In one or two sentences, explain how setting can reveal the theme of a text.

The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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Hello,

\(f(x)=x^3-4x^2-11x+30 \\\\f(0)=30\)

so y-intercept is (0,30)

The product of the roots are -30 = 2 * 5 * -3, and the sum is 4 = 2 + 5 - 3 , so we can factorise

\(f(x)=x^3-4x^2-11x+30 \\\\f(x)=0 \\\\<=> x^3-4x^2-11x+30=(x+3)(x-2)(x-5)=0\\\\<=> x=-3 \ or \ x=2 \ or \ x=5\)

x-intercepts are (-3,0) (2,0) and (5,0)

thanks

Answer:

A

Step-by-step explanation:

Answer:

why did you delete my answer??????

Step-by-step explanation:

Using the arithmetic operation of division, the value for 3.12 / 6.5 is obtained as 0.48.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

To divide 3.12 by 6.5, we need to use the following steps -

We can align the decimal point by multiplying both the numerator and denominator by a power of 10 to get rid of the decimal in the numerator.

So, we can multiply both 3.12 and 6.5 by 100 to get -

312 / 650

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

In this case, the GCF is 26.

So, we can divide both 312 and 650 by 26 to get -

12 / 25

Use the arithmetic operation of division -

12 / 25 = 0.48

Therefore, 3.12 divided by 6.5 is equal to 12/25 or 0.48 when rounded to two decimal places.

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Answer:

B. No

Step-by-step explanation:

I calculated it logically

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)

My theorems include the Pythagoras theorem, midpoint theorem, and angle bisector theorem.

The Pythagoras theorem is used to find the length in a right angle.

The midpoint theorem states that the line segment in a triangle is parallel to the third side and is half the length.

The angle bisector theorem is concerned with the lengths of the two segments that the triangle side is divided into by a line which bisects the opposite angle.

I like them because they're important when solving triangle related problems.

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Answer:

w=13

Step-by-step explanation:

15+w=3w-11

+11           +11

26+w=3w

    -w   -w

26=2w

26/2=2w/2

13=w

Answer:

w =13

Step-by-step explanation:

15+w=3w−11

Collect like terms

15+11=3w−w

Simplify

26=2w

Divide both sides of the equationy 2

26/2=2w/2

Simplify

13=w

switch sides

w=13

Answer:

true

Step-by-step explanation:

Answer:

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

Answer:

8 significant figures should be provided.

Step-by-step explanation:

I believe I am correct, but check your answer anyways.

Jane won 90% of the video games. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

The four fundamental operations, sometimes known as "arithmetic operations," are believed to adequately characterise all real numbers. Division, multiplication, addition, and subtraction are followed by the mathematical operations quotient, product, sum, and difference.

We are given that Jane won 9 out of the 10 video games she played.

Let the percentage be x.

Using the multiplication operation, we get,

⇒ 10 * x% = 9

⇒ 10 * \(\frac{x}{100}\) = 9

⇒  \(\frac{x}{10}\) = 9

⇒ x = 90

Hence, Jane won 90% of the video games.

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Since, there are multiple questions so, the question answered above is:

Question: Jane won 9 out of the 10 video games she played. What percent of the video games did Jane win?

The transformation T1 defined by T1(x1,x2,x3)=(x1,0,x3) is linear transformation among the five given questions.

A linear transformation satisfies two properties: additivity and homogeneity. That is, for any vectors u and v, and any scalars a and b:

T(u + v) = T(u) + T(v)

T(au) = aT(u)

Using these properties, we can determine which of the given transformations are linear transformations:

A. The transformation T1 defined by T1(x1,x2,x3)=(x1,0,x3)

T1(u+v) = (u1+v1, 0, u3+v3) = (u1, 0, u3) + (v1, 0, v3) = T1(u) + T1(v)

T1(au) = (au1, 0, au3) = a(u1, 0, u3) = a*T1(u)

Therefore, T1 is a linear transformation.

