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2 years ago

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

Mathematics

1 answer:

serg [7]2 years ago

4 0

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

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A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to

omeli [17]

Answer:

circumscribed circle
The center of a circle circumscribing the triangle connecting the 3 cities will be equidistant from all three cities.

Step-by-step explanation:

The circumscribed circle or <em>circumcircle</em> of a polygon is a circle that passes through all the vertices of the polygon. The center of the circle, the circumcenter, is equidistant from all of the polygon's vertices.

The center is found at the point of intersection between the perpendicular bisectors of any two (non-parallel) chords of the circle. That is, <em>the perpendicular bisectors of any two of the sides of the triangle joining the cities will intersect at the circumcenter</em>.

The method of locating the center of the circle this way is simple and effective.

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2 years ago

Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground.

Harman [31]

Answer: A. The apple takes 8 seconds to reach the ground.

3 0

2 years ago

As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice t

Firlakuza [10]

Answer:

You'd have to buy 3 shirts in order to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99

One particular brand of shirts is on sale for 20% off the original price.

$17.99*0.2= $3.60 (amount taken off for each shirt)

Now subtract $3.60 from $17.99.

$17.99 - $3.60 = $14.39 (per shirt)

40 / 14.39 = 2.779 (round to 3)

You'd have to buy 3 shirts in order to use your coupon.

$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40

7 0

2 years ago

PLEASE GIVE AN EXPLANATION!! In your grade of 380 students, 70% play a musical instrument. 60% of the boys play a musical instru

Liula [17]

Answer:

270 girls

Step-by-step explanation:

Total number of students = 380

Play musical instrument = 70%

Boys who play musical instrument = 60%

Number of girls who play musical instrument = 200

How many girls are in the class?

Number of play musical instrument = 70% of 380

(0.7 * 380) = 266

Since number of girls who play musical instrument = 200

Then number of boys who play = (266 - 200) = 66

Hence, 66 boys is equivalent 60% of the boy's population

Let population of boys = b

0.6b = 66

b = 110

Number of girls in class :

Number of boys + number of girls

110 + number of girls = 380

Number of girls = 380 - 110

Number of girls = 270

6 0

2 years ago

An anthropologist finds that a prehistoric bone contains less than 8.1% of the amount of Carbon-14 the bones would have containe

stealth61 [152]

Answer:

20,944 years

Step-by-step explanation:

The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:

$N(t)=N_{0} e^{-kt}$

where N(t) is the amount left over after the decay occurs, $N_{0}$ is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,

$8.1=100e^{-.00012t}$

Begin by dividing the 100 on both sides to get

$.081=e^{-.00012t}$

Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.

ln(.081)= -.00012t

Take the natual log of .081 on your calculator to get

-2.513306124 = -.00012t

Now divide both sides by -.00012 to get t = 20,944 years

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2 years ago