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2 years ago

15

Determine whether the set of events described below is complementary, mutually exclusive, or neither. A traffic light shows red,

yellow, or green.

1 answer:

swat322 years ago

7 0

Answer:

neither is the right answer

hope that helps

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The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coordinates. y =

jeka57 [31]

Answer:

k = -3

Step-by-step explanation:

f(x) = -2x+1

g(x) = 6x - 3

=> g(x) = k.f(x)

6x - 3 = k(-2x+1)

k = (6x-3)/(-2x+1)

= 3(2x-1)/-1(2x-1)

k = 3/(-1) = -3

6 0

3 years ago

As the driver of an 18-wheeler the maximum weight allowed for your truck in one state is 80,000 pounds. How many tons is that?

Alika [10]

Answer: 40 tons

Step-by-step explanation:

One Ton= 2,000 lbs.

80,000/2,000= 40

7 0

4 years ago

Find the vertex of this parabola:<br> y = -x2 - 4x - 2

VikaD [51]

<h3>Hello!</h3>

$===============================$

In order to find the vertex of a parabola, we use the following formula:

$\bold{\displaystyle\frac{-b}{2a} }}$

Remember, a parabola looks like so:

$\tt{y=ax^2+bx+c}$

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

$\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}$

Simplify:

$\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}$

Divide:

$\hookrightarrow\sf{-2}$

$===================================$

<h3>Notes:</h3>

Hope everything is clear.
Let me know if you have any questions!
Enjoy your day!
Always remember: Knowledge is power!

<h3>Answered by:</h3>

$\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}$

3 0

3 years ago

You are working for a company that designs boxes, bottles and other containers. You are currently working on a design for a milk

ra1l [238]

Volume is a measure of the <u>quantity </u>of <em>substance</em> a given <u>object</u> can contain. The required answers are:

1.1 The <u>volume</u> of each <u>milk</u> carton is 360 $cm^{3}$ .

1.2 The area of <em>cardboard</em> required to make a single <u>milk</u> carton is 332.6 $cm^{2}$ .

1.3 Each <u>carton</u> can hold 0.36 liters of <u>milk</u>.

1.4 The <em>cost</em> of filling the 200 <u>cartons</u> is R 86.40.

The <u>volume</u> of a given <u>shape</u> is the amount of <em>substance</em> that it can contain in a 3-dimensional <em>plane</em>. Examples of <u>shapes</u> with volume include cubes, cuboids, spheres, etc.

The <u>area</u> of a given <u>shape</u> is the amount of <em>space</em> that it would cover on a 2-dimensional <em>plane</em>. Examples of <u>shapes</u> to be considered when dealing with the area include triangle, square, rectangle, trapezium, etc.

The box to be considered in the question is a <u>cuboid</u>. So that;

<u>Volume</u> of <u>cuboid</u> = length x width x height

Thus,

1.1 The <u>volume</u> of each <u>milk</u> carton = length x width x height

= 6 x 6 x 10

= 360

The <u>volume</u> of each <u>milk</u> carton is 360 $cm^{3}$ .

1.2 The <em>total area</em> of<em> cardboard </em>required to make a single<u> milk</u> carton can be determined as follows:

i. <u>Area</u> of the <u>rectangular</u> surface = length x width

= 6 x 10

= 60

Total <u>area</u> of the <u>rectangular</u> surfaces = 4 x 60

= 240 $cm^{2}$

ii. <u>Area</u> of the <u>square</u> surface = side x side = s²

= 6 x 6

<u>Area</u> of the <u>square</u> surface = 36 $cm^{2}$

iii. There are four <em>semicircular</em> <u>surfaces</u>, this implies a total of 2 <u>circles</u>.

<em>Area</em> of a <u>circle</u> = $\pi r^{2}$

where r is the <u>radius</u> of the <u>circle</u>.

Total <u>area</u> of the <em>semicircular</em> surfaces = 2 $\pi r^{2}$

= 2 x $\frac{22}{7}$ x $(3)^{2}$

= 56.57

Total <u>area</u> of the <em>semicircular</em> surfaces = 56.6 $cm^{2}$

Therefore, total area of <em>cardboard</em> required = 240 + 36 + 56.6

= 332.6 $cm^{2}$

The <u>area</u> of <em>cardboard</em> required to make a single <em>milk carton</em> is 332.6 $cm^{2}$ .

1.3 Since,

1 $cm^{3}$ = 0.001 Liter

Then,

360 $cm^{3}$ = x

x = 360 x 0.001

= 0.36 Liters

Thus each<em> carton</em> can hold 0.36 liters of <u>milk</u>.

1.4 total cartons = 200

<em>Total volume</em> of <u>milk </u>required = 200 x 0.36

= 72 litres

But, 1 kiloliter costs R1 200. Thus

<em>Total volume</em> in kiloliters = $\frac{72}{1000}$

= 0.072 kiloliters

The <u>cost</u> of filling the 200 cartons = R1200 x 0.072

= R 86.40

The <u>cost</u> of filling the 200 <u>cartons</u> is R 86.40.

For more clarifications on the volume of a cuboid, visit: brainly.com/question/20463446

#SPJ1

4 0

2 years ago

Nth term of this sequence -5 -2 3 10 19

Georgia [21]

Answer:

3

Step-by-step explanation:

5 0

3 years ago