Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr

The required work to pump water is 3,325,140 Joules. Step-by-step explanation: Work done by the pump is calculated by multiplying the force exerted on the pump by the distance the water is moved. Force equates to mass multiplied by gravitational acceleration. Consequently, Force = (water density × tank volume) × gravitational acceleration, leading to F = ρVg. Therefore, Work done = (ρVg) * d. Given the values of ρ = 1000 kg/m³, g = 9.8 m/s², d = 3 m, we compute the work done: Work = 1000 * 113.10 * 9.8 * 3 = 3,325,140 Joules.

For the first film he may pick any of 6 options; once that choice is made, 5 remain for the second, then 4 for the third, and so forth.

Hence the total is 6! = 6*5*4*3*2 = 720 possible orders

Answer:

Answer choice C. .

Step-by-step explanation:

The entire question is present in the attached figure.

It is established that

The function f(x) is represented by

,

indicating a parabola that opens upward.

The vertex is situated at the point (0,0).

The function g(x) shares the same parabolic shape.

The vertex of g(x) is located at (-3,1).

Therefore,

The transformation from f(x) to g(x) can be described as:

(0,0) transforms to (-3,1).

(x,y) transforms to (x-3,y+1).

This indicates a shift of 3 units to the left and 1 unit upward.

Thus,

The equation for g(x) in vertex form can be expressed as

.

Answer:

A. Cone

D. Rectangular Prism

E. Cylinder

F. Sphere

Step-by-step explanation:

A rectangular prism is defined as a three-dimensional solid shape with six rectangular faces. It is commonly known as a cuboid. It cannot be formed from two-dimensional figures. A sphere is an example of a three-dimensional circular object. The circumference gives it its distinct shape, which also cannot be constructed using two-dimensional forms.

66 different ways is the result.