What is the value of a 3 - b 2 for a = 3 and b = ? A. 8 B. 8 3/4 26 3/4 26

1 yard = 3 ft

10/3 = 3 1/3 yards

3 1/3 x 4 = 13 1/3 square yards

Answer:  The required value of c that makes the given statement true is 5.

Step-by-step explanation:  We are given to find the value of c that makes the following statement TRUE :

[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the value of c, we need to equate the coefficients of the same powers of the unknown variable x.

From equation (i), we have

[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5\\\\\Rightarrow -2cx^{3+3}-2x^{3+2}=-10x^6-2x^5\\\\\Rightarrow -2cx^6-2x^5=-10x^6-2x^5.[/tex]

Equating the coefficients of [tex]x^6[/tex] on both sides of the above equation, we get

[tex]-2c=-10\\\\\Rightarrow c=\dfrac{-10}{-2}\\\\\Rightarrow c=5.[/tex]

Thus, the required value of c that makes the given statement true is 5.

The distribution of the z-scores for the time it takes to solve a crossword puzzle that is strongly skewed to the right with a mean of 30 minutes and a standard deviation of 15 minutes can be calculated using the formula z=(x-mean)/standard deviation. Z-scores can be used to determine how far a data point is from the mean in terms of standard deviations.

The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. The distribution of z-scores for those times can be calculated using the formula:

z = (x - mean)/standard deviation

For example, if a person takes 45 minutes to solve the puzzle, the z-score would be:

z = (45 - 30)/15 = 1

This means that the person's time is one standard deviation above the mean.

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y - y1 = m (x - x1)

where m is the slope and (x1 , y1) is the point given

We are given:

m= -1

the point is (2, 4)

Then:

Answer:

60 my vros                

Step-by-step explanation:

Answer:

0.45x + 12.50

Step-by-step explanation:

To put the given equation of a sphere in standard form, complete the square for x, y, and z, and combine constant terms on the right side. The standard form of the sphere's equation is (x + 2)2 + (y - 3)2 + (z - 3)2 = 28, with a center at (-2, 3, 3) and a radius of √28.

To write the equation of the sphere in standard form, we will complete the square for the x, y, and z terms in the given equation x2 + y2 + z2 + 4x − 6y − 6z = −6.

First, we organize the variables and separate the constants:

x2 + 4x + y2 - 6y + z2 - 6z = -6

We then complete the square for each variable by adding and subtracting the square of half the coefficient of the linear term:

x2 + 4x + 4 - 4 + y2 - 6y + 9 - 9 + z2 - 6z + 9 - 9 = -6

Now we can rewrite this as:

(x + 2)2 - 4 + (y - 3)2 - 9 + (z - 3)2 - 9 = -6

Combining the constant terms on the right side we get:

(x + 2)2 + (y - 3)2 + (z - 3)2 = 4 + 9 + 9 + 6

Which simplifies to:

(x + 2)2 + (y - 3)2 + (z - 3)2 = 28

The sphere's center is located at (-2, 3, 3) and has a radius of √28. In standard form, the equation of the sphere is:

(x + 2)2 + (y - 3)2 + (z - 3)2 = 28

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.

In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.

To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.

The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:

Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).

Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.

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Answer:

The value of the square root of 120 is 10.95

      What is square root ?

Square root of the number is the factor that we can multiply by itself to get that number .

     If square of a number is equal to another number than we can write

         m = n²

    And after taking root to both side

       √m = √n²

   We can cancel the square with root and

       √m = n

   We know the prime factor of 120

        120 = 2x2x2x3x5

   So the square root of 120 will be

       √(2x2x2x3x5)= 2 √(2x3x5)

                                = 2 √(30)

   And we know the value of √(30) = 5.477

     Root of 120 = 2x5.477

                           = 10.95

Hence , the square root of 120 is 10.95 .

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multiply 12 x 0.75

12 x 0.75 = 9

answer is B. 9 pounds

Answer:

Josh will need 9 pounds Option B.

Step-by-step explanation:

Josh wants to make a set of 12 ceramic cups.

For each cup he will need 0.75 pound of clay

We have to calculate how many pounds of clay does Josh need for 12 ceramic cups. So we have to multiply 12 cups by 0.75.

for 12 cups he will need = 12 × 0.75 = 9 pounds.

Josh will need 9 pounds to make a set of 12 ceramic cups.