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3 years ago

Find the prime factorization of the number 150?

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

Answer:

There are twelve factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. Factors of any number can be found using prime factorization

Step-by-step explanation:

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WILL mark BRAINLIEST <br> WHICH OF THE FOLLOWING COULD BE THE EQUATION OF THE FUNCTION BELOW?

AysviL [449]

Answer:

y = 0.5cos(4(x+π/2)) -2

Step-by-step explanation:

The centerline of the oscillation is at -2, so only the 2nd and 4th choices are viable.

The multiplier of x is computed from (2π)/period. One period is π/2, so the multiplier of x is ...

... 2π/(π/2) = 4 . . . . . matching the 2nd selection.

The horizontal offset in the second equation (π/2) is of no consequence, as it is one full period of the function.

The peak-to-peak amplitude of the oscillation is 1 unit, so the multiplier of the cosine function (which usually has a peak-to-peak value of 2 units) is 0.5. Every offered answer has that characteristic.

The appropriate choice is the 2nd one:

... y = 0.5cos(4(x+π/2)) -2

3 0

3 years ago

Read 2 more answers

( please help !! )

sergij07 [2.7K]

Answer:

A. Circular base of the bucket

B. Bucket

Step-by-step explanation:

We are given that,

1. The dimensions of the rectangular prism are,

Length = 2 feet, Width = 3 feet and Height = 5 feet.

So, we have,

Area of the rectangular base = $Length\times Width$

i.e. Area of the rectangular base = $2\times 3$

i.e. Area of the rectangular base = 6 feet²

Also, we have,

Volume of the prism = $whl$

i.e. Volume of the prism = $3\times 5\times 2$

i.e. Volume of the prism = 30 feet³

2. The dimensions of the cylinder are given as,

Diameter = 3 feet i.e Radius = $\frac{3}{2}$ = 1.5 feet

Height = 5 feet

Then, we have,

Area of the circular base = $\pi r^2$

i.e. Area of the circular base = $\pi (1.5)^2$

i.e. Area of the circular base = $2.25\pi$

i.e. Area of the circular base = 7.07 feet²

Also, we have,

Volume of the cylinder = $\pi r^{2}h$

i.e. Volume of the cylinder = $\pi (1.5)^{2}\times 5$

i.e. Volume of the cylinder = $\pi 2.25\times 5$

i.e. Volume of the cylinder = $11.25\pi$

i.e. Volume of the cylinder = 35.34 feet³

PART A: Since we have,

Area of the rectangular base = 6 feet² < 7.07 feet² = Area of the circular base

Hence, the circular base of the bucket is larger in area.

PART B: We have,

Volume of the prism = 30 feet³ < 35.34 feet³ = Volume of the cylinder

Hence, the bucket is larger in volume.

3 0

3 years ago

I need help will give 20 points

barxatty [35]

Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

4 0

3 years ago

Please I need this quick!!! 15 points

professor190 [17]

Let the number be n.

Then:

n^2 + (1/n)^2 = 82/9; find n. Find the LCD; it is 9n^2.

Mult all 3 terms by 9n^2:
82*9n^2
9n^4 + 9 = (82/9)(9n^2) => 9n^4 + 9 = ------------
   9
Then 9n^4 - 82n^2 + 9 = 0

I used my graphing calculator to find that n = 3.

Let's check: is 3^2 + (1/3)^2 = 82/9?
Is 9 + 1/9 = 82/9?
Is 81 + 1 = 82? YES. So, n=3 is a solution.

7 0

3 years ago

Please help me wit dis .

sergeinik [125]

Answer:

a. 40

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers