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Tema [17]
3 years ago
6

Some people took part in a game. The frequency shows information about their scores.

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0
80
117
169
180
448
817
=
1811 / 91

19.901 and that rounded to 2 decimal places is 19.9
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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


3 0
3 years ago
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y
jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3

7 0
3 years ago
Which of the following is the best estimate of the circumference of a circle that has a diameter of 7 feet? 42 ft 21 ft 14 ft 11
11Alexandr11 [23.1K]

Answer:

21 ft

Step-by-step explanation:

Hope it helps

3 0
2 years ago
Read 2 more answers
Angle P measures 112 degrees, what are the measures of angle N and O?
Oxana [17]
The inside angles of a triangle need to equal 180 degrees
 in this triangle the lines NP and OP are identical so the 2 unknown angles would be equal
 so the 2 unknown angles would be 180 - 112 = 68 / 2 = 34 each
 angle N & O are 34 degrees


7 0
3 years ago
What does 6/2(1+2)= <br> need help
Zina [86]

▪ Answer:

9

▪ Step-by-step explanation:

Hi there !

6/2(1 + 2) =

= 3/1 × 3

= 3×3/1

= 9

Good luck !

7 0
3 years ago
Read 2 more answers
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