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3 years ago

What is the simplified form of 2 times 10 squared to the second power in standard notation?

Mathematics

2 answers:

Semmy [17]3 years ago

4 0

2 times 10 squared to the second power in standard notation

2 x(10^2)^2
=2x10^4
=20000

pav-90 [236]3 years ago

4 0

Original Form: (2*√10)^2

Standard Notation Form: 6.32455532034^2 = 40

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Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in

marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-1-0}{0-2/3}$

$m=\frac{-1}{-2/3}$

$m=\frac{3}{2}=1.5$

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6) approximately

substitute in the formula

$m=\frac{6+1}{3-0}$

$m=\frac{7}{3}=2.33$

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0

3 years ago

*20 points* how do you get the weighted average from this table?

sertanlavr [38]

Answer:

Weighted average is the average of a set of numbers, each with different associated “weights” or values. To find a weighted average, multiply each number by its weight, then add the results.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

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

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

3 years ago

Which of the following CANNOT be given the lengths of the sides of a triangle?

Katena32 [7]

The sides of a triangle must satisfy the triangle inequality, which states the sum of the lengths of any two sides is strictly greater than the length of the remaining side.

We really only have to check if the sum of the two smaller sides exceeds the largest side.

A. 5+6>7, ok

B. 6+6>10, ok

C. 7+7=14 Not ok, this is a degenerate triangle not a real triangle

D. 4+6>8 ok

Answer: C

6 0

3 years ago

Read 2 more answers

If j and k are parallel lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and

natita [175]

A and B are points on j.

C and D are points on k.

Join AD and BC.

ABCD is a quadrilateral.

Clearly, the quadrilateral ABCD is the only plane that contains the points A, B, C and D.

Hence, correct answer is option A. Exactly one.

8 0

3 years ago