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andrew11 [14]
3 years ago
5

The world's most powerful tugboats are built in Finland. One of these boats can do 9.8 × 107 J of work through a distance of 35

m. What is the force exerted by the tugboat? 
Mathematics
1 answer:
kkurt [141]3 years ago
3 0
<span>2.8 x 10^6 N We have 9.8 x 10^7 J or 9.8 x 10^7 kg*m^2/s^2 of work done through a distance of 35 meters. Since work is defined as force over distance, that means that: F * 35m = 9.8 x 10^7 kg*m^2/s^2 Solving for F, gives F * 35m = 9.8 x 10^7 kg*m^2/s^2 F = 9.8 x 10^7 kg*m^2/s^2 / 35m F = 2.8 x 10^6 kg*m/s^2 F = 2.8 x 10^6 N So the force exerted by the tugboat is 2.8x10^6 Newtons.</span>
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What are three expressions that are equivalent to -2(4-3x) + (5x-2)
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sladkih [1.3K]
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5 0
3 years ago
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Please help me. I really appreciate it if you answered. Thank you! &lt;3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
3 years ago
Mr.Lopez owns a home that sits on 7/8 of an acre. He has decided to plow up 1/4 of the property to create a garden. What fractio
vodomira [7]

In math, "of" almost always means "times".

"The property" is 7/8 acre.

So "1/4 of the property" means "1/4 times 7/8 acre".

1/4 x 7/8 = (1 x 7) / (4 x 8)

That's 7/32 .

Mr. Lopez hasn't plowed up anything yet, but his plan is to plow up 7/32  acre for his garden.


3 0
3 years ago
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