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Anestetic [448]
3 years ago
15

Which of the following phases are expressions

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0
Attach a picture of the question please.
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The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min
Deffense [45]

Answer:

a

    f'(t) is  negative

b

 The  unit is degC/min

c

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         H= f(t)

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        |f(35)'| =  1.5

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         |f(35)| =  68

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  \frac{30}{60}= 0.5 \ minutes the  rate  of change of the temperature of the cup of  coffee is  

          R =  |f(35)'| *  t

=>        R = 1.5  *  0.5

=>        R = 0.75    

So

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.  

     

5 0
3 years ago
Select the correct answer from each drop-down menu.
podryga [215]

Answer with explanation:

\text{Average}=\frac{\text{Sum of all the observation}}{\text{Total number of Observation}}

Average Height of tallest Building in San Francisco

                    =\frac{260+237+212+197+184+183+183+175+174+173}{10}\\\\=\frac{1978}{10}\\\\=197.8

Average Height of tallest Building in Los Angeles

                    =\frac{310+262+229+228+224+221+220+219+213+213}{10}\\\\=\frac{2339}{10}\\\\=233.9

→→Difference between Height of tallest Building in Los Angeles and  Height of tallest Building in San Francisco

               =233.9-197.8

               =36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

 |260-197.8|=62.2

 |237-197.8|=39.2

 |212-197.8|=14.2

 |197 -197.8|= 0.8

 |184 -197.8|=13.8

 |183-197.8|=14.8

 |183-197.8|= 14.8

 |175-197.8|=22.8

 |174-197.8|=23.8

 |173 -197.8|=24.8

Average of these numbers

     =\frac{62.2+39.2+14.2+0.8+13.8+14.8+14.8+22.8+23.8+24.8}{10}\\\\=\frac{231.2}{10}\\\\=23.12

Mean absolute deviation=23.12

5 0
3 years ago
11. What is 25?<br> a. 10<br> b. 15<br> c. 32<br> d. 16
ikadub [295]

Answer:

for what source

Step-by-step explanation:

8 0
3 years ago
Gina is making $20 an hour. She receives a 10% raise. If gina works 40 hours a week, how much more money will she make each week
Elden [556K]

Answer:

880

Step-by-step explanation:

20 x 10% = 2

20 + 2 = 22

22 x 40 = 880

6 0
2 years ago
Simplify completely****​
andreyandreev [35.5K]

Answer:

\displaystyle \frac{x + 7}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 + 12x + 35}{3x + 15}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                          \displaystyle \frac{(x + 5)(x + 7)}{3x + 15}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{x + 7}{3}
4 0
3 years ago
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