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3 years ago

12

8x10x32divided by 19 +1000000000x329568453=

1 answer:

lora16 [44]3 years ago

5 0

Answer:

3.29568453×10^17

Step-by-step explanation:

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Suppose that y varies directly with x and at the same time varies inversely with z and y=12 when x=6 and z=-2. Write the equatio

ki77a [65]

Answer:

Answer:

y =18

Explanation

Step-by-step explanation:

3 0

3 years ago

I don't understand please help

kirill [66]

Answer:2x+30 =90

If the angle is 90° altogether

60=A 30=30

Step-by-step explanation:

2x+30 =90

-30 -30

2x=60

÷2. ÷2

x=30

2*30=60

60+30=90

60=A B=30

5 0

3 years ago

Evaluate i^31 please help

Nadya [2.5K]

ANSWER

${i}^{31} = - i$

EXPLANATION

We want to evaluate

${i}^{31}$

Use indices to rewrite the expression as:

$= {i}^{30} \times i$

We know that

${i}^{2} = - 1$

So we rewrite the expression to obtain;

$= ({ {i}^{2}) }^{15} \times i$

This gives us;

$= {( - 1) }^{15} \times i$

This simplifies to

$= - 1 \times i$

$= - i$

4 0

3 years ago

Help me with this plase

MakcuM [25]

Answer:

I believe it is A because if you use the slope x it matches with the line.

3 0

3 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

4 years ago