Solve the equation for x by graphing
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Answer:  [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]

Step-by-step explanation:

A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.

[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]

Answer:

52°

Step-by-step explanation:

<D = 360 - (78+106 + 124)

<D = 360 - 308

<D = 52°

Answer:

52

Step-by-step explanation:

<106+ 78+ 124>= 308

360-308=52

HOPE THIS HELPS!!!

Answer:

[tex](6x^2 -5) (x^2 +2 )[/tex]

Step-by-step-explanation:

We are given the following expression and we are to factorize it by grouping:

[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]

We will group the first two terms and the last two terms to get:

[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]

For the first group we need to factor out x^2 and for the second group we will factor out 2.

[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]

[tex](6x^2 -5) (x^2 +2 )[/tex]

Answer is 36

150 • 24= 3,600

3,600/100= 36

Answer:

A. 48.35°, 94.94°, 36.71°

Step-by-step explanation:

Given,

ABC is a triangle,

In which AB = 12 miles, BC = 15 miles and AC = 20 miles,

By the cosine law,

[tex]BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A[/tex]

[tex]2(AC)(AB)cos A=AC^2+AB^2-BC^2[/tex]

[tex]\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)[/tex]

Similarly,

[tex]cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)[/tex]

[tex]cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)[/tex]

By substituting the values in equation (1),

[tex]cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458[/tex]

[tex]\implies m\angle A\approx 48.35^{\circ}[/tex]

Similarly, from equation (2) and (3),

[tex]m\angle B\approx 94.94^{\circ}[/tex]

[tex]m\angle C\approx 36.71^{\circ}[/tex]

Hence, Option 'A' is correct.

ANSWER

[tex]y-1= \frac{1}{3} (x- 6)[/tex]

EXPLANATION

We want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.

The slope of this line is negative reciprocal of -3.

[tex]m = - \frac{1}{ - 3} = \frac{1}{3} [/tex]

The point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and the slope to get;

[tex]y-1= \frac{1}{3} (x- 6)[/tex]

Answer:

y - 1 = 1/3*(x - 6)

Step-by-step explanation:

point-slope form of a line:

y - y1 = m*(x - x1)

where x1 and y1 are the coordinates of the point included in the line and m is its slope.

Two lines are perpendicular when the multiplication of their slopes is equal to -1. In this case,

m*(-3) = -1  

m = 1/3

Replacing this slope and the coordinates of point (6, 1) we get:

y - 1 = 1/3*(x - 6)

Answer:

d

Step-by-step explanation:

4 times the number of booths and 20 people.

Answer:

The width of the rectangle is  [tex]9\ units[/tex]

Step-by-step explanation:

Let

x----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

[tex]A=xy[/tex]

[tex]A=36\ units^{2}[/tex]

so

[tex]36=xy[/tex] ------> equation A

[tex]x=y-5[/tex] -----> equation B

substitute equation B in equation A and solve for y

[tex]36=(y-5)y[/tex]

[tex]y^{2}-5y-36=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]y=9\ units[/tex]

see the attached figure

therefore

The width of the rectangle is  [tex]9\ units[/tex]

Answer: 9 units.

Step-by-step explanation:

Let x be the width of the rectangle .

Then, the length would be x-5.

Area of rectangle = Length x Breadth

[tex]=(x-5)x=x^2-5x[/tex]

Since ,  The area of the rectangle is 36 units.

[tex]\Rightarrow\ x^2-5x=36\\\\\Rightarrow\ x^2-5x-36=0\\\\\Rightarrow\ x^2-9x+4x-36=0\\\\\Rigtarrow\ x(x-9)+4(x-9)=0\\\\\Rightarrow\ (x-9)(x+4)=0\\\\\Rightarrow\ x=9 , -4[/tex]

But width cannot be negative , so width = x= 9 units

Hence, the width of the rectangle = 9 units.

It looks incomplete, but all linear functions are going to have *ALL REAL NUMBERS*.

Answer:?

Step-by-step explanation: what am I exactly reading it would better help if you typed it.

Answer:

see explanation

Step-by-step explanation:

Given

5x² - 4 - 8x

To find the zeros equate to zero and rearrange into standard form, that is

5x² - 8x - 4 = 0 ← in standard form

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 4 = - 20 and sum = - 8

The factors are - 10 and + 2

Use these factors to split the x- term

5x² - 10x + 2x - 4 = 0 ( factor the first/second and third/fourth terms )

5x(x - 2) + 2(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(5x + 2) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex]

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

The sum of the zeros = - [tex]\frac{b}{a}[/tex]

The product of the zeros = [tex]\frac{c}{a}[/tex]

with a = 5, b = - 8 and c = - 4

The sum = 2 - [tex]\frac{2}{5}[/tex] = [tex]\frac{8}{5}[/tex]

and - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{5}[/tex] = [tex]\frac{8}{5}[/tex]

Thus verified

The product = 2 × - [tex]\frac{2}{5}[/tex] = - [tex]\frac{4}{5}[/tex]

and [tex]\frac{c}{a}[/tex] = [tex]\frac{-4}{5}[/tex] = - [tex]\frac{4}{5}[/tex]

Thus verified

Answer:

4, 1

Step-by-step explanation:

The equation of the given line in slope-intercept form, y = 4x + 1.

If a line has a slope of m, and a y-intercept of b, the equation of the line in slope-intercept form is y = mx + b.

