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Marina CMI [18]
3 years ago
15

Find the area of the region. Use a graphing utility to verify your result.

Mathematics
1 answer:
ycow [4]3 years ago
4 0
\int\limits^\pi_0 [6 \sin{x} + \sin(6x) }] \, dx 
\\  \int\limits^\pi_0 {6 \sin{x}}\ dx +  \int\limits^\pi_0 \sin(6x) } \ dx 
\\ 6\int\limits^\pi_0 { \sin{x}}\ dx +   \frac{1}{6} \int\limits^{6\pi}_0 \sin{t} } \ dt
\\ -6\cos{x}|_0^\pi-  \frac{1}{6}\cos{t}|_0^{6\pi}
\\-6(\cos\pi-\cos0)-\frac{1}{6}(\cos{6\pi}-\cos0)
\\ -6(-1-1)-\frac{1}{6}(1-1)
\\-6(-2)-\frac{1}{6}\times0 \\12
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I think it is random sampling because he picked one out of every 3 girls. Therefore, he picked at random.

Hope that helped!

Mandy Woodland
8 0
3 years ago
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Variables mathematics
nikdorinn [45]

Answer:

We need to flip the symbol at the end of the question.

answer: x<= 6.5

Step-by-step explanation:

Given inequality: 2(x-4)+5<=4(x-4)

Distribute: 2x-8+5<=4x-16

Undo a constant term from left side: 2x-3<= 4x-16

Combining the like terms: 2x-4x<=-16+3

Undo the coefficient term from left: -2x<=-13

Undo the variable term: x<=(13/2)=6.5

Now checking if this is write: Lets take x=6<6.5

Put x=6 in given inequality:

2(6-4)+5<=4(6-4)

2(2)+5<=4(2)

4+5<=8

9<=8 (which is not possible)

so we need to flip the inequality

2(x-4)+5>=4(x-4)

9>8

4 0
3 years ago
Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $36. At another store she can borrow the tile saw
TEA [102]

Answer:

<h3>30 tiles need to buy for same cost in both store.</h3>

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

7 0
3 years ago
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what is an equation in point-slope form of the line that passes through the given point and with the given slope m (-5,1);m=4
zalisa [80]

Equation for line: y=mx+b where m is the slope and b is the y-intercept

We have the slope. We just need to find the y-intercept. Plug in the point and the slope and solve for b.

y=mx+b

1=4(-5)+b

b=21

Answer: y=4x+21

6 0
3 years ago
PLZ HELP!!!
dexar [7]

Solution:

The given equation is:

3^2 x + 7^2= 2 ^x\\\\9 x +49 =2^x

A: Taking , x=1

L H S = 9 × 1  + 49 = 9 + 49= 58

R H S : 2^x=2^1=2

L H S ≠   R H S

B: Taking x=3

L H S = 9 × 3 + 49=27 + 49=76

R HS = 2^x = 2^3 = 8

L H S ≠  R H S

C: Taking x=5

L H S = 9 × 5 + 49

        = 45 + 49

       = 94

R H S:

2^x=2^5=32

L H S ≠ R H S

(D)

when , x= 8

L H S

9 × 8 + 49

= 72 + 49

= 121

R HS:

2^x=2^8 =256

L H S ≠ R H S






8 0
3 years ago
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