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4 years ago

Randy does 200 Newton-meters of work moving a 100 pound piano a distance of 5 meters. How much force did he use?

Mathematics

1 answer:

Assoli18 [71]4 years ago

3 0

Answer:

40 Newtons

Step-by-step explanation:

Equation: W = Fd, where W = work, F = force, and d = distance

Plug in: 200 Nm = F * 5 m

Divide: 40 N = F

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Using the graph, choose the correct formula for the function g.

serious [3.7K]

The graph scale is 0.5.
g(x) is 3 units lower than f(x). How do we find this?
A isn't correct because then g(x) would be 1 above f(x).
C isn't correct either because that would mean that g(x) is f(x) moved 1 over to the left.
D isn't correct because that would mean g(x) is f(x) moved 3 to the right.
B is correct because it means that g(x) is f(x) moved down 3 units.
I got B, but it is always helpful to double check work. Hope this helps!

4 0

4 years ago

Read 2 more answers

Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year, write an exponential model for the

elena55 [62]

Answer:

In 2026 car will have a value of $5,000.

Step-by-step explanation:

We have been given that Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year.

Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay or decrease b is in form (1-r), where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

$14\%=\frac{14}{100}=0.14$

Upon substituting a =28,000 and r=0.14 in exponential decay function we will get,

$y=28,000(1-0.14)^x$ , where x represents number of years after 2014.

Therefore, the function $y=28,000(0.86)^x$ represents the value of car x years after 2014.

To find the number of years it will take to car have the value of $5,000, we will substitute y=5,000 in our function.

$5,000=28,000(0.86)^x$

Let us divide both sides of our equation by 28,000.

$\frac{5,000}{28,000}=\frac{28,000(0.86)^x}{28,000}$

$0.1785714285714286=(0.86)^x$

Let us take natural log of both sides of our equation.

$ln(0.1785714285714286)=ln((0.86)^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.1785714285714286)=x*ln(0.86)$

$\frac{ln(0.1785714285714286)}{ln(0.86)}=\frac{x*ln(0.86)}{ln(0.86)}$

$\frac{-1.7227665977411033893}{-0.1508228897345836}=x$

$x=11.422447\approx 12$

As in the 12th year after 2014 car will have a value of $5,000, so we will add 12 to 2014 to find the year.

$2014+12=2026$

Therefore, in 2026 car will have a value of $5,000.

6 0

3 years ago

Read 2 more answers

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many

Lostsunrise [7]

Answer:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Step-by-step explanation:

4 0

3 years ago

For a school fundraiser, Elena will make T-shirts. She will order T-shirts and print graphics on them. Elena must spend $349 on

Bad White [126]

20 shirts | 349 + 20(4.8)

40 shirts | 349 + 40(4.8)

60 shirts | 349 + 60(4.8)

(please simplify them yourself)

b) Tn = 349 + n(4.8)

c) (1000 - 349)/4.8 ............... rounded down.

3 0

3 years ago

Read 2 more answers

Work out the value of angle x. and give a reason for your answer. pls help!

Stella [2.4K]

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

5 0

3 years ago