Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.

9614 1404 393

Answer:

  31.5 ft

Step-by-step explanation:

The length of the arc is the product of the radius of the circle, 11 ft, and the angle measure in radians. Arc PS has radian measure ...

  (180° -16°)/180°×π = 41π/45

So, the length of arc PS is ...

  s = rθ

  s = (11 ft)(41π/45) = 451π/45 ft

  s ≈ 31.5 ft

A function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20

A relation is a function if it has only One y-value for each x-value.

Given a a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45

and that g(0) = -2 and g(-9) = 6,

x=-20 then g(-20)=-5

x=-19 then g(-19)=-4

x=-18 then g(-18)=-3

x=-17 then g(-17)=-2

x=-16 then g(-16)=-1

x=-15 then g(-15)=0

x=0 then g(0)=-2

x=-9 then g(-9)=6

By observing this we can say that as x values are decreasing the function values are increasing and vice versa

So option D is correct

Hence, a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20

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On solving the provided question, we can say that -  here in graph we have on solving equation  [tex]2x^2+ 9y^2 \\[/tex] = [tex]8 + 9 = 17[/tex]

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

[tex]2x^2+ 9y^2 \\[/tex]

[tex]8 + 9 = 17[/tex]

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Answer:

x = 4.9

Step-by-step explanation:

We can use the intersecting chords formula:

(segment piece) x (segment piece) =    (segment piece) x (segment piece)

7*7 = 10x

49 = 10x

Divide each side by 10

49/10=10x/10

4.9 = x

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Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

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The answer is 580 grams.

The number of weeks w is given by the equation w = 6 weeks

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of weeks be represented as w

The prints cost $108 plus any add-ons she wants to purchase

The amount saved by Latisha per week = $ 18

So , the total amount saved by Latisha for w weeks = 18w

Now , the equation will be

18w = 108   be equation (1)

On simplifying the equation , we get

Divide both sides of the equation by 18 , we get

w = 108 / 18

w = 6 weeks

Therefore , the value of w is 6

Hence , the number of weeks is 6 weeks

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Answer:

  3.58

Step-by-step explanation:

You want to know the weekly growth factor if the daily growth factor is 1.2.

The weekly growth factor will be the growth factor over 7 days:

  (1.2)^7 ≈ 3.58

Every week, the number of locusts grows by a factor of 3.58.

__

Additional comment

The exponential model is ...

  number = (initial number)(growth factor)^t

The period of time associated with the growth factor is the units associated with t. Since 1 week = 7 days, the multiplier for 7 days is ...

  weekly growth factor = (daily growth factor)^7

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Step-by-step explanation:

For the first term

[tex]\Rightarrow \dfrac{6}{5}=\dfrac{5+1}{5}\\\\\Rightarrow 5+\dfrac{1}{5}=5\dfrac{1}{5}[/tex]

(b)

[tex]\Rightarrow \dfrac{11}{7}=\dfrac{7+4}{7}\\\\\Rightarrow 1+\dfrac{4}{7}=7\dfrac{4}{7}[/tex]

(c)

[tex]\Rightarrow \dfrac{21}{4}=\dfrac{20+1}{4}\\\\\Rightarrow 5+\dfrac{1}{4}=5\dfrac{1}{4}[/tex]

(d)

[tex]\Rightarrow \dfrac{32}{7}=\dfrac{28+4}{7}\\\\\Rightarrow 4+\dfrac{4}{7}=4\dfrac{4}{7}[/tex]

(e)

[tex]\Rightarrow \dfrac{24}{9}=\dfrac{18+6}{9}\\\\\Rightarrow 2+\dfrac{6}{9}=2\dfrac{6}{9}[/tex]

(f)

[tex]\Rightarrow \dfrac{25}{6}=\dfrac{24+1}{6}\\\\\Rightarrow 4+\dfrac{1}{6}=4\dfrac{1}{6}[/tex]

Step-by-step explanation:

sorry tried but dont know

Answer:

Option D "The graph on the left is..."

Step-by-step explanation:

because there's no graph that ever starts on 81 lol

Answer:

7 is top answer bottom is 6, 5, and 5

Step-by-step explanation:

simple math but your welcome

Answer:

rational because the line over the three means the three repeats

decimal values that terminate or repeat are rational

Step-by-step explanation:

Answer:

Question is not clear

Step-by-step explanation:

Answer: A right triangular prism is a 3-dimensional geometric shape that has a triangular base and three rectangular faces that connect the base to the top. A rectangular prism has three pairs of rectangular faces that are congruent, these faces are perpendicular to each other and connected by edges.

So, in a right triangular prism there are 3 rectangular faces which are the lateral faces (the one that connects the base and the top)

A triangular prism also has 3 triangular faces which are the base faces

So in total, a right triangular prism has 3 rectangular faces and 3 triangular faces.