The slope of the line = rise/run = 8/2

Slope (m) = 4

The y-intercept (b) = 1

Substitute m = 4 and b = 1 into y = mx + b

y = 4x + 1

The equation is y = 4x + 1

Learn more about equation of a line on:

https://brainly.com/question/13763238

3x^2 - 15x + 3x - 15

3x^2 - 12x -15

Answer: =3 x 2 − 12x −15

Step-by-step explanation:

=(3x + 3)(x+−5)

=(3x)(x) + (3x)(−5)+(3)(x)+(3)(−5)

=3x2 − 15x+ 3x − 15

Therefor, the answer is = 3x 2 − 12x − 15

* hopefully this helps:) Mark me the brainliest:)!!!

Answer:

Option D. The maximum number of rides is 11

Step-by-step explanation:

Let

r -----> the number of rides

we have

[tex]5.00+1.00r \leq 16.00[/tex]

Solve for r

[tex]1.00r \leq 16.00-5.00[/tex]

[tex]1.00r \leq 11.00[/tex]

[tex]r \leq 11.00[/tex]

The maximum number of rides is 11

therefore

Tom can spend at most $16.00 at the carnival

The price of admission to the carnival is $5.00

Each ride costs an additional $1.00

The maximum number of rides is 11

Answer:

The answer is D

Step-by-step explanation:

Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?

Answer:

{1, 17}

Step-by-step explanation:

x2 − 18x + 81 = 64 can be rewritten as x² - 18x + 81 = 64.

Next, x² - 18x + 81 can be rewritten as (x - 9)²

so that we now have:

(x - 9)² = 64.

Taking the sqrt of both sides, we get

x - 9 = ± 8

Then one root is x = 9 + 8 = 17, and the other is x = 9 - 8 = 1.

{1, 17} is the set of roots

Answer:

A.) x=17 or x=1

Step-by-step explanation:

answer for this question is 1/16

72 divided by 9 = 8

Hope I helped

Answer:

The answer is simple. If there is $8 an hour and works for 12 hours, just multiply 8 by 12, which is 96. He will earn $96 in a week

Step-by-step explanation:

He make $8 per hour.

He works a total of 12 hour in one week.

12 hours • $8 = $96

He makes $96 in one week.

Answer:

3.3 inches of air in the bag.

I don't know how to get the second part. Hope this helps! :)

Answer:

a < [tex]\frac{31}{2}[/tex]

Step-by-step explanation:

Given

a - 15 > - 40 - 6 + 3a ← simplify right side

a - 15 > - 46 + 3a ( subtract a from both sides )

- 15 > - 46 + 2a ( add 46 to both sides )

31 > 2a ( divide both sides by 2 )

[tex]\frac{31}{2}[/tex] > a ⇒ a < [tex]\frac{31}{2}[/tex]

Answer:

We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.

The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given the data in the question;

First, we calculate the volume of the cube wood block.

Volume of a cube v = a³

v = ( 0.3m )³

v = 0.027m³

Now, we determine the density.

p = m / v

p = 18.954kg / 0.027m³

p = 702kg/m³

Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.

Learn more about density here: https://brainly.com/question/952755

#SPJ2

Answer:

175.415

Step-by-step explanation:

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

     =  8^2 + 4^2

     = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

      =  64 + 111.41

      = 175.415

!

Answer:

(3, 2)

Step-by-step explanation:

This is a system of equations so I'll solve it using the 'Addition method'.

3x - 2y = 5 | x + 2y = 7

Add the two equations together to get:

4x = 12

x = 3

Then we solve for y using the 2nd expression because it's easier.

3 + 2y = 7

2y = 4

y = 2

The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.

To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.

Steps to Find the Intersection

Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.

Answer:

the answer is A.  1  9/16 cubic feet

Step-by-step explanation:

V = lwh

V = (5/3 ft) (5/4 ft) (3/4 ft)

V = 75/48 cu. ft.

V = 25/16 cu. ft.

V = 1  9/16 cu. ft

the degree of the polynomial would be 10.

the degree of the above polynomial is (a)10

A i think

its basically x>15

x is amount needed right

Answer: The correct answer would be D. , And A can not the answer because that answer choice represents the absolute value because of the 2 lines around 15 . Hope this clarifys everything.

Step-by-step explanation:

Because in the problem it says " more than 15 assignments" so we would put the more than or equal sign. So the more than or equal to 15 assignments. Therefor, D, represents the situations.

* Hopefully this helps:) Mark me the brainliest :)

∞ 234483279c20∞

Answer:

$35.64

Step-by-step explanation:

$5.78 + $19.87 + $24.99 = $50.64

$50.64 - $15 = $35.64

Answer:

35.64

Step-by-step explanation:

24.99 + 19.87 + 5.78 = 50.64

50.64 - 15= 35.64

Answer:

The volume of the candle is [tex]147\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (candle) is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=5/2=2.5\ in[/tex] ----> the radius is half the diameter

[tex]h=7.5\ in[/tex]

substitute

[tex]V=\pi (2.5)^{2} (7.5)[/tex]

[tex]V=46.875\p\ in^{3}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]V=46.875(3.14)=147\ in^{3}[/tex]

Answer:

the answer is -3 ihope your happy

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

o.5 x -2= -1

For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:

[tex]Sin (53) = \frac {x} {10}[/tex]

We clear x:

[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]

Rounding:

[tex]x = 8[/tex]

ANswer:

8.0

Answer:

x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer

Step-by-step explanation:

     sin Ф = opp/hyp                    

    sin 53 = x/10

10 sin 53 = x

            x = 7.99

  cos Ф = adj/hyp

   cos 37 = x/10

10 cos 37 = x

             x = 7.99