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krek1111 [17]
2 years ago
11

The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temper

ature during this time?
Mathematics
2 answers:
frutty [35]2 years ago
7 0

Answer:

3.5°/hour

Step-by-step explanation:

Rate of change of temperature=change in temperature/Change in time

Change in temperature

=82° - 54°

=28°

Change in time=3:00pm - 7:00am

=8:00 hours

Rate of change of temperature=28°/8 hours

=3.5°/hour

zaharov [31]2 years ago
7 0

Answer:

The rate of temperature change is 3.5 degree celcius per hour

Step-by-step explanation:

Here, we want to calculate the rate of change of temperature

Firstly, we calculate the number of hours it took the temperature to change

that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours

now let’s calculate the temperature rise = 82-54 = 28

The rate of temperature change is thus = change in temperature/ number of hours taken

= 28/8 = 3.5 degree celcius per hour

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Cual es la simplificacion de 66/81
Karo-lina-s [1.5K]

Answer:

Hence the simplification of \dfrac{66}{81} is \dfrac{22}{27}

Step-by-step explanation:

<em>" Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter), </em>

<em>for example</em><em>: Simplification of a fraction to an irreducible fraction ". </em>

Here we are given a fraction as:

\dfrac{66}{81}

As both the numerator and denominator are divisible by a factor of 3 hence we take out the common factor and obtain the reduced fraction which is further irreducible.

As 66=3×22  and 81=3×27

Hence \dfrac{66}{81}=\dfrac{3\times22}{3\times27}=\dfrac{22}{27}

Hence the simplification of \dfrac{66}{81} is \dfrac{22}{27}

8 0
2 years ago
Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi
LuckyWell [14K]

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368

d) The probability that X is between 2 and 5 (P(2<X<5))

P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2

4 0
2 years ago
A geometric seqerence 1.5, -3, 6, -12 .... How many regative terms in the sequencs greater than
Leno4ka [110]

The total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A geometric sequence 1.5, -3, 6, -12 ....

The common ratio r = -3/1.5 = -2

1.5, -3.6, 6, -12, 36, -108, 324, -972, 2916, -8748

The total negative terms = 4

Thus, the total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

Learn more about the sequence here:

brainly.com/question/21961097

#SPj1

4 0
2 years ago
EXPLAIN
zvonat [6]

Answer:

50,000? This is my answer sorry if wrong

Step-by-step explanation:

4 0
2 years ago
Can you help me please
Setler [38]
I think this question is a part of another question; you can have any ratio that can add up to 114 cm.
5 0
3 years ago
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