a paint roller has a width of 12 inches and a radius of 3 inches, what is the surface area that can be painted with one complete rotation of the roller

Answer:

The answer is in the screenshot below

Step-by-step explanation:

Answer:

129.89 m²

Step-by-step explanation:

Area of a circle of radius r is A = πr².

If r = 6.43 m, then A = π(6.43 m)²  =  129.89 m²

On solving the provided question, we can say that - the radicals are as follows be = 3x^2|y| sqrt(7x)  

The square root or nth root symbol is called a radical. Expressions with square roots are referred to as root expressions. A radical's radicand is a number or phrase that appears there. The radicals 7, 2y+1, and so on are examples. The following phrases can also be used to describe radicals: Radical equations are equations contained within of radicals. The term "root expression" refers to the expression found inside the square root. Examples of radical representations are the numbers 2, 372, 2x+7, and 41p.

here,

the radicals will be - 7xy ∛(xy^2)

and   3x^2|y| sqrt(7x)  

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Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

Two different kinds of issues arise in TOC: - Problems that can be and can't be computed When something is "computable" (or "solvable"),

it means that it can be solved using an algorithm or a set of steps.

No method exists that can produce an output that is either "true" or "false," hence this problem is non-computable (or unsolvable).

Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.

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Answer: 225 ft

Step-by-step explanation:

Answer:

2 and 3/4

Step-by-step explanation:

The pattern is to add 2/4 each time. to find the 6th term, add 2/4 three more times.

1 and 1/4 + 2/4 = 1 and 3/4

1 and 3/4 + 2/4 = 2 and 1/4

2 and 1/4 + 2/4 = 2 and 3/4

A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price.      R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )

Assumed in this instance is , At a price of 40 dollars apiece, [tex]$(300)(40 \$)=12,000 \$$[/tex] books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's [tex]$(300-25 x)$[/tex]. Due to the fact that the price always rises by five times more than the number of books, the cost is [tex]$(40+5 x)$[/tex].

[tex]$R=(300-25 x) \cdot(40+5 x)$[/tex]

[tex]$R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$[/tex]

The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.

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Answer:

Mark the sides BC and DF as congruent---------------------------------------------------We are given a side and an adjacent angle and need to identify the missing side or angle for proof by SAS .SAS is side-angle-side and requires two sides and the included angle to be congruent on both triangles.The missing bit is the other side of the marked angle B and D:sides BC or DF.

Step-by-step explanation:

Answer:

98 + 37 = 135

180 - 135 = 45

Step-by-step explanation:

u might be asking yourself why added both of the measures .The reason why i added both of the measurements and subtracted it from 180 is that a triangle measures up to 180 if u ever hear someone talkin about an angle that measures more than 180 then that won't be a trianlge ...If u add both of the answers the will surely give u 180 if u don't believe it 98 + 37 +45 = 180

Answer:

your work is not clearly taking sorry i can't see

The correct statement based on the data is,

⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Option 2 is true.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.

       Mangos Used    Smoothie Size

Kim         1                         8 oz

Bri           3                        24 oz

Angela    4                        32 oz

Now, By definition of ratio, we get;

The ratio of smoothie size to mangos used for Bri is,

⇒ 24 : 3

⇒ 8 : 1

And, The ratio of smoothie size to mangos used for Angela is,

⇒ 32 : 4

⇒ 8 : 1

Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

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Answer:

Sarah has a larger average

Step-by-step explanation:

to find the average of each person, you add how much they spent then divide by the total number of values in the set of each person.

Scores earns an intelligence score of 130

According to the 68-95-99.7 rule, 68% of persons have WAIS scores ranging from 100-15 to 100+15. WAIS scores between 85 and 115 are obtained by 99.7% of the population. As a result, 32% of adults have WAIS scores of 85 or above. Factor Analysis is a statistical process used to discover clusters of similar questions (called factors) on a test; it is used to identify multiple levels of performance that underpin one’s overall score.

The WAIS categories are shown below and are based on a mean of 100: Scores of 130 and higher are deemed talented. Scores between 120 and 129 are regarded extremely intelligent. Normal intellect is defined as a score between 110 and 119.

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Complete question is: A performance score on the WAIS that is higher than all but 2 percent of all scores earns an intelligence score of:

9514 1404 393

Answer:

  a° = 52°

  b° = 64°

  c° = 128°

Step-by-step explanation:

a) The 52° angle and the angle marked a° both intercept the same arc, so have the same measure.

  a° = 52°

__

b) The base angles of the isosceles triangle are equal. This means they are ...

  b° = (180° -52°)/2 = 128°/2

  b° = 64°

__

c) The arc intercepted by angle b° is twice the measure of angle b°, so is ...

  c° = 2(64°)

  c° = 128°

Answer:

They should sell the computer for $287.50

Step-by-step explanation:

Let's solve the 25% increase first

100% = $200

100% + 25% = 125% = 1.25

200 x 1.25 = $250

Then we find the 15% increase

100% = $250

100% + 15% = 115% = 1.15

250 x 1.15 = $287.50

So, they should sell the computer for $287.50

a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

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Ramona’s mistake was she just substituted the 8.5 for the wrong variable.

