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Luda [366]
3 years ago
7

PLEASE HELPPPP ! 16^x=64^x+4

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

x = -12

Step-by-step explanation:

Set logs up on both sides-

log 16^x = log 64^x+4

The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-

x * log 16 = x + 4 * log 64

Divide both logs out-

log 64/log 16 = 1.5

Simplify-

x = x+4(1.5)

1.5x + 6 = x

Remove 1.5-

1 - 1.5 = -.5x

Simplify-

-.5x = 6

Divide both sides-

6/-.5x = -12

Hence, the answer would be -12

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Help my math please<br> Due date is in 3 hours
Bumek [7]

Answer:

see explanation

Step-by-step explanation:

(a)

To change a mixed number to an improper fraction

Multiply the whole number by the denominator of the fraction and add the numerator. This value is the numerator of the improper fraction while the denominator remains unchanged, that is

(2 × 13) + 12 = 26 + 12 = 38 ← numerator

2 \frac{12}{13} = \frac{38}{13}

(b)

To change an improper fraction to a mixed number

divide the numerator by the denominator, noting the remainder, which forms the numerator of the fraction in the mixed number.

\frac{47}{19} = 2 remainder 9, hence

\frac{47}{19} = 2 \frac{9}{19}



7 0
3 years ago
How do you get 40y from the difference of 2 squares with the problem (5y+4+3x)(5y+4-3x)? I understand distribution method. I don
otez555 [7]

Answer:

Step-by-step explanation:

(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )

by identity : (a+b)(a-b) = a² - b²

in this exercice ; a = 5y+4 and b  = 3x

3 0
3 years ago
3. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.
dlinn [17]
Part A: The probability is 1/6. This is because there are six options in total, and only one of those options is 6.

Part B: The probability is 6/6, or alternatively 100%. This is because that the probability of rolling a 6 is 1/6, and the probability of rolling any of the other options is 5/6. Adding them together gives a probability of 6/6.

Part C: The probability is 5/6. This is because there are six options, and of those, five of them are not 6.
3 0
3 years ago
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What is 3774 divided by 37
Strike441 [17]
102 thts the anwser ur welcome
6 0
3 years ago
3. NASA launched the Voyager spacecraft with a mission to observe Jupiter and Saturn. In 1990,
makkiz [27]

The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:

m = 33/10 = 3.3.

Hence:

y = 3.3x + b.

When x = 28, y = 123, hence we use it to find b as follows:

123 = 3.3(28) + b

b = 30.6.

Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
1 year ago
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