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Irina-Kira [14]
3 years ago
7

A small 17 kilogram canoe is floating downriver at a speed of 2 m/s. What is the

Mathematics
1 answer:
RideAnS [48]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

Answer: 34

Units: Joules

KE=34J

<h2>Why?</h2>

The kinetic energy is the work needed to accelerate an object to a determined speed.

The kinetic energy can be calculated using the following equation:

KE=\frac{1}{2}mv^{2}

Where,

m, is the mass of the object.

v, is the speed of the object.

So, we are given the information:

mass=17kg\\\\v=\frac{2m}{s}

Then, substituting and calculating we have:

KE=\frac{1}{2}mv^{2}

KE=\frac{1}{2}*17kg*(\frac{2m}{s})^{2}

KE=8.5kg*(\frac{4m^{2}}{s^{2}})

KE=34\frac{kg.m^{2}}{s^{2}}=34J

Have a nice day!

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A box contains four red, three blue, and six green lenses. two lenses are randomly selected from the box. find the probability o
andrew-mc [135]

The probability of getting two red lenses when two are selected will be 2/13.

<h3>What is probability?</h3>

The probability of favorable events to the total number of occurrences.

A box contains four red, three blue, and six green lenses.

Two lenses are randomly selected from the box.

Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be

The total number of the event will be

Total event = ¹³C₂

Total event = 78

Then the favorable event will be

Favorable event = ⁴C₁ x ³C₁

Favorable event = 4 x 3 = 12

Then we have

P = 12 / 78

P = 2/13

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

6 0
1 year ago
Use the Venn diagram to calculate probabilities
Shkiper50 [21]

From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

\mathbb P(A\cap B)=\dfrac6{35}

\mathbb P(A)=\dfrac{15+6}{35}=\dfrac{21}{35}=\dfrac35 (this is the answer)

\mathbb P(B)=\dfrac{10+6}{35}=\dfrac{16}{35}

By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac6{35}}{\frac{16}{35}}=\dfrac6{16}=\dfrac38

P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac6{35}}{\frac{21}{35}}=\dfrac6{21}=\dfrac27

8 0
3 years ago
Read 2 more answers
There are 40 sodas at a plate sale. 15 sodas are grape flavored. What percentage of the soda's are grape? * 25%​
liubo4ka [24]

Step-by-step explanation:

40 sodas=100%

15 sodas=?

15×100

1500/40

37.5%

7 0
2 years ago
What is the solution to this system?<br> 3x+2y=45<br> 4x+-y=5
hodyreva [135]

(I) 3x + 2y = 45

(II) 4x - y = 5

Get y alone in equation (II)

4x - y = 5\\y = 4x - 5

Insert new equation (II) in equation (I)

3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5

Insert x = 5 in equation (II)

y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15

5 0
3 years ago
-x/3 - 2 less then or equal to 1
Reptile [31]

Answer:

\huge\boxed{x\geq-9}

Step-by-step explanation:

\dfrac{-x}{3}-2\leq1\qquad|\text{add 2 to both sides}\\\\\dfrac{-x}{3}-2+2\leq1+2\\\\\dfrac{-x}{3}\leq3\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{-x}{3\!\!\!\!\diagup}\leq3\cdot3\\\\-x\leq9\qquad|\text{change the signs}\\\\x\geq-9

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