Mathematics : asked on victoriahuntley12148

12.05.2023

Whats 1/8 of 32 please?

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09.07.2023, solved by verified expert

Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

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Hello.

In order to find of 32, we need to divide 32 by 8:

Therefore, the final answer is

.

I hope this helps you.

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Mathematics

Match each binomial expression with the set of coefficients of the terms obtained by expanding the expression. note: each set of coefficients is listed in the correct order. (2x + y)4 (x + 2y)4 (x + 3y)4 (3x + 2y)4 pairs coefficients binomials 1, 12, 54, 108, 81 arrowboth 81, 216, 216, 96, 16 arrowboth 16, 32, 24, 8, 1 arrowboth 1, 8, 24, 32, 16 arrowboth

Step-by-step answer

P Answered by PhD

28

(2x + y)^4 = (2x)^4 + 4(2x)^3y + 6(2x)^2y^2 + 4(2x)y^3 + y^4 = 16x^4 + 32x^3y + 24x^2y^2 + 8xy^3 + y^4 => coefficients are 16, 32, 24, 8, 1

(x + 2y)^4 = x^4 + 4x^3(2y) + 6x^2(2y)^2 + 4x(2y)^3 + (2y)^4 = x^4 + 8x^3y + 24x^2y^2 + 32xy^3 + 16y^4 => coefficients are 1, 8, 24, 32, 16

(x + 3y)^4 = x^4 + 4x^3(3y) + 6x^2(3y)^2 + 4x(3y)^3 + (3y)^4 = x^4 + 12x^3y + 54x^2y^2 + 108xy^3 + 81y^4 => coefficient are 1, 12, 54, 108, 81

Mathematics

Match each binomial expression with the set of coefficients of the terms obtained by expanding the expression. note: each set of coefficients is listed in the correct order. (2x + y)4 (x + 2y)4 (x + 3y)4 (3x + 2y)4 pairs coefficients binomials 1, 12, 54, 108, 81 arrowboth 81, 216, 216, 96, 16 arrowboth 16, 32, 24, 8, 1 arrowboth 1, 8, 24, 32, 16 arrowboth

Step-by-step answer

P Answered by PhD

28

(2x + y)^4 = (2x)^4 + 4(2x)^3y + 6(2x)^2y^2 + 4(2x)y^3 + y^4 = 16x^4 + 32x^3y + 24x^2y^2 + 8xy^3 + y^4 => coefficients are 16, 32, 24, 8, 1

(x + 2y)^4 = x^4 + 4x^3(2y) + 6x^2(2y)^2 + 4x(2y)^3 + (2y)^4 = x^4 + 8x^3y + 24x^2y^2 + 32xy^3 + 16y^4 => coefficients are 1, 8, 24, 32, 16

(x + 3y)^4 = x^4 + 4x^3(3y) + 6x^2(3y)^2 + 4x(3y)^3 + (3y)^4 = x^4 + 12x^3y + 54x^2y^2 + 108xy^3 + 81y^4 => coefficient are 1, 12, 54, 108, 81

Mathematics

The following table represents a function. x y -2 -1/8 -1 -1/2 0 -2 1 -8 2 -32 which exponential function does this table represent? a. y = 8(4)^(x-1) b. y = -8(4)^(x-1) c. y = 8(1/4)^(x-1) d. y = -8(1/4)^(x-1)

Step-by-step answer

P Answered by PhD

B.

Step-by-step explanation:

To find the right exponential function, we can just take x-values an replace them into the given functions. The one that give the correct y-values will be the answer.

For x=-2 , let's see which function gives $y=-\frac{1}{8}$

$y=8(4)^{x-1} \\y=8(4)^{-2-1}\\ y=8(4)^{-3}\\ y=\frac{8}{4^{3} }=\frac{1}{8}$

You can observe that function A is not the correct one, because it gives a positive result. However, function B can actually be the answer, because it woud give the same y-value than A but negative, as we need. Let's see

$y=-8(4)^{x-1}\\ y=-8(4)^{-2-1}\\ y=-8(4)^{-3}\\ y=-\frac{8}{4^{3} }=-\frac{1}{8}$

Let's evalute for x=0

$y=-8(4)^{0-1}=-8(4)^{-1}= -\frac{8}{4}=-2$

Which is right.

Therefore, the right answer is B.

Mathematics

The following table represents a function. x y -2 -1/8 -1 -1/2 0 -2 1 -8 2 -32 which exponential function does this table represent? a. y = 8(4)^(x-1) b. y = -8(4)^(x-1) c. y = 8(1/4)^(x-1) d. y = -8(1/4)^(x-1)

Step-by-step answer

P Answered by PhD

B.

Step-by-step explanation:

To find the right exponential function, we can just take x-values an replace them into the given functions. The one that give the correct y-values will be the answer.

