The distance represented by x is____feet. (brainliest)

A small company that manufactures snowboards uses the relation P=162x-81x^2 to model its profit. In this model, x represents the

Snowcat [4.5K]

From the quadratic equation, it is found that the 2000 snowboards must be produced for the company to break even.

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The profit of producing x thousand snowboards is given by:

$P(x) = 162x - 81x^2$

The break even point is the value of x for which P(x) = 0, thus:

$162x - 81x^2 = 0$

$81x^2 - 162x = 0$

$81x(x - 2) = 0$

That has two solutions:

$81x = 0 \rightarrow x = 0$

$x - 2 = 0 \rightarrow x = 2$

x is in thousands, and we want the non-zero solution, thus 2000 snowboards must be produced for the company to break even.

A similar problem is given at brainly.com/question/24716530

5 0

3 years ago

A rectangular prism measures 225 inches by 315 inches by 2 inches. How many cubes with edge length 15 inch fit in the prism? Sho

Mandarinka [93]

Answer:

34 Cubes

Step-by-step explanation:

Step 1: Find the Volume of the Rectangular Prism

The dimensions of the rectangular prism are: 225 inches by 315 inches by 2 inches.

Volume of the Rectangular Prism = 225*315*2=141750 Cubic Inches

Step 2: Find the Volume of the Cube

Edge length of the cube, s=15 Inch

Volume of a Cube = $s^3$

Volume= $15^3$ =3375 Cubic Inches

Step 3: Determine how many cubes fit in the prism

To find out how many cubes fit in the rectangular prism, divide the volume of the rectangular prism by the volume of the cube.

Number of Cubes =Volume of the Rectangular Prism ÷ Volume of Cube

=141750 ÷ 3375

=34

34 Cubes will fit in the rectangular prism.

6 0

3 years ago

Need help i havent done this since 2015 :// lolz

scoray [572]

21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
m∠R = m∠P = 180° -m∠Q
m∠Q = 107°
m∠P = 73°

25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.

27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
2w+4 = 5w-6 . . . . w = 10/3
12 = 3x-3 . . . . . . . x = 5
6y = 4y+6 . . . . . . . y = 3
27 = (5/4)z +2 . . . z = 20

7 0

4 years ago

Read 2 more answers

PLz help will mark brainliest +25pts

Paha777 [63]

Answer:

54.8 Nm

Step-by-step explanation:

Torque is the cross product of the radius vector and force vector:

τ = r × F

Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.

τ = rF sin θ

Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.

τ = (0.366 m) (155 N) (sin 75°)

τ = 54.8 Nm

7 0

3 years ago

X+6=6+x is it a one solution, infinite solutions or no solutions

Nookie1986 [14]

Answer:

infinite solutions

Step-by-step explanation:

6 0

3 years ago