How does a person solve this

Mr. Rose is remodeling his house by adding a room to one side, as shown in the diagram below. In order to determine the length of the boards he needs for the roof of the room, he must calculate the distance from point A to point D

Answer:

28n+24

Step-by-step explanation:

3 ( 7 n + 5 n + 8 ) - 8 n

combine 7n and 5n to get 12n

3 ( 12n + 8 ) - 8

distribute 3 to 12n +8

36n+24-8n

combine like terms

28n+24

since ypu cant simply any more it stays like thats

*by the way there is an app that helps with equation and explains the process, its Microsoft Math Solver. hope it helped

A straightforward linear regression study of two or more independent variables will provide a straight line. A curved line may occasionally result from a multiple regression involving a number of linked variables.

What is line of best fit?

The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. The geometric equation for the line is often calculated manually or using software using the least squares approach, also referred to as ordinary least squares, or OLS.

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Answer:

Step-by-step explanation:

The distance between the points (−3, −5) and (−3, −7) is 2 units.

The distance formula gives the shortest distance between two points in a two-dimensional plane.

The distance formula is a useful tool for calculating the distance between two points.

Therefore,

d = √(x₂ - x₁)²+(y₂ - y₁)²

Let's find the distance between the points (−3, −5) and (−3, −7).

Hence,

x₁ = -3

x₂ = -3

y₁ = -5

y₂ = -7

d = √(-3 + 3)² + (-7 + 5)²

d = √(-2)²

d = √4

d = 2

Therefore, the distance between the point is 2 units.

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Answer:

1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000

Step-by-step explanation:

prime factorization is

1000=2*2*2*5*5*5

The value of a and b are 6 and -13.

A function is defined as a relation between a set of inputs having one output each.

We have,

f(x) = ax² + bx + 2 / 2x² - 8

f(x) horizontal asymptote:

y = 3

f(x) has a removable discontinuity:

x = 2

Now,

f(x) has a horizontal asymptote if:

Degree of the denominator = Degree of the numerator

It is given by:

y = coefficient of higher x of the numerator ÷ coefficient of higher x in the denominator

We have,

y = a / 2

3 = a / 2

a = 6

Removable discontinuity at x = 2 means:

Numerator of f(x) = 0

We have,

ax² + bx + 2 = 0

6 x (2)² + b x 2 + 2 = 0

24 + 2b + 2 = 0

2b = -26

b = -13

Thus the value of a and b are 6 and -13.

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Answer:

Two correct answers: subtracting exponents and

3^ 2/9

Step-by-step explanation:

To divide, subtract exponents. To subtract fractions keep the bottom number the same and subtract the top number. See image.

Answer:

1.75

Step-by-step explanation:

The correct numerical expression for "12 times the sum of 5 and 25 minus 2" by simplification is option (b) , i.e 12 x (5 + 25) − 2.

Simplification means simplifying an expression by reducing it to a simpler form. Approximating means simplifying the formula to the nearest value, which is not exactly correct. 

BODMAS stands for Bracket, Off, Division, Multiplication, Addition, and Subtraction. BODMAS is used to describe the order of operations in formulas. In some areas, BODMAS is also known as PEDMAS. This represents parentheses, exponents, division, multiplication, addition, and subtraction. 

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Answer:

12 x (5 + 25) − 2

Step-by-step explanation:

hope this helps!

Answer:

\(6,10\)

Step-by-step explanation:

Method 1:

\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 1:

\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 2:

\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

2.6, 2 3/5, 2 6/10

Step-by-step explanation:

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

Answer:

First equation

from definition of acceleration:

\(a = \frac{change \: in \: velocity}{time} \\ \\ a = \frac{v - u}{t} \\ \\ at = v - u\\ { \boxed{v = u + at}}\)

Second equation

from displacement:

\(s = (average \: velocity) \times time \\ s = ( \frac{v + u}{2} ) \times t \\ \\ 2s = (v + u)t\)

but v is u + at :

