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3 years ago

Find the volume of this figure in cubic centimeters.

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

Answer:

7,680

Step-by-step explanation:

6 x 4 x 4 x 4 x 5 x 12 = 23040

23040/3 = 7,680

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The equation with one change and no solutions: 8x + 6 =

Lisa [10]

The answer is 2 ........

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3 years ago

Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?

denis-greek [22]

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

8 0

2 years ago

Plss help this is due tomorrow !! :((

VladimirAG [237]

Answer:

A y= -3/4+6

Step-by-step explanation

I hope this helps good luck

I'm 100% sure

Good luck god bless you pass have a nice day

3 0

2 years ago

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<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

#SPJ1

5 0

1 year ago

Ms. Castille is about 6 feet tall. At 3:00 p.m. her shadow is 8 feet long and the tree’s shadow 20 is feet long.

zloy xaker [14]

Answer:

Step-by-step explanation:

8/6 = 1.33...

20/1.33... = about 15 ft

6 0

3 years ago

Read 2 more answers