Hector paid $68 for a taxi ride. This driver has a sign above his mirror that recommends a 20% tip. Estimate the amount the driver expects to be tipped to the nearest dollar.

Answer:

The function of the graph is y = 3 cos (4x) ⇒ answer A

Step-by-step explanation:

- If the equation is y = A cos (B x)  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

  divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

* Lets look to the graph

- The maximum value is 3 and the minimum value is -3

∵ The height from the maximum point to the minimum point is

   3 - (-3) = 3 + 3 = 6

∴ The amplitude is 6/2 = 3

∵ A is the amplitude

∴ A = 3

- The distance between two consecutive peaks is π/2

∵ The period is the distance from one peak to the next peak

∴ The period = π/2

∵ The period = 2π/B

∴ 2π/B = π/2 ⇒ divide both sides by π

∴ 2/B = 1/2 ⇒ by using cross multiplication

∴ B = 4

- Lets write the form of the function

∵ y = A cos (Bx)

∵ A = 3 and B = 4

∴ y = 3 cos (4x)

* The function of the graph is y = 3 cos (4x)

Answer:

B if you mean (-2)^(-3)

Step-by-step explanation:

(-2)-3=-5

But based on the answers I think you meant to write (-2)^(-3)

which means 1/(-2)^3

So we have 1/(-2*-2*-2)=1/-8 or -1/8

Answer:

B. -1/8.

Step-by-step explanation:

I guess you mean (-2)^-3

= 1 / (-2)^3

= 1 / -8

= -1/8.

Answer:

9

Step-by-step explanation:

for the expression y(x+x)+3, we can first simplify:

y(2x)+3

then we can substitute 1 for x and 3 for y:

3(2*1)+3

multiply inside the parenthesis:

3*2+3

multiply 3 and 2:

6+3

add 3:

9

Therefore, this evaluates to 9

y( x + x) + 3, where x = 1 and y=3

Plug 1 in for x and 3 in for y like...

3( 1 + 1) + 3

To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

Parentheses

3( 1 + 1) + 3

3(2) + 3

Exponent

There are none so go on to the next step

Multiplication

3(2) + 3

6 + 3

Division

There are none so go on to the next step

Addition

6 + 3

9

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Yes it is equivalent.

Step-by-step explanation:

In this case the only thing that you have to do to know if the two expressions are equivalent are put them on opposite sides of the equation like this:

6f-1= 2f+4f+2-3

When you simplify this you´ll end up with the next equation:

6f-1= 6f -1

In this case you can see that both expressions are equivalent because they are the same once you put them on opposite sides of the equation.

Area of rectangle is the product of its length and breadth. It is measured in unit squared. When the length and breadth are increased by 2 feet then the area of the given rectangular patio becomes 88 sq ft.

A rectangular patio is 9 ft by 6 ft.

The length of the rectangular patio is 9 ft.

The breadth of the rectangular patio is 6 ft.

Area of rectangle is the product of its length and breadth. It is measured in unit squared

The equation is given for the problem is,

[tex](6 + x)(9 + x) = 88[/tex]

On solving the above equation we get,

[tex]x^2+6x+9x+54= 88[/tex]

[tex]x^2+15x+54-88=0[/tex]

[tex]x^2+15x-34=0[/tex]

Find the value of x by using split the middle term method,

[tex]x^2+17x-2x-34=0[/tex]

Using the split the middle term method we get the two factor,

[tex](x+17)(x-2)=0[/tex]

Equate the above equation to zero we get the values of the x are -17 and 2.

Taking positive value of x and keeping it into the given equation we get,

[tex](6 + x)(9 + x) = 88[/tex]

[tex](6 + 2)(9 + 2) = 88[/tex]

[tex]8\times 11=88[/tex]

[tex]88=88[/tex]

Hence When the length and width are increased by 2 feet then the area of the given rectangular patio becomes 88 sq ft.

Learn more about the area of the rectangle here;

https://brainly.com/question/14383947

Ginger is solving for 'x' in a quadratic equation to find the amounts by which the length and width of the original 9 ft by 6 ft patio must be increased to achieve an area of 88 sq ft.

The student is working on a quadratic equation derived from the area of a rectangle. The original dimensions of the patio are 9 ft by 6 ft, which, when both the length and width are increased by the same amount 'x', the new area becomes 88 sq ft. Ginger is thus solving the equation (6 + x)(9 + x) = 88 using the zero product property.

By expanding this, we get a quadratic equation in the form of x^2 + 15x + 54 = 88, which can be simplified to x^2 + 15x - 34 = 0. The zeros of this function will give us the values of 'x' where the new dimensions of the patio result in an area of 88 sq ft. Consequently, the solutions 'x' are the amounts by which the length and width of the original patio would need to be increased to reach the new area.

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-2}x+\stackrel{\stackrel{y}{\downarrow }}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}m=(y₂-y₁) / (x₂-x₁)[/tex]

It is given that:

A line with slope –2 and y-intercept 4.

