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nlexa [21]
3 years ago
7

Help:

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Step-by-step explanation:

Simplify the matrix.

f

2

x

2

−

2

f

g

x

2

+

g

2

x

2

,

f

(

x

)

=

2

√

x

f

x

=

4

x

,

g

x

=

4

√

x

g

x

=

16

x

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Which idea is most directly related to Lamarck’s beliefs about evolution?
Mariana [72]

Answer:

make me brinliest

Step-by-step explanation:

he sai that evolution occurs because of changes during lifetime passed onto offspring

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Which is larger, a pound or a kilogram? Explain your reasoning.
AlexFokin [52]

Answer:

kg

Step-by-step explanation:

1pound is 0.45kg

5 0
3 years ago
Read 2 more answers
Solve for b2 in A = 1/2 h(b1+b2), if A = 16, h = 4, and b1 = 3. 16= 1/2* 4(3+b2) =6+2b2 or, b2= [16-6]/2= 5
Tatiana [17]
Assuming you are referring to the area of a "trapezoid"; in which one calculates the Area, "A", as follows:
________________________
<span> A = 1/2* h(b1+b2) ;

in which: A = Area = 16 (given); 
               h = height = 4 (given);
               b1 = length of one of the two bases = 3 (given);
               b2 = length of the other of the two bases = ? (what we want to solve                                                                                            for) ;
______________________________________________________
Using the formula: </span>A = 1/2 h(b1+b2) ;
________________________________
Let us plug in our known values:
___________________________
 →  16 = (1/2) * 4*(3 + b2) ;  → Solve for "b2".
________________________________
 →Note: On the "right-hand side" on this equation: "(1/2)*(4) = 2 ." 
________________________________
 So, we can rewrite the equation as:
________________________________
 → 16 =   2*(3 + b2) ;  → Solve for "b2".
________________________________
We can divide EACH side of the equation by "2"; to cancel the "2" on the "right-hand side" of the equation:
________________________________
 → 16 / 2 =   [2*(3 + b2)] / 2  ;  → to get:
___________________________
8 = (3 + b2) ;
_________________
 → Rewrite as: 8 = 3 + b2;
_______________________
Subtract "3" from EACH side of the equation; to isolate "b2" on one side of the equation; and to solve for "b2" :
______________________________
 → 8 - 3 = 3 + b2 - 3 ;  → to get:
_____________________
b2 = 5;  From the 2 (TWO) answer choices given, this value,
"b2 = 5", corresponds with the following answer choice:
____________________
b2= [16-6]/2= 5 ; as this is the only answer choice that has: "b2 = 5".
<span>_________________________________________

As far getting "</span>b2 = 5"  from: "b2= [16-6]/2= 5"; (as mentioned in the answer choice), we need simply to approach the problem in a slightly different manner.  Let us do so, as follows:
<span>_____________________________________
Start from: </span>A = 1/2 h(b1+b2); and substitute our known (given) values):<span>
________________________
</span>→ 16 = (1/2) *4 (3 + b2) ; → Solve for "b2".
_____________________________
Note that: (½)*4 = 2;  so we can substitute "2" for: "(1/2) *4" ; 
and rewrite the equation as follows:
_________________________
→ 16 = 2 (3 + b2) ;
____________________
Note: The distributive property of multiplication:
_________________________
a*(b+c) = ab + ac ;
_________
As such: 2*(3 + b2) = (2*3 + 2*b2) = (6 + 2b2). 
_________________
So we can substitute: "(6 + 2b2)" in lieu of "[2*(3 + b2)]"; and can rewrite the equation:
______________________
→ <span>16 = 6 + 2(b2) ; Now, we can subtract "6" from EACH side of the equation; to attempt to isolate "b2" on one side of the equation:</span>
<span>________________________________________________
 </span>→ 16 - 6 =  6 + 2(b2) - 6 ;
      → Since "6-6 = 0"; the "6 - 6" on the "right-hand side" of the equation cancel.
→ We now have: 16 - 6 = 2*b2 ; 
___________
Now divide EACH SIDE of the equation by "2"; to isolate "b2" on one side of the equation; and to solve for "b2":
____________________
   → (16 - 6) / 2 = (2*b2) / 2 ; 
     → (16 - 6) / 2 = b2 ;
       → (10) / 2 = b2 = 5.
______________
NOTE: The other answer choice given: 
_____________
"<span>16= 1/2* 4(3+b2)= 6+2b2" is incorrect; since it does not solve for "b2".</span>
3 0
3 years ago
Read 2 more answers
At 11:45 A.M. Jason glanced at the clock. His doctor's appointment was in 2 ½ hours. At what time was his appointment
Dafna1 [17]

Answer:

14 : 15 or 2 : 15 pm

Step-by-step explanation:

Time of the appointment = 11: 45 +  2 ½ hours

Jason's appointment is in  2 ½ hours. His appointment is in 2 hours + 1/2 of an hour

1/2 of an hour = 1/2 x 60 = 30 minutes

Remember that 60 minutes make one hour

Time of the appointment = 11:45 + 2:30

 11 : 45

+ <u>2 : 30 </u>

 13 :  75

we would have to adjust the time derived from the addition because the maximum minutes that exist is 60

To adjust, remove 60 minutes from the minutes and add it to the hour

this gives 14 : 15 or 2 : 15 pm

<u />

6 0
3 years ago
(1 point) A random sample of 1600 home owners in a particular city found 736 home owners who had a swimming pool in their backya
grin007 [14]

Answer:

Answer: (0.4356,0.4844)

Step-by-step explanation:

Use Ti 84

use function "1-PropZInt".

Enter x = 736

         n = 1600

         c= 0.95

Answer: (0.4356,0.4844)

3 0
3 years ago
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