Which exponential equation is equivalent to this logarithmic equation?

Mathematics

1 answer:

salantis [7]2 years ago

6 0

Answer:

the answer is A

Step-by-step explanation:

$log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60$

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David's heart beats 75 beats per minute.

GuDViN [60]

A.) 75 x 60 = 4500 in an hour
4500 x 24 = 108000 in a day
108000 x 365 = 39420000 in a year
39420000 x 45 = 1,773,900,000 in 45 years
B.)2200800 / 75 = 29344 mins
29344 / 60 = 489.066666667 hours
489.066666667 / 24 = 20.37777778
you get it

6 0

2 years ago

Calculate the average rate of change over the intervals [0, 20] and [60, 80]. What does the average rate on these intervals tell

Assoli18 [71]

$\frac{20 - 80}{0 - 60 } = slope \: or the \: rate \: of \: \\ change \: \\ \\ \frac{ - 60}{ - 60} = 1$
It tells you that over these intervals the balloon is going at a constant speed.

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3 years ago

Two perpendicular lines intersect at the origin. If the slope of the first line is -1/2, what is the equation of the second line

Dovator [93]

bearing in mind that perpendicular lines have negative reciprocal slopes.

now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{2}{1}\implies 2}}$

so, we're really looking for the equation of a line whose slope is 2, and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=2(x-0)\implies y=2x$