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Keith_Richards [23]
3 years ago
13

144 students enter a spelling bee,but only 1/6 of the group will make into the semi-final round, and only 2/3 that group will ma

ke into the final round.How many students will enter the final round of the spelling bee?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

96

Step-by-step explanation:

144 x 2 = 288

288/3 = 96

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Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
2 years ago
What is real world meaning
grin007 [14]

The definition of a real-world equation is an equation that could perhaps occur in real life, for things like construction.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
Calculate the missing length for this cylinder
Snezhnost [94]
I assume by the length you mean height so,

\frac{6908}{ \pi * 22^{2} } ≈ <span>4.54.

if you're supposed to round it, it'd be either 4.50, or 5
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I hope this helps
5 0
3 years ago
Read 2 more answers
A flower box is 3 ft. Long, 2 3/4 ft. Wide, and 1/2 ft. Deep. How many cubic feet of dirt can it hold? A. 4 1/8 B. 5 3/4 C. 6 1/
pochemuha

Answer:

The box can hold 4 1/8 cubic feet of dirt

Step-by-step explanation:

What we simply have to find here is the volume of dirt it can take

To get this, we have to multiply the dimensions of the box

We have this as follows

Volume or box = length * width * height

Volume of box = 2 3/4 * 1/2 * 3

Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet

5 0
3 years ago
Use the quadratic formula to find both solutions to the quadratic equation given below 3x^2-x+6=0
Mrac [35]

Hello from MrBillDoesMath!

Answer:

Choice E and F

Discussion:

From the quadratic formula with a = 3, b = -1, and c = 6

x =  ( -b +\- sqrt(b^2 - 4ac)  ) / (2a)       => substitute in a,b,c from above

x = ( -(-1) +\- sqrt((-1)^2 - 4(3)(6)) / (2*3)  => discriminant = 1 - 72 = -71)

x = ( 1 +\- sqrt(-71))/ 6

which are choices E and F

Thank you,

MrB

6 0
3 years ago
Read 2 more answers
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