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Nadusha1986 [10]
3 years ago
13

Which exponential equation is equivalent to the logarithmic equation below?

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0
<h3>Answer: Choice A) e^c = 4</h3>

=====================================

In general if we had something like x = ln(y), then it is equivalent to e^x = y or y = e^x. The Ln is a natural log that is the inverse of the base e exponent. It's a special kind of log.

In this case, x = c and y = 4

So we go from c = ln(4) to e^c = 4

note: Logs are often used to solve for equations with variables in the exponent.

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The submarine is 217 feet below sea level. Identify the integer that represent the opposite of its location and its absolute val
igomit [66]

Answer:

217 ft

Step-by-step explanation:

Sea level is 0 height.

217 ft below sea level is -217 ft.

The opposite of -217 ft is 217 ft.

|-217 ft| = 217 ft

3 0
2 years ago
The half life of uranium-232 is 68.9 years. (show step by step)
dalvyx [7]

Answer:

1.) 8.09g ; 2) 206.7 years

Step-by-step explanation:

Given the following :

Half-life(t1/2) of Uranium-232 = 68.9 years

a) If you have a 100 gram sample, how much would be left after 250 years?

Initial quantity (No) = 100g

Time elapsed (t) = 250 years

Find the quantity of substance remaining (N(t))

Recall :

N(t) = No(0.5)^(t/t1/2)

N(250) = 100(0.5)^(250/68.9)

N(250) = 100(0.5)^3.6284470

N(250) = 100 × 0.0808590

= 8.0859045

= 8.09g

2) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?

Using the relation :

N / No = (1/2)^n

Where N = Amount of remaining or left

No = Original quantity

n = number of half-lifes

N = 12.5g ; No = 100g

12.5 / 100 = (1/2)^n

0.125 = (1/2)^n

Converting 0.125 to fraction

(1/8) = 1/2^n

8 = 2^n

2^3 = 2^n

n = 3

Recall ;

Number of half life's (n) = t / t1/2

t = time elapsed ; t1/2 = half life

3 = t / 68.9

t = 3 × 68.9

t = 206.7 years

7 0
3 years ago
the Garden Club plants rows of carrots in the garden one seed packet weight 28 grams, round the total weight of two seed packets
nordsb [41]
The question is first asking us to multiply 28x2, which equals 56. We're going to then round 56 to the nearest ten. The six is greater than five, so we round up,many we're going to round up to 60. So, 60 is your answer.
4 0
3 years ago
Read 2 more answers
Write the algebraic expression that matches each graph.
goldfiish [28.3K]

Answer:

f(x) = |x - 2| - 2

Step-by-step explanation:

Based on the shape of the graph, it's an absolute value function.

so the template for it is f(x) = |x|

From there, you can make some additions to show how much the graph has shifted from the template equation

since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:

f(x) = |x - 2| - 2

4 0
2 years ago
Polynomials <br>change of subject formulas​
SOVA2 [1]
Example:
To make ‘u’ the subject of the formula in

V = u + at

*subtract ‘at’ to both sides*
V -at = u + at - at

Result:
V - at = u

So the answer would be

u = V - at
8 0
4 years ago
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