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3 years ago

Which table represents a function that does not have a constant rate of change

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

Answer:

I might be able to help you if you add a picture

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A 4-lb. force acting in the direction of (vector) 4,-2 moves an object just over 7ft from point (0,4) to (5,-1). Find the work d

Tcecarenko [31]

To solve this problem, we have to find the net displacement and the net force and the multiply the dot product together and get the work done.

The work done on moving the object is 27ft*lbs

<h3>Work done in moving the object from point A to point B</h3>

To find the work done on this object, let's find the net force on the object.

Data;

force = 4lb
direction = 4, -2
displacement = 7ft
direction = (0, 4) to (5,1)

The unit vector of the force is

$\sqrt{4^2 +(-2)^2} =\sqrt{16 + 4} = \sqrt{20}$

$\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} }$

The net force acting on the object is

$F = 4(\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} })\\F= (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } )$

The displacement on the object is 7ft through (0,4) to (5, -1)

The unit vector on displacement is

$\sqrt{5^2 + (-1-4)^2} = \sqrt{25+25} = \sqrt{50}$

$\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }$

The net displacement will be

$7(\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }) = \frac{35}{\sqrt{50} }, \frac{-35}{50}$

The work done will be F.d

$w = f. d \\$

$w = (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } ) * \frac{35}{\sqrt{50} }, \frac{-35}{50}\\w = 17.71+ 8.854\\w = 26.567 = 27ft*lbs$

The work done on moving the object is 27ft*lbs

Learn more on work done on an object here;

brainly.com/question/26152883

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6 0

2 years ago

Round 398.223 to the nearest ten

Rufina [12.5K]

Answer:

400

Step-by-step explanation:

Method for rounding:

Look at the number 1 place before the place you are rounding to.

If it is greater than 4: round up

otherwise: round down.

Ok,

here the number we're looking at is 8 cuz' 8 is in the ones place.

8 is bigger than 4 so we round up.

398.223 becomes 400

6 0

3 years ago

Read 2 more answers

4ln x -8=12 its giving me other equations

kogti [31]

The solution of the given logarithmic equation is x = 28.1

<h3>How to solve the logarithmic equation?</h3>

Here we have the logarithmic equation:

4*ln(x - 8) = 12

And we want to solve this for x.

Remember the relations:

$ln(e^x) = x\\e^{ln(x)} = x$

First, we divide both sides by 4:

$ln(x - 8) = 12/4 = 3$

Then, if we apply the exponential equation to both sides of our equation, we get:

$e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1$

If you want to learn more about logarithmic equations:

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8 0

1 year ago

Can any of you help I pay

natita [175]

Answer:

28⁵

Step-by-step explanation:

4⁵ × 7⁵ = 17210368

Simplify = 28^5

(hope this helps can I pls have brainlist (crown) ☺️)

4 0

2 years ago

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Solve for y:<br> 2x + 3y = 6

Aleonysh [2.5K]

Answer:

see below

Step-by-step explanation:

3y=6-2x and then

y=2-2/3x

6 0

2 years ago

Read 2 more answers