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Elza [17]
3 years ago
13

A certain control heating process requires that the temperature be raised from − 23 ∘ C at the rate of 4 ∘ C every hour . Find t

he temperature after 12 hours .
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

Temperature after 12 hours = 25°C

Step-by-step explanation:

Given:

Current tempreture = -23°C

Tempreture incresing rate = 4°C per hour

Total time = 12 hour

Find:

Temperature after 12 hours

Computation:

Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)

Temperature after 12 hours = -23 + (4)(12)

Temperature after 12 hours = -23 + 48

Temperature after 12 hours = 25°C

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SVETLANKA909090 [29]

Answer:

C ( 11 , -11 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                   A ( 3 , -5 )              B ( 13 , -15 )

The point C lies on the line segment from A to B. The ratio of segment given is:

                              AC / AB = 4 / 5

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

                 d = OB - OA

                 d = < 13 , -15 > - < 3 , -5 >  

                 d = < 10 , -10 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

                < x , y > = OA + s*d

                < x , y > = < 3, -5 > + s* < 10 , -10 >  

The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:

               < x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >  

               < x , y > = < 3 , -5 > + < 8 , -8 >  

              < x , y > = < 11 , -11 >   ... Answer

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3 years ago
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Shtirlitz [24]

b. One hundred and fifty (150) square feet

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You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into small
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3 years ago
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If Susie is late for school one particular day of the week, the probability she arrives on time the next day is 0.8. If she arri
Andre45 [30]

Answer:

0.273 = 27.3% probability that she was late on Thursday.

Step-by-step explanation:

On time on Monday, late on Thursday:

Possible outcomes (tuesday-wednesday-thursday).

on time(0.7 probability) - on time(0.7 probability) - late(0.3 probability)

on time(0.7 probability) - late(0.3 probability) - late(0.2 probability)

late(0.3 probability) - on time(0.8 probability) - late(0.3 probability)

late(0.3 probability) - late(0.2 probability) - late(0.2 probability).

What is the probability she was late on Thursday?

Sum of these four outcomes. So

p = 0.7*0.7*0.3 + 0.7*0.3*0.2 + 0.3*0.8*0.3+0.3*0.2*0.2 = 0.273

0.273 = 27.3% probability that she was late on Thursday.

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yaroslaw [1]
You need 710 ft of fencing.
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