Answer:
25
y²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length )
A = (5x²y)²
= 5 × 5 × x² × x² × y × y
= 25
y²
The complete question is
The slope of the line below is 0.5 Write the equation of the line in point-slope form, using the coordinates of the labeled point. <span>It's on a number line which is (3,-3) Do not use parenthesis on the y side.
we know that
</span>Point slope form is
<span>y - y₁ = m(x - x₁) </span>
<span>Where m= slope and (x₁, y₁) is a point on the line
</span><span>Plug in m = 0.5 and point (3, -3)
</span><span>y-(-3)=0.5*(x-3)------> y+3=0.5*(x-3)
the answer is
</span> y+3=0.5*(x-3)<span>
</span>
<h2>
Hello!</h2>
The answer is:
The last equation,

<h2>
Why?</h2>
To find which of the given equations represents a line that passes through the point (-9,-3) and has a slope of -6, we need to find an equation that can be satisfied by evaluating the given point.
We can see that the only equation that can be satisfied evaluating the point (-9,-3) is the last equation:

Evaluating the point, we have:



We can see that the equation is satisfied!
Also, we can see that evaluating the point into the other equations, they will not be satisfied.
Let's prove that:
Evaluating:
First equation:

The equation is not satisfied.
Second equation:

The equation is not satisfied.
Third equation:



The equation is not satisfied.
Hence, the correct option is the last option, the equation that represents a line that passes through (–9, –3) and has a slope of –6 is the last equation:

Have a nice day!
Note: I have attached a picture for better understanding.
Answer:
0.7325 to 5.6675 ug/dl
Step-by-step explanation:
The middle 90% will be 45% above the mean and 45% below the mean. This means
0.5-0.45 = 0.05 and
0.5+0.45 = 0.95
We use a z table. Look in the cells; find the values as close to 0.05 and 0.95 as we can get.
For 0.05, we have 0.0505 and 0.0495; since these are equidistant from 0.05, we use the value between them. 0.0505 is z=-1.64 and 0.0495 is z=1.65; this gives us z=-1.645.
For 0.95, we have 0.9495 and 0.9505; since these are equidistant from 0.95, we use the value between them. 0.9495 is z = 1.64 and 0.9505 is z=1.65; this gives us z = 1.645.
Now we use our z score formula,

Our two z scores are 1.645 and -1.645; our mean, μ, is 3.2; and our standard deviation, σ, is 1.5:

Multiply both sides by 1.5:

Add 3.2 to each side:
2.4675+3.2 = X-3.2+3.2
5.6675 = X

Multiply both sides by 1.5:

Add 3.2 to each side:
-2.4675+3.2 = X-3.2+3.2
0.7325 = X
Our range is from 0.7325 to 5.6675.
Combine the like terms
3b-5a
Or -5a+3b if keeping in a certain order