The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
2n - 5 = 11
When n = 3:
2(3) - 5 = 1 ≠ 11
When n = 8:
2(8) - 5 = 11
When n = 9:
2(9) - 5 = 13
When n = 14:
2(14) - 5 = 23
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
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Answer:
3x=15
Step-by-step explanation:
Here's what I found on google about the distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Now for the math-
3(x+5)
distribute the numbers- 3(x)+3(5)
solve- 3*5=15
3x+15
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
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