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bazaltina [42]
3 years ago
14

The distance between planets in two stellar systems is 1.6x10^6 miles. If a spaceship is able to travel at 8,400 miles per hour,

will it be able to make the journey in under a year? Justify your answer with mathematical reasoning.
Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

Yes it will be able to make the journey in under a year.

Step-by-step explanation:

To find out how many hours it will take 1.6*10^2 and divide by 8400

\frac{1.6*10^2}{8400} = 190.476 hr

So it will take the space ship 190.476 hours to make the trip.

Next, ask our self, how many hours are in a year?

To find out multiply 365 * 24 = 8760 hr

The 365 = number of day in a year. The 24 = number of hours in a day.

Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph

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What is the width of todors area model? <br> 10x exponent2 -5x 15
mafiozo [28]

Answer:

The width of the area model is equal to

(2x^2-x+3)\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Todor was trying to factor 10x^2-5x+15 he found the greatest common factor of these terms was 5 what is the width

we know that

The area of a rectangular model is given by the formula

A=LW ----> equation A

where

L is the length

W is the width

we have

A=10x^2-5x+15

Factor the expression

A=5(2x^2-x+3)

substitute the value of the Area in the equation A

5(2x^2-x+3)=LW

In this problem

The greatest common factor of these terms is the length (L=5 units)

so

we can say that the width is equal to (2x^2-x+3)

therefore

The width of the area model is equal to

(2x^2-x+3)\ units

5 0
3 years ago
Which expression is equivalent to ((125^(2))/(125^((4)/(3))))
Anarel [89]
The answer is D, 25.
3 0
3 years ago
Read 2 more answers
Solve if x = 2, 10 +3(12 ÷ 3x)) = ?
QveST [7]

Answer: Sup. it's 16

Step-by-step explanation: Hope dis helps

if x = 2 and our equation is 10 +3(12 ÷ 3x), then u use substitution

So, the equation would become 10 + 3(12 ÷ 3(2)), which is 10 + 3(12 ÷ 6)

12÷6= 2, so the equation becomes 10 + 3(2).

3(2) = 6, so the equation would be 10 + 6 = 16

3 0
3 years ago
Please answer correctly !!!!!!! Will mark a lot of points !!!!!!!!
soldi70 [24.7K]

Answer:

here it is

Step-by-step explanation:

3 0
3 years ago
Assume that 20 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 80 perce
Alex73 [517]

Answer:

The probability that a randomly selected student plans to major in science is 40%

Step-by-step explanation:

Students who take calculus in high school = 20% or 0.2

Of these students, 80% or 0.8 plan to major in science.

That means of these students,

(100 -80) = 20% or 0.2 do not plan to major in science

Students who do not take calculus in high school = (100 -20)= 80% or 0.8

Of these students, 30% or 0.3 plan to major in science.

That means of these students,

(100 -30) = 70% or 0.7 do not plan to major in science.

The probability of students who take calculus in high school and plan to major in science = 0.2 * 0.8

= 0.16

= 16%

The probability of students who take calculus in high school and do not plan to major in science = 0.2 * 0.2

= 0.04

= 4%

The probability of students who do not take calculus in high school and plan to major in science = 0.8 * 0.3

= 0.24

= 24%

The probability of students who do not take calculus in high school and do not plan to major in science

= 0.8 * 0.7

= 0.56

= 56%

All of these probabilities will give 100% of the population.

(16+4+24+56)% = 100%

Therefore, the probability that a randomly selected student plans to major in science = 16% + 24%

= 40%

8 0
3 years ago
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