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2 years ago

For year y, the population of massachusetts was approximately what percent of the population of vermont?

Mathematics

1 answer:

kifflom [539]2 years ago

5 0

Answer: 50%

Step-by-step explanation: 50%

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I need c and d answered badly

Kisachek [45]

C. translated down 2 units

---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.

D. translated right 4 units

---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.

Hope this helps!

3 0

2 years ago

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

3 years ago

Meep says meep so what's the meep of the meep

Alex17521 [72]

Answer: ok so meep is gunna meep to the meep power of meep and 6 more meeps

Step-by-step explanation:

i got it right when i looked it up lol

6 0

3 years ago

tim spent 24 at the grocery store this was six dollars less than two timeswhat he spent at the game store how much did he spend

Svetlanka [38]

Money spent at grocery store = x, money spent at game store = y
x = 24
x = 2y - 6

24 = 2y - 6
24 + 6 = 2y
30 = 2y
30/2 = y
15 = y <=== spent 15 at game store

4 0

3 years ago

Can someone help me make an inequality? Problem: Eight less than a number X is at least 17

ioda

Set up an inequality:
x-8 $\geq$ 17
x $\geq$ 25

8 0

3 years ago