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hjlf
2 years ago
7

.PLEASE HELP! As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun

is between Earth and Mars (Point B). The distance from the Sun to Mars is approximately 2.3 times 10 Superscript 8 km, and the distance from the Sun to Earth is approximately 1.5 times 10 Superscript 8 km. The rotations of Earth and Mars around the sun. Which statements are true? Check all that apply. When they are on the same side of the Sun, the distance between Mars and Earth is approximately 8 times 10 Superscript 9 kilometers. When they are on the same side of the Sun, the distance between Mars and Earth is approximately 8 times 10 Superscript 7 kilometers. When they are on the same side of the Sun, the distance between Mars and Earth is approximately 3.8 times 10 Superscript 8 kilometers. When they are on opposites sides of the Sun, the distance between Mars and Earth is approximately 3.8 times 10 Superscript 8 kilometers. When they are on opposites sides of the Sun, the distance between Mars and Earth is approximately 0.8 times 10 Superscript 8 kilometers.
Mathematics
1 answer:
djverab [1.8K]2 years ago
7 0

Answer:

b)When they are on the same side of the Sun, the distance between Mars and Earth is approximately 8 times 10 Superscript 7 kilometers. and c)When they are on opposites sides of the Sun, the distance between Mars and Earth is approximately 3.8 times 10 Superscript 8 kilometers.

Step-by-step explanation:

took on edgenuity 2020

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Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0
2 years ago
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
LUCKY_DIMON [66]

Answer:

y2 = C1xe^(4x)

Step-by-step explanation:

Given that y1 = e^(4x) is a solution to the differential equation

y'' - 8y' + 16y = 0

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Let

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Because y2 is a solution to the differential equation, it satisfies

y2'' - 8y2' + 16y2 = 0

y2 = ue^(4x)

y2' = u'e^(4x) + 4ue^(4x)

y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)

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Using these,

y2'' - 8y2' + 16y2 =

[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0

u''e^(4x) = 0

Let w = u', then w' = u''

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Integrating this, we have

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2 years ago
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grigory [225]

<u>Answer:</u>

The maximum number of turkey sandwiches Ben could have sold is 6.

<u>Step-by-step explanation:</u>

We are given that turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand.

Given the information, we are to find the maximum value of turkey sandwiches Ben could have sold.

2 . 5 0 x + 3 . 5 0 y \leq 3 0

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2.50x + 3.50(4) <   30

2.50x + 14          <   30

<u>           - 14               -14 </u>

2.50x                   <   16

x

x

The maximum number of turkey sandwiches Ben could have sold is 6.

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h = 170/19,625 = 8,662 inches
7 0
2 years ago
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