\(2s = \{(u + at) + u \} \times t \\ \\ 2s = (2u + at)t \\ 2s = 2ut + {at}^{2} \\ s = \frac{2ut}{2} + \frac{a {t}^{2} }{2} \\ \\ { \boxed{s = ut + \frac{1}{2} {at}^{2} }}\)

third equation

from displacement:

\(s = ( \frac{v + u}{2} )( \frac{v - u}{a} ) \\ \\ 2as = (v + u)(v - u) \\ 2as = {v}^{2} - {u }^{2} \\ \\ { \boxed{ {v}^{2} = {u}^{2} + 2as }}\)

s » displacement

v » final velocity

u » initial velocity

a » acceleration

t » time

Answer:

The answer is given above Hii nitin it's me bhul gye meko Tom,shivi guess kro kon xd

Answer:3 11/14

Step-by-step explanation:im right

Answer:

She Fixed 1 computer but fixed it for two days

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=0.5x+15

We are told she earned $16.50 so

0.5x+15=16.5, subtract 15 from each side

0.5x=1.5, divide each side by 0.5

x=3

So she fixed three computers.

Answer:

9.6%

Step-by-step explanation:

Answer:

strongly skewed right

Step-by-step explanation:

since the sample size is under 30, it will remain skewed right.

The shape of the distribution of the sample mean for all possible random samples of size 10 from this population is strongly skewed right.

It should be noted that sampling simply means the selection process from a particular population.

In this case, the shape of the distribution of the sample mean for all possible random samples of size 10 from this population is strongly skewed right. This is because the sample size is under 30.

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Answer:

2/5

Step-by-step explanation:

Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.

Answer:

\(the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} \)

Since the amount dropped to 1/2 of the initial amount over a period of 7 years, you can assume the half-life is 7 years.

m(t) = m0 (0.5)t/7,

t = years elapsed from the time the amount was m0

In grams,

m(t) = 8 (0.5)t/7

m(8) = 8 (0.5)8/7 g ≅ ? g

Answer:

The answer is going to be A

Step-by-step explanation:

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

The complete order of the inverse function of the function f(x) = x + 5 is:

1. y = x + 5

2. x = y + 5

3. x - 5 = y

4. y = x - 5

The function is given as:

f(x) = x + 5

The opposite of the function f(x) = x + 5 is the inverse of the function.

So, we have:

f(x) = x + 5

Express f(x) as y

y = x + 5

Swap the positions of x and y

x = y + 5

Make x the subject of the formula

x - 5 = y

Rewrite as:

y = x - 5

Hence, the inverse function of the function f(x) = x + 5 is y = x - 5

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Answer:

31.01

Step-by-step explanation:

A= πr^2= π · 3.142 ≈31.01432

Answer:

\(\frac{9344}{45}\)

Step-by-step explanation:

\(\frac{74752}{360}\)

Simplify by 8, and we get

\(\frac{9344}{45}\)

We can't simplify any more, so the answer is  \(\frac{9344}{45}\)

The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.

Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case,  use the Euclidean algorithm.

Let's find the GCD using the Euclidean algorithm:

Divide 74752 by 360:

74752 ÷ 360 = 207 R 272

Divide 360 by 272:

360 ÷ 272 = 1 R 88

Divide 272 by 88:

272 ÷ 88 = 3 R 8

Divide 88 by 8:

88 ÷ 8 = 11 R 0

Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.

Step 2: Divide both the numerator and denominator of the fraction by the GCD.

74752 ÷ 8 = 9344

360 ÷ 8 = 45

The simplified whole fraction is 9344/45.

A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.

Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

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Answer:

Step-by-step explanation:

Discussion

9 with a sister

13 with a brother

7 with neither.

The total is 29 so you are  counting some siblings twice. There are 29 - 25 students that have both, so 4 students have both.

P(brother and sister) = 4/25

P(brother and sister) = 0.16

Answer

P = 0.16

Answer:

length of buyers driving record

Step-by-step explanation:

it just is because the driving record has nothing to do with monthly payments