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MA_775_DIABLO [31]
3 years ago
11

What is 45,987,159.9 in word form

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

forty-five million nine hundred eighty-seven thousand one hundred fifty-nine point nine

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Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m
ch4aika [34]

Answer:

\ln x+\frac{1}{3}\ln (x^2+1)

Step-by-step explanation:

Consider the given expression is

\ln (x\sqrt[3]{x^2+1})

We need to rewrite the expression as a sum,difference,or multiple of logarithms.

\ln (x(x^2+1)^{\frac{1}{3}})        [\because \sqrt[n]{x}=x^{\frac{1}{n}}]

Using the properties of logarithm we get

\ln x+\ln (x^2+1)^{\frac{1}{3}}         [\because \ln (ab)=\ln a+\ln b]

\ln x+\frac{1}{3}\ln (x^2+1)        [\because \ln (a^b)=b\ln a]

Therefore, the simplified form of the given expression is \ln x+\frac{1}{3}\ln (x^2+1).

6 0
3 years ago
Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1
777dan777 [17]
Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6
7 0
2 years ago
Find the length of the leg(s) of a right triangle, to the nearest hundredth, if both legs are equal and the hypotenuse is 10.
charle [14.2K]

Answer:

7.07 units

Step-by-step explanation:

Use the Pythagorean theorem for the right triangle:

\text{hypotenuse}^2=\text{leg}_1^2+\text{leg}_2^2,\\ \\c^2=a^2+b^2.

If a = x, b = x, and c = 10, then

10^2=x^2+x^2,\\ \\100=2x^2,\\ \\x^2=50,\\ \\x=\sqrt{50}=5\sqrt{2}\approx 7.07\ units.

7 0
3 years ago
Square ABCD is a dilation of square ABCD. What is the scale factor​
gulaghasi [49]

Answer:

\frac{1}{3}

Step-by-step explanation:

2 divided by 6 is \frac{1}{3}

To confirm it,

6 * \frac{1}{3} =2

6 0
3 years ago
Find the center and radius, then write the standard equation of this circle
kirza4 [7]

Center is at (0, 0) and make sure you label it on the diagram
Radius is 5 units
Equation of circle is
(X-0)^2 + (y-0)^2 = 5^2
X^2 + y^2 = 25
8 0
3 years ago
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