Answer:
no. see below
Step-by-step explanation:
This much of Josh's working is correct:
x^2-6x=7
x^2-6x+9=7+9
(x-3)^2=16
At this point Josh apparently overlooked the fact that he needed to take the square root of both sides of the equation. Had he done that, he would have ...
x -3 = ±4
x = 3+4 . . . or . . . 3 -4
x = 7 or -1
_____
Josh reported values of x that would match ...
x -3 = ±16
He <em>violated the equal sign</em> by taking the square root on the left, and multiplying by ±1 on the right. Doing different operations on the two sides of the equation will mean the value of x is changed to something other than what you're looking for.
Answer:
45^0.999
Step-by-step explanation:
The bases are equal so we wont divide them, we shall only divide the exponents.
<em>2799/2800=0.999</em>
<em>hope it helps</em>
Answer: m<4 = 117 degrees
Step-by-step explanation:
Knowing that angle 1 is 63 degrees, we can look at the other angle on the same side of the line, angle 4.
Angles on one side of a line add to 180 degrees.
180 - 63 = 117
Unknown side length of two similar triangles can be found out by scale factor and any of the side lengths.
Step-by-step explanation:
The similarity is one of the criteria of triangles. Two triangles are similar when their respective sides are in similar ratio or proportion. In layman’s term, it can be understood as a condition in which two triangles have similar shapes but not similar sizes.
If ΔABC is similar toΔ XYZ, then their respective sides would be in proportion to each other.
This means AB/XY=AC/XZ=BC/YZ
This common ratio is often termed as “scale factor”
Hence any sides length can be found out if either of the terms (i.e. scale factor, side ) is given.
Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×
.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×
.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡ 
and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100×
= 10 %
=
= ㏑ = ㏑()
= 
×㏑
= ㏑()
= 
= 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×
