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4 years ago

Multiply or divide as indicated. 5a 2 • 6a 4

Mathematics

1 answer:

alexandr1967 [171]4 years ago

7 0

5*a^2*6*a^4
30*a
30a^6

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What’s the speed limit in mph for a speed limit of 75 kph

irga5000 [103]

Answer:

46.6 mph

Step-by-step explanation:

1 Kph is .6213 mph

6 0

3 years ago

Solve the equation on the interval [0,2π]

WARRIOR [948]

$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------$

$\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0$

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

$\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}$

$\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}$

3 0

4 years ago

I posted one question at parts pls help me answer it!!!!!

Fantom [35]

Answer:

i'll try my best to help !!

5 0

3 years ago

Read 2 more answers

PLEASE HELP

stiv31 [10]

Answer:

I think it would be 34 because I divided 68.2 by 4 and got 17.05, so I multiplied that by 2, and it's closest to 34.

<em>So I think it's A.</em>

But y'all don't be mad if I'm wrong cuz I said I think.

5 0

3 years ago

The table shows the temperature of ocean water in degrees Celsius at different depths in meters: Depth (meters) 0 500 1,000 1,50

NARA [144]

You can use the fact that the corresponding values from both the columns are taken into ordered pair (x,y) form to plot them on the 2d graphs (for 2 data values' set)

The scatter plot best representing the data in the table is given by

Option D: Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

<h3>How are ordered pairs formed for plotting 2d data?</h3>

There are two axis in the graph. Horizontal axis and vertical axis. The independent variable is plotted on horizontal axis and dependent variable's values are plotted on vertical axis.

Since the temperature is measured on each value of depth, thus, depth is independent and temperature is depending on the depth.

The data points are ordered as

(independent variables' value, dependent variables' value at that value of independent variable)

Thus, for the given table, we will have:

(0, 23.5), (500, 12), ... points.(it is denoting like what was the value of second variable when first variable was this. Like when depth was 0, temperature was 23.5 degrees Celsius, and so on).

Thus,

The scatter plot best representing the data in the table is given by

Option D: Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

Learn more about scatter plot here:

brainly.com/question/10578193

3 0

2 years ago