Step-by-step explanation:

Answer:

The number is 23

Step-by-step explanation:

23-10=13

Answer:

10. Yes
11. No
12. Yes
13. Yes
14. No
15. No

Step-by-step explanation:

Use the vertical line test to determine whether or not a relation is a function. The vertical line test is when you draw a line through a relation and if that line intersects the relation more than ONCE, the relation is not a function.

10. Is a function, the vertical line only intersects the relation once.
11. Isn't a function, intersects the relation more than once.
12. Is a function, intersects the relation only once.
13. Is a function, only intersects the relation once.
14. Isn't the function, intersects the relation more than once.
15. Isn't a function, the relation intersects the function more than once.

Hope this helps.

Answer:

The ordered pair that makes an equation true is called a solution

a)solution

b) not a solution

c) solution

d) solution

e)not a solution

f) not a solution

g) solution

h) not a solution

Step-by-step explanation:

The first number in an ordered pair is x, the second one is y

Plug in the numbers to x and y respectively

I'll give two examples so you know how to solve it

a) y=3x+1

-5=3(-2)+1

make sure you use pemdas (multiply first)

-5=-6+1

add

-5=-5

this is true (meaning it is a solution)

b) 6=3(-3) +1

6=-9+1

6 = -8

this is NOT true (not a solution)

If you have any questions feel free to ask

Pacquiao will have enough money (a future value of up to P7,000) to buy the gift if he deposits his money (P6,000) in an account paying 8 percent compounded semi-annually.

The future value is the compounded present value at an interest rate.

The future value can be determined using an online finance calculator, FV table, or FV formula.

N (# of periods) = 4 (2 years x 2)

I/Y (Interest per year) = 8%

PV (Present Value) = P6,000

PMT (Periodic Payment) = P0

Results:

Future Value (FV) = P7,019.15

Total Interest = P1,019.15

Thus, in 2 years' time, Pacquiao will have P7,019 enough to buy his mom a new bicycle.

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Answer:108.6

Step-by-step explanation:

The unit rate for meters per second if a car travels 424 meters in 8 seconds is 53 meters per second.

The unit rate meters per second can be determine using this formula

Unit rate meters per second = Number of meters / Numbers of seconds

Where:

Number of meters = 424 meters

Numbers of seconds = 8 seconds

Let plug in the formula

Unit rate meters per second  = 424 meters / 8 seconds

Unit rate meters per second = 53 meters per second

Therefore we can conclude that the Unit rate meters per second  is 53 meters per seconds.

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Answer:  -7/5

Step-by-step explanation:

Answer:

a-b is greater than

Step-by-step explanation:

The solution of the system of equations:

y = 3x - 4

y = (-1/2)*x + 3

Is (2, 2).

Here we have the following system of equations:

y = 3x - 4

y = (-1/2)*x + 3

To solve this graphically, we just need to graph both equations on the same coordinate axis, and find a point where these two graphs intercept.

Below you can see the graph of the system, and there you can see that the lines intercept at the point (2, 2), so that is the solution of the system.

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Answer:

9.6 hours

Step-by-step explanation:

12×8 would equal the amount of hours it takes to complete the job in 12 days so you simply divide that number by 10 which will give you 9.6h

Answer:

6.67 hour per day

Step-by-step explanation:

If

=8 hours a day = 12 days

then

= ? = 10 days

= 10/12 × 8hours per

= 6.67 hours per day.

Answer:

702

Step-by-step explanation:

A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.

What is the density of the block?

Enter your answer in the box.

702

Answer:702

Step-by-step explanation:

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.

A) The dresses for films set in the 1700s would be 60%.

B) The percentage of dresses that are not for films set in the 1700s is 40%.

C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.

D) The percentage of dresses that are not for films set during the civil war era is 85%.

What is a percentage?

The percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". It is used to express a proportion of a number out of 100. It is useful in many applications such as finance, statistics, and other fields.

A. Three-fifths of the dresses can be used for movies that take place in the 1700s, which is 3/5 * 100 = 60%.

B. The percent of the dresses that are not for films set in the 1700s is 100% - 60% = 40%. This is found by subtracting the percentage of dresses that are used for 1700s movies from 100%.

C. The percent of the dresses that can be used for films set in the 1700s or during the civil war era is 60% + 15% = 75%. This is found by adding the percentage of dresses that can be used for 1700s movies and the percentage of dresses that can be used for civil war era movies.

D. The percent of the dresses that are not for films set during the civil war era is 100% - 15% = 85%. This is found by subtracting the percentage of dresses that are used for civil war era movies from 100%.

Hence,

A) The dresses for films set in the 1700s would be 60%.

B) The percentage of dresses that are not for films set in the 1700s is 40%.

C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.

D) The percentage of dresses that are not for films set during the civil war era is 85%.

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