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2 years ago

Write the equation of the circle with center of 10-2 and a radius of 7

Mathematics

1 answer:

True [87]2 years ago

6 0

Answer:

(x-10)^2 + (y-2)^2 = 49

Step-by-step explanation:

I'm assuming that 10-2 means (10,2)

Equation of circle:

(x-a)^2 + (y-b)^2 = r^2

Plugging in the values that we know:

(x-10)^2 + (y-2)^2 = 7^2

(x-10)^2 + (y-2)^2 = 49

Hope this helps!

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Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets $30 c

Marina CMI [18]

Answer:

The number of same-day tickets sold is 15

The number of advance ticket sold is 20

Step-by-step explanation:

Given as :

The cost of each Advance ticket = $35

The cost of each same-day ticket = $30

The total cost of the tickets sold = $1150

The total number of tickets sold = 35

Let The number of advance ticket sold = a

And The number of same-day ticket sold = s

Now, According to question

The total number of tickets sold =The number of advance ticket sold + The number of same-day ticket sold

I.e a + s = 35 .....A

The total number of tickets sold = The cost of each Advance ticket × The number of advance ticket sold + The cost of each same-day ticket × The number of same-day ticket sold

I.e $35 a + $30 s = $1150

or, 35 a + 30 s = 1150 .......B

Now, solving eq A and B

35 × ( a + s) - ( 35 a + 30 s ) = 35 × 35 - 1150

or, ( 35 a - 35 a ) + ( 35 s - 30 s ) = 1225 - 1150

or, 0 + 5 s = 75

∴ s = $\frac{75}{5}$

I.e s = 15

So, The number of same-day tickets sold = s = 15

Put the value of s in Eq A

So, a + 15 = 35

∴ a = 35 - 15

I.e a = 20

So, The number of advance ticket sold = a = 20

Hence The number of same-day tickets sold is 15

And The number of advance ticket sold is 20 Answer

7 0

3 years ago

The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the funct

Dovator [93]

Answer:

a) Sketch the graph of the function f. (it is in the attached file)

b) What was the ratio at the beginning of 2006? At the beginning of 2014?

For 2006 the ratio is 3.92

For 2014 the ratio is 3.5

c) Over what years is the ratio constant?

[1995, 2000]

d) Over what years is the decline of the ratio greatest?

[2010, 2030]

Step-by-step explanation:

b) We first need to know in between which function 2006 falls into, so if we start in t=0=1995, then 2006-1995=11, t=11

t=11 fall into:

$f(x)=-0.03t+4.25$

$f(11)=-0.03(11)+4.25=3.92$

For 2006 the ratio is 3.92

2014:

Same process that 2006, t=0=1995, then 2014-1995=19, t=19

t=19fall into:

$f(x)=-0.075t+4.925$

$f(19)=-0.075(11)+4.925=3.5$

For 2014 the ratio is 3.5

c) The ratio is only constant in the first section of the graph 0≤t<5, since 4.1 is constant. Following the same process for the years in star (b) we have t=0, 1995+0=1995, t=5, 1995+5=2000.

The ratio will be constant between [1995, 2000]

d) For the greatest decline we need to compare slopes. From the line equation we have:

$y(x)=mx+b$ where m is the slope and b is the point the line intersects with the y axis. Here we have:

$f(x)=-0.03t+4.25$ for 5≤t<15

$f(x)=-0.075t+4.925$ for 15≤t≤35

So:

m=-0.03 for 5≤t<15

m=-0.075 for 15≤t≤35

If we are measuring the steepness of the decline, we have to compare:

|-0.03| and |-0.075| or 0.03 and 0.075, easily finding that 0.075>0.03

And doing the sames process for the years in question (c):

t=15, 1995+15=2010, and t=35, 1995+35=2030

This means that the biggest decline is between the years:

[2010, 2030]

3 0

3 years ago

Akshay purchased goods costing ₹5,00,000 and sold at 20% profit on cost. Calculate the selling price of goods.

andrey2020 [161]

Answer:

the selling price of the goods is ₹6,00,000

Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

Selling price = Cost price + profit

= 5,00,000 + 5,00,000 × 0.20

= 5,00,000 + 1,00,000

= ₹6,00,000

Hence, the selling price of the goods is ₹6,00,000

6 0

2 years ago

Change 25/6 to mixed fraction

alex41 [277]

Answer:

$4\frac{1}{6}$

Step-by-step explanation:

To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is $4\frac{1}{6}$ .

5 0

3 years ago

Find the 20th term in the sequence, where the first term is -2 and the common ratio is-2.

geniusboy [140]

Answer:

Step-by-step explanation:

(1)

a1=-2

r=-2

$a_{20}=(-2)(-2)^{20-1}=-2(-2)^{19}=2^{20}=1048576\\(2)\\a_{1}=1000\\r=\frac{200}{1000} =\frac{1}{5} \\a_{8}=1000(\frac{1}{5} )^{8-1}=1000(.2)^7=0.0128\\(3)\\a_{1}=2\\a_{3}=50\\a_{2}=\sqrt{2*50} =10\\r=\frac{10}{2} =5$

6 0

2 years ago