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leonid [27]
3 years ago
13

Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0
6 · e^(4x - 2) = 3
     e^(4x - 2) = .5
 ln e^(4x - 2) = ln (.5)
          4x - 2 = ln (.5)
               4x  = ln (.5) + 2
                 x  = (ln (.5) + 2)/4
                 x = 0.3267
                 x ≈ 0.327

Answer: B

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Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to
blsea [12.9K]
She will use 42 purple beads.

Explanation
We will use a proportion to solve this. 

The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads.  This gives us 56/x.

Together, we have
4/3 = 56/x

Cross multiply:
4*x = 3*56
4x = 168

Divide both sides by 4:
4x/4 = 168/4
x = 42
8 0
3 years ago
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Luba_88 [7]
So in this case, the solution is where the graphs intersect. Put the equations in y-intercept form.
-4x+y=-6
y=4x-6

8x-2y=14
-2y=14-8x
y=4x-7

These lines have the same slope, which is 4. Therefore, they are parallel. Parallel lines never intersect, so there is NO SOLUTION.
7 0
3 years ago
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Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =
kykrilka [37]

Answer:

P(x)=(x-2i)(x-3i)

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

P(x)=a(x-x1)(x-x2)...(x-xn)

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

P(x)=1(x-2i)(x-3i)

\mathbf{P(x)=(x-2i)(x-3i)}

8 0
3 years ago
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steposvetlana [31]

Answer:

y-6 = -7x + 21

Step-by-step explanation:

Find the slope

(-8 - 6)/(5-3)

-14/2 = -7

Now find the formula

y-6=-7(x - 3)

y-6 = -7x + 21

Another way to write it is

y= -7x + 27

6 0
3 years ago
A cube has edge length 3 in. What is its volume in inches cubed?
Nadusha1986 [10]

Answer:

Volume = 33 = 27 inches^{3}

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3 years ago
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