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MrRissso [65]
3 years ago
15

The U.S. annual energy consumption is roughly 1 x 1020 joules per a year. If there are 350,000,000 people in the U.S., express t

his as per person per second. Round to the hundredths. (hint: start by finding out how much energy one person uses per year.)
Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer with Step-by-step explanation:

Given the total energy consumption for all of the population is

E=1\times 10^{20}Joules

Thus energy consumed by each person per year can be obtained by dividing the total energy consumed by the total population Thus we get

E_{per\cdot person}=\frac{1\times 10^{20}}{350\times 10^{6}}\\\\E_{per\cdot person}=28.57\times 10^{10}Joules/Year

Now the energy consumed in each second assuming that there are 365 days in each year equals

E_{second}=\frac{28.57\times 10^{10}}{365\times 24\times 3600}\\\\E_{second}=9059.49Joules

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Needing help with this problem​
elena-s [515]

Answer:

The answer is x+6

Step-by-step explanation:

The Y intercept from the translated unit and the one before are 6 units apart

7 0
3 years ago
A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle
aleksley [76]

Answer: A. 31.5

Step-by-step explanation:

Using law of cosine because it is side angle side

a=16

b=21

angle = 116

c^2=a^2+b^2-2ab cosC, let C be the angle given

c^2=(21)^2+(16)^2-2(16)(21) cos(116)

c^2=441+256-672 cos(116)

i used a ti-89 and answered the right side and got

(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)

991.585

c^2=991.585

take square root of both sides

=31.4894, which if you round it up it would be 31.5, so the answer would be A

therefore:

a=16

b=21

c=31.5

4 0
3 years ago
a bicycle shop advertised all mountain bikes priced at a 1/3 discount.the original price of the bicycle is 327 dollars what is t
Andre45 [30]

It should be $109 for the bike because if u divide 327 by 3 it equals 109.

6 0
3 years ago
6. What is the sum of the solutions?
vlada-n [284]

x * x = x^2

x * .7 = .7x

-6 * x = -6x

-6 * .7 = -4.2

x^2 + .7x - 6x -4.2

x^2 - 5.3 - 4.2

x = 6

8 0
3 years ago
Evaluate the expression below using the properties of operations. Show your steps.−36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6
s2008m [1.1K]

Answer:

(-162)/7 or -23 1/7 as mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer:  (-162)/7

3 0
3 years ago
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