Evaluate the expression 12-3y\2 + y(2y-4\y) for y =3​

Answers

Answer 1

Answer:

43/2

Step-by-step explanation:

Evaluate 12 - (3 y)/2 + y (2 y - 4/y) where y = 3:

12 - 3 y/2 + y (2 y - 4/y) = 12 - 3×3/2 + 3 (2×3 - 4/3)

Hint: | Express -3×3/2 as a single fraction.

-3×3/2 = (-3×3)/2:

12 + (-3×3)/2 + 3 (2×3 - 4/3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

12 - (3×3)/2 + 3 (6 - 4/3)

Hint: | Multiply -3 and 3 together.

-3×3 = -9:

12 + (-9)/2 + 3 (6 - 4/3)

Hint: | Put the fractions in 6 - 4/3 over a common denominator.

Put 6 - 4/3 over the common denominator 3. 6 - 4/3 = (3×6)/3 - 4/3:

12 - 9/2 + 3 (3×6)/3 - 4/3

Hint: | Multiply 3 and 6 together.

3×6 = 18:

12 - 9/2 + 3 (18/3 - 4/3)

Hint: | Subtract the fractions over a common denominator to a single fraction.

18/3 - 4/3 = (18 - 4)/3:

12 - 9/2 + 3 (18 - 4)/3

Hint: | Subtract 4 from 18.

| 1 | 8

- | | 4

| 1 | 4:

12 - 9/2 + 3×14/3

Hint: | Express 3×14/3 as a single fraction.

3×14/3 = (3×14)/3:

12 - 9/2 + (3×14)/3

Hint: | Cancel common terms in the numerator and denominator of (3×14)/3.

(3×14)/3 = 3/3×14 = 14:

12 - 9/2 + 14

Hint: | Put the fractions in 12 - 9/2 + 14 over a common denominator.

Put 12 - 9/2 + 14 over the common denominator 2. 12 - 9/2 + 14 = (2×12)/2 - 9/2 + (2×14)/2:

(2×12)/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 12 together.

2×12 = 24:

24/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 14 together.

2×14 = 28:

24/2 - 9/2 + 28/2

Hint: | Add the fractions over a common denominator to a single fraction.

24/2 - 9/2 + 28/2 = (24 - 9 + 28)/2:

(24 - 9 + 28)/2

Hint: | Evaluate 24 + 28 using long addition.

| 1 |  

| 2 | 8

+ | 2 | 4

| 5 | 2:

(52 - 9)/2

Hint: | Subtract 9 from 52.

| 4 | 12

| 5 | 2

- | | 9

| 4 | 3:

Answer: 43/2


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Answer:

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-—-——-—-

Answers

Answer:

x = 1

Step-by-step explanation:

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Answer:

(`1/4)^4

Step-by-step explanation:

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24=

Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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In the first paragraph, why is the phrase "little mountain escape" in quotation
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to indicate that the Biltmore was built in the midst of the mountains
to highlight the goal the Vanderbilt's had in building the Biltmore
to provide a contrast to the actual enormity of the Biltmore

Answers

Answer:

D. To provide a contrast to the actual enormity of the Biltmore

Step-by-step explanation:

Usually, when something is in "quotes", it's used to indicate sarcasm, emphasis, or a direct quote. This indicated emphasis.

Answer A

I don’t know what this has to do with math, but answer A is the one that makes the most sense.

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Answers

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A.
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B.
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C.
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D.
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Answers

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b

Step-by-step explanation:

Find the exact value of s in the given interval that has the given circular function value.
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Answers

Answer:

[tex]\displaystyle s=\frac{3\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Values

We need to find the angle s in the interval [π/2,π] where:

[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]

There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.

The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:

[tex]\displaystyle s=\frac{\pi }{4}[/tex]

The other angle is its supplementary angle:

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Simplify (1/2 pt each)

-2^3=

8^2=

9^-1=

(-4)^-2=

HELPP PLSSS

Answers

Answer:

-2^3= -8

8^2= 64

9^-1= 1/9

(-4)^-2= 1/16

Step-by-step explanation:

Wish this can help you.

The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Simplify each expression, then we have

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8² = 64

9⁻¹ = 1/9

(-4)⁻² = 1 / (-4)² = - 1/16

The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.

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Answers

Answer:

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Step-by-step explanation:

(3 1/3)

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Step-by-step explanation:

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Answers

Answer:

y= -x+8

Step-by-step explanation:

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y= -x+8  

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Answer:

y = -x + 8

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -1 and the y intercept of that same line is 8

We want to find the equation in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the values of the slope and the y intercept, we can simply substitute these values into the formula to find the equation.

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Step-by-step explanation:

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Answer:

- 14

Step-by-step explanation:

Step 1:

- 0.5x - 3 = 4      Equation

Step 2:

- 0.5x = 7        Add 3 on both sides

Step 3:

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Answer:

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Answer:

$316

Step-by-step explanation:

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Answers

Answer:

yes, Jenny has enough flour for both recipes

Step-by-step explanation:

First, find what Jody and Jenny need for both their recipes. For this, we need a common denominator, 8

1 5/8=13/8

3/4=6/8

13/8+6/8=19/8

Jody has 3 1/2 cups of flour, which is 7/2 cups or 28/8.

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Answers

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

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Find the volume common to two spheres, each with radius r, if the distance between their centers is r/2. [Hint: It may be helpful to look at the previous question and see how it relates to this one. ] intersectingspheres

Answers

Answer:

The volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

Step-by-step explanation:

Let r be the radius of each sphere

We are given that distance between their centers is [tex]\frac{r}{2}[/tex]

Let [tex](\frac{-r}{4},0)[/tex] be the center of sphere 1 and [tex](\frac{r}{4},0)[/tex]be the center of sphere 2 .

Using the disk points

a=0 and b =[tex]\frac{3r}{4}[/tex]

[tex](x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}[/tex]

Hence the volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.

The solution is:

V = (11/12)×π×r³

Let´s call circumferences  1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) ×r×(r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

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If 120 customers have bought tickets today, how many free tickets has the manager given away

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Answers

answer:

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