The transformation T2 defined by T2(x1,x2)=(2x1−3x2,x1+4,5x2)

T2(u+v) = (2(u1+v1)−3(u2+v2), u1+v1+4, 5(u2+v2))

= (2u1−3u2, u1+4, 5u2) + (2v1−3v2, v1+4, 5v2) = T2(u) + T2(v)

However, T2 does not satisfy homogeneity property. Consider a = -1 and u = (1, 1):

T2(-u) = (-2, 5, -5)

-1*T2(u) = (-2, -5, -5)

Therefore, T2 is not a linear transformation.

The transformation T3 defined by T3(x1,x2,x3)=(x1,x2,−x3)

T3(u+v) = (u1+v1, u2+v2, -(u3+v3)) = (u1, u2, -u3) + (v1, v2, -v3) = T3(u) + T3(v)

T3(au) = (au1, au2, -au3) = a*(u1, u2, -u3) = a*T3(u)

Therefore, T3 is a linear transformation.

The transformation T4 defined by T4(x1,x2,x3)=(1,x2,x3)

T4(u+v) = (1, u2+v2, u3+v3) ≠ (1, u2, u3) + (1, v2, v3) = T4(u) + T4(v)

T4(au) = (1, au2, au3) ≠ a(1, u2, u3) = a*T4(u)

Therefore, T4 is not a linear transformation.

The transformation T5 defined by T5(x1,x2)=(4x1−2x2,3|x2|)

T5(u+v) = (4(u1+v1)−2(u2+v2), 3|u2+v2|)

= (4u1−2u2, 3|u2|) + (4v1−2v2, 3|v2|) ≠ T5(u) + T5(v)

T5(au) = (4au1−2au2, 3|au2|) ≠ a*T5(u)

Therefore, T5 is not a linear transformation.

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Answer:

y = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-15 + 10y = 25

Step 2: Solve for y

The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

1

Step-by-step explanation:

Parallel lines have the same slope and it is understood for 1 to be the number in front of the x if there isn't one so, the slope or number for the second line would also be 1.

Answer:

i'm not sure if i'm right but think is cube

a) Parametrization for Q ⇒ x = 3 sin∅ cosθ , y = 3 sin∅sinθ , z = 3 cos∅

  Parametrization for D ⇒ x = r cosθ, y = r sinθ, z = 1.

b) Total surface area of Q and D together  are  \(4 \sqrt{2} \pi + 12 \pi\)

What is surface area and example?

Given that,

radius of sphere = 3

center (0, 0)

z = 1

D be the disk which acts as a lid to Q from below

a) Parametrization for Q

We know that , Equation of sphere \(x^{2}+ y^{2} + z^{2} = 3^{2}\), plane z = 1

If we take the equation as parametrization , we get

x = 3 sin∅ cosθ , y = 3 sin∅sinθ , z = 3 cos∅ (0 ≤ θ ≤ 2π , 0 ≤ ∅ ≤ π)

if z = 1 , we get

3 cos∅ = 1

   cos∅ = 1/3

         ∅ = \(cos^{-1}( \frac{1}{3})\)

For Q , 0 ≤ ∅ ≤  \(cos^{-1}( \frac{1}{3})\)

Therefore, Parametrization for Q is

x = 3 sin∅ cosθ , y = 3 sin∅sinθ , z = 3 cos∅ [0 ≤ θ ≤ 2π  , 0 ≤ ∅ ≤  ]

For D Intersection of   \(x^{2}+ y^{2} + z^{2} = 9\), z = 1

                                     \(x^{2}+ y^{2} + z^{2} = 9\)  , z = 1

                                     \(x^{2}+ y^{2} = 8\), z = 1

                                    \(x^{2}+ y^{2} = (2 \sqrt{2} )^{2}\),z = 1

Parametrization for D is

x = r cosθ, y = r sinθ, z = 1(0 ≤ r ≤  , 0 ≤ r ≤ 2π)

Since D is a disc    \(x^{2}+ y^{2} = (2 \sqrt{2} )^{2}\),z = 1 with radius \(2\sqrt{2}\),

Surface area ⇒ \(A_{D} =\) 2 π (radius)

                          \(A_{D} =\) 2 π ( \(2\sqrt{2}\))

