A circle has radius 5 units and the equations of its two diameter are 2x-y=5 and x-3y+5=0.find the equations of the circle and show that it passes through the origin.​

Answer:

After 10 years , the number of residents in the community = 100,007.45

Step-by-step explanation:

Let P be the population of a farming community.

As we know that,

Exponential Growth model is :

P(t) = P₀[tex]e^{kt}[/tex]      ........(1)

where P₀ is the initial state , k is the growth constant.

As given,

A farming community begins with one resident.

⇒At t = 0 , P(t) = 1

∴ Put t = 0 in equation (1), we get

1 = P₀[tex]e^{0}[/tex]

⇒1 = P₀

∴  equation (1) becomes

P(t) = [tex]e^{kt}[/tex]    ......(2)

As given, every year, the number of residents multiplies by 10

⇒At t = 1 , P(t) = 10

∴ Put t = 1 in equation (2), we get

10 = [tex]e^{k}[/tex]

Taking ln both side we get

ln(10) = ln([tex]e^{k}[/tex] )

⇒2.3026 = k

∴  equation (2) becomes

P(t) = [tex]e^{2.3026t }[/tex]

Now, we have to find the population at t = 5

⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]

So, we get

After 10 years , the number of residents in the community = 100,007.45

Answer: y= X+3

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y- intercept

Answer:

140

Step-by-step explanation:

just mutiply 35 by 4, thats h0w i g0t it anyways, h0pe this helped :)

Answer:

its 140 in 4 hours

Step-by-step explanation:

hope this helps!

Answer:

254.34 mm².

Step-by-step explanation:

For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.

[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]

Therefore, the area of either face of the coin is 254.34 mm².

I hope this helps!

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

Answer:

81

Step-by-step explanation:

its square shaped so that means all sides are equal and to find the area its length * width and if all sides are 9 then 9*9 = 81

Answer:

If tip goes only on amount but not on tax: $44.38

If tip goes on total including tax: $44.81

Step-by-step explanation:

If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.

tax + tip = 5.8% + 21% = 26.8%

100% + 26.8% = 126.8% = 1.268

1.268 * $35 = $44.38

If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.

Bill before tax: $35

Add 5.8% tax: 1.058 * $35 = $37.03

Add tip to the amount including tax: 1.21 * $37.03 = $44.81

Answer:

$3.90

Step-by-step explanation:

To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.

Answer:

use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.

Answer:

750/100 X 7 = 52.50

52.50 X 3 = $157.50

Step-by-step explanation:

divide principal amount by 100 then multiply by interest percentage. this gave 52.50

now multiply the interest amount by number of years

in this case 3

52.50 X 3 = $157.50

Answer: 1%

Step-by-step explanation:

Let x be the sale price.

Commission  = 6.5% of x = 0.065x  (Before discount)

Discount amount = 10% of x = 0.1x

Final sales price = x- 0.1x = 0.9x

Commission after discount = 6.5% of (0.9x)

= 0.065 (0.9x)

= 0.0585x

Loss = ( Commission before discount ) - (Commission after discount )

= 0.065x - 0.0585x

= 0.0065x

Loss percent = [tex]\dfrac{0.0065}{0.65}\times100=1\%[/tex]

Hence, the salesperson lose 1% when they decided to offer a 10% discount on the price of the car.

The sales person lost a commission of 10%.

To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849

Answer: 76

Step-by-step explanation:

If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.

Answer:

140 green buttons

Answer:

Option B is correct.

Step-by-step explanation:

Total bill = $48

Tip = 20%

Amount of tip = 20% of 48

Amount = [tex]\frac{20}{100}*48[/tex]

Amount = 0.2 * 48

Amount = $9.60

Total bill with tip = 48 + 9.60 = $57.60

Dividing by 2 as they are spliting the bill.

Each pays = [tex]\frac{57.60}{2}=28.80[/tex]

Therefore,

Option B is correct.

Answer:

It's A on edge

Step-by-step explanation:

Answer:

A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot

Step-by-step explanation:

bc im taking test :)

Answer:

The prove is explained below:

Step-by-step explanation:

The computation is given below:

Here we needed two equations

Let us assume x = 0.555 --------------- (1)

Now if multiplied it by 10 to the both sides

So, it would be

10x = 5.555............(2)

Now deduct equation 1 from equation 2 in order to remove the recurring decimals  

(10x - x) = (5.5555 - 0.5555 )

9x = 5 (divided the both sides by 9 )

So x = 5 by 9

The answer to (3x + 4) - (x + 2) is

2(x + 3).

(3x + 4) - (x + 2) = 2(x+3)

Answer:

2x + 2 is the answer.....

Answer:

The volume of the box is 1630.72

Step-by-step explanation:

11.2x11.2x13= 1630.72

✩brainliest appreciated✩

Answer:

If everyone contributed to the bill, everyone would have had to pay 6 dollars each.

Step-by-step explanation:

You take 42, divide it by 7 to get 6.

Answer:

-8 is the answer.

Step-by-step explanation:

3 - (-8) = 11

The negatives cancel to become a +

3 + 8 = 11

Think of 3 positive things and 8 negative things.

O O O  

O O O O O O O O

3 of the positive things will add onto the 8 positive things, resulting in 11  

#teamtrees #WAP (Water And Plant)

[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]

[tex]3 - 14 = 11[/tex]

Answer:

K=2

Step-by-step explanation:

I es Smrt

Answer: B.) $6,000

Step-by-step explanation:

The equation shows how much Jordan has to pay per month until he is finished paying the loan.

This is a linear equation in the form: y = mx + c

y is the amount left to be paid

m is the change per month which means it is the amount paid per month

x is the independent variable that is changed which means it is the no. of months

c is a constant figure which in this case would be the amount borrowed.

With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.

The original amount of loan must therefore be:

= $6,000

Answer: B.

Step-by-step explanation:

4x + 8y = 2(4y + 2x)

Answer:

B

Step-by-step explanation:

A. 4 (2x + y)

8x + 4y ( So not this! )

B. 2(4y + 2x)

8y + 4x ( This is right! )

C. 4(2x + 4y)

8x + 16y ( So not this! )

D. 8 (y + 2x)

8y + 16x ( So not this! )

Answer:

12

Step-by-step explanation:

tangent opposite/adjacent. tan(29)=x/22. separate x, and you get 22tan(29), which is 12.

Answer:

Holly will still pay 86% of the original price.

Step-by-step explanation:

Given

To determine

What percent of the original price will still pay.

All we need is to subtract the percentage of discount from 100.

i.e.

100 - Discount = 100 - 14 = 86%

The amount left over would be what remains of the original price after Holly gets 14 % off a shirt.

Thus, Holly will still pay 86% of the original price.