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Sloan [31]
3 years ago
6

Nikita calculated the volume of the right triangular prism. Her work is shown below. A triangular prism. The triangular base has

a base of 8 centimeters and height of 13 centimeters. The height of the prism is 7 centimeters. Nikita’s Work: Area of base = B = one-half b h = one-half (7) (8) = 28 centimeters squared. Volume = B h = (28) (13) = 364 centimeters cubed. Where, if any, did Nikita first make a mistake in her work? Nikita used the wrong formula for the area of the base. Nikita used the wrong measurements when finding the area of the base. Nikita used the wrong formula for the volume of the prism. Nikita did not make a mistake.
Mathematics
2 answers:
valkas [14]3 years ago
7 0

Answer:

nikita did not make a mistake

Step-by-step explanation:

rjkz [21]3 years ago
3 0

Answer:

Nikita did not, make a mistake

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How do i solve (3c^2d^4) ^3 x (2c^5d^8)^3?
vredina [299]

Answer:

216c^{21}d^{36}

Step-by-step explanation:

(3c^2d^4)^3 * (2x^5d^8)^3

(3c^2)^3 (d^4)^3 * (2c^5)^3 (d^8)^3

27c^6 d^{12} * 8c^{15} d^{24}

216c^{21}d^{36}

Hope this helps!

7 0
2 years ago
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
Item 12
Akimi4 [234]

y -3x =1

add 3x to each side

y = 3x+1

The coefficient for x is 3 and the constant is 1

3 0
3 years ago
Simplify if possible
Anarel [89]
The answer is the last choice 2 1/2
8 0
3 years ago
Read 2 more answers
Find the 23rd term of this sequence -25,-15,-5,5....
notsponge [240]

Answer:

195

Step-by-step explanation:

To find the 23rd term of this sequence, we can use the arithmetic sequence formula a_{n} =a_{1} +(n-1)d where,

a_{n} = n^{th} term

a_{1} = first term

n = term position

d = common difference

a_{23}=-25+(23-1)10

a_{23} =195

8 0
3 years ago
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