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hoa [83]
3 years ago
5

Rewrite the fraction in simplest form. 14/30

Mathematics
2 answers:
Natali [406]3 years ago
5 0
Find the greatest common factor. That is 2. 
Divide both numbers by 2.
14 ÷ 2 = 7
30 ÷ 2 = 15

Your answer is 7/15
chubhunter [2.5K]3 years ago
4 0
The answer is 7/15. The way to get that answer is to divide the numerator and the denominator by 2. Hope that helps!
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3 years ago
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Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​
swat32

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

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2 years ago
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Find the length of the third side. If necessary, write in simplest radical form.
pychu [463]

Answer: 84 is your answer hope this helped

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Step-by-step explanation:

6 0
3 years ago
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Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg
n200080 [17]

\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k

is conservative if there is a scalar function f(x,y,z) such that \nabla f=\vec F. This would require

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

f(x,y,z)=xy+g(y,z)

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

f(x,y,z)=xy+h(z)

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C

f(x,y,z)=xy+3z+C

so \vec F is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r

=f(5,7,-2)-f(1,2,3)=\boxed{18}

8 0
3 years ago
One pipe fills a barrel in 1 hour while another pipe can fill the same barrel in 2 hours. How many minutes will it take to fill
givi [52]

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Let pi be pipe 1 and pi2 be pipe 2

pi = 1 / 1

pi2 = 1 / 2

together = 1/1 + 1/2 ;

3/2 time ; 2/3 hour.

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.

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7 0
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