A fitted linear regression equation is y = 6-2x. If × - 3 and the corresponding observed value of y = 2, the residual at this observation is:

The dimensions of the rectangular paint of perimeter 104.09 inches are given as follows:

The perimeter of any polygon, including a rectangle, is given by the sum of all the lengths of the outer edges of the figure.

Hence, for a rectangle of height h and width w, the perimeter is given by twice the sum of these dimensions, hence it is given as follows:

P = 2(h + w).

In this problem, the perimeter has the value given as follows:

P = 104.09 inches.

Hence:

2(h + w) = 104.09

h + w = 104.09/2

h + w = 52.045 inches.

The painting is 5.72 inches taller than it is​ wide, hence:

h = 5.72 + w.

Then the height is obtained as follows:

5.72 + w + w = 52.045

2w = (52.045 - 5.72)

w = (52.045 - 5.72)/2

w = 23.16 inches.

Then the height of the rectangular painting is given as follows:

h = 5.72 + w = 5.72 + 23.16 = 28.88 inches.

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Answer:

70

Step-by-step explanation:

8 - 1 = 7

7 x 10 = 70

He used 70 sheets.

Answer:

$235.20

Step-by-step explanation:

the tax :

[tex] \frac{12}{100} \times 210 = 25.20[/tex]

total cost :

$210 + $25.20 = $235.20

Answer:

exterior angle = 139°

(I'm using "X" instead of "2")

to find the exterior angle, find the interior angle first and then use the straight line.

interior angle = 180° therefore,

75° + 64° + X = 180

139° + X = 180°

X = 180° - 139°

X = 41° (not the answer)

a straight line = 180°

X = 41°

Y - the exterior angle

41° + Y = 180°

Y = 180° + 41°

Y = 139°

hope this is clear :)

Answer:

y(3xy-2x+1)

Step-by-step explanation:

I'm pretty sure it'd be y(3xy-2x+1).

Answer:

3xy²-2xy +y

Step-by-step explanation:

15x²y³-10x²y² +5xy² = 5xy(3xy²-2xy +y)

then

5xy(3xy²-2xy +y) / 5xy = 3xy²-2xy +y

Answer:

The average rate of change is: -4

Step-by-step explanation:

So to solve this we just need to plug our numbers into the formula. We are using the formula f(b) - f(a)b - a where “a” and “b” are our numbers. So we are given the intervals x=2 and x=5. When we see that we can rewrite it as (2,0) and (5,0). This is because when it is telling us just “x” we know “y” (the second number in the parentheses) is 0. So just plugging in the numbers we get: (-(5)2+3(5)+1)-(-(2)2+3(2)+1)(5 - 2). Solving it we get -4.

Answer:123

Step-by-step explanation:

31231231232131

The points on the graph of the given function at the value f(x)=3 would be x=5.0971 and x=1.5695.

What is a graph of a function?

A function's graph is the set of all points in the plane of the form (x, f(x)). The graph of f could also be defined as the graph of the equation y = f(x).

The given function is

                               [tex]f(x)=\frac{8-x}{x^2-7x+12}\\\\\[/tex]

Now we put f(x) = 3, we get

                             [tex]3=\frac{8-x}{x^2-7x+12}\\\\\\\3x^2-21x+36=8-x\\3x^2-20x+24=0\\[/tex]

Solving we get

                                x=5.09717

                                 x=1.5695

So the points on the graph of the given function at the value f(x)=3 would be x=5.0971 and x=1.5695.

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Answer:

x = 1

Step-by-step explanation:

Given:

g(x) = 4x - 4

To Find:

x when g(x) = 0

[tex] \rm \implies 4x - 4 = 0 \\ \\ \rm \implies 4x - 4 + 4 = 0 + 4 \\ \\ \rm \implies 4x = 4 \\ \\ \rm \implies \cancel{\frac{4}{4}} x = \cancel{ \frac{4}{4} } \\ \\ \rm \implies x = 1[/tex]

Answer: y = 11

Step-by-step explanation:

Our problem: 72y - 126 = 522 + 144

1. Simplify 552 + 144 to 666

72y - 126 = 666

2. Add 126 to both sides

72y = 666 + 126

3. Simplify 666 + 126 to 792

72y = 792

4. Divide both sides by 72

y = [tex]\frac{792}{72}[/tex]

5. Simplify [tex]\frac{792}{72}[/tex] to 11

y = 11

Answer:

Step-by-step explanation:

They're both linear graphs, so they both follow the formula y = mx + b.

The y-intercept is when the graph crosses the y-intercept, so when x = 0.

First graph:

Slope(m): [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{-3-(-1)}{-3-0} =\frac{-2}{-3} =\frac{2}{3}[/tex]

y-intercept(b): (0, -1)

Second graph:

Slope(m): [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{-4-2}{-3-0} =\frac{-6}{-3} =2\\[/tex]

y-intercept(b): (0, 2)

The area of the semicircle is A = 1187.9 cm².

The area of a circle with a radius of r is A = πr².

Given that, the diameter of the semicircle is 55 cm.