The linear equation in one variable can be made:

As we know,

The standard equation of the line is:

y = mx + c

Here m is the slope and c is the y-intercept.

m = -2

c = 4

y = -2x + 4

Thus, the equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

Learn more about the slope here:

brainly.com/question/3605446

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Answer:  [tex]\bold{y=\dfrac{59}{34}}[/tex]

Step-by-step explanation:

   5x + 2y = 7   ⇒   2(5x + 2y = 7)   ⇒   10x +  4y  =  14

  -2x + 6y = 9  ⇒   5(-2x + 6y = 9)  ⇒  -10x + 30y = 45

                                                                         34y = 59

                                                                       ÷34   ÷34

                                                                             y = 59/34

Answer:

y=59/34

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Hello!

Answer:

[tex]\boxed{A=7}\checkmark[/tex]

The answer should have a positive sign.

Step-by-step explanation:

First, you add by 16 from both sides of an equation.

[tex]8a-16+16=40+16[/tex]

Then, simplify.

[tex]40+16=56[/tex]

[tex]8a=56[/tex]

Therefore, divide by 8 from both sides of an equation.

[tex]\frac{8a}{8}=\frac{56}{8}[/tex]

Finally, you simplify and solve to find the answer.

[tex]56\div 8 =7[/tex]

[tex]\boxed{x=7}[/tex], which is our correct answer.

I hope this helps you!

Have a great day! :)

-Charlie

To solve for a you must isolate it, meaning that a must be the only thing on the left side of the equation.

To do this first add 16 to both sides (what you do on one side you must do to the other). Since 16 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

8a + (- 16 + 16) = 40 + 16

8a + 0 = 56

8a = 56

Next divide 8 to both sides to finish isolating a. Since 8 is being multiplied by a, division (the opposite of multiplication) will cancel 8 out (in this case it will make 8 one) from the left side and bring it over to the right side.

8a/8 = 56/8

1a = 7

a = 7

Check:

8(7) - 16 = 40

56 - 16 = 40

40 = 40

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]g(n)=18-4n[/tex]

Step-by-step explanation:

You are given the function g, for which

[tex]g(1)=14,\\\\g(n)=g(n-1)-4[/tex]

Find some values of this function:

[tex]g(1)=14\\ \\g(2)=g(2-1)-4=g(1)-4=14-4=10\\ \\g(3)=g(3-1)-4=g(2)-4=10-4=6\\ \\g(4)=g(4-1)-4=g(3)-4=6-4=2\\ \\...[/tex]

You can see that ecah next value is 4 less than previous one, so these values form an arithmetic sequence and you have to find the nth term of this sequence. The nth term of arithmetic sequence is

[tex]a_n=a_1+(n-1)d,[/tex]

where

[tex]a_1=g(1)=14\\ \\d=-4[/tex]

So,

[tex]g(n)=a_n=14+(n-1)\cdot (-4)=14-4n+4=18-4n[/tex]

Answer:

18-4n

Step-by-step explanation:

Answer:

A sector is a portion of a circle, it is the area between to radii and the connecting arc. Imagining a circle as a cake, a sector would be equivalent to a slice of cake. Therefore the formula for the area of a sector is equivalent to the total area of the circle multiplied by the angle proportion of the sector. Where, angle proportion of the sector = angle of sector / total angle of circle (360 degree) With this, the correct answer is: "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer: Option A

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

[tex](g \circ f)(y)=(y-1)^3-2(y-1)-1\\(g \circ f)(y)=y^3 - 3 y^2 + 3 y - 1-2y+2-1\\(g \circ f)(y)=y^3 - 3 y^2 +y\\\\(g \circ f)(-6)=(-6)^3-3\cdot(-6)^2+(-6)\\(g \circ f)(-6)=-216-108-6\\(g \circ f)(-6)=-330[/tex]

Answer:

B

Step-by-step explanation:

The slope is 2

Y int is -3

Answer:

the angle of depression is 45 degrees

Step-by-step explanation:

120(150)

angle theorem

points postulate

90/2=45

please mark brainliest and give thanks

Answer

Average/Mean: 13.7 pools

Step-by-step explanation:

When asked to find the average number of anything, you are trying to find the mean.

The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.  

To calculate it:  

• add up all the numbers,  

• then divide by how many numbers there are.

Answer:

W =2.6816

Step-by-step explanation:

Is means equals and of means multiply

W = 8% * 33.52

Change to decimal form

W = .08 * 33.52

W =2.6816

for this question, it ask you to draw out.

j + 6 ≥ 7

j ≥ 7 - 6

j ≥ 1

How to draw it:

1. draw a Solid point on the number"1".

2. draw a small vertical line on the top of the point.

3. draw a long horizontal line to number "1" 's right side, and add an arrow in the end of the line.

