the lengths of nails with the following penny sizes: 3, 6, and 10
- A 3-penny nail is_5/4_inches.
- A 6-penny nail is_2_inches.
- A 10-penny nail is_3_inches.
This is further explained below.
<h3>What is the lengths of nails with the following penny sizes: 3, 6, and 10?</h3>
That is the equation solved for n.
The penny size is d, and n is the length of the nail, then:
if d = 3, we have:
n = (3 + 2)/4 = 5/4
if d = 6, then
n = (6 + 2)/4 = 2
if d = 10, then:
n = (10 + 2)/4 = 3
Thus:
A 3-penny nail is_5/4_inches.
A 6-penny nail is_2_inches.
A 10-penny nail is_3_inches.
if you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
The correct answer is option 3
2⁻¹⁰ and 1/1024
Step-by-step explanation:
Points to remember
1). ( xᵃ)ᵇ = xᵇ
2). x⁻ᵃ = 1/xᵃ
It is given that, (2⁵)⁻²
<u>To find the equivalent of (2⁵)⁻²</u>
(2⁵)⁻² = 2⁻¹⁰
<u>To find the value of 2⁻¹⁰</u>
2⁻¹⁰ = 1/2¹⁰
2¹⁰ = 1024
1/2¹⁰ = 1/1024
Therefore the correct answer is 3rd option
2⁻¹⁰ and 1/1024
2x=8
2y=-6
=2
The answer is 2
y = 4x+5 is in the form y = mx+b which is slope intercept form. Anything in y = mx+b form is linear. It graphs out a straight line.
Contrast this with y = x^2 which is nonlinear because it graphs a curve that isnt a straight line. All quadratics like this graph out a parabola which resembles a bowl shaped curve.
(2x+1)=Jeremy´s age
(2x+3)=Sam´s age.
we suggest this equation:
(2x+1)(2x+3)=783
4x²+6x+2x+3=783
4x²+8x-780=0
x²+2x-195=0
We solve this quadratic equation:
x=[-2⁺₋√(4-4*1*(-195))]/2=(-2⁺₋28)/2
x₁=(-2-28)/2=-15 this solution is not valid.
x₂=(-2+28)/2=13
Jeremy´s age=2x+1=2*13+1=27
Sam´s age=2x+3=2*13+3=29
