Mathematics High School

## Answers

**Answer 1**

**Answer: The exponential form of 1 is 1.**

**In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 1. The exponential form is simply the number with exponents.**

**Answer 2**

**Answer:**

I think 0a

**Step-by-step explanation:**

## Related Questions

600 joules of work is used to lift a box from the ground to a height of six meters. how much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?

### Answers

If a **lever **was used with an effort arm of 12 meters and a load arm of 6 meters, the work that would have been done would've been (A) 50 J.

**What does a lever do?**

Using a lever makes work simpler and quicker since it only takes a bit of effort to move a heavy load.

The efficiency of the machine goes up when the output force is bigger than the input force - the formula for this is Output **Force **divided by Input Force.

Eff = ( output force/input force ) x 100 %

The amount of force you get is determined by this equation.

F ( out ) = load x distance moved by the load

The force you put in is calculated using this equation.

F ( input ) = effort x distance moved by the effort

If we had used a lever with an effort arm of 12 meters and a load arm of 6 meters, the work that would have been done could be calculated.

work = ( 600 x 6 ) / ( 12 x 6 )

work = 50 J

Therefore, if a lever was used with an effort arm of 12 meters and a load arm of 6 meters, the work that would have been done would've been (A) 50 J.

Know more about a **lever **here:

**brainly.com/question/416386**

#SPJ4

**Complete question:**

600 joules of work are used to lift a box from the ground to a height of six meters. how much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?

a. 50 J

b. 100 J

c. 600 J

d. 72 J

If polygons are similar then what do you know about the corresponding sides and the corresponding angles ?

### Answers

**Answer:**

**Step-by-step explanation:**

In Similar polygons, the corresponding angles are congruent, but the corresponding sides are proportional. So, similar polygons have the same shape, whereas their sizes are different. There would be certain uniform ratios in similar polygons.

Please help I need help

### Answers

**Answer: e, a, f, c**

**Step-by-step explanation:**

v evenly cuts through line tv and line VS. you can tell because the single line on each side....... rest should be correct

Please help

7. There are two towns, Appleville and Bananaville. Appleville had a population of 3,000

people in the year 2000. Bananaville had a population of 1,000 in the same year.

Appleville's population has increased by 500 each year since. Bananaville's population

increases by 30% each year.

a. Write an equation to represent the population of Appleville, a, in x years after the year

2000.

b. Write an equation to represent the population of Bananaville, b, in x years after the year

2000.

c. What year will the population of Bananaville be larger than the population of Appleville?

### Answers

On solving the provided question, we can say that the solution of the **System of Equation **3000 + 500x = 1000*

What is System of Equation ?

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

A system of equations consists of two or more equations and looks for common answers. "A collection of equations fulfilled by the same set of variables is called a system of linear equations."

The point provides a singular solution to the system of equations if the two lines cross at the same location. There are an endless number of solutions in the situation when the two lines meet, and there is none in the case where the two lines are parallel.

The equation for Appleville is

3000 + 500x, in x years after the year 2000

The equation for Bananaville is

1000* , in x years after the year 2000

The solution of the equations

3000 + 500x = 1000*

To learn more about **System of Equation **refer to :

brainly.com/question/29291137

#SPJ1

When a scaled copy is bigger than the original The scale factor is greater than 1?

### Answers

The **scaled** copy is bigger that means each side is bigger than the original one or the factor is grater tan 1 as final length(bigger)/ original > 1

**What is dilation ? **

In mathematics, a dilation is the enlargement or contraction of a figure by a predetermined **scale factor**, k, at or around a center of dilation. It is a transformation style that yields comparable figures.

Depending on the scale factor, the original figure will either enlarge or decrease in size. Scaling, also known as **dilations**, has no impact on how angles are measured.

The original and updated figures' angles will not change because the size has not changed but the shape has. Preimage and image are two terms that can be used to describe the first and new figures, respectively.

The original figure's vertices are identified with capital letters, such as B, to make it easier to identify between two similar figures.

The scaled copy is bigger that means each side is bigger than the original one or the factor is grater tan 1 as final length(bigger)/ original > 1

To learn more about **Dilation** refer to :

brainly.com/question/29811168

#SPJ4

Katie would go to the park everyday and each day she recorded how many dogs were in the park. Day 1: there was 4 dogs , Day 2: 3 dogs , day 3: 6 dogs , Day 4:1 dog and day 5: 8 dogs. Over the next 3 weeks the same amount of dogs turned up each day. How many dogs turned up each day did she see over 3 weeks?

