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3 years ago

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION???

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

The complete answer is explained below.

Step-by-step explanation:

The problem is demanding to simply determine the number of years each color light would last.

We know the following information from the question:

As it is clear that a red light remains TURNED ON 50% of the time.
Green remains TURNED ON 42% of the time
Yellow remains TURNED ON 8% of the time.

Also the bulbs for each color are LED and are designed to last 100,000 hours. So, each light does last 100,000 hours.

lets make conversions

$1\:day\:=\:24\:hours$

$1\:year\:=\:365\:days$

Dividing $100,000$ hours by $24$ hours would bring $4166.67$ days

Dividing $4166.67$ days by $365$ days would bring $11.4$ years, meaning 11 years and 4 months.

Keywords: light, conversion, day, hours

Learn more about conversions from brainly.com/question/402716

#learnwithBrainly

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What is the value of x?<br> 40°<br> (6x + 2)

Anvisha [2.4K]

Answer:

x = 8

Step-by-step explanation:

40 + 6x + 2 = 90 {Complementary angles}

Combine like terms

40+ 2 + 6x = 90

42 +6x = 90 {Subtract 42 form both sides}

6x = 90 - 42

6x = 48 {divide both sides by 6}

6x/6 = 48/6

x = 8

6 0

4 years ago

Read 2 more answers

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

4 years ago

What is the measure of angle J in the triangle? Drawing is not to scale

DaniilM [7]

39 degrees is the answer

3 0

3 years ago

the scale map says that 10cm represents 2km what distance on the map in centimeters represent an actual distance of 15 kilometer

Leno4ka [110]

Answer:

75cm

Step-by-step explanation:

Well, I can't see a photo, so I'll have to assume that the description provides enough info.

10cm/2km = x/15km,

where x is the distance on the map (in centimeters) of a real-life distance of 15 kilometers.

10cm/2km = x/15km

10/2 = 5/1

This means we have to multiply 5 by 15 to find x.

x = 5 · 15

x = 75

Let's plug the new value back in...

10cm/2km = x/15km

10cm/2km = (75cm)/15km

<em>(Simplify each side to its simplest form)</em>

10cm/2km = 75cm/15km

5/1 = 5/1

It works! So x = 75cm.

Hope this helps! :)

8 0

3 years ago

Do all ratios compare a part to a whole number? Explain

STALIN [3.7K]

Yes and no...

A ratio can be defined in a new ways. Let's say I have a party with twelve people, four of whom are male and eight of whom are female. The ratio of male to female guests would be written as 4:8, neither of which is the whole number (12) but which instead relate parts of the whole. I could alternatively write the ratio of male guests to total guests as 4/12. This does compare it to the whole. A ratio relates two quantities by showing how many times one quantity is contained within or contains another quantity.

By the phrasing of your question, I'm not sure if you maybe mean whole number as an integer. If that's the case, then yes, ratios are almost always written as integers. If I had something like 8.5:7, I would multiply it by two to get 17:14, which is a correct ratio.

4 0

4 years ago