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harkovskaia [24]

2 years ago

7

Express the distance 48,000,000 meters using scientific notation in meters and then in millimeters

2 answers:

KengaRu [80]2 years ago

8 0

Answer:

Meters:4.8x10 to the 6th power

Millimeters:4.8x 9th power.

Be doin Pearson MathXL

I did 1 today.

Amanda [17]2 years ago

5 0

48,000,000 meters converted to millimeters is 48,000,000,000.

48,000,000,000 millimeters converted to scientific notation is 4.8 x 10^10

So your answer will be 4.8 x 10^10 in scientific notation or 48,000,000,000 in standard notation.

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Which is equivalent to-2(4-3x)+ (5x-2)

almond37 [142]

Answer:

Step-by-step explanation:

-2(4-3x)+(5x-2)

-8+6x+5x-2

11x-10

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2 years ago

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Klio2033 [76]

Answer:

48.6 km/hr

Step-by-step explanation:

(135/10)×(18/5)

48.6 km/hr

3 0

3 years ago

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d1i1m1o1n [39]

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2 years ago

g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o

natali 33 [55]

Answer:

The tangent line to the given curve at the given point is $y=9x-26$ .

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of $y=2x^2-7x+6$ and then evaluate it for $x=4$ .

$(y=2x^2-7x+6)'$ Differentiate the equation.

$(y)'=(2x^2-7x+6)'$ Differentiate both sides.

$y'=(2x^2)'-(7x)'+(6)'$ Sum/Difference rule applied: $(f(x)\pmg(x))'=f'(x)\pm g'(x)$

$y'=2(x^2)'-7(x)'+(6)'$ Constant multiple rule applied: $(cf)'=c(f)'$

$y'2(2x)-7(1)+(6)'$ Applied power rule: $(x^n)'=nx^{n-1}$

$y'=4x-7+0$ Simplifying and apply constant rule: $(c)'=0$

$y'=4x-7$ Simplify.

Evaluate y' for x=4:

$y'=4(4)-7$

$y'=16-7$

$y'=9$ is the slope of the tangent line.

Point slope form of a line is:

$y-y_1=m(x-x_1)$

where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Insert 9 for $m$ and (4,10) for $(x_1,y_1)$ :

$y-10=9(x-4)$

The intended form is $y=mx+b$ which means we are going need to distribute and solve for $y$ .

Distribute:

$y-10=9x-36$

Add 10 on both sides:

$y=9x-26$

The tangent line to the given curve at the given point is $y=9x-26$ .

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function $f(x)=2x^2-7x+6$ at $x=4$ (the slope of the tangent line at $x=4$ ):

$\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}$

$\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}$ We are given f(4)=10.

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

$2x^2-7x-4=(x-4)(2x+1)$

Let's check this with FOIL:

First: $x(2x)=2x^2$

Outer: $x(1)=x$

Inner: $(-4)(2x)=-8x$

Last: $-4(1)=-4$

---------------------------------Add!

$2x^2-7x-4$

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

$\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}$

$\lim_{x \rightarrow 4}(2x+1)$

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=c.p%20%3D%20rs.750%20%20%5C%3A%20profit%20%3D%2050" id="TexFormula1" title="c.p = rs.750 \: p

White raven [17]

Answer:

SP=Rs 800

Step-by-step explanation:

→As we have,

→Profit=SP-CP

Now,

$Profit=SP-CP\\Rs50=SP-Rs750\\Rs50+Rs750=SP\\SP=Rs800$

8 0

2 years ago