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inna [77]
3 years ago
15

Math Problem: Half-Life

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0
The third equation is the correct one. After 100 years, about 115 grams will remain.
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What is the exponent in the expression 7^6 ? 6 7 13 42
Illusion [34]
The exponent is 6, since 7^6 is the same as (see picture).

5 0
3 years ago
Read 2 more answers
Can someone help? i cannot get this question right
Blizzard [7]

Answer:

  see below

Step-by-step explanation:

The function f(x) is the absolute value function scaled vertically and shifted up. Neither of those transformations affects the interval on which it is increasing. The absolute value function increases for x > 0. (It is neither increasing nor decreasing at x=0.)

__

The function g(x) is a parabola that opens downward. Consequently, it is increasing for all values of x to the left of its vertex (or line of symmetry). That line of symmetry can be found as ...

  x = -b/(2a) = -(8)/(2·(-1)) = 4

So g(x) is increasing from -∞ to 4, but at x=4 is neither increasing nor decreasing.

__

Then the interval on which both functions are increasing is ...

  {x > 0} ∩ {x < 4} = {0 < x < 4}

This will be graphed as a line between 0 and 4 with open circles at each end.

_____

The second attachment shows the two functions so you can see where their slopes are positive.

5 0
3 years ago
F(x)=5x-1<br> Domain {-1,0,1,2}<br> Find the range:
Katena32 [7]

Answer:

Step-by-step explanation:

Putting the values in F(x)=5x-1

= -6,-1,5,9

Range =highest -lowest =9--6

=15

3 0
3 years ago
What is the equation of a line that passes through (-4, 3) and (6, -2) ?
s2008m [1.1K]
First find the slope
the slope of the line that passes through (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

given
(-4,3) and (6,-2)
the slope is (-2-3)/(6-(-4))=(-5)/(6+4)=-5/10=-1/2

so
the equation of a line tat passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
use (-4,3)
and we found slope=-1/2
y-3=-1/2(x-(-4))
y-3=-1/2(x+4)
if yo want slope intercept form
y-3=-1/2x-2
y=-1/2x+1
if yo want standard form
1/2x+y=1
x+2y=2
8 0
3 years ago
kali has a 6 centimeter ladder and puts the base of the ladder 2 meters away from the tree how high into the tree will the lader
weqwewe [10]
I am going to assume ‘centimetre’ was a typo.

A^2 + B^2 = C^2

C^2 - A^2 = B^2

32 = B^2

Square root both sides

B = 5.7m high

The ladder will reach 5.7 meters high
5 0
3 years ago
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