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s344n2d4d5 [400]
3 years ago
8

The first term of an arithmetic progression is 80 and the common difference is -3. what is the greatest possible sum of the firs

t n terms of this sequence, and for which value of n does it occur?
I need help with this question, in advance thank you :)​
Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

S=157

Step-by-step explanation:

an= a1+(n-1)d

a2=80+(2-1)(-3)

a2=80-3

a2=77

Sn=(a1+an)*n/2

S2=(80+a2)*2/2

S2=(80+77)*1

S2=157

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When an amount of heat Q (in kcal) is added to a unit mass (kg) of a
lisov135 [29]

Answer:

The change in temperature per minute for the sample, dT/dt is 71.\overline {6} °C/min

Step-by-step explanation:

The given parameters of the question are;

The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)

The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min

Given that both dQ/dT and dQ/dt are known, we have;

\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)

\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)

Therefore, we get;

\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}

\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C }   = 71.\overline 6 \, ^{\circ } C/min

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

\dfrac{dT}{dt}  = 71.\overline 6 \, ^{\circ } C/min

8 0
2 years ago
Solve for x. <br><br> 6x + 2 = 14
oksian1 [2.3K]
6x + 2 - 2 = 14 - 2
6x/6 = 12/6
x = 2
8 0
3 years ago
How do I find the scale factor
iris [78.8K]
You write it as a ratio eg. SF(large→small)=20:7

4 0
3 years ago
Heelp me im struggling
olga nikolaevna [1]

Answer:

b. -30

Step-by-step explanation:

the reason why it is B is because the operation in front of the number that stands alone without being a constant number that increases (or decreases) like the number 2, it has an x next to it which means that the number 2 is going to increase at a constant rate.

<em>hope it helps:)</em>

6 0
3 years ago
I will give brainiest to whoever answers correctly !!
evablogger [386]

Answer:

markup=62 %

Step-by-step explanation:  

4 0
3 years ago
Read 2 more answers
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