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Pani-rosa [81]
3 years ago
7

The plot below shows the length of each of the 7 bulletin boards hanging in the fifth grade hallway. All measurements are rounde

d to the nearest 1/2 fraction meter.If the 3 longest bulletin boards were side by side, what would their total length be?
Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

Total = 11m

Step-by-step explanation:

Given

See attachment for dot plot

Required

The length of the 3 longest boards

From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2

<em>The frequency is gotten by counting the total dots on each length. </em>

So, the total is:

Total = 4 m* 1 + 3\frac{1}{2} m* 2

Total = 4m + 7m

Total = 11m

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Answer

Find the volume of the coin is cubic millimeters.

To prove

Formula

Volume\ of\ cylinder\ = \pi r^{2} h

Where r is the radius and h is the height .

As given

The $1 coin depicts Sacagawea and her infant son.

The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.

Radius = \frac{Diameter}{2}

Radius = \frac{26.5}{2}

Radius = 13.25 mm

\pi = 3.14

Put in the formula

Volume  of  coin  = 3.14 × 13.25 × 13.25 × 2.00

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Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and
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Answer:

A. g'(3)=-\frac{1}{2}

Step-by-step explanation:

We have been given that f be a differentiable function such thatf(3)=15, f(6)=3, f'(3)= -8, and f'(6)= -2. The function g is differentiable and g(x)= f^{-1} (x) for all x.

We know that when one function is inverse of other function, so:

g(f(x))=x

Upon taking derivative of both sides of our equation, we will get:

g'(f(x))*f'(x) =1

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g'(f(6))=\frac{1}{f'(6)}

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