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Fred can complete a job in 12 hrs. If he and juan work together, they can complete the same job in 8 hrs. How long will it take for juan to complete the job himself?

Finley Mcintosh 2022-08-28

The San Paolo community swimming pool can be filled in 12 hours if water enters through a pipe alone or in 30 hours if water enters through a hose alone. If water is entering through both the pipe and hose,how long will it take to fill the pool?

Grilletta1m 2022-08-28

Suppose that y varies inversely with the square root of x and y=50 when x=4, how do you find y when x=5?

Fortura7i 2022-08-28

Is y= -4x is an example of inverse variation?

Hudson Bullock 2022-08-28

Solve the equation.
$- 4 a + 6 + 5 a = 12 - 20$

suffisantfn 2022-08-26

What is the standard form of the number shown in the calculator display?. $3.82 e + 7.$

phoreeldoefk 2022-08-26

Find the inverse of the function
Find the inverse of the function $f (x) = - 2 \cdot 4^{2 (x - 3)} - 1$

Horlando Montiel Antonio [STUDENT]2022-08-25

m=- 3/4, b=2

suffisantfn 2022-08-25

Trying to solve equation, used Quick math but don't know how it got the solution. Please help !!
$28207 = (76762 - x^{2}) + (x - 76831)^{2}$

kaidance grubbs richard2022-08-24

Beatriz3425tt 2022-08-23

25,5,1
25,19,13
4,9,16
50,60,70
,3,18

djedgaravilafo 2022-08-22

Prove that $\ln x \leq x - 1$
I need help with this proof for my real analysis class. it is on the practice sheets and we do NOT get an answer. I proved $\ln (x) < x - 1$ for all $x > 1$ by contradiction but cannot do this one.
Prove that $\ln (x) \leq x - 1$ for all $x > 0$
i believe you need to use MVT, I cannot use the famous inequality $e^{x} > x + 1$ for all $x > 0$

onetreehillyg 2022-08-22

Trouble evaluating the sum involving logarithm
I was trying to solve this problem: Closed form for $\int_{0}^{1} \log \log (\frac{1}{x} + \sqrt{\frac{1}{x^{2}} - 1}) d x$
In the procedure I followed, I came across the following sum:
$\sum_{k = 1}^{\infty} (- 1)^{k - 1} k (\frac{\ln (2 k + 1)}{2 k + 1} - \frac{\ln (2 k - 1)}{2 k - 1})$
I cannot think of any approaches which would help me in evaluating the sum.
Any help is appreciated. Thanks!

Felix Fitzgerald 2022-08-22

Solve logarithmic equation: $2 \log_{7} (x + 2) - \log_{7} (3 x + 10) = 0$
Please, can someone check if this is the right answer
$x = - 2 \pm \sqrt{3 x + 10}$
Thank you.

streutexw 2022-08-21

Help me to solve math homework on logarithmic
How to solve this math home work? Please help..
What is the value of $\log (\frac{i π}{2})$ ?
I got to know the answer is " $\frac{i π}{2}$ ", but don't know how to solve it. Please help me.
Thanks a lot in advance.

tizamazg 2022-08-21

How to calculate arithmetic mean of log values
I am working with really small values of probabilities and that is why their log values are used. So for example, let probA and probB be some normal values of probabilities of two events and because they are very small, I use log values of them, $l n (p r o b A)$ and $l n (p r o b B)$
I would like to compute arithmetic mean of this two values to compare them with other such pairs. Because they are very small, it is not a good idea to compute arithmetic mean like
$\frac{e^{l n (p r o b A)} + e^{l n (p r o b B)}}{2}$
Would it be mathematically correct only to compute arithemtic mean of the log values? Or is there any other better way to do it?

Fortura7i 2022-08-21

Show $(\ln (x^{2}))^{2} - (\ln x)^{2} = 3 (\ln x)^{2}$
I read an example on integrals.
I can't see how
$(\ln (x^{2}))^{2} - (\ln x)^{2} = 3 (\ln x)^{2} .$

Braeden Valenzuela 2022-08-21

Find the largest possible root of a number that is whole
Using 8 as an example radicand, the degree would be 3 because ∜8 is not a whole number, while √8 is not the largest possible whole root. This type of problem is easy to calculate mentally with small numbers, but for large numbers it gets tricky. Is there a way to calculate it without iterating through degrees until the right one is found? It seems the answers may involve logarithms.
Thanks in advance.

bravere4g 2022-08-20

Solve the equation.
-6a - 4 = -7a +11

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