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Answer: 401

Step-by-step explanation:

-177 + 578 = 401

The given bounded region is the set

[tex]R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}[/tex]

assuming the curves are [tex]y=x^4[/tex] and [tex]x=y^4\implies y=x^{1/4}[/tex] (since [tex]x>0[/tex] in the first quadrant).

The coordinates of the centroid are [tex](\bar x, \bar y)[/tex] where [tex]\bar x[/tex] and [tex]\bar y[/tex] are the average values of [tex]x[/tex] and [tex]y[/tex], respectively, over the region [tex]R[/tex]. These are given by the ratios

[tex]\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}[/tex]

Compute the area of [tex]R[/tex].

[tex]\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35[/tex]

Integrate [tex]x[/tex] and [tex]y[/tex] over [tex]R[/tex].

[tex]\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}[/tex]

[tex]\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}[/tex]

Then the centroid's coordinates are

[tex]\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463[/tex]

[tex]\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}[/tex]

Answer:

$180

Step-by-step explanation:

Well because it is $27 per hour, you can start with the whole hours:

6*27=162

then because you are working with fractions you can find what 1/3 of 27 is:

27* (1/3)=9

this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.

Then you just add it all up:

162+18=180

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

10 = 1.75 + 0.65(x)

0.65(x) = 10 - 1.75

0.65(x)= 8.25

x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

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If we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.

For given question,

Let α be an angle between vector a and vector b.

The angles between two vectors is given by,

cos(α) = [tex]\frac{\vec a . \vec b}{|\vec a | | \vec b|}[/tex]

The x component of vector is usually denoted by [tex]\vec i[/tex]

Let vector be [tex]x\vec i + y\vec j[/tex]

Let [tex]\vec a=\vec i, ~ \vec b=x\vec i + y\vec j[/tex]

[tex]\vec a . \vec b=x[/tex]

[tex]|\vec a|=1[/tex]

[tex]|\vec b|=\sqrt{x^2+y^2}[/tex]

So, the angle between the vector and x-axis is [tex]cos^{-1}(\frac{x}{\sqrt{x^2+y^2} } )[/tex]

Therefore, if we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.

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The current percentage in comparison to in the year 2000 is 88.22%.

We are given the percentage of death in the year 2000, 2015 and the difference. Now, we have to find the percentage of donors between change and the original deaths in the year 2000.

To find this, we will use the following formula -

Percentage change = Difference between the percentage change in the year 2000 to 2015 ÷ Percentage of deaths in the year 2000 ×100

Now, keep the values in formula to find the percentage change.

Percentage change = [tex]\frac{8.24}{9.34} *100[/tex]

Performing division to find the percentage change

Percentage change = 0.882*100

Further performing multiplication to get the answer in the form of percentage

Percentage change = 88.22%

Hence, the comparison of difference with the percentage of donors dying from drug overdoses in 2000 is 88.22%.

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17716.09385 is sum of multiplication .

What does multiply mean?

= 2.53 x 1019 + 3.197 x 1017 + 2.56197 x 1019 + 3.2223 x 1019 + 2.56197 x 1036 + 3.2223 x 1036

= 2578.07 + 3251.349 + 2610.64743 + 3283.5237 + 2654.20092 + 3338.3028

= 17716.09385

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Answer:

180

Step-by-step explanation:

Because its true

Answer:

310 hamburgers were sold on Saturday

Step-by-step explanation:

1x + 70 =380

    -70   -70     Reverse

1x   =  310

/1         /1          Divide

x =310

Answer:

I think the answer to this question is the last multiple choice answer

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex]16^{2} =256[/tex]

Linear equations are equations that has a leading degree of 1. The value of x that makes the equation true is 1/4

Linear equation are equations that has a linear degree of 1. The standard linear equation is y = mx + b

Given the expression below

2(3 - 7x) = 4 - 6x

Expand

6 - 14x = 4 - 6x

Collect the like terms

6 - 14x = 4 - 6x

-14x + 6x = 4 -6

-8x = -2

Divide both sides by -8

-8x/-8 = -2/-8

x = 1/4

Hence the value of x that makes the equation true is 1/4

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Answer:

9

Step-by-step explanation:

[tex]38-14\\\bold{24}\\\rightarrow 1\div \:4\cdot \:24+3^3\div \:9\\3^3\\\bold{27}\\\rightarrow 1\div \:4\cdot \:24+27\div \:9\\1\div \:4\cdot \:24\\\frac{1}{4}\cdot \:24\\\bold{6}\\\rightarrow 6+27\div \:9\\27\div \:9\\\bold{3}\\6+3\\=9[/tex]

Answer:

well it would be [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

Simply put [tex]-\frac{3}{9}[/tex]. The top and bottom are divisible by 3 so you simplify and you end up with negative one third.

The wind instrument with the closed end.

Why is it known as a node?

Node is the actual name in use. It was initially intended to be used as a web application, but the author changed the name to node after realizing it could be applied to a variety of situations.

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Answer:

1/2

Step-by-step explanation:

0.5 is half of 1 so 1/2 is 0.5 as a fraction

What you have to do first is you have 5 owners correct? well you take anything they are sharing in the case it is delay/debt. so you divide $110 by 5 and you should get the amount $22. This means that each owner has to pay $22 to the delay.

