please help me solve this

The mathematical expression represents C(x(y)) will be C(x(y)) = 70y + 325. Then the correct option is B.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The daily cost of manufacturing x comic books at a small custom printing shop is C(x) = 2x + 325, and the number of comic books assembled in y hours is x(y) = 35y.

The composition function, C(x(y)), identifies the cost of assembling comic books in a y-hour day.

Then the mathematical expression represents C(x(y)) will be

C(x(y)) = 2(35y) + 325

C(x(y)) = 70y + 325

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Answer:

Upward

Step-by-step explanation:

Because of the positive leading coefficient, the graph of the function will open upwards, being a parabola.

The five number summary is

===========================================================

Further Explanation:

The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}

It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.

There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6

Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.

Median = 28.5

---------------

Now break the set up into two pieces

L = {23, 24, 25, 27, 27, 28}

U = {29, 30, 30, 31, 32, 37}

L is the lower set below the median, U is the upper set above the median

The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5

This gives us Q1 = 26 and Q3 = 30.5 respectively

Q1 = first quartile

Q3 = third quartile

The min and max are simply the smallest and largest items of the set

min = 23

max = 37

------------------

We have this five number summary:

These five items directly determine the positioning of the box and whiskers. No extra info is needed.

The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.

The Q1 and Q3 handle the left and right edges of the box

The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.

With all this in mind, the best match is choice D

----------------------------------

In other words, we can eliminate the following

Since A, B, and C are eliminated, the only thing left is choice D which matches all aspects of the five number summary above.

Considerando la multiplicando una fracción por un entero, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.

Para multiplicar una fracción por un número entero, se debe tener en cuenta que cualquier entero n puede ser escrito como la fracción [tex]\frac{n}{1}[/tex].

Luego, se multiplican los denominadores para obtener el denominador final y se multiplican los numeradores para obtener el numerador final. Es decir, en la multiplicación de fracciones se multiplican los numeradores de las fracciones y aparte los denominadores.

Para preparar un pastel, se necesita 1/3 de un paquete de 750 g de azúcar, 3/4 de un paquete de harina de kilo (1000 g), 3/5 de una barra de mantequilla de 200 g. Esto es:

Considerando la multiplicando de una fracción por un entero y resolviendo se obtiene:

Finalmente, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.

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Answer:

The first job pays more

Step-by-step explanation:

950 x 3 = One month pay = 2,850

2,859 x 12 = One year = 34,308 Per Year

Comparing them both

$45,000 One Year, First Job

$34,308 One Year, Second Job

Step-by-step explanation:

8-3 = 5,

3-5 = -2 = the x coordinate of B

-2-4 =-6,

-2-6 =-8 = the y coordinate of B

(-2,-8) is the point B

A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint

A is 6 up from the midpoint so B is 6 down from the midpoint

Answer:

1/3

1/2

Step-by-step explanation:

Sum being greter than 8, means 9,10,11,12 (12 is max as 6+6)

You can get 9 in these ways, (6+3),(5+4),(4+5),(3+6)

For 10, (6+4),(5+5),(5+5),(4+6)

For 11, (6+5),(5+6)

For 12 (6+6),(6+6)

Each outcome has probability of 1/6 x 1/6 = 1/36

There are 12 outcomes hence 12(1/36) = 12/36 = 1/3

Part b is 1/2 because half of dice has odd numbers.

now, we don't have a compounding period above, so we're assuming the amount is compounding annually.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 8112\\ P=\textit{original amount deposited}\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.30\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]8112=P\left(1+\frac{0.30}{1}\right)^{1\cdot 2}\implies 8112=P(1.3)^2\implies \cfrac{8112}{1.3^2}=P\implies 4800=P[/tex]

Answer: s = 47°

Step-by-step explanation:

     This shape is a hexagon because it has 6 sides.

-> There are 720° total in a hexagon.

   Using this information, we will add together all the angles, set it equal to 720°, and solve for x.

(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°

3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°

3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°

15s° + 15° = 720°

15s° = 705°

s = 47°

Answer:

Pick up point  is 1.43 km from the school and drop point is 3.57 km from the school  ( to the nearest hundredth).

Step-by-step explanation:

School <----------- 5 km ---------------> Home

_______ P _______ D _______        

      x  km          y km        5-x-y km

                     _______

                           y      

                     _________________

                                  5-x km

D is the point where Peter drops off N and P is the pick point x km from the school  where  Peter picks up R. He travels back y km to pick up R.

We work in times:

Time = distance / speed

The time that  R walks from the school to point P is the same  as Peter travels the distance  (x + 2y) km, so we have

x/5 =  (x + 2y)/20

20x = 5x + 10y

15x - 10y = 0     A

The time that N walks home equals the time that Peter travels y + 5 - x km.

So (y + 5 - x)/20 = (5 - x - y)/5

5y + 25 - 5x = 100 - 20x - 20y

15x  + 25y = 75

3x + 5y = 15   B

Solving equation A and B

15x - 10y = 0

3x + 5y = 15

Multiply the second equation by 2:

6x + 10y = 30

Adding this to the first equation

21x = 30

x = 30/21 = 1.4285

So  3(1.4285) + 5y = 15

y = 2.1428

Pick up x  = 1.43 km

and the drop is 1.43 + 2.14 = 3,57 km from the school

Answer:

-x

The slope-intercept equation is y = -x + 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The slope is 1 because it goes 2 units down and then 2 units right. So 2 divided by 2 = 1 as slope.