The radius of the semicircle is,

r = 55/2

The area of a semicircle is given by,

A = (1/2)πr²

Substitute the values,

A = (1/2)π(55/2)²

A = 1187.9

Hence, the area of the semicircle is A = 1187.9 cm².

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Answer:

512

Step-by-step explanation:

A common multiple is defined as a whole number, a shared multiple of each set of numbers. The multiples common to two or more numbers are called the common multiples of those numbers.

OML I just gave u the answer do I need to put this in simple terms for you since u don't understand - 2 to the power of 3 x 3 is 512 and that is not a whole number a common multiple is defined as a whole number and for 512 to be an integer it has to be a whole number. UNDERSTAND NOW???

Unit rate of (1 /5 barrel) / (1/2hour) is equals to (2/5) barrels /hour.

What is unit rate?

"Unit rate is defined as the representation of the ratio of the two different units with value of the denominator equals to 1."

According to the question,

Given,

1/5 barrel/1/2 barrel

⇒ (1/2) hour = (1/5) barrel

⇒ 1 hour = (2/5) barallel

⇒ (2/5) barrel per one hour.

Therefore,

Unit  rate of given value is rewritten as

2/5 barrel/hour

hence option b is correct.

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Your question is incomplete. Please find the missing content below.

Rewrite 1/5 barrel 1/2 hour as a unit rate.

A. 2 1/2 barrel/hour

B. 2/5 barrel/hour

C. 10 barrels/hour

D. 1/10 barre./hour

As per the concept of system of linear equations, the maximum revenue of this basket ball match is $3.4

Linear equation:

Linear equation refers the one variable is an equation in which there is only one variable present. And it is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.

Given,

A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the average attendance has been 28000. When the price dropped to $7, the average attendance rose to 33000. Assume that attendance is linearly related to ticket price.

Here we need to find the ticket price would maximize revenue.

In order to find the ticket price for the maximum revenue,

We have to identify the details from the given question,

Total seating capacity = 66,000

When ticket price $10 then the attendance 28,000

When ticket price $7 then the attendance 33,000

Let us consider the x be the maximum revenue ticket price.

Now, to solve this we have to find the slope for the equation,

That is,

=> m = (33000 - 28000)/(7 - 10)

=> m = 5000/-3

=>  m = -5000/3

=> m = 1666.6

Then the revenue equation is written as,

=> y = (10 - x) * (28,000 + 1666.6x)

=> y = 280000-11334x-1666.6x²

If we plot the this function into the graph, then we get the graph like the following.

Therefore, the solution of the graph is 3.4.

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Answer:

Coefficient is 7, variable is z

Step-by-step explanation:

Simple interest of $325 was accrued on a principal of $26,000.00 for a period of 0.25 years (13 weeks) at a rate of 5% per year, bringing the total amount due to $26,325.00 (principal plus interest).

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay additional interest on the interest that has already accrued.

Here,

A = $26,325.00

I = A - P = $325.00

A is equal to P(1 + rt).

The first step is to convert R percent to r a decimal, which is equal to R/100 = 5%/100 = 0.05 per year.

For ease, let's convert time to years: 13 weeks / 52 weeks / year = 0.25 years.

How to resolve our equation

A = 26000(1 + (0.05 × 0.25))  = $26,325.00

Simple interest accrued on a principal of $26,000.00 at a rate of 5% per year for 0.25 years (13 weeks) totaling $26,325.00 (principal plus interest).

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Answer:

option 4

Step-by-step explanation:

Use distributive property: a(b +c) = (a*b) + (a*c).

Multiply each term of (-x - 5) by (-3).

  -3( -x  - 5) = ( -3* -x) + (-3*-5)

                  = ( 3x ) + ( 15)

                  = 3x + 15

⇒Note I am going to solve them step by step for you to understand.

1.

[tex]3(x)+3(5)=3x+5\\3x+15=3x+5\\3x-3x=5-15\\no\\solution[/tex]

since 0≠-10

2.

[tex]-3(x)-3(-5)=-3x-15\\-3x+15=-3x-15\\-3x+3x=-15-15\\0\neq -30\\no\\solution[/tex]

3.

[tex]3(-x)+3(5)=8-x\\-3x+15=8-x\\\\-3x+x=8-15\\-2x=-7\\\frac{-2x}{-2} =\frac{-7}{-2} \\x=\frac{7}{2}[/tex]

4.

[tex]-3(-x)-3(-5)=3x+15\\3x+15=3x+15\\3x-3x=15-15\\0=0\\[/tex]

Note there is no certain value for x as any value you insert as x can make the whole equation true.

No solution is the answer for Q4

The composite functions and their domains are listed as follows:

a) (f ∘ g)(x) = sin(2x/(x + 5)), domain is all real values except x = -5.

b) (g ∘ f)(x) = sin(2x)/(sin(2x) + 5), domain is all real values except x = -5 and the values of x for which sin(2x) + 5 = 0.

c) (f ∘ f)(x) = sin(sin(2x)), domain is all real values.

d) (g ∘ g)(x) = x/(6x + 5), domain is all real values except x = -5 and x = -5/6.

