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3 years ago

If a varies inversely as the cube root of b and a=1 when b=64, find b

Mathematics

1 answer:

Mrrafil [7]3 years ago

7 0

Answer:

b = 64/a³

Step-by-step explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

a = k/∛b

Multiplying by ∛b lets us find the value of k:

k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

64 = a³b

b = 64/a³ . . . . . divide by a³

The value of b is ...

b = 64/a³

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Set x is the set of all multiples of 6 between 15 and 70 what set is equal to set x

Pie

Answer:

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

Step-by-step explanation:

See procedure below;

Set X { all multiples of 6 between 15 and 70, provided multiples belong to the set of natural numbers },

Set X { 6n | 15 < n < 70, n ∈ natural numbers },

n ∈ { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.........69 },

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156.........414 }

Answer; { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

8 0

3 years ago

Is 9.37 greater or less than 5.999?

Zarrin [17]

Answer: 9.37 is greater than 5.999.

Step-by-step explanation: Look at the whole number. It's 9 and 5. 9nis greater than 5, therefore it's greater.

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3 years ago

Given f(x) = 3x + 4 and g(x) = 8x + 1 then what is ( f + g )(0))?

alexandr1967 [171]

(f+g)(x)=f(x)+g(x)

(f+g)(x)=3x+4+8x+1

(f+g)(x)=11x+5

(f+g)(0)=11(0)+5

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(f+g)(0)=5

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3 years ago

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Paha777 [63]

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BC + CD = BD segment addition postulate

CD + CD = BD substitution

2CD = BD added like terms

2CD = 16 substitution

CD = 8 division property of equality

CD = y + 3 given per graph

y + 3 = 8 transitive property

y = 5 subtraction property

Answer: 5

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3 years ago

Gcf/ greatest common factor and / LCM least common multiple Mang Andoy is going to put in trays of 6 eggs and 12 eggs. What is t

UNO [17]

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts? Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

5 0

3 years ago

If a varies inversely as the cube root of b and a=1 when b=64, find b​

If a varies inversely as the cube root of b and a=1 when b=64, find b