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pantera1 [17]
2 years ago
12

A movie theater just opened 2 new theaters. One theater has 15 seats in each row. The second theater has 20 seats in each row. B

oth theaters seat the same number of people. What is the smallest number of seats that both theaters could have?
Mathematics
1 answer:
Lana71 [14]2 years ago
7 0
15, 30, 45, 60, 75, 90, 105, 120, 135, 150
20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Smallest number would be 60 because it’s the least common number in both theaters.

Let me know if I’m right,

-Hoodie
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What is the derivative of the following function? f(x) = 4x^6/cos^5(x)
KIM [24]

Answer:

f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }

Step-by-step explanation:

We have to find the derivative of the following function:

f(x) = \frac{4x^{6} }{\cos^{5} x }

Now, differentiating both sides with respect to x we get,

f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}

⇒ f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x } (Answer)

{Since, we know that, \frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)} and \frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x) }

5 0
4 years ago
What is the interquartile range of the data set below? Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72 (1) 22  
sdas [7]
<span>68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

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Upper Median = 101

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8 0
4 years ago
Persons taking a​ 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a
mihalych1998 [28]

Answer:

y = 4.125x + 496.25

Step-by-step explanation:

Set the data up as points. Then deal with the points.

Givens

(30,620)

(70,785)

y2 = 785

y1 = 620

x2 = 70

x1 = 30

Formula

Slope = (y2 - y1) / (x2 - x1)

Solution

Slope = (785 - 620)/(70 - 30)

Slope = 165 / 40

Slope = 4.125

===================

Now you need the y intercept. Either one of the two given points will give you that.

y = 620

x = 30

m = 4.125

y = mx + b

620 = 4.125*30 + b

620 = 123.75 + b

620 - 123.75 + b

b = 496.25

5 0
3 years ago
You spend $40 on 5 Pounds of concreate what is the<br> 1 unit rate in dollars
Umnica [9.8K]

Answer:

$8

Step-by-step explanation:

6 0
2 years ago
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4 units wide would be the answer bc the deminsions of the legs wouldn't change for a rectangle or a triangle
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