For x=-2 , let's see which function gives $y=-\frac{1}{8}$

$y=8(4)^{x-1} \\y=8(4)^{-2-1}\\ y=8(4)^{-3}\\ y=\frac{8}{4^{3} }=\frac{1}{8}$

You can observe that function A is not the correct one, because it gives a positive result. However, function B can actually be the answer, because it woud give the same y-value than A but negative, as we need. Let's see

$y=-8(4)^{x-1}\\ y=-8(4)^{-2-1}\\ y=-8(4)^{-3}\\ y=-\frac{8}{4^{3} }=-\frac{1}{8}$

Let's evalute for x=0

$y=-8(4)^{0-1}=-8(4)^{-1}= -\frac{8}{4}=-2$

Which is right.

Therefore, the right answer is B.

Mathematics

Aclass of 160 students contains 40 honor students, 60 athletes, and 80 who are neither athletes nor honor students. from the entire group a student is chosen at random. the fraction equation that proves the events honor student and athlete are not independent is answers: 1/8 = 3/32 1/8 = 1/4 1/8 = 3/8 1/8 = 1/2

Step-by-step answer

P Answered by Master

27

We are given with the total number of students which is 160 on which 40 students are honors and 60 are athletes'
Solving for the probability that the chosen student is an athlete given that he is also an honor is P = 40 / 160.
P= 1/4
Solving for the probability that the chosen student is an honor student given that he is also an athlete is P = 60 / 160
P = 3/8

Then solving for the unknown, we have:
P=(1/4) x(3/8)
P=3/32

The answer is the letter "A".

Mathematics

Multiply fractions: 2/7 x 1/3, 6/11 x 22/30, 1/8 of 32, 2 1/2 x 5 1/3 divide fractions: 3/4 ÷ 1/3, 6 ÷ 1/7, 4 7/8 ÷ 3 1/4, 11 ÷ 1/9 it s ok if you only answer the multiplication problems(for you people).

Step-by-step answer

P Answered by PhD

=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 2/7 x 1/3 = 2/21
=> 6/11 x 22/30 = 132/330 = 2/5
=> 1/8 of 32 = 1/8 x 32/1 = 32/8 = 4
=> 2 1/2 x 5 1/3 => first convert 2 1/2 and 5 1/3(which are mixed fractions) into an improper fractions ...=> 5/2 x 16/3 => 80 /6 = 40/3

=> for dividing fractions we take the reciprocal of one fraction and then multiply ...

=> 3/4 ÷ 1/3 = 3/4/1/3 => 3/4 * 3/1 =>9/4
=> 6 ÷ 1/7 = > 6/1/7 => 6 * 7/1 => 42
=> 4 7/8 ÷ 3 1/4 => first convert 4 7/8 and 3 1/4 into improper fractions ..
=> 39/8 ÷ 13/4 => 39/8 * 4/13 => 156 /104 => 3/2
=> 11 ÷ 1/9 => 11/1/9 => 11 * 9/1 = 99

Hope it helps !!!

Mathematics

What is the solution to the equation 1/40x = 1/8 ? x = 320 x = 5 x = 48 x = 32

Step-by-step answer

P Answered by Master

8

The answer is x = 5. Hope that helps, God bless!

Mathematics

What is the solution to the equation 1/40x = 1/8 ? x = 320 x = 5 x = 48 x = 32

Step-by-step answer

P Answered by Specialist

8

The answer is x = 5. Hope that helps, God bless!

Mathematics

Choose the statement that correctly lists equivalent ratios. a. 1 : 6 = 20 : 120 = 5 : 30 b. 1 : 6 = 4 : 18 = 6 : 36 c. 1 : 8 = 20 : 120 = 3 : 24 d. 1 : 8 = 3 : 32 = 5 : 48

Step-by-step answer

P Answered by PhD

6

A. 1 : 6 = 20 : 120 = 5 : 30

1*20 : 6*20 = 20 : 120

1*5 : 6 * 5 = 5 : 30

So they are equivalent ratios

B. 1 : 6 = 4 : 18 = 6 : 36

1*4 : 6*4 = 4 : 24 which is not equivalent to 4 : 18

so, they are not equivalent ratios

C. 1 : 8 = 20 : 120 = 3 : 24

1*20 : 8*20 = 20 : 160 which is not equivalent to 20 : 120

so, they are not equivalent ratios

D. 1 : 8 = 3 : 32 = 5 : 48

1*3 : 8*3 = 3 : 24 which is not equivalent to 3 : 32

so, they are not equivalent ratios

Mathematics

Find f(-3) for f(x) = 4(2)^x A. 1/8 B. -32 C. 1/2 D. -24

Step-by-step answer

P Answered by Specialist

${{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}$

Find f(-3) for f(x) = 4(2)^x

D.-24

((−3)(4))(2)

=(−12)(2)

=−24

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