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natka813 [3]
1 year ago
12

A rock falls from rest a vertical distance of 0.72 meter to the surface of a planet in 0.63 second. What is the magnitude of the

acceleration due to gravity on the planet?
Mathematics
1 answer:
ss7ja [257]1 year ago
7 0
S = 0.72 m,  t=0.63 s
s = a · t² /2
0.72 m = a · (0.63 s )² / 2       
a · 0.3969 s² = 1.44 m 
a = 1.44 m : 0.3969 s² = 3.628 m/s²
The magnitude of the acceleration due to gravity on the planet is 3.628 m/s²

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The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes
stiv31 [10]
<h3>Answer:</h3>

6 hours 36 minutes, or 6 hours 31 1/2 minutes

<h3>Step-by-step explanation:</h3>

Dividing the task among the 6 committee members means each member will be making 525/6 = 87.5, that is, either 87 or 88 flowers. (We doubt that two people working together on the same flower will finish it in half the time.)

Each of the three committee members making 88 flowers will take ...

... 88 × 4 1/2 minutes = 396 minutes = 6 hours 36 minutes

Each member making 87 flowers will be finished 4 1/2 minutes sooner, after 6 hours 31 1/2 minutes.

_____

<em>Comment on the problem</em>

This problem seemingly invites you to divide the labor evenly among committe members. Doing that would give you an answer of 6 hours 33 3/4 minutes. You need to ask yourself whether that is practical for this situation.

4 0
1 year ago
A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x^2 – 8x – 9), whe
algol13
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
0 = -16(x^2-8x-9)

We can divide by -16, nothing will happen because 0 divided by anything is 0:
0 = x^2-8x-9

To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
0 = ax^2 + bx + c

So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
0 = (x-9)(x+1)

Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."
4 0
2 years ago
Read 2 more answers
Here are the ingredients to make 12 cupcakes.
scoundrel [369]

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

4 0
1 year ago
Given data for different baseball teams’ number of home runs and wins for the past season, how would you find the equation of th
NNADVOKAT [17]
You can get the amount that they get, by getting the amount of home runs vs the amount of wins they won, to show how the homeruns affect the wins

you can have x as the wins, and y by the amount of homeruns per win.

Then you can create first a bar graph, and then a line graph, to show how the homeruns affects the victory

hope this helps
7 0
1 year ago
Read 2 more answers
A new technology for the production of integrated circuits is being mastered. The technology will be rejected if the percentage
max2010maxim [7]

Answer:

5901

Step-by-step explanation:

The margin of error is the critical value times the standard error.

ME = CV × SE

For α = 0.05, the critical value is z = 1.96.

The standard error of a proportion is √(pq/n).  Given p = 0.04, then q = 1−p = 0.96.

The margin of error is 0.5% or 0.005.

Plugging in:

0.005 = 1.96 √(0.04 × 0.96 / n)

n ≈ 5901

8 0
1 year ago
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