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lubasha [3.4K]
3 years ago
8

Anthony Rizzo attended art class every 3 weeks, chess club every 4 weeks, and fencing every 9 weeks. When will he attend all thr

ee again
Mathematics
1 answer:
Andrei [34K]3 years ago
7 0
The GCF of 3,4,9 is 36.
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39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
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
1 year ago
Jacks average in math for the first nine weeks was an 88 . His second nine weeks average decreased 12.5% what was his average fo
ikadub [295]

10% of 88 = 8.8

2.5% of 88 = 2.2

2.2 + 8.8 = 11

88 - 11 = 77

7 0
2 years ago
Read 2 more answers
Please Help FAST! SOLVE EACH! Can I get step by steps also so I can understand thx I’ll mark brainlist also!!!
professor190 [17]
X-6y=6 slope: 1/6 y-intercept (0,1)

X= 0,6 y= -1, 0
X+3y+12=0 slope: 1/3
Y-intercept (0,4) x= -12, 0 Y= 0,4
8a-9b= 9/8 slope (0 ,7/8) x= -1,1 Y= -1/4,2
3a+b=7 1/3 (0,7/3) x= 4,7 Y=1,0

7 0
3 years ago
What is the volume of the rectangular prism?
Nataly_w [17]

Answer:

C. 72 cm^3

Step-by-step explanation:

Volume of rectangular prism is length times width times height

3 0
3 years ago
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A linear function has a slope of 3 and crosses the y- axis at 7. What is the equation of the line?
Anarel [89]

Answer:

y=3x+7

Step-by-step explanation:

cause bla bla bla and bing bong bang thats how

6 0
2 years ago
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