The chief designer for a large automobile company is considering 4 different radiator grills, 2 different styles of headlights, and 5 different rear fender designs. If an automobile style consists of a grill, headlight, and rear fender, how many different styles of automobiles can be designed?None of the above
11
440
40

Answers

Answer 1

Answer: I believe it is 40, but I'm not quite sure if it's correct.

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Describe how the shape moves from:Frame 1 to Frame 2

Frame 2 to Frame 3

Frame 3 to Frame 4

Answers

Answer:

1. Frame 1 to Frame 2 - Vertical downward translation

2. Frame 2 to Frame 3 - $90^(0)$ counterclockwise rotation

3. Frame 3 to Frame 4 - Vertical upward translation

Step-by-step explanation:

The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.

1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.

2. Rotating the shape in frame 2 by $90^(0)$ counterclockwise would move it to the shape in frame 3.

3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

Answers

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

$m=1$ and $m+n=4$

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula,

$x=\left((m)/(m+n)\right)\left(x_(2)-x_(1)\right)+x_(1)$

Substituting the values, we get;

$x=\left((1)/(4)\right)\left(4+5\right)-5$

$x=(9)/(4)-5$

$x=-(11)/(4)$

Thus, the x - coordinate of the point P is $-(11)/(4)$

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

$y=\left((m)/(m+n)\right)\left(y_(2)-y_(1)\right)+y_(1)$

Substituting the values, we get;

$y=\left((1)/(4)\right)\left(1+1\right)-1$

$y=(2)/(4)-1$

$y=(-2)/(4)$

$y=-(1)/(2)$

Thus, the y - coordinate of the point P is $-(1)/(2)$

Therefore, the coordinates of the point P is $\left((-11)/(4), (-1)/(2)\right)$

Hence, Option C is the correct answer.

Answer:

The answer is C

Step-by-step explanation:

Find the inverse of f(x)=(x-1)^3

Answers

$f (x)=(x-1)^3 \n y =(x-1)^3 \n\n\sf Replace~ x ~with~ y ~and~ vice~ versa \n x = (y-1)^3 \n \sqrt[3]{x} =y-1 \n \n Solve~for~y\n\n \boxed {y= \sqrt[3]{x} +1}$

A bar graph is used to represent numerical data.

true or false

Answers

A bar graph is used to represent numerical data.true or false correct answer:true

Answer:

the correct answer is true. easy

A student is deriving the quadratic formula. Her first two steps are shown.Step 1: –c = ax2 + bx

Step 2: -c = a[x^2+b/ax]

Which best explains or justifies Step 2?

division property of equality

factoring the binomial

completing the square

subtraction property of equality