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Tpy6a [65]
3 years ago
6

Mary leaves London at 12:00 and expected to arrive in Dorset at 13:00, however she had to detour due to road works eventually ar

riving at 14:00. Travelling at a speed of 50 MPH How far did she travel?
Mathematics
1 answer:
Andreyy893 years ago
7 0
So she started at 12 and ended at 14
14-12=2

she traveled for 2 hours

50miles per hour or 50m/h
(m=miles not minutes)
2 hours so
2h times 50m/h
100miles traveled
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Which expression is equivalent to...? Screenshots attached. Please help! Thank you.
Studentka2010 [4]

Answer:

4x^{3} y^{2} (\sqrt[3]{4 x y})

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }

Then we'll extract the 4 from the cubic root.  We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }

For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.

4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}

The answer is then:

4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})

4 0
2 years ago
If sin =1/2then show that 3cos -4cos^3=0z
Katarina [22]

Step-by-step explanation:

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7 0
2 years ago
Find the smallest solution to the equation 2/3 X² equals 24
iren [92.7K]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

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Take the square root of each side

sqrt(x^2) = sqrt(36)

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The smallest solution is -6

The largest solution is 6

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3 years ago
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Answer:

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