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bulgar [2K]
2 years ago
7

My teacher keeps saying it’s wrong pls help, it’s question number 5

Mathematics
1 answer:
Vinvika [58]2 years ago
3 0

9514 1404 393

Answer:

  A √2 is an irrational number

Step-by-step explanation:

A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)

B: √4 = 2 (rational)

C: ∛8 = 2 (rational)

D: √16 = 4 (rational)

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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
Jenna has $500 in her account and withdraws $50 every Sunday to pay for her account after n lessons,
Lostsunrise [7]

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

7 0
3 years ago
In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠PRQ ≅ ___ A. ∠SRT B. ∠RST C. ∠STR D. ∠T
Oduvanchick [21]

The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

<h3>Similar triangles </h3>

From the question, we are to complete the given statement

From the given information,

We have that ΔPQR ≅ ΔSTR

This means ΔPQR is congruent to ΔSTR

Then,

∠PQR ≅ ∠STR

∠PRQ ≅ ∠SRT

∠QPR ≅ ∠TSR  

Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

Learn more on Congruent Triangles here: brainly.com/question/28032367

#SPJ1

4 0
1 year ago
Deb ran 2 1/2 miles, and Christina ran 10/4 miles. Who ran farther.
Illusion [34]

Answer:

they both ran the same distance

Step-by-step explanation:

divide 10 by 4 that equals 2.5

2 and 1/2 equals 2.5

6 0
3 years ago
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12n + 25 = -2n + 55 <br><br> I’ll give brainliest
Mama L [17]

Answer:

n=\frac{15}{7}

Step-by-step explanation:

3 0
2 years ago
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