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miss Akunina [59]
3 years ago
8

Rewrite the following equation in logarithmic form.

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

log2(0.25) = -2

512 = 8^3

Step-by-step explanation:

  • <em>Use of formula: </em><em>loga (b) = c ⇔ b = a^c</em>

Rewrite the following equation in logarithmic form.   0.25 = 2^-2

  • log2(0.25) = -2

Rewrite the following equation in exponential form.  log8 (512) = 3

  • 512 = 8^3
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What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?
dimaraw [331]

Answer:

y - 1 = - 4(x + 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 3, 1), hence

y - 1 = - 4(x - (- 3)), thus

y - 1 = - 4(x + 3) ← in point- slope form

8 0
3 years ago
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What is 25 percent of thirty?<br> Give Step by step explanation.<br> please.
ohaa [14]
25% of 30 = 7.5
Hope this helps idk if it does tho
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3 years ago
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frank has two same size rectangles divided into the same number of equal parts. one rectangle has 3/4 of the parts shaded, and t
lidiya [134]
This question basically asks for the LCM of 3 and 5, which is 3 x 5 =15
This is the answer: 15
Check : The first rectangle had 1/3 shaded; ( one in every three parts)
So for 15 parts  altogether, 5 would be shaded ( 1/3 = 5/15)
The second rectangle had 2/5 shaded ( two for every five parts)
So for 15 parts altogether, 6 would be shaded (2/5 = 6/15)
6 0
3 years ago
Evaluate ab - c. If a = 5, b = 3, and c = 4
irina1246 [14]
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5 0
2 years ago
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write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please
faust18 [17]

Answer:

y = \frac{1}{5} x - 9

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope = \frac{rise}{run}.  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).

Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:

y = \frac{1}{5} x - 9

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

7 0
2 years ago
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