Smith family had dinner at the restaurant. The cost of their meals was $45. They wanted to leave the waiter a 10% tip. They had a $50 bill.
How much change would they receive after paying for the food and leaving the tip?

Answer:

Step-by-step explanation:

I'm ASSUMING you want to find n where g(n) = 8

g(n) = a/n

g(4) = 9 = a/4

          a = 36

g(n) = 8 = 36/n

         n = 36/8 = 4.5

Answer:

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions \(V(r)= \pi r^{3}\) and \(C(V)=3.2V\), where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

\(C(V(r))=3.2(\pi r^{3} )\)

Therefore, the right answer is the last choice.

The value of x in the similar triangle is 20 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

In other words, similar triangle have corresponding angles congruent to each other and corresponding sides as a ratio of each other.

Therefore, let's find the side x of the triangle.

Hence,

x / 8√5 = 8√5 / 16

cross multiply

16x = (8√5)(8√5)

16x = 64(5)

16x = 320

divide both sides by 16

x = 320 / 16

x = 20

Therefore,

x = 20 units

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Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

Answer:

12 ft

Step-by-step explanation:

See image

Answer:

Step-by-step explanation:

The median of a set of values is the value that divides it into two equal subsets. One containing all the values that are less than the median, and another containing all the values that are greater than the median.

For a set with an odd number of values, the central value, when the set is written in ascending order, corresponds to the median.

For a set whit an even number of values, there are two central values (when written in ascending order). And the median corresponds to the mean of those two central values.

The given set is 7,-9,7,-9,-9,-1, which has an even number of values. So, after writing it in ascending order, we need to find the mean of the two central values:

-9, -9, -9, -1, 7, 7

The two central values are -9 and -1. And their mean is:

[-9 + (-1)]/2 = (-9 - 1)/2 = -10/2 = -5

Therefore, the median is -5.

Answer:

You distribute first 2 into the parentheses

2x-20 Is your answer

thats all you do

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Answer:

8 po yan po sagot ko .. correct me if I wrong

Answer:

(0, 7/3), (1, 2/3), (2, -1).

Step-by-step explanation:

Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.

-5x - 3y = -7

Substitute variable.

-5(0) - 3y = -7

Remove the term multiplied by 0.

-3y = -7

Divide by -3.

y = -7/-3

-a/-b = a/b.

y = 7/3

This makes the coordinate (0, 7/3)

-5x - 3y = -7

Substitute variable.

-5(1) - 3y = -7

Multiply.

-5 - 3y = -7

Add 5 to both sides.

-3y = -2

Divide by -3.

y = -2/-3

-a/-b = a/b.

y = 2/3.

This makes the coordinate (1, 2/3)

-5x - 3y = -7

Substitute variable.

-5(2) - 3y = -7

Multiply.

-10 - 3y = -7

Add 10 to both sides.

-3y = 3

Divide by -3.

y = 3/-3

-a/a = -1.

y = -1.

This makes the coordinate (2, -1).

Answer:

y = mx+b, or mx+b = y

Step-by-step explanation:

y = .75x + 6

Answer: did you get the answer ?

Step-by-step explanation:

Answer:

827.5 I guess is the answer

Answer:

6 827.472 8.27471 × 102

5 827.47 8.2747 × 102

4 827.5 8.275 × 102

3 827 8.27 × 102

2 830 8.3 × 102

1 800 8 × 102

827.4715

Sig Figs

7

Decimals

4

Scientific Notation

8.274715 × 102

Words

eight hundred twenty-seven point four seven one five

Answer:

Explanation:

so its referring to perimeter.

you add all values together.

 this would equal 34.995 .

so, its 34.995 meters of fencing.

The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.

We know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

In option B, we have

y > -3 ----> inequality A

y ≥ 2/3x - 4 ----> inequality B

In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.

Inequality A

y > -3 ----> is true

Inequality B

y ≥ 2/3x - 4 ----> is true

Therefore

The ordered pair is a solution of the system B

As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.

