + 13) = 2(26) = 52 marbles

Among the options (26, 13, 50, 169, 338), the only reasonable estimate is 50

6 0
2 years ago
There are three choices of jellybeans - grape ,cherry and orange. if the probability of getting a grape is 3/10 and the probabil
muminat

When looking at probabilities, two ideas are always true.

1) Any probability is more than 0.

2) The sum of all the probabilites is 1.

Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then

3/10 + 1/5 + O = 1.

3/10 + 2/10 + O = 1

5/10 + O = 1

O = 5/10

Thus, the probability of an orange jelly bean is 5/10 = 1/2.

6 0
1 year ago
Write the following numbers in order of size.
choli [55]

Answer:

0.02, 0.152, 0.2 0.37, 0.4

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
A rectangle has a length of (3.2a + 0.18b)centimeters.The width is half the length. Sasha writes the expression (12.8a + 0.72b)
jeka94
The width is half the length, so is
  width = (1/2)*length
  width = (1/2)*(<span>3.2a + 0.18b) cm
  width = (1.6a +0.09b) cm

The perimeter of the rectangle is twice the sum of length and width.
  perimeter = 2*(length + width)
  perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
  perimeter = 2*(4.8a +0.27b) cm)
  perimeter = (9.6a +0.54b) cm

Sasha did not get this answer, so apparently ...
  her reasoning was not correct.</span>
8 0
2 years ago
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