The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x + 26/10x
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken
Darpan runs a distance of 12 km and then cycles a distance of 26 km.
Total distance = 12 + 26 = 38km
The running speed is x km/h
A = x
The cycling speed is 10 km/h faster than his running speed
B = 10x
He takes a total time of 2 hours and 48 minutes.
So, the total time he takes
Time = Distance x speed
2.48 = 12/x + 26/10x
10x(2.48) = 120 + 26
24.8x = 146
x = 5.8
Learn more about speed here;
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Answer:
3 bars of soap and 2 toothbrushes.
Step-by-step explanation:
Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.
Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.
Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.
The final amount in the account after 25 years is $24670.42.
<h3>
How do you calculate the final Amount after 25 Years?</h3>
Given that 3400 dollars are placed in an account with an annual interest rate of 8.25% for 25 years.
The final amount in the account is calculated by the formula given below.
Where A is the final amount, P is the initial principal balance, R is the interest rate, T is the time period.
The final amount is given below.
Hence we can conclude that the final amount in the account after 25 years is $24670.42.
To know more about the compound interest, follow the link given below.
brainly.com/question/25857212.
Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:
ln (e^4x) = ln (120);
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Then continue:
4x ln e = ln 120
4x = ln 120 ; (since "ln e = 1")
then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
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4x / 4 = (ln 120) / 4 ;
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x = (ln 120) / 4 ;
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Using a calculator:
_________________________________________________________
x = (ln 120) / 4 = (4.78749174278) / 4 = 1.1968729357
Answer: x = 1.1968729357 ; or, round to: 1.2 .
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