Sketch the graph of the function y = 3sin⁡(2x) - 1

[tex]\left(\sqrt x - \sqrt{3y} \right) \left(\sqrt x + \sqrt{3y} \right)\\\\=\left(\sqrt x\right)^2 - \left(\sqrt{3y} \right)^2\\\\=x -3y[/tex]

x - 3y

Solving Stepwise:

[tex]\hookrightarrow \sf \left(\sqrt{x}-\sqrt{3y}\right)\left(\sqrt{x}+\sqrt{3y}\right)[/tex]

[tex]\hookrightarrow \sf \left(\sqrt{x}\right)^2-\left(\sqrt{3y}\right)^2[/tex]

[tex]\hookrightarrow \sf x-3y[/tex]

The domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].

All functions are relations in which there is no value of the domain related to more than one value of the range, functions in explicit form related the variable of the range in terms of the variable of the domain.

Based on the information shown in the graph, the domain is represented by the set of values of the time, that is, the horizontal axis, and the range is represented by the set of values of the height, that is, the vertical axis.

Hence, the domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].

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Answer:

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

_____

Additional comment

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

Answer:

2 x 10 x 4 + (4 + 10) x 2 x 6 = 80 + 168 = 248

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=50\\ r=36 \end{cases}\implies \begin{array}{llll} A=\pi (50-36)\implies A=14\pi \\\\\\ A\approx 44.0 \end{array}[/tex]

Answer:

15

Step-by-step explanation:

Trust me it 15.

Too long to explain...

Answer:

Surface area of the rectangular prism=

Step-by-step explanation:

Given Dimensions of the rectangular prism are:

[tex]Length(L)=16yards[/tex]

[tex]Width(w)=2yards[/tex]

[tex]Height(H)=1.5yards[/tex]

Surface Area of a rectangular prism=

                                          [tex]2(L*W+W*H+H*L)[/tex]

                                          [tex]=2(16*2+2*6+6*16)[/tex]

                                          [tex]=2(32+12+96)[/tex]

                                          [tex]=2(140)[/tex]

                                     [tex]=140yards^2[/tex]

The surface area of the rectangular prism is [tex]140yards^2[/tex]

Answer: 254.5

Step-by-step explanation:

Based on the information the amount that Agnes paid as state income tax is $2,040.

Federal Income Tax is the tax system in the United States, levied and governed by Internal Revenue Services (IRS) which helps determine the tax that is charged on the income earned by individuals, corporates, and various other legal entities.

The first step is to calculate Agnes' federal taxable income.

Federal taxable income=$15449.60/0.284

Federal taxable income= $54,400

The second step is to calculate Agnes' state income tax.

State income tax=0.0375 ×$54,400

State income tax=$2,040

Hence, the amount that Agnes paid as state income tax is $2,040.

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Answer:

its d

Step-by-step explanation:

An expression has numbers, variables, and mathematical operations. The other factor of the given binomial is a²+7a+10 except (a+5) is (a+2).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To find the other factor of the binomial a²+7a+10, we can write it as,

[tex]a^2+7a+10\\\\=a^2+5a+2a+10\\\\=a(a+5)+2(a+5)\\\\=(a+5)(a+2)[/tex]

Thus, the other factor of the given binomial is a²+7a+10 except (a+5) is (a+2).

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Answer:

(a + 2)

Step-by-step explanation:

area of circle = πr²           (where "r" is the radius)

===========

Here the radius: 3 ft

Area:

[tex]\cfrac{(21x^5y^8)^2}{3x^2}\implies \cfrac{((3)(7)x^5y^8)^2}{3x^2}\implies \cfrac{3^2\cdot 7^2x^{5\cdot 2}y^{8\cdot 2}}{3x^2}\implies \cfrac{3^2}{3}\cdot \cfrac{7^2 x^{10} y^{16}}{x^2} \\\\\\ 3\cdot 7^2 x^{10}\cdot x^{-2} y^{16}\implies 3\cdot 49x^{10-2}y^{16}\implies 147x^8y^{16}[/tex]

The perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] ,  [tex]x^2-24x+144[/tex]Expression 2 and 4 are correct.

A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.

The second and fourth expression seems to be the perfect square let's check it.

