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Leokris [45]
2 years ago
3

. The ball has a mass of 2 kg and had a final speed of 5 m/s. What is the kinetic energy of the ball? Give your answer in joules

(J). Recall that the equation for finding kinetic energy is "Kinetic Energy = 1/2 x mass x speed²"
Mathematics
1 answer:
leva [86]2 years ago
7 0
Myself I have to get my car done before my house I got a little more than I thought I would be
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The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the sa
Aleksandr [31]

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

3 0
2 years ago
How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
MAVERICK [17]

Answer:

Decreased by 40%!

Step-by-step explanation:

At first it goes down by 10%, then 30%, so you just add them together and get decreased by 40%.

8 0
2 years ago
Read 2 more answers
6 use fermat’s theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 29. (
Ulleksa [173]
If

x^{85}\equiv6\mod29

then we have

\dfrac{x^{85}}6\equiv1\mod29

By Fermat's little theorem, if a is not divisible by a prime p, then

a^{p-1}\equiv1\mod p

This works for x=6; in this case, we would have

\dfrac{6^{85}}6=6^{84}=\left(6^3\right)^{28}=\left(6^3\right)^{29-1}\equiv1\mod29
7 0
2 years ago
Which is closest to the quotient 2,967 ÷ 0.003?
rodikova [14]

Answer:

989000

Step-by-step explanation:

Divide  2,967 ÷ 0.003

7 0
2 years ago
Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of
skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

p, q, r, s

The average will be Sum of all numbers divided by count of numbers.

\dfrac{p+ q+ r+ s}4

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

\dfrac{p+ q+ r+ s}4

\dfrac{p+ q+ r+ s}4

Now, let us add all of them:

\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4  < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0
2 years ago
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