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notka56 [123]
2 years ago
6

How you write 12,430,000 in expanded form using exponents

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
7 0

Answer:

1 \cdot 10^7 +2 \cdot 10^6+ 4 \cdot 10^5+ 3 \cdot 10^4

Step-by-step explanation:

write 12,430,000 in expanded form using exponents

First we write the expanded form of each digit

1 is in ten millions place , 1 times 10,000,000

2 is in millions place , 2 times 1,000,000

4 is in hundred thousands place , 4 times 100,000

3 is in ten thousands place , 3 times 10,000

Now we write it in expanded form

1 \cdot 10,000,000 +2 \cdot 1,000,000 + 4 \cdot 100,000+ 3 \cdot 10,000

1 \cdot 10^7 +2 \cdot 10^6+ 4 \cdot 10^5+ 3 \cdot 10^4

Hatshy [7]2 years ago
6 0
(10,000,000)(2,000,000)(400,000)(30,000)
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The blue whale is the largest animal living on the earth. The average blue whale measures 100 feet long (30 meters) and weighs 3
mamaluj [8]

The average blue whale measures 100 feet(30 meters) long and weighs 300,000 pounds(136,000 kilograms).

  • A whale’s head is \frac{1}{3} of the length of its body. So, the length of a whale's head =(\frac{1}{3}*100)feet = 33.33 feet or (\frac{1}{3}*30)meter= 10 meter
  • A new baby whale is \frac{1}{4} length of a grown whale. So, the length of a new baby whale =(\frac{1}{4}*100)feet = 25 feet or (\frac{1}{4}*30)meter = 7.5 meter
  • The average man is \frac{1}{17} the length of a blue whale. So, the height of the average man =(\frac{1}{17}*100)feet = 5.88 feet or (\frac{1}{17}*30)meter =1.76 meter
  • The average man is \frac{1}{1818} the weight of a blue whale. So,  the average man weighs = (\frac{1}{1818}*300000)pounds= 165.02 pounds or = (\frac{1}{1818}*136000)kilograms= 74.81 kilograms
  • A human baby measures \frac{1}{4} of the length of an adult. So, the height of the average human baby = (\frac{1}{4}*5.88)feet = 1.47 feet or = (\frac{1}{4}*1.76)meter = 0.44 meter

5 0
2 years ago
Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S
Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0
2 years ago
Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
defon

Answer:

13.30

Step-by-step explanation:

$79.80 / 6 hours = $13.30

3 0
2 years ago
Read 2 more answers
the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four
aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is Hypotenuse^2=OneLeg^2+AnotherLeg^2

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

hyp^2=6^2+8^2\\hyp^2=100\\hyp=10

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hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = 10+\sqrt{208} +15+\sqrt{117}\\ =50.24 yards

8 0
2 years ago
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
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total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
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soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
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