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meriva
2 years ago
8

Help!!! Huge milestone!! I will give crown!!! The value of y is directly proportional to the value of x. If y=8 when x=10, what

is the value of y when x=25?
Mathematics
1 answer:
PolarNik [594]2 years ago
6 0

Answer:30

Step-by-step explanation:the initial statement is

y ∝ x

to convert to an equation multiply by k the constant

of variation

⇒ y = k x

to find k use the given condition

y = − 24 when x = 8 y = k x ⇒ k = y x = −22

∣

∣

∣22 y = − 3 x 22

∣∣∣

−−−−−−−−−−−−−−

when  x = 10

then y = − 3 × 10 = −30

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Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt  \right] = f(x)

Where <em>a</em> is some constant.

We can let:
\displaystyle g(t) = (t-t^4)^6

By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\  & = (s-s^4)^6\end{aligned}

3 0
2 years ago
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazin
andrey2020 [161]
500 total magazines...

Amy sold 1/9......1/9(500) = 500/9 = 55.5
Garret sold 0.145.....0.145(500) = 72.5
Robbie sold 12/100.....0.12(500) = 60
Carlita sold 0.095.....0.095(500) = 47.5

Garret sold the most

or u could have done it this way...
Amy sold 1/9.....1/9 = 11.1%
Garret sold 0.145 = 14.5%
Robbie sold 12/100.....12/100 = 12%
Carlita sold 0.095....0.095 = 9.5%

u will still get the same answer...Garret

3 0
2 years ago
Read 2 more answers
Simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \f
Pie

Answer:

B (√6)/4

Step-by-step explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

\displaystyle\sqrt{\frac{3}{8}}=\sqrt{\frac{3\cdot 2}{8\cdot 2}}\\\\=\sqrt{\frac{6}{16}}=\frac{\sqrt{6}}{\sqrt{16}}\\\\=\frac{\sqrt{6}}{4}

_____

Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.

3 0
3 years ago
How do you multiply mixed numbers and then estimate them
Vadim26 [7]
You do 5 multiple by 2 + 2. 4 multiple by 3 + 3. 12 multiple by 15 is 180
5 0
2 years ago
Please help I have to turn this in by the end of the night
dedylja [7]

Answer:

3 subtracted from the product of 7 and a number b

3 subtracted= -3

product of 7 and a number b= 7b

put those together:

7b-3

hope this helps, also what grade is this

3 0
3 years ago
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