Expression 2;

[tex]x^2 + 14x+49 \\\\ x^2+7x+7x+49 \\\\ x(x+7)+7(x+7)\\\\ (x+7)(x+7) \\\\ (x+7)^2[/tex]

Expression 4;

[tex]x^2-24 x +144 \\\\ x^2-12x-12x+144 \\\\ x(x-12)-12(x-12) \\\\ (x-12)^2[/tex]

Hence the perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] ,  [tex]x^2-24x+144[/tex] .Expressions 2 and 4 are correct.

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Answer:

Options 2 and 4

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)

e

The number of degrees that have been turned by the car when it travels from town a to town b will be 1080°.

From the information given, it was stated that it took a car 3 hours to travel from town a to town b and the wheel of a car completes a rotation.

In this case, a rotation is 360°, since there are 3 rotations, the degrees will be:

= 360 × 3

= 1080°

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#SPJ1

Answer: 4 1/12

Step-by-step explanation:

Answer:

779

Step-by-step explanation:

Aiming to get the value of formula

Given that

50° + 80² = 140°.

:: Cos140² = 100 + 700²³ - R²

kaw of ousines axivox. T

·· R² = 607246

R≈ 780 miles

• The result is T80 miles

Answer:

x=-4

or

x=-5

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((0 -  2x2) -  18x) -  40  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -2x2 - 18x - 40  =   -2 • (x2 + 9x + 20)

Trying to factor by splitting the middle term

3.2     Factoring  x2 + 9x + 20

The first term is,  x2  its coefficient is  1 .

The middle term is,  +9x  its coefficient is  9 .

The last term, "the constant", is  +20

Step-1 : Multiply the coefficient of the first term by the constant   1 • 20 = 20

Step-2 : Find two factors of  20  whose sum equals the coefficient of the middle term, which is   9 .

     -20    +    -1    =    -21

     -10    +    -2    =    -12

     -5    +    -4    =    -9

     -4    +    -5    =    -9

     -2    +    -10    =    -12

     -1    +    -20    =    -21

     1    +    20    =    21

     2    +    10    =    12

     4    +    5    =    9    That's it

Answer:

80

Step-by-step explanation:

-50+x=30

x=80

Answer:

im pretty sure its 80

Step-by-step explanation:

Answer:

555

Step-by-step explanation:

The packs the colors came in and the colors do not matter. The initial value of crayons is 555.

Answer:

2 option hope it helps

Hence, option D is correct.

[tex]\dashrightarrow \sf \sqrt{\sqrt[3]{2}}[/tex]

apply radical rule

[tex]\dashrightarrow \sf \left(2^{\dfrac{1}{3}}\right)^{\dfrac{1}{2}}[/tex]

apply exponent rule

[tex]\dashrightarrow \ \sf 2^{\dfrac{1}{6}}[/tex]

Answer:

16

Step-by-step explanation:

400 miles / 1 gallon every 25 miles = 16 gallons total  

Answer:

63 + 10

Step-by-step explanation:

when you do parenthesis and the number is next to another one with no symbol you multiply so 4-2 = 2 2 x 5 = 10 giving you 63 + 10

Answer:

63

Step-by-step explanation:

You get the answer by multiplying the radius by 2 to get the diameter and then multiplying the result by pi or 3.14, which gives you 62.83 and then round it up which is 63

Answer:

Step-by-step explanatio the way the question is phrased Is confusing

[tex]8 \times 60 = 480 \: \: min[/tex]

For 3 people

____________________________________________

Thus for each person it may take :

[tex]480 \div 3 = 160 \: \: min[/tex]

And for 5 people it will take :

[tex]160 \times 5 = 800 \: \: min[/tex]

Answer is 780 minutes

2.6 hours = 1 person

8/3 = 2.66 (continuing)

5 x 2.6 = 780 minutes (13 hours)

So, 5 people = 780 minutes

780, if rounded, = 800

[tex]\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{x^2-y^2} \\\\\\=\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{(x+y)(x-y)}\\ \\\\=\dfrac{x-y+3(x+y)+2}{(x+y)(x-y)}\\\\\\=\dfrac{x-y+3x+3y+2}{(x+y)(x-y)}\\\\\\=\dfrac{4x+2y+2}{(x+y)(x-y)}\\\\\\=\dfrac{2(2x+y+1)}{(x+y)(x-y)}[/tex]

Answer:

length = 20 feet and width = 5 feet

Step-by-step explanation:

Volume is equal to volume = height * width * length. The questions tells us the total volume is 200 cubic feet and that the lenght is equal to length = 4w. Set up the equation 4w * w * 2 = 200 cubic feet. Multiply to get 8w^2 = 200 and solve for w.