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2 years ago

What is the intersection of the three sets: A = {1,2,3,4,5),

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

5 0

Answer:

(2,3)

Step-by-step explanation:

The only two numbers all three share

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What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)

Pachacha [2.7K]

Answer:

The third option listed: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

$7\sqrt[3]{2x} -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x} -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x} -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}$

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

$7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}$

Therefore this is the simplified radical expression: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

5 0

2 years ago

Tricia has 12/15 pound of birdseed. She is filling bags with 1/5 pound of birdseed in each bag. How many bags will Tricia fill?

irina [24]

Answer:

C!!!!

Step-by-step explanation:

(3/15)x=12/15

x = 4

I would take a brainliest, but its your choice

5 0

2 years ago

Is there a series of rigid transformations that could map TriangleKLP to TriangleQNM? If so, which transformations? No, Triangle

poizon [28]

Answer:

C. Yes, Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

Step-by-step explanation:

2020 EXAM

4 0

2 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

fenix001 [56]

Answer:

x^6y^3

Step-by-step explanation:

Given polynomial:

8x^6y^5 - 3x^8y^3

Get prime factors:

2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y

Common factors of the two terms:

x*x*x*x*x*x*y*y*y = x^6y^3

So

x^6y^3(8y^2 - 3x^2)

x^6y^3 is the GCF of this polynomial

4 0

2 years ago

The angle of elevation to the top of a 30 story skyscraper is measured to be 3 degrees from a point on the ground 2,000 feet fro

Leto [7]

You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building.
Draw a picture of this. Then tan(3) = ht of bldg/2000 
I get a height of 104.82 ft rounded to 2 dp. 

5. Ok. use the Pythagorean Theorem here to find the hypotenuse of the right triangle 
hypt = sqrt(50^2 + 9^2) 
Now sine of the angle of elevation is 50/hypt. = 0.984 or 0.98 to 2 dp.

4 0

2 years ago