The composite functions are found applying the inner function as the input to the outer function, according to the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

The domain is the set of values that respect all the input constraints of the inner function, of the outer function, and of the composite function.

For this problem, the functions are given as follows:

For item a, the inner function g is applied as the input to the outer function f, hence:

f(g(x)) = sin(2x/(x + 5))

The sine has no constrains, the fraction cannot have a denominator zero, hence the domain is composed by all real values except x = -5.

The other composite functions are listed as follows:

[tex]g(g(x)) = \frac{\frac{x}{x + 5}}{\frac{x}{x + 5} + 5} = \frac{x}{6x + 5}[/tex]

Domain is all real values except:

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Answer:

Either 15 or -1 see below

Step-by-step explanation:

I am not sure if you menat n = 2 or n = -2

n= 2

4n + 7  Subtitute in 2 for n

4(2) + 7

8 + 7

15

n = -2

4n + 7y

4(-2) + 7

-8 + 7

-1

Answer:

Step-by-step explanation:

the correct answer is A.

because if Kay has 5 pencils and it is given to Merry 1, it means that Kay still has 4 pencils.

The preparation of a schedule of cash receipts for J. Lo's Clothiers covering the fourth quarter from October through December is as follows:

Fourth Quarter Cash Receipts        October    November   December

Month of sale (30%)                         $18,000       $16,500      $24,000

Following month (60%)                     42,000        36,000         33,000

Total cash receipts                         $60,000      $52,500      $57,000

A cash receipts schedule is a financial document that specifies how a business expects to collect cash from its credit sales customers based on the sales budget.

The cash collection formula can be established using the company's past collection patterns.

                     September

Credit Sales (actual) $ 70,000

Fourth Quarter                  October   November   December

Credit Sales                     $60,000     $55,000      $80,000

Cash Receipts:

Month of sale (30%)        $18,000       $16,500      $24,000

Following month (60%)    42,000        36,000         33,000

Total cash receipts        $60,000      $52,500      $57,000

Cash receipts in October = $60,000 ($60,000 x 30% + $70,000 x 60%)

Cash receipts in November = $52,500 ($55,000 x 30% + $60,000 x 60%)

Cash receipts in December = $57,000 ($80,000 x 30% + $55,000 x 60%)

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The length of i will be 531.3 inch when h is 300 inch and ∠G is 30° and ∠H is 29°.

When two straight lines or rays intersect at a shared terminal, an angle is generated. An angle's vertex is the common point of contact. The difference in direction between two lines or surfaces is defined as an angle. Angles are expressed in degrees. From a same point, the two hands draw separate sets of lines. Angle refers to these groups of lines that originate from a common point. Every minute, the two hands create various angles. In real life, one example of an angle is a clock.

Here,

∠I=180-(30+29)

=180-59

∠I=121°

h/sin H=i/sin I

300/sin 29=i/sin 121

i=300*sin 121/sin 29

i=531.3 inch

When h is 300 inches, G is 30 degrees, and H is 29 degrees, the length of I is 531.3 inches.

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Answer:

340%

Step-by-step explanation:

119000/35000

The point estimate for the lifetime of a certain type of battery is 120.1 hours.

Let X represent the battery's lifetime. X has a normal distribution with a standard deviation of 20 hours. The sample size is 50, and the average lifetime is 120.1 hours.

Calculating the mean of a sample drawn from the population yields a point estimate of the population's mean. The mean is calculated as the sum of all sample values divided by the number of values.

A single value estimate of a parameter is referred to as a point estimate. A sample mean, for example, is a point estimate of the population mean. An interval estimate provides a range of values within which the parameter is expected to fall. The population mean point estimate is sample mean and this is 120.1 hours.

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Complete question

The lifetime of a certain type of battery is known to be normally distributed with standard deviation =σ17 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 95% confidence interval for the mean lifetime for this type of battery. What is the point estimated?

Answer:

(2x+1)(3x+4)

Step-by-step explanation:

6x² + 11x + 4

multiply the first and last term

i.e (6x²)(4) = 24x²

find two terms that multiplies to give 24x² and when added would give 11x

¶ 8x and 3x

Therefore; 6x² + 11x + 4

6x² + 8x + 3x + 4

2x(3x + 4) + 1(3x + 4)

Answer; (2x + 1)(3x + 4)

The expected value of their repair costs is $41.50.

Given the probability of failure as 0.5%, this can be illustrated as 0.005.

The cost of repair is given as $300.

The expected value of the company will be:

= Earnings - [(Cost × P(failure)]

= 43 - (300 × 0.005)

= 43 - 1.50

= 41.5

The value is $41.50.

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Complete question

company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a repair cost of $300. The company offers an extended two-year warranty.

If a consumer does not purchase the extended warranty, then the consumer will need to pay $43 for any necessary repairs. What is the expected value of their repair costs?

Setting up a system of equation, the number of small boxes shipped is 13 and large box shipped is 6

System of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

Let;

We can represent this using equations;

35x + 60y = 815 ...eq(i)

x = 7 + y ... eq(ii)

Solving equation (i) and (ii)

x = 13, y = 6

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