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Sloan [31]
3 years ago
9

A car travels at an average speed of 45 miles per hour for 8 miles, reduces its speed by 15 miles per hour for the next 4 miles,

and then returns to a speed of 45 miles per hour. How long does the car travel at the reduced speed?
Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

8 minutes

Step-by-step explanation:

time = distance/speed

A decrease of 15 mph from 45 mph means the speed on the second segment is 30 mph. Filling in the given values in the above equation, we have ...

... time = (4 mi)/(30 mi/h) = 4/30 h = 8/60 h × (60 min/h) = 8 min

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What is the first step in describing what figure results when a given plane intersects a given three-dimensional figure
mafiozo [28]
There are three possible results when a plan intersects with a three-dimensional figure and these are:
a point
a line
a plane

The first step in describing the result is to determine first how the plane and the figure intersects.
3 0
3 years ago
What is an estimate of :78% of 112
Nataliya [291]
87.36
This can be rounded to equal 87.4.

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
Find the derivative of sin2X<br>​
inn [45]

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

5 0
2 years ago
Read 2 more answers
An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
4 years ago
Lisa drove 819 miles 13 hours. At the same rate, how long would it take her to drive 504 miles?
Damm [24]

Answer:

The answer is

<h2>8 hours</h2>

Step-by-step explanation:

To solve this question we use ratio and proportion

From the question

Lisa drove 819 miles for 13 hours

If for Lisa drove 819 miles for 13 hours

Then for 504 miles she will drive

<h2>\frac{504  \times  13}{819}  =  \frac{6552}{819}</h2>

We have the final answer as

<h3>8 hours</h3>

Hope this helps you

8 0
4 years ago
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