The domain of the function:{x|x<-1 and x>1} or (-∞,-1] ∪[1,∞) and the range of the function {y|y∈R} or (-∞,∞) .

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

In the given graph we can see that the values of x are all real values greater than 1 and all real values less than 1

Therefore the domain of the function is set-builder notation is given by:

{x|x<-1 and x>1}

The domain of the function in interval notation is given by:

(-∞,-1] ∪[1,∞)

Therefore the range of the function is set-builder notation is given by:

{y|y∈R}

The range of the function in interval notation is given by:

(-∞,∞)

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{-8}{27}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{9}[/tex] - [tex]\frac{-7}{27}[/tex]  Subtracting a negative is the same as adding a positive.  So I would change the form to addition.

[tex]\frac{-5}{9}[/tex] + [tex]\frac{7}{27}[/tex]  Now to add, we need a common denominator.  Let's us 27

[tex]\frac{-5}{9}[/tex] = [tex]\frac{-15}{27}[/tex]  We multiple the numerator and denominator (top and bottom) by 3 to make an equivalent fraction.

[tex]\frac{-15}{27}[/tex] + [tex]\frac{7}{27}[/tex]  the bottom number stays the same and we add the top numbers

-15 + 7 = -8

[tex]\frac{-8}{27}[/tex]

Answer: -8/27

Step-by-step explanation:

[tex]\displaystyle\\-\frac{5}{9} -(-\frac{7}{27} )=\\\\-\frac{5*3}{9*3} +\frac{7}{27} =\\\\\frac{-15}{27}+\frac{7}{27}=\\\\ \frac{-15+7}{27}=\\\\ \frac{-8}{27} =\\\\-\frac{8}{27}[/tex]

Answer:

(E) 6x+12

relations: A relation R is the subset of the cartesian product of X x Y, where X and Y are two non-empty elements. It is derived by stating the relationship between the first element and second element of the ordered pair of X × Y. The set of all primary elements of the ordered pairs is called a domain of R and the set of all second elements of the ordered pairs is called a range of R.

functions: A relation ‘f’ is said to be a function, if every element of a non-empty set X, has only one image or range to a non-empty set Y.

f(x) = 3x + 4

2 * f(x) + 4 = (2 × f(x)) + 4

From above equation

= (2 × (3x + 4)) + 4

= (2 × 3x) + (2 × 4) + 4

= 6x + 8 + 4

= 6x + 12

Therefore, the value of 2f(x) + 4 is ′6x + 12′.

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The answers to all the subparts of the question are shown below.

(A) What type of observational study was this?

(B-1) What is the response variable?

(B-2) What is the explanatory variable?

Therefore, the answers to all the subparts of the question are shown.

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Answer:

4000inches

Step-by-step explanation:

1000*4 = 4000inches

Answer: 4,000 inches

Step-by-step explanation:

this is because 4 times 1000 is 4000 so the Hyperion tree would be 4000 inches tall

Answer:

(1,-2)

Step-by-step explanation:

Passes through (-3,2) and perpendicular to the line containing (2,3) and

The largest area of rectangle can be A= (11√11)/√2

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Area = l × w. l = length. w = width.

Given:

y=11-x²

Consider,

x is the length of the base

y is the vertices on the curve (width)

As, the area of a rectangle with its base on the x-axis.

So, base =2x

Then Area of rectangle

A = 2x(11-x²)

Foe maximum area, dA/dx=0

dA/dx = 22-4x²

22-4x² =0

22=4x²

11/2 = x²

x=√(11/2)

Now, Put x=√(11/2) in area

A= 2*√(11/2) ( 11-11/2)

A= √22(11/2)

A= (11√11)/√2

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Answer is 54. Here is a trick for you. Write 63 as a fraction, with the denominator as 1. 63/1. Then insert the fraction you are calculating, 6/7: (6*63)/7*1. Do the multiplication, 6*63=378, 7*1=7. Then write as 378/7. What's 378/7? Your answer 54.

Answer:

54

Step-by-step explanation:

9 x 6 = 54 Bruce will end up with 54 brownies if he cuts each of the 6 brownie pans of brownies into 9.

The plumber has enough handles to install the entire 9 sinks

A plumber needs to install handles in 9 sinks

Each sink has a hot water handle and a cold water handle, that means each sink will require 2 handles. This means the multiplication of 9 and 2

= 9 × 2

= 18

The plumber has a total of 19 handles and 18 handles are required for the installation. This means that he has enough handles and he will be left with one handle.

Hence, there will be enough handles for the installation.

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The value of the integer number n is greater than 5 and less than 9.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.

Simplification is to make something easier to do or understand and to make something less complicated.

Shantira is thinking of a number n.

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

Let n be the integer number.

Then according to the condition,

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

24 < 6n - 6 < 48

Add 6, then

30 < 6n < 54

Divide it by 6

5 < n < 9

So the value of the integer number n is greater than 5 and less than 9.

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_____________________

Solution:

Exact Form:

[tex]\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}[/tex]

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56