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True [87]
3 years ago
8

Which statement about numbers on the vertical number line is true?

Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0
The answer is B, hope this help Faux, trust me bro :)
wel3 years ago
4 0
The answer is B. hope it helped
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The letter tiles shown are placed in a bowl. Matt selects one tile from the bowl.
Julli [10]

Answer:

4/10 or 2/5

Step-by-step explanation:

probability of each letter:

J = 0/10

U = 2/10

M = 1/10

P =  1/10

4 0
3 years ago
What is the value of the expression 8 cubed?
Ierofanga [76]

Answer:

512

Step-by-step explanation:

8*8*8

64*8

512

5 0
3 years ago
Read 2 more answers
Please Help!!<br><br>Use Euler’s formula to write in exponential form.
LekaFEV [45]

Answer:

C, 4e^{i(7\pi/4)}

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

e^{ix}=\cos{x}+i\sin{x}

Given the complex number 2\sqrt{2}-2i\sqrt{2}, we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression 2(\sqrt{2}-i\sqrt{2})

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression 4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right) , and <em>now </em>we have something to work with.

Looking back at Euler's formula e^{ix}=\cos{x}+i\sin{x}, we can map our expression inside the parentheses to the one on the right side of the formula, giving us \cos{x}=\frac{\sqrt2}{2} and \sin{x}=-\frac{\sqrt2}{2}, or equivalently:

\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so x=\frac{7\pi}{4}, and we can finally replace our expression in parentheses with its exponential equivalent:

4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}

Which is c on the multiple choice section.

4 0
3 years ago
If a turtle can move 1/7 of a km every hour, then how many hours would it take for a turtle to go 5 km?
Paul [167]

Answer:

it take 1/7 km in 1 hour then,

1 km it take 7 hours

so, it cover 5 km in 35 hours

1/7 km ------- 1 hour

1km ------- 7 hour

5km -------( 5*7) == 35 hours

5 0
3 years ago
A Ferris wheel can accommodate 45 people in 25 minutes. How many people could ride the Ferris wheel in 2 hours? What was that ra
Sliva [168]

Answer:

5400

Step-by-step explanation:

60 min=1 hour

120 min=2 hr

120 x 45=5400

4 0
3 years ago
Read 2 more answers
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