                           \(A_{D} =\)  4\(\sqrt{2}\) π

Q parametrization is

r(∅ , θ) = (3 sin∅ cosθ , 3 sin∅ sinθ , 3 cos∅ )[0 ≤ θ ≤ 2π ,  0 ≤ ∅ ≤  \(cos^{-1}( \frac{1}{3})\)]

b)

r∅ =d/dθ  (3 sin∅ cosθ , 3 sin∅ sinθ , 3 cos∅)

r∅ = (3 cos∅cosθ , 3 cos∅sinθ ,-3sin∅)

rθ = d/dθ (3 sin∅ cosθ , 3 sin∅ sinθ , 3 cos∅ )

rθ = (-3 sin∅sinθ , 3 sin∅cosθ, 0)

r∅ x rθ = i [9 \(sin^{2}\)∅cosθ] + 9  \(sin^{2}\)∅sinθ j + k . 9 sin∅ cosθ

|| r∅ x rθ || = √\(9^{2} sin^{4}\)∅(\(cos^{2} \\\)θ +\(sin^{2}\)θ) + \(9^{2} sin^{2}\)∅\(cos^{2}\)∅

                =√\(9^{2} sin^{2}\)∅(1)

                = 9 sin∅

Surface area of Q is

\(A_{Q}\) = ∫ 0 - 2π ∫ 0 - \(cos^{-1}(\frac{1}{3} )\)  || r∅ x rθ ||  \(d_{A}\)

     = 2π [-9 cos ( \(cos^{-1}(\frac{1}{3} )\) ) - (-9 cos(0))

     = 2π [-9 (\(\frac{1}{3}\)) + 9 (1)]

     = 2π (6)

\(A_{Q}\) = 12 π

Therefore, the total surface area

= \(A_{D} + A_{Q}\)

= \(4 \sqrt{2} \pi + 12 \pi\)

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Answer:

I think it would be angles A and B.

Hope this helps!

there are about millions of multinational and national companies which are working for the better Gross National Product(GNP).

The United States is super power and has multiple resources to maintain itself  and the over all economic system. As, there are about millions of multinational and national companies which are working for the better Gross National Product(GNP). As, there is agriculture, car manufacturer, and the military industry for improving and adding the value to the over all GNP of the United States.

The Oil and gas sector is the one major factor for the development of the United State's GNP(Gross National Product). As, the exports of the region is well known to be very high and generates more revenue for the over all system as well.    

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Answer:

Put B on the one side, then the numbers go on the other side

The given differential equation has the answer C₁ +C₂ 1/81 -x⁹ +1/9 x⁹ln(x). It has been solved using the variation of parameters method below.

We have the differential equation xy'' − 8y' = x^8.  In order to solve any differential equation using the variation of parameters method, we first write the equation as and solve -

= xy'' − 8y' = 0

After solving this, we get the Auxiliary equation-

so CF is y = 1/9 x⁹ +  C₁ +C₂

Now, we write -

y1 (x) =  1/9 x⁹

y2 (x) = 1

y1'(x) = x^8

y2'(x) = 0

now, using wronskian formula

= W = -x^8

Now, applying the formulas -

= u =  \(- \int{\frac{f(x)y2(x)}{W(x)} } \, dx\) and v = \(\int{\frac{f(x)y1(x)}{W(x)} } \, dx\)

= u = log(x) and v = -x⁹/81

now particular integrals are

PI = 1/81 -x⁹ +1/9 x⁹ln(x)

total solution

y = C.F+P.I

y = C₁ +C₂ 1/81 -x⁹ +1/9 x⁹ln(x)

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According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.

To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.

According to the above, the divisions would be:

According to the above, Brad was the one who scored the most goals.

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Answer:

The answer is "\(\bold{x=(\frac{2}{5}) (2+3) -3}\)"

Step-by-step explanation:

In the given question the point is missing, that's why we define the correct equation only.

Answer:

D, x =  (2+3) − 3

Step-by-step explanation:

Got it right, Edge 2020

Answer:

4.5 divided by 0.5=9

9 times 5=45

45 feet

Step-by-step explanation:

Answer:

45 feet

Step-by-step explanation:

Set up a proportion:

\(\frac{0.5}{5}\) = \(\frac{4.5}{x}\)

Cross multiply:

0.5x = 22.5

x = 45

= 45 feet

Answer:

72/5

Step-by-step explanation:

18/5 x4 = t/4 x4

(18x4)/5 = t

t = 72/5