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Ahat [919]
3 years ago
9

Simplify the problem below.

Mathematics
1 answer:
marta [7]3 years ago
6 0

To solve this problem, we first must rewrite each term in the form k times a^n so that we can compute the multiplication afterwards.  To do this, we must remember that the square root of a is equivalent to a^(1/2) and that variables in the denominator have negative exponents.  Using this knowledge, we can rewrite the given expression as:

a^(1/2) * (2a² - 4a^(-1))

Now, we must recall that when terms with the same base are multiplied together, we must add the exponents when simplifying.  This step is shown below.

2a^(1/2 + 2) - 4a^(1/2 - 1)

The next step is to perform the addition of the exponents and obtain our final answer.

2a^(5/2) - 4a^(-1/2)

The above expression is your final answer.  

Hope this helps!

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Elaine has a desktop that is 4.5 feet by 5.5 feet, and she is going to cover it with patches of wallpaper that each measure 18 i
I am Lyosha [343]


first transform feet into inches 4.5 feet = 48.5 inches; 5.5 feet = 60.5 inches;

then get the area in inches : 48.5 x 60.5 = 2934.25 inches; the area of one patch is 18 x 24 = 432 inches

so now divide the area of the desktop by the area of one patch

2934.25 / 432 = 6.7 so she needs 7 patches


7 0
3 years ago
A bag contains 30 lottery balls numbered 1-30 a ball is selected, not replaced,then another is drawn.find each probability
Valentin [98]
The probability of the first event with x possible outcomes is equal to x/30. Also, the probability of the second event with y possible outcomes is y/29.

(1) P of 2 digit number, 21/30
      P that the number is 4 is 1/29
Multiplying both probabilities will give us 7/290

(2) P that number is 19 is 1/30
      P that the number is multiple by 4 is 6/29
The answer is 1/145

(3) P that number is 24 is 1/30
      P that number is less than 15 is 14/29
The answer should be 7/435.

(4) P that number 1st number is perfect square is 5/30
   P that second number is perfect square is 4/29.
The answer is 2/87. 
6 0
3 years ago
Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati
miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as ax^2+bx+c=0.

So,

2x^2+3x=-1\\\\2x^2+3x+1=0

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Putting all the values we get :

x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1

So, the roots of the given equation is -1/2 and -1.

5 0
4 years ago
Calculate the total budget and then fill in the missing percentages. You will use some of the answers given more than once. Tota
lutik1710 [3]
Total budget = $13,500

Donations = 12%

Taxes = 12%

Food = 26%

Clothing = 20%

Housing = 10%

and the rest are 5 %
6 0
3 years ago
Read 2 more answers
What is the answer to this 2²/2³​
Contact [7]

Answer:

.5

Step-by-step explanation:

22

23

=

22

23

=

2*2

2*2*2

=

1

2

(Decimal: 0.5)

5 0
3 years ago
Read 2 more answers
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