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3 years ago

Help Me plz anyone I don't know what to do

Mathematics

2 answers:

stealth61 [152]3 years ago

7 0

2 times 10 to the 5th power = 2 x 1,000,000 = 2,000,000 meters

4 times 10 to the 5th power = 4 x 1,000,000 = 4,000,000 meters

Answer: 4,000,000 + 2,000,000 = 6,000,000

Hope this helped!

Ugo [173]3 years ago

3 0

2*10^5= 200000

4*10^5= 400000

200000 + 400000= 600000

600000 in scientific notation is 6 × 10^5

Hope this helps.

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Use trigonometric substitution to evaluate the integral 13 + 12x − x2 dx . First, write the expression under the radical in an a

SCORPION-xisa [38]

I don't see a square root sign anywhere, so I'll assume the integral is

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx$

First complete the square:

$13+12x-x^2=49-(6-x)^2=7^2-(6-x)^2$

Now in the integral, substitute

$6-x=7\sin t\implies\mathrm dx=-7\cos t\,\mathrm dt$

so that

$t=\sin^{-1}\left(\dfrac{6-x}7\right)$

Under this change of variables, we have

$7^2-(6-x)^2=7^2-7^2\sin^2t=7^2(1-\sin^2t)=7^2\cos^2t$

so that

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(t) > 0, we can further reduce the integrand to

$|\cos t|\cos t=\cos^2t=\dfrac{1+\cos(2t)}2$

$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

$\dfrac12\sin(2t)}=\sin t\cos t$

Then

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \sin t=\dfrac{6-x}7$

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \cos t=\sqrt{7^2-(6-x)^2}=\sqrt{13+12x-x^2}$

So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

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3 years ago

Celine has a bottle that contains 20% of milk and the rest water. The bottle has 1 liter of water. Part A: Write an equation in

Alexxx [7]

Percentage of milk PM
Liters of milk LM
Liters of water W
Total number of liters TL
W/100*PM = LM
W+LM =TL

Proof
1 liter / 100 = 10 milliliters
10 ml * 20 = 200 milliliters
200 ml + 1000 ml = 1200 ml
1.2 liters is the total amount of liters.

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4 years ago

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If 10 pounds of potatos cost 6.55 how much would 1 pound cost

kap26 [50]

Divide ten by how much it cost 10/6.55=1.52

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3 years ago

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Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2

jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

$(y - y1) = m1(x - x1)$

Now, put all values.

$(y + 2) = m1(x - 2)$

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

$(y + 2) = \frac{ - 1}{5} (x - 2)$

Simplify them.

$5(y + 2) = - x + 2$

$5y + 10 = - x + 2$

$x + 5y + 8 = 0$

Therefore the required equation is x+5y+8= 0.

Hope it helps...

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4 years ago

If $1000 is divided equally amung 12 people about how much will each person reserve?

Dmitry_Shevchenko [17]

$1,000/12 = 83.3 repeated
Each person will reserve about $83.

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