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Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

If a train traveled 300 miles. The time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

Distance = Rate × Time

Time =Distance/Rate

1. 50 mph

Time = 300/50

Time = 6 hours

2. 70 mph

Time = 300/70

Time = 4.29 hours

3. x mph

Time = 300/x

Time = 300/x hours

4. (x+10)mph

300/(x+10) hours

5. (x-5)mph

300/(x-5) hours

Therefore the  time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

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Answer:

sin 5pi/4 I'm not sure solve

Answer:

Step-by-step explanation: Hello!

To find angle EOD, you are already given two angle measurements.  The measure of angle AOB is 55 degrees and the measure of angle BOC is 30 degrees.  The important thing that you have to remember to solve this problem is that vertical angles are congruent. (I won't be explaining the definition of vertical angles, but you can find a lot of images and explanations online). This means the two angles formed by two lines intersecting each other in any way is always congruent.  Angles AOB and EOD are congruent by the definition of vertical angles.  This means that the measure of angle EOD is 55 degrees.  

Now, you have to find the measurement of angle DOC.  By the definition of straight lines, you know that the angles formed by a straight line all add up to 180 degrees.  This means that:

EOD + DOC + COB = 180 degrees.  You are already given two of these measurements.  (Angle EOD which you just figured out and Angle COB which was already given).  Fill these numbers in the equation.

55 + DOC + 30 = 180.  Combine like terms (55 + 30)

85 + DOC = 180.  Then subtract 85 from both sides using the subtraction property of equality.

(85 - 85) + DOC = (180 - 85)

DOC = 95.

The measure of angle DOC = 95.

You can check this by substituting the new measurement for angle DOC back into the equation.

Does 55 + 30 + 95 = 180?

85 + 95 = 180

180 = 180.

The measure of angle DOC is 95 degrees and the measure of angle EOD is 55 degrees.

The volume of the log will be 30,70,760 m³.

Mathematically, we can write Archimedes principle as -

F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}

Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.

Since the log floats on water, the density of both the log and water is same.

So, we can write volume as -

Volume = 3080 x 997 Volume = 30,70,760 m³

Therefore, the volume of the log will be 30,70,760 m³.

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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

scale factor of 3

Step-by-step explanation:

[character limit pass]

Answer:

\(x^{\frac{2}{3} }\)

Step-by-step explanation:

⇒ \(x^({\frac{4+2}{3}) } ^{\frac{1}{3} }\)

⇒ \((x^{\frac{6}{3} })\)

⇒ \((x^{2} )\frac{1}{3}\)

⇒ \(x^{\frac{2}{3} }\)

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

Step-by-step explanation:

2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4

If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.

It is obtained from the table that the length of trails A, B, and  C will be 2.6, 1.8, and 4.2 miles.

It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.

= 2.6 + 1.8, + 4.2 miles.

= 8.6 miles

The length of trail D is,

= 12 miles - 8.6 miles

= 3.4 miles.

Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

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Answer:

Step-by-step explanation:

52 weeks in a year

Divide 52 by 2 = 26 weeks

26 weeks x 147 dollars = 3822 dollars

Thus the answer is 3822 dollars yearly

Answer:$3,528

Step-by-step explanation:

since there are 4 weeks in a month that would mean you would have to multiply 147 by two and that would = to $294.00/month so then you would have to multiply that by 12 so then that would = to $3,528.00 a year.

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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Answer:

g(x) = 4x² - x

General Formulas and Concepts:

Algebra II

Functions

Calculus

Integration

Integration Rule [Reverse Power Rule]:                                                               \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Property [Multiplied Constant]:                                                         \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Integration Property [Addition/Subtraction]:                                                       \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)

Step-by-step explanation:

*Note:

Integrating a piecewise function requires you to integrate both parts.

Step 1: Define

Identify.

\(\displaystyle f(x) = \left \{ {{8x - 1 ,\ x \leq 4} \atop {31 ,\ x \geq 4}} \right.\)

\(\displaystyle \int {f(x)} \, dx = \left \{ {{g(x) + C ,\ x \leq 4} \atop {31x + C ,\ x \geq 4}} \right.\)

Step 2: Find function g(x)

We can see that the 2nd part of the piecewise function already has been integrated:

To find function g(x), we simply have the same setup:

The integration constant C is already included in the answer, so our answer is g(x) = 4x² - x.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration (Applications)