Multiply and simplify.
(a - 2b) (2a - b) (a + 2b)

Answers

Answer 1
Answer: (a - 2b) (2a - b) (a + 2b)=\n (2a-b)(a^2-4b^2)=\n 2a^3-8ab^2-a^2b+4b^3=\n 2a^3-a^2b-8ab^2+4b^3

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A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just before each tablet is taken, 20% of the drug remains in the body. (a) How much of the drug is in the body just after the sec- ond tablet is taken
Find the missing side b. A. 16.1 B. 19.7 C. 26 D. 13
Write the equation of the line that passes through the given points. (0,-5) and (8,0)​
Find the perimeter and area of the figure...
Each participant in a certain study was assigned a sequence of 3 different letters from the set {a, b, c, d, e, f, g, h}. if no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (note, for example, that the sequence a, b, c is different from the sequence c, b,a.) 20

Find the total amount you will pay given an original price of $24.99 and tax rate of 5%.Enter the correct answer in the box.

Answers

Answer:The answer is 15.78

Step-by-step explanation:

Answer:

22.84 yep

Step-by-step explanation:

44 tens is the same as?

Answers

The 44 tens are equivalent to the integer number 440.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sentence is given below.

44 tens

The sentence can be written in mathematical form. Then we have

⇒ 44 x 10

⇒ 440

Thus, the 44 tens are equivalent to the integer number 440.

More about the Algebra link is given below.

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The long way would be adding 10+10+10+...+10, 44 times. Or we can do it the fast way and multiply 44 by 10 since there are 44 tens.
44 * 10 = 440

How do I solve for x in the equation 5^x=3125? Also in 5^x=1/125, 9^x=243, 4^x=1/32, and 3*2^x=96?

Answers

remember
if x^m=x^n and x=x, m=n
also
x^-m=1/(x^m)
(x^m)^n=x^(mn)

try to match bases

5^x=3125
5^x=5^5
x=5

5^x=1/125
1/125=1/(5^3)=5^-3
5^x=5^-3
x=-3


9^x=234
3^(2x)=3^5
2x=5
x=2.5


4^x=1/32
1/32=1/(2^5)=2^-5
2^(2x)=2^-5
2x=-5
x=-2.5


3*2^x=96
first divide both sides by 3
2^x=32
2^x=2^5
x=5




5^x=3125
x=5

5^x=1/125
x=-3


9^x=234
x=2.5

4^x=1/32
x=-2.5

3*2^x=96
x=5

5^x=1/125

Take log of both sides

log(5^x)=log(1/125)

x*(log(5))= log(1/125)

x= log(1/125)/ log(25)

x=-3


9^x= 243

Take log of both sides


log(9^x)= log(243)

x*(log(9))= log(243)

x= log(243)/ log(9)

x= 2.5


4^x= 1/32

Take log of

log(4^x)=log(1/32)

x*(log(4))=log(1/32)

x= log(1/32)/log(4)

x= -2.5


3*2^x=96

Divide both sides by 3 so we can make it more simply

3(2^x)/3= 96/3

2^x= 32

Take log of

log(2^X)=log(32)

x(log(2))= log(32)

x= log(32)/log(2)

x=5


As you can see, I only used a simple way for all of them.


I hope that's help:0

Line OP has an equation of a line y = 6x − 5, and line QR has an equation of a line y = 6x + 3. These two equations represent

Answers

The two equations represent parallel lines, since they both have the same slope which is equal to 6. Line OP intersects the y-axis at (0,-5), and line QR intersects the Y axis at (0,3).

An angle of size 124 degrees has been rotated d degrees around a center 0 what is the size of the rotated angle?​

Answers

Answer:

124

Step-by-step explanation: Hope it helps

Final answer:

No matter how much the angle is rotated around the center, the size of the angle remains the same. Therefore, even after the rotation, the size of the angle is still 124 degrees.

Explanation:

When an angle is rotated around a center, the size of the angle doesn't change.

It's an important characteristic of angle rotation. So, if an angle of 124 degrees is rotated d degrees around a center, the size of the rotated angle will still remain 124 degrees. It is just in its new position after rotation. Regardless of the rotation of the angle, its size or measure remains the same as the rotation does not affect the measure of the angle.

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A professional athlete deposited an amount of money into a high-yield mutual fund that earns 14% annual simple interest. A second deposit, $2,400 more than the first, was placed in a certificate of deposit earning 8% annual simple interest. In one year, the total interest earned on both investments was $456. How much money was invested in the mutual fund?

Answers

Answer:

$1,200

Step-by-step explanation:

Let x be the amount of money deposited in the mutual fund. The interest earned by that investment can be determined as the amount deposited times the interest rate:

I_(1) = x*0.14

The value the second deposited can be determined as x+$2,400 and its interest earned is defined in the same manner as the first deposit's:

I_(2) = (x+2400)*0.08

The total interest on both investment equals the sum of both interests:

456=I_(1)+I_(2)\n456=(x+2,400)*0.08 +x*0.14\nx=(456-192)/(0.22)\n x=1,200

$1,200 were invested in the mutual fund.