The **third ordered pair** positive integers that satisfies the** equation **is (**123**, **369**).

The given parameters;

[tex]a^2 + b^2 = 10(123)^2[/tex]The **third ordered pair** of the equation can be determined by using general **equation **of a **circle**;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The **radius **of the **circle **is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The **value **of **a** can be obtained by randomly choosing numbers **less than the radius** as values of **b**.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the **third ordered pair** positive integers that satisfies the** equation **is (**123**, **369**).

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How much must you deposit in an account that pays 6.25% interest, compounded annually, to have a balance of $700 after two years?

= $

The **compound interest **is applied to the remaining balance in the **account **

each subsequent year.

The amount that must be deposited is approximately $620.07**Reasons**:

The given compound interest rate, r = 6.25% =** 0.0625**

The balance in the account after 2 years, A = **$700**

**Required**:

The required deposit, ** P**, that gives the given

**Solution**:

The following is the **compound interest formula **to use;

Where;

t =** 2 years**

We get;

[tex]\displaystyle P = \mathbf{ \frac{A}{(1 + r)^t}}[/tex]

Which gives;

[tex]\displaystyle P = \frac{700}{(1 + 0.0625)^2} \approx \mathbf{620.07}[/tex]

The amount that must be deposited to give $700 after 2 years is P ≈ $620.07Learn more about **compound interest** here:

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13. What is the equation of the line through the two points (5,2) and (5.-3)

**Answer:**

yes i love this app , this app so good

true or false

A political party is a group of people who seek to control government by winning elections and holding office

**Answer:**

True

**Step-by-step explanation:**

Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.

write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)

Answers are highlighted in blue. If you have any questions feel free to ask!

find the maclaurin series of the given function f(x)=ln(1-x)

**Answer:**

[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

**Step-by-step explanation:**

1) the rule is:

[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]

2) according to the rule above:

[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]

finally,

[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...

**Answer:**

**99th**** ****term**** ****is**** ****51**

**Step-by-step explanation:**

Arithmetic sequence equation

a1= first term = 2

d= common difference = 0.5 or 1/2

2, 5/2 = 5/2 - 2 = 0.5 or 1/2

3 - 5/2 = 1/2

7/2 - 3 = 1/2

an = a1 + (n - 1)d

a99 = 2 + (99-1) 1/2

a99= 2 + 98 (1/2)

a99 = 2 + 49

a99 = 51

Need help with Pre college

**Answer:**

check online for more information

What happens to the median of the data set below if the number 10 is added?

{2, 4, 8, 2, 7, 6, 18, 20, 24}

**Answer:**

The median goes up 0.5

**Step-by-step explanation:**

Before the number 10.

Mean x¯¯¯ 10.111111111111

Median x˜ **7**

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 9

Sum 91

Quartiles Quartiles:

Q1 --> 3

Q2 --> 7

Q3 --> 19

Interquartile

Range IQR 16

Outliers none

After 10 is added.

Mean x¯¯¯ 10.1

Median x˜ **7.5**

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 10

Sum 101

Quartiles Quartiles:

Q1 --> 4

Q2 --> 7.5

Q3 --> 18

Interquartile

Range IQR 14

Outliers none

**It goes up .5.**

Use the numbers from the item bank down below to write the value of each expression

**1. Value=206**

2. Value=205

3. Value= 208

4. Value=207

Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of the shorter string, which diagram best represents this scenario?

The** length** of the** shorter string** is** 18 inch** while that of the **longer string** is **30 inch**.

An **equation** is an expression used to show the **relationship **between two or more **variables** and **numbers**.

Let **s** represent the **length** of the shorter string.

One piece is 12 inches longer than the other

Length of longer string =** s + 12**

Since a 48-inch piece of string is cut into two pieces. Hence:

s + (s + 12) = 48

2s + 12 = 48

2s = 36

**s = 18**

Length of longer string = 18 + 12 = **30**

The** length** of the** shorter string** is** 18 inch** while that of the **longer string** is **30 inch**.

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Part D: Your parents put in fencing around the walkway for safety. If 110 feet of

fencing is used, what are the dimensions of the pool? Show your work.

**Answer:**

**Step-by-step explanation:**

Not near enough information to know.

I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)

The pool shape is important as well. No mention of the shape

If the pool is circular and the walkway is 3 ft wide

the fence encloses a diameter of 110/π = 35 ft

so the diameter of the pool would be 35 - 2(3) = 29 ft.

POOL IS RECTANGULAR from comments

If the pool is square and the walkway is 2 ft wide, each side of the fence is

110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.

There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.

Edit from comments

Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.

Let's say that we are told the pool is 12 ft wide with 2 ft walkway.

Let L be the pool length

110 = 2(12 + 2(2)) + 2(L + 2(2))

110 = 32 + 2L + 8

70 = 2L

L = 35 ft

Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr. Schnee is expecting to move back home to Michigan in five years. Using a system of linear equations, help Mr. Schnee decide which offer to take in order to maximize his benefit. Mr. Schnee has already determined that he definitely wants to refinance as he is currently paying $1,744.67.

