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Montano1993 [528]
2 years ago
6

alvin and simon raced a distance of 2.9 x 10^2 kilometers. they need to race 7 times that distance in kilometer. how far must th

ey travel in kilometers in scientific notation
Mathematics
1 answer:
dimaraw [331]2 years ago
8 0

The distance in kilometers in scientific notation 2.03 \times 10^3 km

<h3>Scale factors</h3>

Scale factors are values or constants multiplied with a variable

If Alvin and Simon raced a distance of 2.9 \times 10^2 kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:

  • Distance travelled = 7(2.9 \times 10^2)
  • Distance travelled = 2.03 \times 10^3 km

Hence the distance in kilometers in scientific notation 2.03 \times 10^3 km

Learn more on distance here: brainly.com/question/23848540

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HELP ME PLEASE!!!!!!!!!!!!!!!!
Pepsi [2]

The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

<h3>System of equations</h3>

Given the following system of equations expressed as:

f(x) = x² - 2x + 3 and f(x) = -2x + 12

Since they are both function of x, hence;

x² - 2x + 3 = -2x + 12

x² - 2x + 3 + 2x - 12 = 0

x² - 9 = 0

x² = 9

x = ±√9

x = ±3

If x = 3

f(x) = -2(3) + 12

f(x) = 6

If x = -3

f(x) = -2(-3) + 12

f(x) =18

Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

Learn more on system of equation here: brainly.com/question/14323743

#SPJ1

6 0
2 years ago
Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step
Reil [10]

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

\frac{-6+-30}{5--2}=\frac{-36}{7}(because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

7 0
3 years ago
List three ways in which random numbers may be generated for use in a simulation.
balu736 [363]
Random numbers for a simulation might come from
1) a table of random numbers

2) a computer random number generator, such as ones available in many spreadsheet programs

3) digitizing the noise of the Universe. Such random numbers are available on some web sites.
7 0
3 years ago
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll
slamgirl [31]

Answer:

The score is  x  =  1884

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  = 1500

     The standard deviation is  \sigma  =  300

     

From the question we are told that the score follow a normal distribution

i.e     X  \~  \   N( 1500 , 300)

The proportion of score in the top 10% is mathematically

           P(X > x )  =  P( \frac{X -  \mu}{\sigma }  > \frac{x -  \mu}{\sigma }   ) = 0.10

Where x is the minimum score required to be in the top 10%

Now the \frac{X -  \mu}{\sigma }   =  Z (The  \ Standardized \ value \  of  \  X)

  So

            P(X > x )  =  P( Z > \frac{x -  \mu}{\sigma }   ) = 0.10

So

            P(X > x )  =  P( Z > \frac{x -  1500}{300}   ) = 0.10

So the critical value of  0.10  from the normal distribution table is  Z_{0.10} =  1.28

So

               \frac{x -  1500}{300}   = 1.28

              x  =  1884

           

       

6 0
3 years ago
One positive number is 9 more than twice another. If their product is 731 find the numbers
Anastaziya [24]
The answer is 361.

This is because you take 731 and subtract 9 and you get 722. Then you divide 722 by two and you get 361.

Hope this helped!!
3 0
3 years ago
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