First bring 6 to the right side by subtracting 6 to both sides (what you do on one side you must do to the other). Since 6 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

j + 6  ≥  7

j + 6 - 6  ≥  7 - 6

j + 0  ≥  1

j  ≥  1

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

j  ≥ 1  

aka j is greater then or equal to one

This means that the graph will have an colored circle and the arrow will go to the right of 1. (look at the image below)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

a= 2, b= 3, c= 7

Step-by-step explanation:

Given the quadratic equation:

Quadratic equation in general form is:

Comparing the two above we can get following coefficients:

a= 2

b= 3

c= 7

A= 4

B= 12

C= 9

Theese are correct

Answer:

Multiply by three for every number 1*3 =3 3*3=9 9*3=27

Step-by-step explanation:

Common ratio of the geometric sequence is 3.

A geometric sequence is a sequence in which the ratio of two consecutive terms is a fixed ratio.

Given,

Geometric sequence: 1, 3, 9, 27

The ratio of second and first term = 3/1

                                                        = 3

Similarly, the ratio of third and second term = 9/3

                                                                         = 3

Hence, the common ratio of the geometric sequence is 3.

To learn more about geometric sequence visit:

https://brainly.com/question/12687794

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Answer:

Step-by-step explanation:

Given that the park is 6 miles due west of your house, and the library is 11 miles north of your house.

Thus the park and library forms the legs of a right triangle with shortest distance being the hypotenuse (provided there are no buildings in between)

We can use pythagoren theorem to find the shortest distance i.e. hypotenuse.

Shortest distance^2 =[tex]\sqrt{6^2+11^2} =\sqrt{197}[/tex]

We find that square root is 14.03

Thus shortest distance is 14 miles.

The shortest distance from the park to the library is 12.53 miles.

It is the measure of the length between the two points. It is a scalar quantity.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

The park is 6 miles due west from your house.

And the library is 11 miles north of your house.

The shortest distance from the park to the library.

Perpendicular P = 11

Bas B = 6

We know the Pythagoras theorem.

H² = P² + B²

H² = 11² + 6²

H² = 121 + 36

H² = 157

H = 12.53

Thus, The shortest distance from the park to the library is 12.53 miles.

More about the distance link is given below.

https://brainly.com/question/989117

The answer will be 238,900 miles.

If you round off 238, 854 to the nearest hundreds, you get

238,900 in miles.

Hope this helps!!!

Mark Brainliest!!!

Answer:

The answer is d.

Step-by-step explanation:

As we know, sin x= cos (90°-x)

sin 18° = cos (90°-18°)

= cos 72°.

Similarly, sin 72°= cos (90°-72°)

= cos 18°

But, sin 55°= cos (90°-55°)

= cos 35°

y - 6 = -(x + 3) and y + 2 = - (x - 5).

The line AB passes through the points A(-3, 6) and B(5, -2). Find the point-slope form.

First, we have to calculate the slope using the equation m = (y₂ - y₁)/(x₂ - x₁):

    x, y

A(-3, 6)

B( 5,-2)

m = [-2 - (6)]/[5 - (-3)] = (-2 - 6)/(5 + 3)

m = -8/8

m= -1

Writing the point-slope form equation as (y - y₁) = m (x - x₁), with A(-3, 6):

y - 6 = -1[(x -(-3)]

y - 6 = - (x + 3)

Writing the point-slope form equation as (y - y₁) = m (x - x₁), with B(5, -2):

y - (-2) = - (x - 5)

y + 2 = - (x - 5)

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3+2}{4+1}[/tex] = [tex]\frac{5}{5}[/tex] = 1

Answer: 64%

Step-by-step explanation:

You would divide 50 by 32 (32/50), and get the decimal 0.64. Multiply 0.64 by 100 and you will get 64, your percent.

Answer:A

Step-by-step explanation:

The formula is 2pir, so you divide by the 2, the pin the pi, then you have the radius, r.

ANSWER

[tex]f(a + 2) = \frac{a + 5}{a - 1} [/tex]

EXPLANATION

The given function is

[tex]f(x) = \frac{3 + x}{x - 3} [/tex]

To find f(a+2) we substitute x=a+2.

That is wherever we see 'x' we replace it with 'a+2'

[tex]f(a + 2) = \frac{3 + a + 2}{a + 2 - 3} [/tex]

We simplify further to obtain:

[tex]f(a + 2) = \frac{a + 5}{a - 1} [/tex]

This is defined for

[tex]a \ne1[/tex]

Answer:

C

Step-by-step explanation:

By observation, and inspecting the 2 given points closely, we can immediately see that both points have  y = -2 as common y-ordinates .

This means that the horizontal  line y =-2 joins these 2 points.

Answer C is correct.

Answer:

C

Step-by-step explanation:

use slope formula and slope-intercept form Y=mx=b

Answer:

⅓, -1⃣ = x

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.