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Anna71 [15]
3 years ago
7

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

pression.See example 2.
- 8 + e^Inx^3
Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

x^3-8

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

- 8 + e^{lnx^3}

Inverse property of log says that

e^{ln(x)=x

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled

e^{ln(x^3)=x^3

- 8 + e^{lnx^3}

- 8 +x^3

x^3-8

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A rectangular prism with a volume of 3x^3+16x^2+5x cubic units has a base area of x^2+5xsquare units. Find the height of the rec
slava [35]

The height of the rectangular prism. given its volume and base area is (3x³ + 16x² + 5x) / (x² + 5x) units.

<h3>Volume of rectangular prism</h3>

  • Volume of the prism = 3x³ + 16x² + 5x cubic units

  • Base area = x² + 5x square units

Volume of a rectangular prism = Base area × height

Height = Volume of a rectangular prism ÷ Base area

3x³ + 16x² + 5x cubic units = (x² + 5x) square units × h

h = (3x³ + 16x² + 5x) cubic units ÷ (x² + 5x) square units

h = (3x³ + 16x² + 5x) / (x² + 5x) units

Learn more about volume of rectangular prism:

brainly.com/question/20259741

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4 0
2 years ago
Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.
Nadusha1986 [10]
Answer: 110pi

Solution: S = 2•pi•r•h + 2 pi•r^2 =2•6•5pi + 2•pi•25 = 60pi + 50pi = 110pi
3 0
2 years ago
The perimeter of a triangle is 25 feet.
shutvik [7]

25 = 5.2 + 8 + x

5.2 + 8 = 13.2

25 = 13.2 + x

25 - 13.2 = 11.8

11.8 = x

The unknown side is 11.8 ft.

3 0
4 years ago
5/6*2/3<br> 9/10*5/18<br> 4/5*3/4<br> 2/3*5/1
zalisa [80]

To multiply fractions, you multiply numerator with numerator and denominator with denominator

In other words: a/b*c/d=(a*c)/(b*d)

So 1st one is (5*2)/(6*3) which is 10/18 or 5/9 simplified

2nd one is (9*5)/(10*18) which is 45/180 or 1/4 simplified

3rd one is (4*3)/(5*4) which is 12/20 or 3/5 simplified

4th one is (2*5)/(3*1) which is 10/3 or 3 1/3 if you want a mixed number

Hope this helped!

5 0
4 years ago
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Find the lateral area of the pyramid to the nearest whole number.
diamong [38]

Answer:

its LSA is 4800m^2.

<em><u>hope</u></em><em><u> </u></em><em><u>helps</u></em><em><u> </u></em><em><u> </u></em><em><u>uh</u></em><em><u>.</u></em><em><u>.</u></em>

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