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VikaD [51]
3 years ago
13

Solve the inequality for w . W-9 > 23Simplify your answer as much as possible.

Mathematics
1 answer:
lord [1]3 years ago
7 0
The answer is W>33 this is as simplified at it can be
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The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
Justin wants to cover the top of a circular swimming pool to keep insects out of the pool. If the diameter of the pool is 20 fee
evablogger [386]

Answer: The area is approximately 314 ft^2

Step-by-step explanation:

Well if the diameter is 20  feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula

A= \pi r^{2}  where A is the area and pi times the radius squared.

We will represent pi by 3.14  

A= 3.14* 10^2

A= 3.14 * 100

A = 314

6 0
3 years ago
What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2
Sergeeva-Olga [200]
The maximum number of turning points in a cubic function is 2.

In this case,

f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4

The discriminant is (-2)^2-4(9)(4)=-140, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
5 0
3 years ago
Read 2 more answers
What is the circumference of a circle with a radius of 2.5 meters?
Hitman42 [59]

Answer:

15.71m

Step-by-step explanation:

circumference of a circle = 2πr

where r = 2.5m

where π = 3.142

we have,

2*3.142*2.5 = 15.71m

therefore the circumference of a circle with a radius 2.5m = 15.71 m

8 0
3 years ago
X+2y=6 <br> SHOW ALL OF YOUR WORK!
Alika [10]

Answer:

x+2y=6

Subtract 2y from both sides.

x=6−2y

Step-by-step explanation:

x=6-2y

3 0
2 years ago
Read 2 more answers
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