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ad-work [718]
3 years ago
13

Factor 15x^2y^2 - 3x^3y + 75x^4 Please show step by step explanation, thank you! <3

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

3X^2(5y^2-3xy+25x^2)

Step-by-step explanation:

Factor by finding the GCF, Greatest Common Factor.

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write an expression that has a value of 100 and follows these restrictions. (1) uses each of the four operations at most once. (
posledela
33 * 3 + 3/3 = 100

I do not believe u have to use all of the operations because it says " at most once ". 
5 0
3 years ago
Read 2 more answers
Find two numbers such that one exceeds the other by 11 and their sum is 73.
Whitepunk [10]

Answer: 31 & 42

<u>Step-by-step explanation:</u>

1st #: x

2nd #: x + 11

1st# + 2nd# = sum

 x    +  x + 11 =  73

         2x + 11 = 73

         2x        = 62

           x          = 31


2nd #: x + 11   = 31 + 11   = 42

5 0
3 years ago
In ΔABC , angle C is a right angle.
guajiro [1.7K]

Answer:  Choice A. sin(A) = cos(B)

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

Explanation:

The rule is that sin(A) = cos(B) if and only if A+B = 90.

Note how

  • sin(A) = opposite/hypotenuse = BC/AB
  • cos(B) = adjacent/hypotenuse = BC/AB

Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).

In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.

The side lengths can be anything you want, as long as you're dealing with a right triangle.

3 0
3 years ago
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
julsineya [31]

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

  • d= 500*0.045= 22.5 mg

After second dose:

  • d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

  • d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

  • 500+19*22.5= 927.5 mg
5 0
3 years ago
At restaurants waiters typically receive tips that average 15% of the customer’s bill. At this rate, which of the following is t
kodGreya [7K]

Answer:

B $12.69

Step-by-step explanation:

Divide 84.63 by 100 to get 1% of the bill and then multiply the answer by 15 for 15% and round it:

$\frac{84.63}{100} \times 15 = 12.6945$

The closest answer would be B $12.69.

3 0
3 years ago
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