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alex41 [277]
2 years ago
14

Replace each * with a number to make */24 > 1/4> 4/* a true statement

Mathematics
2 answers:
zzz [600]2 years ago
4 0

Answer:

first * can be any number greater than 6

second * can be any number larger than 16

Step-by-step explanation:

take each part alone:

  • */24 > 1/4

multiply by 24 in both sides → * > 6

  • 1/4 > 4/*

multiply by 4 in both sides → 1 > 16/*

take * to first side → * > 16

there is no specific answers you can go with 8 and 18

Rina8888 [55]2 years ago
3 0

Answer:

Solve x/24>1/4 for x.

x>6

Solve 1/4>4/xfor x.

x<0 or x>16

Find the intersection of x>6 and x<0 or x>16 .

x>16

Step-by-step explanation:

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How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6​
Ivahew [28]

9\cos(2t)=6\implies\cos(2t)=\dfrac23

Using the fact that cos is 2π-periodic, we have

\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi

That is, \cos(\theta+2n\pi)=\cos\theta for any \theta and integer n.

\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi

We get 2 solutions in the interval [0, 2π] for n=0 and n=1,

t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi

4 0
3 years ago
A and b are positive integers and a–b = 3. Evaluate the following:
yulyashka [42]

1/27

1/27

125

Step-by-step explanation:

Given that,

a - b = 3

9^(1/2b) /3^a = 3^(2/2b) /3^a

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)

= 5^a/5^b

= 5^(a- b)

= 5^3

= 125

6 0
3 years ago
Katrina had a bookcase that holds 200 books. She can put 20 books on each shelf. If 20% of the bookcase is empty, how many shelv
Tom [10]

Answer:

First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.

Step-by-step explanation:

20 x 200

/100  = 40

Therefore, there are 40 books missing.

200-40 = 160

160/20 = 8 shelves are filled with books.

There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves

5 0
3 years ago
in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how
jeyben [28]

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

5 0
3 years ago
The table shows the beverage preferences of 50 shoppers at the mall.
Anastaziya [24]

Answer: A car dealership conducted a survey to learn the preferences of their customers. The survey data is shown in the table. Given that a survey participant is female, which is the probability that she prefers a sports utility vehicle (SUV)?

Step-by-step explanation: hope this helped :)

4 0
3 years ago
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