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2 years ago

If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?

Mathematics

1 answer:

ELEN [110]2 years ago

4 0

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

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Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill

Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

6 0

2 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

steposvetlana [31]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

5 0

2 years ago

The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers

vichka [17]

Answer:

Yes, it would be statistically significant

Step-by-step explanation:

The information given are;

The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%

Number of jawbreakers in the sample, n = 800

The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = $\mu _ {\hat p}$ =p

The formula for the standard deviation of a proportion is $\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }$

Solving for the standard deviation gives;

$\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173$

Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4 in the sample of 800 = 800*0.6 = 480

For statistical significance the difference from the mean = 2× $\sigma _{\hat p}$ = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7

The z-score of 494 jawbreakers is given as follows;

$Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }$

$Z=\dfrac{494-480 }{0.0173 } = 230.94$

Therefore, the z-score more than 2 × $\sigma _{\hat p}$ which is significant.

8 0

2 years ago

Gillian bought some bund and cakes for $15.25. A bun and a cake cost $2 altogether and each cake cost $1.25. She bought one more

laila [671]

Buns cost .75 so 7 buns. If you need an equation 2x + 1.25= 15.25

8 0

2 years ago

Maggie brought $10 to the candy store she will buy a certain amount of fudge 1 pound cost to 2.30 if p represents the money magg

xxTIMURxx [149]

Question is Incomplete. Complete question is given below;

Maggie brought $10 to the candy store. She will buy a certain amount of fudge. One pound of fudge costs $2.30. If p represents the amount of fudge, in pounds, Maggie buys, which expression represents the money Maggie has left after visiting the candy store?

Answer:

The expression that represent the money Maggie has left after visiting the candy store is $(10-2.3p)$

Step-by-step explanation:

Given:

Money Maggie brought at store = $10

Cost of 1 pound of fudge = $2.30

Let the amount of fudge be p

We need to find the amount of Money Maggie has left with after visiting the store.

The amount of Money Maggie has left with can be calculate by subtracting the amount of fudge she bought multiplied by Cost of 1 pound of fudge with Money Maggie brought at store.

The equation can be framed as;

Money left = $10-2.3p$

Hence, The expression that represent the money Maggie has left after visiting the candy store is $(10-2.3p)$

3 0

2 years ago