From given conditions:

Ramona used the regression equation y = 444x - 21.29,  

where x represents height and y represents shoe size,

According to Romana her answer is incorrect as a man who is -17.52 inches tall does not predict the approximate height of a man.

The 8.5 refer to shoes size, not height.

So substituting 8.5 for the x-variable is wrong, because x refers to height and y represents shoe size.

Therefore, Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

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By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.

We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).

Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.

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Answer:

29.587 Happy Learning :)

If Elliot purchased 3 trick cameras and 4 fake snakes for $40 and  Kaci bought 7 trick cameras and 8 fake snakes for $85 , then the system of equations that can be used to find the cost of trick camera and fake snakes are [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

Elliot purchased 3 trick cameras and 4 fake snakes for $40  ;

Kaci purchased 7 trick cameras and 8 fake snakes for  $85 ;

let the number of trick cameras purchased be = x ;

let the number of fake snakes purchased be = y ;

So , the equation for Elliot's purchase is ⇒ [tex]3x+4y=40[/tex] ;

and the equation for Kaci's purchase is ⇒ [tex]7x+8y=85[/tex] ;

Therefore , the equations to solve for the number of trick cameras and number of fake cameras are  [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

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The domain of a function with two variables is the set of all possible inputs (x-values and y-values) that make the function defined. To find the domain, first identify all of the restrictions on the x-values and y-values, then combine them into a single set of restrictions.

The domain of a function with two variables is the set of all possible inputs (x-values and y-values) that make the function defined. To find the domain, first identify all of the restrictions on the x-values and y-values. These restrictions may come from the function itself, such as any values that would make the function undefined, or from outside sources, such as boundaries placed on the function’s input. Once all of the restrictions are identified, they must be combined into a single set of restrictions. This set of restrictions defines the domain. For example, if the function is defined for all x-values between 1 and 5 and all y-values between -3 and 7, then the domain is all x-values between 1 and 5 and all y-values between -3 and 7. The domain of a function with two variables is an important part of understanding how the function behaves, as it defines the range of inputs for which the function is valid.

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Answer: y<-5x+9

Step-by-step explanation:

Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.

Answer:

C.

y = –x – 6

Step-by-step explanation:

Use the slope-intercept form  

y

=

m

x

+

b

to find the slope  

m

and y-intercept  

b

.

Slope:  

5

3

y-intercept:  

( 0 , − 2 )

Write in slope-intercept form,  

y = m x + b . y = 5 /3 x − 2

Graph the line using the slope and y-intercept, or two points.

Slope:  

5

3

y-intercept:  

(

0

,

−

2

)

x

y

0

−

2

3

3

Use the slope-intercept form  

y

=

m

x

+

b

to find the slope  

m

.

m

=

5

3

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

1

y-intercept:  

( 0 , 6 )

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

−

6

y-intercept:  

( 0 , − 1 )

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

−

1

y-intercept:  

( 0 , − 6 )

When estimating a population mean (μ) with a known population standard deviation (σ), the proper distribution to use is the standard normal distribution. So, correct option is A.

This is because the sampling distribution of the sample mean follows a normal distribution when the population standard deviation is known. The central limit theorem guarantees that the sample mean will be normally distributed with mean μ and standard deviation σ/√n, where n is the sample size.

The formula for constructing a confidence interval for μ when σ is known is:

CI = x' ± zα/2 * (σ/√n)

where x' is the sample mean, zα/2 is the z-score corresponding to the desired confidence level (α), σ is the population standard deviation, and n is the sample size.

Since the standard normal distribution has a mean of 0 and a standard deviation of 1, we can use z-scores to find the appropriate values for zα/2. This is why the standard normal distribution is used for interval estimation when σ is known.

In summary, the standard normal distribution is used for interval estimation of μ when σ is known because the sampling distribution of the sample mean is normally distributed when the population standard deviation is known.

So, correct option is A.

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Answer:

6

Step-by-step explanation:

From the pythagorean theorem the square lenght of hypotenuse is equal to sum of square lenght of base and side

(6.5)^2 = x^2 + (2.5)

42.25 = x^2 + 6.25 subtract 6.25 from both sides

36 = x^2 and x = 6

Therefore, the multiple of the given equations is 10x^2yz + 6xyz^2, 5x^3y^2 + 14x^3y^3, and -10x^5 + 15x^4 - 30x^3 + 40x^2.

The process of multiplying two or more polynomials together is known as polynomial multiplication. Applying the distributive property to the multiplication of polynomials allows us to conduct polynomial multiplication.

Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then implies that 3 gets multiplied by itself twice, meaning 3 + 3 = 6. Children can multiply numbers easily with the help of this method.

1. (5xy+3yz) * 2xz = 10x^2yz + 6xyz^2

2. (6/7x2y) * (35/6xy + 14/3 xy2) = 5x^3y^2 + 14x^3y^3

3. (2x3-3x2+6x-8) * (-5x2) = -10x^5 + 15x^4 - 30x^3 + 40x^2

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Answer:

the answer is d

Step-by-step explanation:

Answer:

588 ft^2

Step-by-step explanation:

Lets start by making either a mental or physical list of the different sized sides on the prism. Check that the number of sides you assign to the dimensions has an overall total of six. I've made that mistake before lol it was a bit depressing.

We can now add all of our values up:

192 + 288 + 108 = 588 ft^2