Answer:

[tex]x=-2\pm2\sqrt13[/tex]

Step-by-step explanation:

The area of the triangle is;

[tex]A=\frac{1}{2} \times b\times h[/tex]

[tex]b=x+4[/tex]

[tex]h=x[/tex]

[tex]Area=A=24[/tex]

[tex]A=\frac{1}{2}\times[(x+4)\times x] \\24=\frac{x^{2} +4x}{2} \\24\times2=x^{2} +4x\\48=x^{2} +4x\\x^{2} +4x-48=0\\[/tex]

This can only be solved by the quadratic formula.

[tex]x=\frac{-b\pm\sqrt {b^{2}-4ac }}{2a}[/tex]

where;

[tex]a=1\\b=4\\c=-48[/tex]

and we get,

[tex]x=-2\pm2\sqrt13[/tex]

Answer:

754 divided by 13= 58

I hope this Helps! ;)

Answer:

Step-by-step explanation:

So first you add them together which gives you infinity and then you divide infinity by (139+285) then keep doing it until you realise this is a scam

Answer:

3y-2x=-2

The straight line meets the X-axis when y = 0

Hence, 3(0) - 2(x) = -2

2x = 2

x = 1

Therefore, the coordinates of R is (1,0)

Answer: 5/12

Step-by-step explanation: basically divide each number (10 &24) by 2

The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 10m = 393.7in

b = 6in

h = 7in

Substitute

A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches

Hence the given area of the trapezoid is 1398.9 square inches

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Answer:

The correct answer is 56. This is correct on e d g e .

Step-by-step explanation:

We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam

Answer:

I did the work and uploaded the answers i hope it helped!!

Answer: Е

Step-by-step explanation:

▪︎ a^2 - b^2 = (a-b)(a+b)

sin^2(2x) = 1

sin^2(2x) - 1 = 0

(sin2x - 1)(sin2x + 1) = 0

sin2x - 1 = 0 or sin2x + 1 = 0

sin2x - 1 = 0

sin2x = 1

2x = 90° + 360°n

x = 45° + 180°n

▪︎180° means half of the unit circle, therefore,

x = 45° + 360°n and

x = 45° + 180° + 360°n = 225° + 360°n

sin2x + 1 = 0

sin2x = -1

2x = 270° + 360°n

x = 135° + 180°n

therefore,

x = 135° + 360°n and

x = 135° + 180° + 360°n = 315° + 360°n

n is an integer

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of 10 cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(10)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 1000}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3140}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 3140}{3} }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{12560}{3} }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 4186.6 }}}}}} \\ \\[/tex]

Therefore,

Given :

To Find :

Solution :

As we know that volume of sphere is calculated by the formula :

Here,

Putting the values in the formula,

>> V = (4 / 3) × (22 / 7) × (10)³

>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)

>> V = (4 / 3) × (22 / 7) × (10 × 100)

>> V = (4 / 3) × (22 / 7) × 1000

>> V = 4 × 22 × 1000 / 3 × 7

>> V = 88 × 1000 / 3 × 7

>> V = 88000 / 3 × 7

>> V = 88000 / 21

>> V = 4190.47 cm³

The equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y

Expansion of expression can be carried out using the distributive rule a shown:

A(B + C) = AB + AC

Note that A is distributed over B and C
Given the expression

-1/4 (-8x + 12y)

-1/4(-8x) - 1/4(12y)

2x - 3y

Hence the equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y

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Answer:

y = - 2x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2 , then

y = - 2x ← equation of line

Hope this is not confusing.

Given the ratio of 5 : 3, the length of the rectangle is 45 units

The ratio is given as:

Length : Width = 5 : 3

The perimeter is given as:

Perimeter = 144

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have:

2 * (Length + Width) = 144

Divide both sides by 2

Length + Width = 72

Recall that:

Length : Width = 5 : 3

Express as fraction

Length/Width = 5/3

Make Width the subject

Width = 3Length/5

Substitute Width = 3Length/5 in Length + Width = 72

Length + 3Length/5  = 72

Multiply through by 5

5Length + 3Length  = 360

This gives

8Length  = 360

Divide both sides by 8

Length  = 45

Hence, the length of the rectangle is 45 units

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35° + 60° + x° = 180°

95° + x° = 180°

x° = 180° - 95°

x° = 85°

In any triangle, the sum of its interior angles measures 180º.

Answer:

47/6cm or [tex]7\frac{5}{6}[/tex]cm

Step-by-step explanation:

FE= [tex]2\frac{2}{3}[/tex]

FA= 5/12

AB= 2/3

CD=2

ED=[tex]1\frac{1}{4}[/tex]

BC= 5/6

All=47/6 or [tex]7\frac{5}{6}[/tex]

Assuming that you want the product of the two factors given in each problem:

 ⇒ we solve this problem by timing each unit of a factor to every unit

     of the other factor

   ⇒then add each one of them who shares a common like-term

      ⇒to get the answer

Let's solve:

            [tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]

            [tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]

            [tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]

            [tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]

            [tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]

           [tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]

Hope that helps!

Answer:

yes

Step-by-step explanation: