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marishachu [46]

3 years ago

5

wind and weather patterns are caused when warm air near the surface of the earth rises to higher levels in the atmosphere the ai

r movement is called

1 answer:

wolverine [178]3 years ago

6 0

I believe that is convection

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If the third term in a geometric sequence is 20, and the fifth term in the sequence is 5, what is the ratio (multiplier)?

Talja [164]

Term:    3    4      5
Value 20    ..      5
          20 20r 20r^2
So 20r^2 = 5
         r^2 = 1/4
           r = 1/2

5 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

Emma buys 3 2/3 yards of blue fabric and some yellow yellow fabric at the store she buys a total of 5 1/3 yards of fabric the eq

UkoKoshka [18]

Answer:

yellow fabric 5/3 yards

Step-by-step explanation:

convert the mixed numbers into improper fractions:

3 2/3 = 11/3 5 1/3=16/3

16/3 - 11/3 = 5/3

3 0

3 years ago

Plz answer fast brainleist guaranteed

julia-pushkina [17]

Answer:

They feed different water sheds.

Step-by-step explanation:

(pls mark me brainliest if u can)

Have a great day!

3 0

3 years ago

Read 2 more answers

If f(x)=-x+2, find f(4)

lianna [129]

Answer:

$\boxed{-2}$

.

Step-by-step explanation:

$f(x) = -x + 2$

.

$f(4) = -4 + 2$

$f(4) = -2$

5 0

3 years ago