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OleMash [197]
3 years ago
13

HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE R

ANGE OF THE BASEBALL IS 9 TO 9.25 INCHES
Mathematics
1 answer:
Shkiper50 [21]3 years ago
8 0
Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624

For baseballs of 9 inches:
9=2\pi r \\  \\ r= \frac{9}{2\pi}

Volume = \frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31

Number of 9 inches baseballs = \frac{3,071,630.624}{12.31} = 249,513

For baseballs of 9.25 inches:
9.25=2\pi r \\  \\ r= \frac{9.25}{2\pi}

Volume = \frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37

Number of 9.25 inches baseballs = \frac{3,071,630.624}{13.36} = 229,824

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.
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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
3 years ago
Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram.
Alexxandr [17]

Answer:

222.51 (when rounded)

Step-by-step explanation:

Pi x r squared is the formula to find the area of a circle

153.94 + 12.57 + 56

= 222.51

You basically find the area of each circle by find their diameters. So half of the length shown on each circle.

7 0
2 years ago
If a and b are rational numbers and 6/(3√2-2√3 ) = a √2-b √3 , then find the values of a and b.
eduard

Answer:

=3–√−13–√+1⋅3–√−13–√−1

=(3–√−1)23–√2−12

=3–√2+12−23–√3−1

=4−23–√2

2−13–√

a=2,b=−1.

Step-by-step explanation:

6 0
3 years ago
If 60% of the registered voters cast 270,000 votes in an election how many registered voters are there. In another election 70%
quester [9]
60% of 270,000 is 162,000. 70% of 315,000 is 220,500. There is 58,500 more at the second election than the first.
3 0
3 years ago
Sheila predicts that 480 people will attendthe fall concert. There was an actual total of 350 people who attended the fall conce
iris [78.8K]

Answer:

27 %

Step-by-step explanation:

Given that Sheila predicts that 480 people will attendthe fall concert and There was an actual total of 350 people who attended the fall concert.

We know that

Percent error = \frac{people present-predicted people}{predicted people}\times100

Percent error = \frac{480-350}{480}\times100

Percent error = 27 %

5 0
3 years ago
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