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DENIUS [597]
3 years ago
15

Consider the equation 4•e^2.7x = 33

Mathematics
1 answer:
Yanka [14]3 years ago
7 0

Answer:

\huge x =  ln( \frac{33}{4} )  \times  \frac{ 10}{27} \\  \huge \: x  \approx 0.782

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • logarithm
  • PEMDAS
<h3>let's solve:</h3>

4 {e}^{2.7x}  = 33 \\ {e}^{2.7x} =  \frac{33}{4}  \\ 2.7x =  ln( \frac{33}{4} )  \\ x =  ln( \frac{33}{4} )  \times  \frac{ 10}{27} \\ x  \approx 0.782

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Ymorist [56]

rotation is correct !

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3 years ago
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Apply the distribution
kicyunya [14]

Answer:

20(3m-2)

Step-by-step explanation:

In order to factor, you have to look for the greatest common factor, or what the biggest number could the two numbers be divided by.

In this case, both numbers can be divided by 20, and so we put the 20 outside of the parentheses.

This leaves with 3m and -2, which are left inside the parentheses.


Hope this helps :)


8 0
3 years ago
A recipe used 2/3 cup of sugar for every 2 teaspoons of butter. How much sugar was used per teaspoon of butter
myrzilka [38]

Answer:

2/3cups 2 teaspoons

(2/3 )cups/2teaspoons =1/3 cups per teaspoon

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8 0
3 years ago
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What is the greatest common factor of 32 and 48
Bond [772]
Turn each number into the product of it's prime factors.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.
4 0
3 years ago
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Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Lelechka [254]

Answer:

y = - \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - \frac{1}{3} x + 8 ← equation of perpendicular line

6 0
3 years ago
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