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:
10/9
Step-by-step explanation:
So first you have to convert 5 to a fraction. 5/1 is equal to 5 so that means that 5/1 can work. 5/1x2/9=10/9 because all you have to do is multiply the numerator with the numerator and the denominator with the denominator.
Hope this helps
Answer:
The answer to your question is: 16x + 3
Step-by-step explanation:
Step 1 : f(x) = 8x² + 3x
f(x +h) = 8(x + h)² + 3( x + h)
f(x + h) = 8( x² + 2xh + h²) + 3( x + h)
f (x + h) = 8x² + 16xh + 8h² + 3x + 3h
Step 2 f(x+h) - f(x) = 8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)
= 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x
= 16xh + 8h² + 3 h
Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h
= 16x + 8h + 3
Step 4 lim f(x + h) - f(x)/ h = lim 16x + 8h + 3 = lim 16x + 8(0) + 3 = 16x + 3
h ⇒0 h ⇒0 h ⇒0
Total length of the fabric is 
We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.
Let she needs x scarves. So, ATQ
Hence, she can make 8 scarves.
Answer:
4√73
Step-by-step explanation:
x^2= 12^2 + 32^2
x^2= 144+ 1024
x^2=1168
x= 4√73