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inn [45]
3 years ago
10

Simplify the given expression. √(3x)² / 3y Зу =

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

3 x ^4 √ 3 y

Step-by-step explanation:

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A train is traveling at a speed of 80 km/h when the conductor applies the brakes. The train slows with a constant acceleration o
hodyreva [135]

Answer:

The train will travel 493.817 meters until it stops completely.

Step-by-step explanation:

In this case, we know that train applies the brakes and decelerates at constant rate until rest is reached after travelling an unknown distance. Travelled distance (\Delta s), measured in meters, can be found by using this kinematic formula:

v^{2} = v_{o}^{2}+2\cdot a \cdot \Delta s (Eq. 1)

Where:

v_{o} - Initial speed, measured in meters per second.

v - Final speed, measured in meters per second.

a - Acceleration, measured in meters per square second.

Now travelled distance is cleared within the formula:

\Delta s = \frac{v^{2}-v_{o}^{2}}{2\cdot a}

If we know that v_{o} = 22.222\,\frac{m}{s}, v = 0\,\frac{m}{s} and a = -0.5\,\frac{m}{s^{2}}, then the distance travelled by the train is:

\Delta s = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(22.222\,\frac{m}{s} \right)^{2}}{2\cdot \left(-0.5\,\frac{m}{s^{2}}\right) }

\Delta s = 493.817\,m

The train will travel 493.817 meters until it stops completely.

3 0
3 years ago
Makenzie has a bag that contains 6 red marbles 4 blue marbles and 14 yellow marbles if she chooses one marble from the bag what
stiks02 [169]

Step-by-step explanation:

Susan has a high chance of picking a yellow marble because she has more yellow than any color

7 0
3 years ago
Read 2 more answers
A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),
s2008m [1.1K]

Answer:

Alrighty! So this is what we know:

Slope (m) = (-4)

Co-ordinate (0,3)

Co-ordinate 2 (6,t)

t = ?

Let's find our equation...

y=mx+b <-- just plug what we know in...

3=(-4)0+b

3=0+b

b=3

We just found b! woohoo

Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).

SO-

t=y

plug it in our equation...

y=mx+b

t=(-4)x+3

t=(-4)(6)+3

t=(-24)+3

t=(-21)

SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)

Step-by-step explanation:

7 0
2 years ago
Can u help me on this plzz
avanturin [10]
Median: 29
Range: 25
IQR: 14.5

Explanations:

**Median:**
(To find the median, we need to first order all the elements)

Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40

(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)

Median = (28 + 30)/2 = 58/2 = 29

**Range:**

(To find the range, you just have the subtract the smallest one from the largest)

Range = 40 - 15 = 25

**IQR:**

First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40

Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5

IQR = Q3 - Q1 = 33.5 - 19 = 14.5
5 0
3 years ago
What is the measure of
Nat2105 [25]

Answer:

24

Step-by-step explanation:

180-156=24

5 0
3 years ago
Read 2 more answers
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