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Lubov Fominskaja [6]
3 years ago
11

What is the number of terms in this geometric series? 1+2+4+...+64

Mathematics
1 answer:
ioda3 years ago
4 0

Answer:

7

Step-by-step explanation:

1,2 ,4,8,16,32,64

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An engineer makes different-size samples of a new material.
miv72 [106K]

Answer:

The mass of 100 cubic centimeters of the material would be  

1,000 grams.

The mass of 500 cubic centimeters of the material would be  

5,000 grams.

Step-by-step explanation:

3 0
3 years ago
Write a word problem for this inequality <br> 72-12a&lt;24
dusya [7]
Think of absolute value and inverse operation, +72 to 72 and 24
5 0
3 years ago
What segment is congruent to AC?<br> A. BD<br> B. BE<br> C. CE<br> D. none
Phoenix [80]
You can find the segment congruent to AC by finding another segment with the same length. So first, you need to find the length of AC.

   C - A = AC
0 - (-6) = AC   Cancel out the double negative
  0 + 6 = AC
        6 = AC

Now, find another segment that also has a length of 6.

   D - B = BD
2 - (-2) = BD   Cancel out the double negative
  2 + 2 = BD
        4 = BD
        4 ≠ 6

   E - B = BE
4 - (-2) = BE   Cancel out the double negative
  4 + 2 = BE 
        6 = BE
        6 = 6

So, the segment congruent to AC is B. BE . 
8 0
3 years ago
The sum of two numbers is 47 and the difference is 25 . what are the numbers?
taurus [48]
The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

Solve for "y" in terms of "x" ;

  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

to get:

   y = 25 + x .

Now, since:

  x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x  = 22  ;

Divide EACH SIDE of the equation by "2" ;
 to isolate "x" on one side of the equation; and to solve for "x" ; 
 
2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
  to isolate "y" on one side of the equation; and to solve for "y" ;

 11 + y − 11 =  47 − 11  ;

            y = 36 .
___________________________________________
So:  x = 11 , y = 36 ;
___________________________________________
 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are:  36 and 11 .
______________________________________________
5 0
3 years ago
Student A has a probability of 0.9 of solving a problem while student B has a probability of 0.6 of solving the problem. What is
Vilka [71]

answer

0.54

explanation

since student A and student B are independent of each other, we multiply their individual probabilities to get the probability of both solving the problem

A * B

= 0.9 * 0.6

= 0.54

there is a 0.54 probability that both will solve the problem

6 0
3 years ago
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