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3 years ago

14

Edgar increased the amount of protein he eats every day from 36 g to 44g. By what percentage did Edgar increase the amount of pr

otein he eats?

1 answer:

kkurt [141]3 years ago

6 0

Edgar increases his amount of protein consumption by 133%

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Inverse of f(x) = 3 + 2 In x?

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This is the inverse of f(x)= -3 - (-2)

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4 years ago

May somebody help me with this question? It is in the picture.

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suter [353]

Answer:

$1.21

Step-by-step explanation:

Start by finding the total amount spent on shirts. Do this by multiplying $3.65 and 4 together. You will get 14.6. So, he spent $14.60 on 4 shirts. Take this amount and subtract it from the total amount paid for shirts and socks. $23.07 minus $14.60. This will give you $8.47 left to spent on socks. $8.47 divided by 7 is $1.21. Therfore, James paid $1.21 per pair of socks.

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3 years ago

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

WARRIOR [948]

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

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

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

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3 years ago

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the

Levart [38]

Answer:

Subtracting 7

Step-by-step explanation:

<u><em>Given:</em></u>

<em>Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. </em>

<u><em>To Find:</em></u>

<em>What kind of sequence is this?</em>

<u><em>Solve:</em></u>

<em>Let's make a table:</em>

<em />

<em>[1 stack] 45 </em>

<em>[2 stack] 38</em>

<em>[3 stack] 31</em>

<em>[4 stack] 24</em>

<em />

<em>Now all we have to do is subtract to see what each is:</em>

<em>45 - 38 = 7</em>

<em>38 - 31 = 7</em>

<em>31 - 24 = 7</em>

<em>Thus,</em>

<em>[1 stack] 45 ⇒ 7</em>

<em>[2 stack] 38 ⇒ 7 </em>

<em>[3 stack] 31 ⇒ 7 </em>

<em>[4 stack] 24 ⇒ 7 </em>

<em>Hence, each stack is going down by 7.</em>

<em />

<u><em>Kavinsky</em></u>

<em />

7 0

2 years ago