4.5% Interest Rate for 30 years with a monthly payment of $1,266.71 with $256 Closing Costs

4.0% Interest Rate for 30 years with a monthly payment of $1,193.54 with $10,362 in Closing Costs

The option that best suits him is 4.0% Interest Rate for 30 years with a **monthly payment of $ 1,193.54 **with **$ 10,362 in Closing Costs.**

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following **calculation **must be performed:

A) 4.5%** Interest Rate** for 30 years with a** monthly payment** of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% **Interest Rate** for 30 years with a **monthly payment **of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a** monthly payment of $ 1,193.54** with **$ 10,362 in Closing Costs**.

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You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.

**Step-by-step explanation:**

of course, we have to use Pythagoras.

c² = a² + b²

c is the Hypotenuse = the side opposite of the 90° angle.

and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?

I don't know from the description.

let's see what we get one way or the other :

assumption : the known sides are the "legs".

c² = 9² + 12² = 81 + 144 = 225

c = 15 ft

that is a nice number. so, it looks like that was the intention.

just to be sure, here also the other options :

9² = 12² + side²

81 = 144 + side² that makes side² negative, so, not valid.

12² = 9² + side²

144 = 81 + side²

63 = side²

side = sqrt(63) this is not a nice round number, so, we go with the first option.

therefore, the 3 sides are

9 ft, 12 ft, 15 ft

perimeter = 9+12+15 = 36 ft

area = baseline×height/2

since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.

area = 9×12/2 = 9×6 = 54 ft²

You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)

**Answer:**

Do PRT: 5009.31

**Step-by-step explanation:**

Princable: 5000

Rate: 2.5

Time: 10

Answer:

Write a number using the following clues:

a multiple of 6

greater than 40, but less than 90

**Answer:**

48

**Step-by-step explanation:**

There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)

how many units is -3 2/3 from zero on the number line

**Answer:**

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

**Step-by-step explanation:**

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

Find the volume of the following figure. Use 3.14 for pi. best answer gets brainliest also 100 points

**Answer: 301.44 cubic inches.**

**Step-by-step explanation:**

The formula for the volume of a cone is [tex]V = \pi r^2 \frac{h}{3}[/tex], so by plugging in the radius (6) and height (8), and using 3.14 as pi, you can get 301.44 as the total volume.

Since it is volume, it is in inches cubed, Therefore, the final answer is 301.44 cubic inches.

I hope this helps! :)

What location on the line would you find the constant of proportionality?

**Answer:**

2.4

**Step-by-step explanation:**

The constant of proportionality is y=kx which should 2.4

What is the largest integer whose cube is less than 10,000?

**Answer:**

8 512 =8 X 8 X 8

**Step-by-step explanation:**

.. Write the number word of 0.036???

**Answer:**

zero point zero three six

Question

Round to the nearest ten: 1,078

**Answer:**

7 = 7 * 10 = 70

**Step-by-step explanation:**

**Answer:**

**•**** ****1****0****8****0**

**Step-by-step explanation:**

How to Calculate Rounding to the Nearest Tens Whole Number?

If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.

Example:

1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030[tex] \: [/tex]

In a class of 30 students, 60% like math. How many students: Do not like math?

**Answer:**

12 students

**Step-by-step explanation:**

30×0.4=12.

So if 60% like math the 100-60=40, so 40% dislike math

So you take 40% ad write it as a fraction which is 40 4

—— = ——

100 10

So then you take 4 and divide by the bottom the times by the top like so…

——

10

First divide by the bottom : 30 divided by 10 = 3

Then times by the top : 3 x 4 = 12

Therefore 12 students dislike math!

So you take 40% ad write it as a fraction which is 40 4

—— = ——

100 10

So then you take 4 and divide by the bottom the times by the top like so…

——

10

First divide by the bottom : 30 divided by 10 = 3

Then times by the top : 3 x 4 = 12

Therefore 12 students dislike math!

HELP ME OUT PLEASE

Which symbol makes the sentence true?

**Answer:**

A

**Step-by-step explanation:**

The square root of 50 is less than the square root of 78.

15/4= simplify it please

**Answer:**

[tex]The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .[/tex]

This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction [tex]3 \frac{3}{4} [/tex]

The fraction [tex] \frac{15}{4} [/tex]

is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.

The **fraction **15/4 is equivalent to 3 3/4.

Here, we have,

To simplify the** fraction** 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.

The GCD of 15 and 4 is 1 since there are no **common factors **other than 1.

Dividing both the **numerator **and denominator by 1, we get:

(15 ÷ 1) / (4 ÷ 1) = 15/4

This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).

So, the e**quivalent fraction** is a mixed number which is made up of a whole number (3) and a** proper fraction** 3 3/4.

The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.

To learn more on** fraction **click:

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#SPJ4

What is the value of x? Enter your answer in the

box.

**Answer:**

70⁰ + 30⁰ + x = 180 ( angle sum property (

100⁰ + x = 180

x = 80⁰

Find all the perfect cubes between 1000 and 2000.

