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Ksenya-84 [330]
3 years ago
13

Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what

is the circumference of Earth? (Use 3.14 for π)
Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer: Circumference of Earth= 25120 miles

Step-by-step explanation:

Given: The circumference of a circle can be found using the formula C = \pi d, where d= diameter of the circle.

Earth's diameter = 8000 miles (approx)

The circumference of circle = 3.14\times 8000  [substitute values in formula]

The circumference of circle = 25120 miles (approx)

Hence,  the circumference of Earth= 25120 miles (approx)

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An equation that represents the path of a diver jumping off a diving board is y = –7x2 + 5x + 16. Graph this function from the p
ANTONII [103]

Answer:

See explanation

Step-by-step explanation:

An equation that represents the path of a diver jumping off a diving board is

y = -7x^2 + 5x + 16.

The diver jumped to the water when x = 0.

Then

y=-7\cdot 0^2+5\cdot 0+16=16

The jumper reached the water when y = 0, then

-7x^2+5x+16=0\\ \\D=5^2-4\cdot (-7)\cdot 16=25+448=473\\ \\x_{1,2}=\dfrac{-5\pm\sqrt{473}}{-14}

So, point where the  jumper reached the water is

\left(\dfrac{5+\sqrt{473}}{14},0\right)\approx (1.93,0)

7 0
4 years ago
The population of a city in 2000 was 500,000 while the population of the suburbs of that city in 2000 was 700,000. Suppose that
Mnenie [13.5K]

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

  • 6% of the city's population moves to the suburbs (and 94% stays in the city).
  • 2% of the suburban population moves to the city (and 98% remains in the suburbs).

The migration matrix is given as:

A= \left \begin{array}{cc}  \\ C \\S \end{array} \right\left[ \begin{array}{cc}  C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]

The population in the  year 2000 (initial state) is given as:

\left[ \begin{array}{cc}  C&S\\ 500,000&700,000  \end{array} \right]

Therefore, the population of the city and the suburb in 2002 (two years after) is:

S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\&  \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2

A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]

Therefore:

S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\&  \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

6 0
3 years ago
PLS PLS PLS PLS HELP ASAP!! WILL MARK BRAINLIEST!
grandymaker [24]

Answer:

1. D

2. y = 15.50x + 450

Step-by-step explanation:

1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.

2. x  > (y - 450)/ 15.50

i) Rita gets paid $450 per week.

ii) She gets $15.50 for every new membership she sells.

iii) let y represent the total pay per week.

iv) let x represent the number of new memberships sold.

v) the equation representing total pay is y = 15.50x + 450.

vii) therefore the equation that represents a higher rate of membership sold is given by  x  > (y - 450)/ 15.50

8 0
3 years ago
Avery paid a $5.00 entrance fee to the carnival
Anna007 [38]
Let’s start off by subtracting 5 from 10 leaving 5 dollars

if 6 tickets cost 3 dollars she can only buy 6 tickets because she will only have 2 dollars left
3 0
3 years ago
How tall will the average meerkat be when it is 12 months old?
kotykmax [81]

Answer:

the average height is 12 inches but i would say A to round down

3 0
4 years ago
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