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3 years ago

Which ratio is equal to 27 : 81?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

Answer:

3:9 u can reduce it again to 1:3

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Solve the following logarithmic equations.<br> ln(32x^2) − 3 ln(2) = 3

Kazeer [188]

Answer:

$x=\pm \frac{\sqrt{e^{3} } }{2}$

Step-by-step explanation:

Rewrite the equation using the next propierties:

$log(\frac{1}{x} )=-log(x)$

$ylog(x)=log(x^{y} )$

$log(x*y)=log(x)+log(y)$

$ln(32x^{2} )-ln(2^{3})=3\\ ln(32x^{2} )+ln(\frac{1}{2^{3} } )=3\\ln(\frac{32x^{2} }{8})=3\\ ln(4x^{2} )=3$

Cancel logarithms by taking exp of both sides:

$e^{ln(4x^{2}) } =e^{3} \\4x^{2} =e^{3}$

Divide both sides by 4:

$x^{2} =\frac{e^{3} }{4}$

Take the square root of both sides:

$x=\pm \sqrt{\frac{e^{3} }{4} } =\pm \frac{\sqrt{e^{3} } }{2}$

6 0

3 years ago

Erica finds a block of cheese in her

cluponka [151]

Answer:

Step-by-step explanation:

126 g is what you originally had which=60% of whats left

you have to find out how many 10 wedges she can cut from the cheese that is left over

Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.

So 7 is the answer.

7 0

3 years ago

Generalize the pattern by finding a formula to calculate the nth term.

rosijanka [135]

It's an arithmetic sequence. The first term is 1 and the common difference is 4.

$a_1=1 \\
d=4 \\ \\
a_n=a_1+d(n-1) \\
a_n=1+4(n-1) \\
a_n=1+4n-4 \\
\boxed{a_n=4n-3} \\
\hbox{answer C}$

4 0

3 years ago

Help meh for brainlist

Elena L [17]

Answer:

A. 312

Step-by-step explanation:

For the rectangle center multiply 6*4=24

Area of a trapezoid: ((a+b)/2)h so with this we can determine that the area of one side is 40, since there are 2 sides the area would be 80 total

24+80=104

For 3 bows: 104*3=312

4 0

3 years ago

Which number is rational , an integer , and a real number ?

vladimir2022 [97]

I believe the answer is C.

5 0

3 years ago