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sveta [45]
3 years ago
10

How can energy be used to solve a problem?

Mathematics
1 answer:
forsale [732]3 years ago
6 0
Energy can be used to solve a problem by using the nergy from your brain and the baility to think to solve the problem that is required to solve.
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Solve the initial value problem. dy/dt = 1 + 6/t , t > 0, y = 8 when t = 1
nordsb [41]
\displaystyle\frac{dy}{dt} = 1 + \frac{6}{t}\ \Rightarrow\ dy = \left( 1 + \frac{6}{t}\right) dt\ \Rightarrow\int 1\, dy = \int \left( 1 + \frac{6}{t}\right) dt \ \Rightarrow \\ \\
y = t + 6\ln|t| + C. \text{ But $t\ \textgreater \ 0$ so }y = t + 6\ln t + C. \\ \\ 
y(1) = 8\ \Rightarrow\ 8 = 1 + 6 \ln 1 + C \ \Rightarrow\ C = 7 \text{ so } \\ \\
y(t) = t + 6\ln t + 7
5 0
3 years ago
It is estimated that 4000 of the 10,000 voting residents of a town are against a new sales tax. If 15 eligible voters are select
Alenkasestr [34]

Answer:

The probability that at most 7 favor the new tax is 0.7869

Step-by-step explanation:

Total number of voting resident = 10000

number of voting resident against new sales tax = 4000

therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4

If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax

Using binomial,

number of selected voters(n) =15,

p=0.4

P(x<=0.7) = binomialcdf(15, 0.4, 7)

Using your calculator

P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869

3 0
3 years ago
If f(x)=3x-2 and g(x)= x^2+1, which expression is equivalent to f(g(x))
Serhud [2]
The answer would be:
3x^2+1
7 0
3 years ago
If JKL ~ MKN, find the value of x.
ella [17]

Answer: X=14

Step-by-step explanation:

7 0
3 years ago
The number +10 can be used to indicate a
Serhud [2]
The number + 10 can be used to indicate a  : 
10 degree rise in temperature.

Temperature can be measured in Kelvin , Celsius, and Fahrenheit. In all measurement, + number indicate a rise in the temperature
4 0
3 years ago
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