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igomit [66]
3 years ago
14

Please answer both questions

Mathematics
2 answers:
tatuchka [14]3 years ago
6 0
A & C if I’m wrong I’m sorry
BaLLatris [955]3 years ago
5 0

Answer:

1)A

2) C

hope this helps you!

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Justice lived in Germany and Hollands for a total of 24 months in order to learn German. He learned and average of 120 words per
lesantik [10]

Answer:

Justice lived in Germany for 15 months and he lived in Holland for 9 months.

Step-by-step explanation:

1. You must make a system of equations:

\left \{ {{x+y=24} \atop {120x+220y=3780}} \right.

Where x is the number on months he lived in Germany and y is the number on months he lived in Holland.

2. You can solve this system of equations by using the Elimination Method. If you multiply the first equation by -120, you can cancel the variable x when you add both equations, and then you can calculate y. When you obtain the value of y, you can substitute it into one of the original equations and solve for x. Then:

 \left \{ {{-120x-120=-2880} \atop {120x+220y=3780}} \right.

100y=900\\y=9

x+y=24\\x+9=24\\x=15

7 0
3 years ago
The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
MariettaO [177]
The given equation for the relationship between a planet's orbital period, T and the planet's mean distance from the sun, A is T^2 = A^3. Let the orbital period of planet X be T(X) and that of planet Y = T(Y) and let the mean distance of planet X from the sun be A(X) and that of planet Y = A(Y), then A(Y) = 2A(X) [T(Y)]^2 = [A(Y)]^3 = [2A(X)]^3 But [T(X)]^2 = [A(X)]^3 Thus [T(Y)]^2 = 2^3[T(X)]^2 [T(Y)]^2 / [T(X)]^2 = 2^3 T(Y) / T(X) = 2^3/2 Therefore, the orbital period increased by a factor of 2^3/2 <span>
</span>
6 0
3 years ago
Read 2 more answers
the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​
sergij07 [2.7K]
-7 or 8 is the answer
6 0
3 years ago
Who can help me d e f thanks​
12345 [234]

d)

y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}

Product rule:

y' = \bigg((2ax^2+c)^2\bigg)' (bx^2-cx)^{-1} + (2ax^2+c)^2 \bigg((bx^2-cx)^{-1}\bigg)'

Chain and power rules:

y' = 2(2ax^2+c)\bigg(2ax^2+c\bigg)' (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} \bigg(bx^2-cx\bigg)'

Power rule:

y' = 2(2ax^2+c)(4ax) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} (2bx - c)

Now simplify.

y' = \dfrac{8ax (2ax^2+c)}{bx^2 - cx} - \dfrac{(2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}

y' = \dfrac{8ax (2ax^2+c) (bx^2 - cx) - (2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}

e)

y = \dfrac{3bx + ac}{\sqrt{ax}}

Quotient rule:

y' = \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{\left(\sqrt{ax}\right)^2}

y'= \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{ax}

Power rule:

y' = \dfrac{3b \sqrt{ax} - (3bx+ac) \left(-\frac12 \sqrt a \, x^{-1/2}\right)}{ax}

Now simplify.

y' = \dfrac{3b \sqrt a \, x^{1/2} + \frac{\sqrt a}2 (3bx+ac) x^{-1/2}}{ax}

y' = \dfrac{6bx + 3bx+ac}{2\sqrt a\, x^{3/2}}

y' = \dfrac{9bx+ac}{2\sqrt a\, x^{3/2}}

f)

y = \sin^2(ax+b)

Chain rule:

y' = 2 \sin(ax+b) \bigg(\sin(ax+b)\bigg)'

y' = 2 \sin(ax+b) \cos(ax+b) \bigg(ax+b\bigg)'

y' = 2a \sin(ax+b) \cos(ax+b)

We can further simplify this to

y' = a \sin(2(ax+b))

using the double angle identity for sine.

7 0
2 years ago
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Seth did. Seth scores 3/12 times and Zak scores 2/10 times. If you find a common denominator like 120, Zak scores 30/120 shots and Zak scores 24/120 shots. As a result Seth scores a greater fraction of shots.
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3 years ago
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