Answer:
<h3>p = 131.25</h3>
Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
<h3>

</h3>
So the formula for the variation is
<h2>

</h2>
when
T = 500
Substitute it into the above formula
That's

Simplify
The final answer is
<h3>p = 131.25</h3>
Hope this helps you
Answer:
a
Step-by-step explanation:
i did this in middle shoool
hehe
Answer:
x= -5, -12
Step-by-step explanation:
Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
_____
<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
Answer:
About 36%.
Step-by-step explanation:
The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.
The total value is $1,500. The initial cost is $1,100.
(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636
So, Dean's rate of return on investment is about 36%.
Hope this helps!