There are only 2 perfect cubes in between 1000 and 2000.

11^3 = 1331

12^3 = 1728

11^3 = 1331

12^3 = 1728

DIRECTION: Solve each proportion.

1. 6/15 = n/25

2. 3/5 = 21/n

3. n/12 = 15/30

4.3/n = 12/24n

5. 6/12 = n/72

plss help me :(

**Answer:**

**1. n=10**

**2. n=35**

**3. n=6**

**4. n=0 ? not sure for this one. two variables in the proportion **

**5. n=36**

**Step-by-step explanation:**

set each set of proportion equal to each other and do cross multiplication

hope this helps !

how are you ?

**Answer:**

**Step-by-step explanation:**

Please take a look of the attached photo for the solution.

PLS HELP

The expression 46(1 + x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Match each description to the correct part of the expression.

Question 3 options:

The original price of the meal before tip was added.

The tip percentage written as a decimal.

1.

(1 + x)

2.

x

3.

46

1 + x = 46 (1+ x) your welcome <3

whats -2 - 19t if t=-1

**Answer:**

17

**Step-by-step explanation:**

-2 - 19 x -1

-2 + 19(because two negatives make a positive)

17

**Answer:**

17 is the answer.

**Step-by-step explanation:**

Given:

t = -1Let's substitute.

=> -2 - 19t

=> -2 - 19(-1)

=> -2 - (-19)

=> -2 + 19

=> 17

Therefore, 17 is the answer.

Hoped this helped.

Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12

**Answer:**

maybe it's 12 but i don't know...

The ratio of girls to boys is 5:3 in a class. If there are 15 girls in the class, what is the class size? What is the unit ratio?
HELP WITH THESE 3 QUESTIONS (BRIANLIEST AND 50 POINTS) hint: question 1 is answered (NO LINKS)Amos scored 100 points while playing 3 rounds of a game.Round 1 : 30 pointsRound 2 : 25 pointsRound 3 : ?How many points did he score in round 3?Complete the steps to solve the problem1. What do you need to solve for in this problem? Choose a variable to represent this unknown value. answer: Round 3 = x x + 30 + 25 = 100 2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.3. Solve this equation to find how many points Amos scored in round 3. Show your work.
Use the claim to answer the question. "Claim: Smartphones have a negative impact on today's youth." Which reason supports the claim? (1 point)A Smartphone use leads to a lower attention span***B There has been a decline in the amount of phone calls teenagers makeC Smartphones allow teenagers to access information almost instantlyD Teenagers must charge their smartphone nightly for it to function properly
Which sentence correctly completes this conversation? Juan: Qu ests sirviendo? Pedro: _______________A. Estn sirviendo la comida.B. Estoy sirviendo la comida.C. Est sirviendo la comida.D. Ests sirviendo la comida
WILL GIVE BRAINLIESTWrite the sentence below as an equation or inequality.Craig has six less than half of the amount of dollars Bo has.Group of answer choicesx=y26x=6y2x=2y6x=62y
After the game, the team danced in a huddle.Select one:a. phraseb. independent clausec. subordinate clause
The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:a, 2a, 3a
Write and solve a system of THREE inequalities that models the situation below.Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Please help me with this question,giving the first correct answer brainliest
Which type of mixture can be separated using a sieve? A homogeneous mixture with components of varying sizes A homogeneous mixture with components of the same size A heterogeneous mixture with components of the same size A heterogeneous mixture with components of varying sizes
What percentage of 50 is 12?
You are to paint the globe held aloft by a statue of Atlas. The diameter of the globe is 10.5 in. How much surface area must you cover with paint if 27 square inches does not need to be painted (to the nearest hundredth)?
Factor 42x+28y using the GCF
What do you know about Amy Tan?
who develop computer first?
Miguel tells about his hopes for his trip to El Paso. Complete the paragraph with the correct subjunctive form of each verb in parentheses.Pap quiere que nosotros ____________________ (hacer) un tour de la ciudad.
By looking at the relative positions of the elements calcium, Ca, fluorine, F, sulfur, S, and oxygen, O, in the Periodic Table, which TWO descriptions are TRUE about calcium fluoride, CaF2, and sulfur dioxide, SO2?CaF2 is an ionic compound, and SO2i is a covalent compound.CaF2 is formed by covalent bonds, and SO2 is formed by ionic bonds.CaF2 cannot conduct electricity when dissolved in water, but SO2 can.CaF2 is a gas at room temperature, while SO2 has a high boiling point.CaF2 has a high boiling point, while SO2 is a gas at room temperature.CaF2 is soft at room temperature, while SO2 is hard and forms crystals.
A rectangles perimeter is 86in . Its length is 9in longer than its width. Use an equation to find the rectangles length and width.
Rewrite the following passage correctly using correct future tense:The first sentence is correct and there are five mistakes in the rest of the passage.My mother believes that I will shine in life. She called me an hour ago and I was telling her how I spent my upcoming summer vacation. I have not disappoint her. I have decided that I was working hard from now on. I am sure that by doing so, I have to be successful in life.
ramen or sushi? Because id.k what better