### Answers

The **total number** of dogs that turned up per **day** for the 3 weeks are;

Day 1 = 12 dogs

Day 2 = 9 dogs

Day 3 = 18dogs

Day 4 = 3 dogs

Day 5= 24 dogs

To find the total number of dogs:

If the same **amount **of dogs turned up each **day** over the three weeks then we have;

For week 1

Day 1 = 4 dogs

Day 2 = 3 dogs

Day 3 = 6 dogs

Day 4 = 1 dog

Day 5 = 8 dogs

Total for the week = 22 dogs

For week 2

Day 1 = 4 dogs

Day 2 = 3 dogs

Day 3 = 6 dogs

Day 4 = 1 dog

Day 5 = 8 dogs

Total for the week = 22 dogs

For week 3

Day 1 = 4 dogs

Day 2 = 3 dogs

Day 3 = 6 dogs

Day 4 = 1 dog

Day 5 = 8 dogs

Total for the week = 22 dogs

For the 3 weeks

Day 1: 4 x 3dogs = 12 dogs

Day 2: 3 x 3dogs = 9 dogs

Day 3: 6 x 3dogs = 18dogs

Day 4: 1 x 3dogs = 3 dogs

Day 5: 8 x 3dogs = 24 dogs

Total dogs seen in the 3 weeks = 66 dogs

Learn more about **simple addition** here: https://brainly.com/question/24536701

#SPJ1

The sum of the Atlantic

Ocean’s average depth (in feet) and

its greatest depth is 43,126. Use the

information in the graph to write and

solve an equation to find the average

depth of the Atlantic Ocean. Show

that your answer is reasonable.

### Answers

The average depth of the Atlantic Ocean is given by the **equation **

A = 12,880 feet

**What is an Equation?**

**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

Let the average depth of the Atlantic ocean be A

From the graph the sum of the Atlantic Ocean’s average depth (in feet) and its greatest depth is 43,126 feet

The greatest depth of the Atlantic ocean is D = 30,246 feet

So , the **equation **will be

A + D = 43,126 feet be **equation **(1)

Substituting the values in the **equation **, we get

A + 30,246 = 43,126

On simplifying the **equation **, we get

Subtracting 30,246 on both sides of the **equation **, we get

A = 43,126 - 30,246

A = 12,880 feet

Therefore , the value of A is 12,880 feet

Hence , the average depth is 12,880 feet

To learn more about **equations **click :

https://brainly.com/question/19297665

#SPJ1

If the quadrilateral ABCD is reflected across the x-axis, what will be the coordinates of B’?

### Answers

The **coordinate **of the point **reflection **across the x-axis will be (3, -6). Then the **correct **option is A.

What is a transformation of a point?

A spatial **transformation **is each mapping of feature space to itself and it maintains some spatial correlation between **figures**.

The **reflection **does not change the shape and size of the geometry. But **flipped **the **image**.

The **quadrilateral **ABCD is shown. The **coordinate **of point B is (3, 6).

If the quadrilateral ABCD is **reflected **across the **x-axis**. Then the **coordinates **of B' will be given as,

B' = (3, -6)

The **coordinate **of the point **reflection **across the x-axis will be (3, -6). Then the **correct **option is A.

More about the **transformation of a point** link is given below.

https://brainly.com/question/27224339

#SPJ1

What is the value of 2 Â½?

### Answers

The **value **of 2 Â½ is 2.5. As 2 Â½ is the same as **mixed** **fraction **2 ½ = 5/2.

2 ½ is a **mixed** **number**, it is a **whole** **number **combined with a **fraction**. In this case, 2 is the whole number and Â½ is the fraction. The value of 2 ½ is calculated by adding the value of the **whole number** to the value of the fraction.

The value of the whole number 2 is 2, and the value of the **fraction **½ is 0.5. To find the **value** of 2 ½, we add 2 to 0.5:

2 + 0.5 = 2.5

So, the value of 2 ½ is 2.5.

It's important to note that **mixed numbers **are used to represent numbers that are between two **whole** **numbers**, they consist of a whole number and a proper fraction. This mixed number representation is commonly used in everyday life, and it's easy to understand.

To learn more about **fractions**, visit:

brainly.com/question/12220774

#SPJ4

Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box. If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?

### Answers

The total number of books that Jarrod packed into boxes can be represented by **84 + x*12.**

The total number of books that Jarrod packed into boxes can be found by multiplying the number of boxes he packed with the number of books per box.

