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3 years ago

What is the eighth term of the sequence that begins with 1, 3, 7, 13, 21, ... ?

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

31 because it is adding 2 to each number

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Which set of data contains two outliers?

Alisiya [41]

Answer:

101, 135, 131, 99, 138, 136, 140

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3 years ago

Can someone help me please

Nesterboy [21]

1. The triangle is Isosceles and acute A (since there are two equal sides and the angles are less than 90)
2. Right triangle E (since there is a right angle)
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4. Right isosceles O
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3 years ago

In how many ways can 15 basketball players be listed in a program?

Viktor [21]

The answer is 15 !

Explanation:
You have 15 slots, each of which will hold one of the names of the players. You need to fill the first slot with some name.

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4 years ago

Read 2 more answers

The fair spinner shown in the diagram above is spun work out the probability of getting a factor of 8

sashaice [31]

Answer:1/8

Step-by-step explanation:cuz

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3 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

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4 years ago