Answer:
$11.76
Step-by-step explanation:
We first need to find the amount of plywood for all birdhouses.
2 3/5 * 8 = 104/5 or 20.8 or 20 4/5
Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.
20.8 * 0.56 = $11.648 or estimated $11.65
Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.
21 * 0.56 = $11.76
Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.
Answer:
100
Step-by-step explanation:
Mixed candy question... Skittles jar... to be filled with Jelly beans.
Let's first calculate the volume of the jar. We'll assume it's a regular cylindrical prism jar, unlike the one on the photo which is narrower on top.
V = π * r² * h = π * (3.5)² * 11.5 = 140.875 π = 442.6 cubic cm
Now, we don't have the precise measurement of a jelly bean, but we know it's roughly 2-3 cubic cm. The precision isn't needed to answer this question, just to have a rough idea... it's no 300 cu cm per jelly bean.
So, let's assume a 3 cu cm per jelly bean (2 cu cm wouldn't the final answer)....
442.6 / 3 = 147.5 jelly beans, approximately.
So, can they fit 100,000? No
Can we fit 10,000 in there? No
Can we fit 100? Yes.
Can we fit 1? Certainly
The most reasonable lower-limit would then be 100.
Answer:
2g² + 10g
Step-by-step explanation:
Let the,
Length of the rectangle be " l ".
Base of the rectangle be " b ".
l = 2g
b = g + 5
Formula : -
Area of the rectangle = lb
Area of the rectangle
= 2g ( g + 5 )
= 2g ( g ) + 2g ( 5 )
= 2g² + 10g
Therefore,
the area of a rectangle whose sides measure 2g and ( g + 5 ) is 2g² + 10g.
Answer:
Slope of the Curve: 
Equation of Tangent Line: y + 3 = -3/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Quotient Rule: ![\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5D%3D%5Cfrac%7Bg%28x%29f%27%28x%29-g%27%28x%29f%28x%29%7D%7Bg%5E2%28x%29%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Take Derivative</u>
- Quotient Rule:
- Multiply:
- Subtract:
<u>Step 3: Find Instantaneous Derivative</u>
- Substitute in <em>x</em>:
- Exponents:
- Simplify:
This value shows the slope of the tangent line at the exact value of x = 2.
- Substitute: y + 3 = -3/2(x + 2)
