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natka813 [3]
3 years ago
12

Solving Exponential Equations (lacking a common base)(0.52)^q=4

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0

Answer:

q = log4 / log0.53

q = -2.189

Step-by-step explanation:

(0.53)^q = 4

Taking log of both sides!

q log 0.53 = log 4

q = log 4 / log 0.53

q = 0.602 / -0.275

q = - 2.189

This can be checked to confirm correctness.

Substituting q = -2.189

(0.53)^ -2.189 = 1/ 0.249

= 4.01 Proved!

(Note that the "1" is because of the negative sign)

d1i1m1o1n [39]3 years ago
3 0

Answer:

q = -2.12

Step-by-step explanation:

lg both sides

lg(0.52^q) = lg4

qlg0.52 = lg4

q = lg4/lg0.52

q = -2.12

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Which rational number does not have a reciprocal
Dmitriy789 [7]

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

8 0
3 years ago
Someone help and please make sure the answer is right
lord [1]

Answer:

it's 12

Step-by-step explanation:

5(12) =60

60+17=77

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3 years ago
2x + 5y = 3<br> Plz helpppp
soldi70 [24.7K]
Is this what you’re looking for
y=-2/5x+3/5
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2 years ago
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Thirty 5 points for this answer. no links.<br> 4(a-2) = 2(a-4) + 2a
Anarel [89]

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

    0             =    0

5 0
3 years ago
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B. Why does using FOIL on polynomial expressions match so closely to integer
Anastasy [175]
FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.

For instance, if we multiply the two expressions
(x + 1) (x + 2)
then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].

Now, compare this to multiplying a pair of two-digit integers:
37 × 43
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3)
= 1200 + 90 + 280 + 21
= 1591

The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.
7 0
3 years ago
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