If x = -6, which inequality is true?

The standard error of the sample nean for a population that consists of 500 observations is 1.5

From the information, the population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

It should be noted that the sample mean is calculated as:

= Standard deviation / ✓number

= 15 / ✓100

= 15 / 10

= 1.5

Therefore, the standard error is 1.5.

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Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  28

Step-by-step explanation:

The total of the 3 numbers will be 3×15 = 45. Then the third number is ...

  45 -7 -10 = 28

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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ANSWER

$20,000

EXPLANATION

We want to find how much Mr Crankshaft has to sell to make a commission of $1000.

Let the amount he sells be x.

Since the commission rate is 5%, it means that 5% of x must be equal to $1000 (his commission).

Therefore, we have that:

He has to sell $20,000.

Then,

Answer:

0.675

Step-by-step explanation:

27/40

- Divide each number by 10

2.7/4

- Multiply each number by 25

67.5/100

Convert that into a decimal. :)

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

Step-by-step explanation:

the real answer is m=12:))

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

this hard

Step-by-step explanation:

Answer: C

Step-by-step explanation:

We have to solve this expression.

We can solve it dividing both sides by 6:

Answer: x = 7

Step-by-step explanation:

Answer:

g(1) = -4

Step-by-step explanation:

Given that,

→ x = 1

Then the value of g(1) will be,

→ g(x) = -x - 3

→ g(1) = -1 - 3

→ [ g(1) = -4 ]

Hence, the answer is -4.

\(\tt{Hey\)  \(\tt{there!\)

\(\tt{\frac{3}{4}-\frac{5}{10}\)

Subtract the two fractions:

\(\tt{\frac{3}{4}-\frac{5}{10}=\frac{1}{4}\)

\(\boxed{\tt{\frac{1}{4}}}\)

\(\tt{Hope\)  \(\tt{this\)  \(\tt{helps!\)

\(\boxed{\tt{-TestedHyperr}}\)

Answer:

83

Step-by-step explanation:

all triangles =180° total

180-53-44=83°

Answer:

Haha this isn't college  Alyssa fills 5 pitchers.  4.5 divided by the liters of lemonade(0.9) equals 5 pitchers because 9x5=45 so, 4.5 liters of lemonade divided by 0.9 liters equals 5 pitchers.

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

The number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).

The number of squares that can be formed with all their vertices belonging to the points of a grid can be calculated using the formula:

n² - (n-1)²

where n is the number of points on one side of the grid.

This is because there are n² total points on the grid, and each point can be used as a vertex for n-1 squares (when n>1) in the horizontal and vertical directions. However, each of these squares is counted twice, once for each corner point. So we subtract (n-1)² to account for the overcounting.

For example, if there are 4 points on one side of the grid, the number of squares that can be formed is 4² - (4-1)² = 16 - 9 = 7 squares.

In general, the number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).

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Answer:

The answer to the question provided is y = -5x - 5

(I think)

Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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where t is a variable with a range of 0 to 2.

x = 4 sqrt(3) cos x (t)  Z = 4 sqrt(3) sin  y = 7 (t)

The plane y=7 intersects the sphere x^2+y^2+z^2=113 at a circle in the plane y=7, we can write the parametrization of the circle using cos(t) and sin(t) as follows:

x = r cos(t)

y = 7

z = r sin(t)

where r is the radius of the circle. To find the value of r, we can substitute y=7 into the equation of the sphere and solve for x and z:

x^2 + y^2 + z^2 = 113

x^2 + 7^2 + z^2 = 113

x^2 + z^2 = 48

r^2 cos^2(t) + r^2 sin^2(t) = 48

r^2 = 48

r = sqrt(48) = 4 sqrt(3)

The parametrization of the circle of intersection is:

x = 4 sqrt(3) cos(t)

y = 7

z = 4 sqrt(3) sin(t)

where t is a parameter that varies from 0 to 2π.

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Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000