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Pie
3 years ago
14

What is equivalent to 3squareroot of 8^x

Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

3 * 8^(x/2)

Step-by-step explanation:

The third answer choice is the correct one.

Here's how:

3squareroot of 8^x = 3√(8^x)  = 3*(8^x)^(1/2)  =  3 * 8^(x/2)

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PLS TELL ME HOW THIS TRICK WORKED!! I HAVE TO SUBMIT KT SOON!
madreJ [45]

Answer:

x=2

Step-by-step explanation:

let the unknown number be x

now we are to find x regarding the question as an equation, let's form the equation to solve for x

the interpretation of the question is:

(x² + x)/3 = x

by collecting the like terms:

(x²+ x) = 3x

x² + x = 3x

x² = 3x - x

x² = 2x

x = 2

8 0
3 years ago
Read 2 more answers
Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o
Art [367]

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

4 0
3 years ago
What is the area of this shape?<br><br> A.108<br> B.216<br> C.60<br> D.432
Papessa [141]

Answer:

216

Step-by-step explanation:

8 0
2 years ago
The sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. What is the number?
likoan [24]

Answer:

4

Step-by-step explanation:

if the required number is 'x', then the sum of 2 times the number and 10 is 2x+10; the difference of the number and 1 is x-1. Using these two equation it is possible to make up the common one:

2x+10=6(x-1);

4x=16;

x=4.

7 0
3 years ago
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
const2013 [10]

Answer:

Perimeter of rectangle = 6√26 or 30.59 units

Step-by-step explanation:

Let the rectangle ABCD

so, co-ordinate of A= (-6,4) = (x1,y1)

co-ordinate of B= (4,2) = (x2,y2)

co-ordinate of C= (3,-3) = (x3,y3)

co-ordinate of D= (-7,-1) = (x4,y4)

In rectangle ABCD

AB = CD ( opposite sides of rectangle are equal)

and, AD = BC ( opposite sides of rectangle are equal)

Now, using distance formula

AB = √(x2-x1)² + (y2-y1)²

     =√(4-(-6))²+ (2-4)²

     =√(4+6)² + (-2)²

     =√(10)² + (4)

      =√100+4

      =√104

      =2√26 units

so,AB = CD = 2√26 units

again,by using distance formula

     BC = √(x3-x2)² + (y3-y2)²

           =√(3-4)² + ( -3-2)²

           =√(-1)² + (-5)²

           =√1 + 25

           =√26 units

so, AD = BC =√26 units

Now,

  Perimeter of rectangle = 2(length of rectangle+breadth of rectangle)

    =2(2√26 + √26)           (AB =CD = 2√26 units & AD = BC = √26 units)

    =2.3√26

     =6√26 units

Answer is 6√26 or 30.59 units

4 0
3 years ago
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