Latrice is running a race in her neighborhood.

1 answer:

5 0

The unit rates that would be most appropriate wold be : m/s

Speed is calculated by : distance/time

Distance measured in meters while time measured in second

So, m/s will be the most appropriate measurement

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What fractions are in between -1/3 any -2/3

UNO [17]

To find a fraction between two fractions, all we need to do is make the sum of the numerators be the new numerator, and the sum of the denominators be the new denominator.(x) So, for example, a fraction between 7/13 and 6/11 is (7 + 6)/(13+ 11) =13/24.(x)

7/13 = .5384615(x)

6/11 = .545454(x)

13/24 = .541666�

Given that a/b < c/d, why is it true that a/b < (a+c)/(b+d)< c/d?

6 0

2 years ago

What are all the exact solutions of -3tan^2(x)+1=0? Give your answer in radians.

goldenfox [79]

$\displaystyle\\
 -3\tan^2x + 1 = 0\\\\
 -3\tan^2x = -1\\\\
\tan^2x = \frac{-1}{-3} \\\\
\tan^2x = \frac{1}{3} ~~~~~ \Big|~\sqrt{~~~} \\\\
\sqrt{\tan^2x} = \sqrt{\frac{1}{3}} \\\\
\tan x = \Big| \frac{1}{ \sqrt{3} } \Big|\\\\
\tan x = \Big| \frac{\sqrt{3}}{ 3 } \Big|\\\\
\tan x = \frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_1= \frac{\pi}{6} + k\pi,~~k \in N \\\\ 
\tan x = -\frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_2= \pi-\frac{\pi}{6} + k\pi = \frac{5\pi}{6} + k\pi,~~k \in N \\\\ 
$

4 0

3 years ago

Read 2 more answers

The graph of f(x) is shown. Estimate f(–3).

Aneli [31]

You have to look for -3 on the x axis, and then proceed vertically (in this case upwards) until you meet the graph.

We land about 1/2 square above the 12 mark on the y axis. Since one square is 1/2 unit, a half square would be 1/4 unit.

So, we can estimate $f(-3)\approx 12.25$