<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>
<em><u>Solution:</u></em>
Given that,
Price of telescope = $ 400
Mark up = 32 %
To find: Cost after mark up
The formula used is:
<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>
Therefore,
Cost after mark up = 400 + 32 % of 400

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )
1 day = 750 m
1 * 7 = 750 * 7
7 days = 5250 m
Now, since 1 km = 1000 m, this means in order to convert from meters to kilometers you must divide by 1000
5250 / 1000
= 5.25 km
Or, you could do the hard way by going to wolfram alpha / google and typing 5250 m to km.
Hope this helps!
Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


Answer:

It is a perfect square trinomial.
Step-by-step explanation:
The square of a binomial can be solved like this:

We have the expression:

Then, we consider a and b as:

The solution would be:




(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)