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2 years ago

Compute the following. f(40) − f(0)/40 − 0

Mathematics

1 answer:

Rudik [331]2 years ago

6 0

Answer:

the slope of the tangent line at (40, f(40))the slope of the tangent line at (15, f(15)) the slope of the tangent line at (10, f(10))the slope of the line segment from (10, f(10)) to (40, f(40))

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AB is dilated by a scale factor of 3 to form AB . Point O is the center of dilation, and point O lies on AB . If the slope of AB

avanturin [10]

<h2>Answer:</h2>

Option: D is the correct answer.

D. The slope of is 3, and passes through O.

<h2>Step-by-step explanation:</h2>

It is given that:

AB is dilated by a scale factor of 3 to form AB .

Also, the line AB pass through the origin.

So, if AB pass through (0,0) and some point (x,y) then the slope of line AB is:

$Slope=\dfrac{y-0}{x-0}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3$

( Since, it is given the slope of AB is 3 )

Now , if AB is dilated to A'B' by a scale factor of 3 then

(0,0) → (0,0)

and

(x,y) → (3x,3y)

i.e. (0,0) and (3x,3y) will lie on A'B'.

Hence, the slope of line A'B' is given by:

$Slope=\dfrac{3y-0}{3x-0}\\\\i.e.\\\\Slope=\dfrac{3y}{3x}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3$

Hence, both have the same slope.

The answer is : Option: D

5 0

3 years ago

9. A computer chip manufacturer knows that 72% of the chips produced are defective.

adoni [48]

The probability that exactly 800 chips are acceptable is less than 0.000001

<h3>How to determine the probability?</h3>

The given parameters are:

Sample, n = 3000
Percentage acceptable, p = 72%
Acceptable chips, x = 800

The binomial probability is represented as:

$P(x) = ^nC_x * p^x * (1- p)^{n - x}$

So, we have:

$P(300) = ^{3000}C_{800} * (72\%)^{800} * (1- 72\%)^{3000 - 800}$

The data values are large.

So, we use a statistical calculator to evaluate the expression

Using the calculator, we have:

P(300) < 0.000001

Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001

Read more about probability at:

brainly.com/question/25870256

#SPJ1

5 0

2 years ago

Let g(x)x and h(x)<br> . Evaluate .

Maurinko [17]

9514 1404 393

Answer:

h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

$(h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}$

3 0

3 years ago

Which situation demonstrates the law of large numbers

sveticcg [70]

Answer: Choice B

The more trials you do, the closer the empirical probability should get to the theoretical probability. It won't be a perfect match but it will likely be close enough so to speak. Note how 70/420 = 1/6.

4 0

2 years ago

Solve the equation for all values of x by completing the square.<br> 3x^2+177= -48x

GaryK [48]

Use the formula

(

)

in order to create a new term. Solve for

by using this term to complete the square.

Exact Form:

√

−

Decimal Form:

−

5.76393202

…

−

10.23606797

4 0

2 years ago