If y^8= 4 and y^7=3/x, what is the value of y in terms of x?

Answers

Answer 1
Answer: y^8 = y^7 * y => 4 = (3/x) *y => y = (4x)/3;

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Select all of the sentences that are punctuated correctly.The dogs's bowl was empty.
The dog's bowl was empty.
The singers's songs were finished.
The singers' songs were finished.

Answers

Answer:

The dogs's bowl was empty. This is wrong as there dogs's is not the way to write.

The dog's bowl was empty. This is the correct form where dog's is written properly.

The singers's songs were finished. This is wrong as singers's is not the way to write.

The singers' songs were finished. This is also correct as singer's is written properly.


The dog's bowl was empty.

The singer's songs were finished.

How much hydrochloric acid is in a 60 milliliter bottle that is marked 80% hydrochloric acid

Answers

Work:

80% = 0.80

0.80 × 60 = 48

Answer:

48 milliliters

What multiplies to be 9 and adds to be 0

Answers

is it 9 or -9 ; 
But if it's -9, the answer will be 3,-3.

Sarah is planning to spend a week at her friend’s summer house in Miami Beach. All meals will be provided by her friend’s parents, but Sarah still needs at least $500 to pay for her airfare and personal expenses for the week. She is selling bracelets and earrings to fund her trip. A graph representing this situation is shown below.Questions:
1.This region represents the combinations of bracelets and earrings that Sarah must sell in order to get a minimum of $500 profit to pay for her trip.
2.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.
3.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.

graph below ∨↓↓↓↓

Answers

Given:
x > 50
2x + 3y > 500

Bracelet is represented by x.
Earrings is represented by y.

Since x > 50 let us assume that x = 50 to get the value of y in the inequality equation.

2x + 3y       > 500
2(50) + 3y  > 500
100 + 3y    > 500
-100             -100
         3y     > 400
          ÷3         ÷3
           y     > 133 1/3

x > 50 ; y > 133 1/3

Let us assume that no bracelet was sold. x = 0 ; y =? 

2x + 3y     > 500
2(0) + 3y   > 500
0     + 3y   > 500
       ÷ 3          ÷3
            y   > 166 2/3

Let us assume that no earrings was sold; y = 0 ; x = ?
2x + 3y   > 500
2x + 3(0) > 500
2x + 0     > 500
2x           > 500
÷2               ÷2
x             > 250

Let us assume that we sold have of each item.
x = 250/2 = 125 ; y = 166 2/3 ÷ 2 = 100

2x + 3y              > 500
2(125) + 3(100) > 500
250 + 300         > 500
550                   > 500

To get at least $500, Sarah needs to sell at least 100 bracelets and 100 earrings.

the first one is region 2 and the second is region 3 i think

What number should be added to both sides of the equation to complete the square?x2 + 12x = 11

Answers

given:
x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x
2ab = 12x ⇒ 2(6)x
b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6)(x+6) = 47

Both sides must be added with 36.

Answer:

36.

Step-by-step explanation:

We have been given an equation x^2+12x=11 and we are asked to find the number that should be added to both sides of the equation to complete the square.

To complete the square we divide the constant with x term by two and add the square of that number to both sides of equation to complete the square.

((b)/(2))^2

We can see that constant of x term is 12, so let us divide 12 by 2.

(12^2)/(2^2)

(144)/(4)

36

Therefore, we should add 36 to both sides of our equation to complete the square.

After adding 36 to both sides of our equation we will get,

x^2+12x+36=11+36

x^2+12x+6^2=47

(x+6)^2=47

What is the slandered form of equation y = -3/2 x + 5

Answers

Answer:

Ax+By=C

Step-by-step explanation:

basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).