In this case, Jarrod packed 6 boxes of science textbooks with 14 books per box, so the number of books in the science boxes is **614 = 84**. He also packed math textbooks with 12 books per box, so the number of books in the math boxes can be represented by **x*12**, where x represents the total number of boxes he packed.

So the total number of books that Jarrod packed into boxes can be represented by 84 + x*12.

Therefore, the equation that can be used to find the total number of books that Jarrod packed into boxes is: **84 + x*12 **= Total number of books.

To learn more about Equations:

https://brainly.com/question/2972832

7.3 revised quiz part 1

Given DF bisects

### Answers

On solving the provided question, we can say that angle are given a 9n - 3 + 8n +9 = 60; angle 1 = 24 and **angle **2 = 33

what are angles?

In **Euclidean geometry**, an angle is a shape made up of two rays, referred to as the angle's **sides**, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

here,

angle are given as

9n - 3 + 8n +9 = 60

17n = 60-6

17n = 54

n = 3.1764705882 = 3

n = 3

angle 1 = 24

angle 2 = 33

To know more about **angles** visit:

https://brainly.com/question/14569348

#SPJ1

17 exceeds one-eighth of a number by 9. what is the number?

### Answers

The **number** that satisfies the given **condition** is x= 64.

What are equations?

**Equation**: A declaration that two **expressions** with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the **solutions** to these questions have been the driving forces behind the creation of mathematics.

Let the number be x.

Then one eight of the number can be represented as follows: [tex]\frac{1}{8}x[/tex]

The number 17 exceeds by 9, this is written as [tex]\frac{1}{8}x + 9 =17[/tex]

Using the equation, we find the value of x by isolating the variable:

[tex]\frac{1}{8}x + 9 =17\\\\x+ (8)(9) = (17)(8) \\\\x = 136 - 72\\\\x=64[/tex]

Hence the number x that satisfies the given condition is 64.

Learn more about **equations** here:

https://brainly.com/question/12431044

#SPJ1

To prepare for a half-marathon, Colleen recently had 3 training runs. The table shows how far she ran in each session and how long it took.

### Answers

Colleen's **velocity increased **from the first section to the second section, while it remained **constant **from the second section to the third section.

How to obtain the velocity?

The measures in this problem are obtained considering the **relation **between velocity, distance and time.

The relation between velocity, distance and time states that the **velocity **is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which:

v is the velocity.d is the distance.t is the time.

For **session 1,** considering decimal numbers, the parameters are given as follows:

Time of 2.2 hours, as 2 + 1/5 = 2 + 0.2 = 2.2.Distance of 9.9 miles.

Hence the **velocity **is of:

v = 9.9/2.2 = 4.5 miles per hour.

For **session 2, **the parameters are given as follows:

Time of 2.5 hours.Distance of 11.875 miles.

Hence the **velocity **is of:

v = 11.875/2.5 = 4.75 miles per hour.

For **session 3, **the parameters are given as follows:

Time of 3.25 hours.Distance of 15.4375 miles.

Hence the **velocity **is of:

v = 15.4375/3.25 = 4.75 miles per hour.

Missing Information

The table is given by the image presented at the end of the answer.

More can be learned about **velocity, distance and time **at brainly.com/question/4931057

#SPJ1

reflection across the y-axis

N(-3, 1), G(0, 4), B(-1, 1)

### Answers

The required **reflection** of the points N(-3, 1), G(0, 4), B(-1, 1) across the y-axis are N(3, 1), G(0, 4), B(1, 1) .

Explain reflection across y-axis.

Point (x, y) is reflected **across **the x-axis as (x, -y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the **additive inverse.**

According to question:

We have,

N(-3, 1), G(0, 4), B(-1, 1)

While, find reflected points we are **considering** y-axis as **mirror,**

Then,

Reflection of point N(-3, 1) across the y-axis

⇒ N(3, 1)

Reflection of point G(0, 4) across the y-axis

⇒ G(0, 4)

Reflection of point B(-1, 1) across the y-axis

⇒ B(1, 1)

Thus, required reflected points are N(3, 1), G(0, 4), B(1, 1) .

To know about **y-axis** visit:

brainly.com/question/24751711

#SPJ1

Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x? (4 points) A coordinate plane is shown. Points are graphed at 1 comma 0.5 and 4 comma 2. The points are joined by a line.

### Answers

The correct statement is (A) the points on the line would indeed be a part of the **equation **y = 0.5x.

**What are proportional relationships?**

Relationships between two variables that are proportional occur when their **ratios **are equal.

Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value.

The** "constant of proportionality" **is the name of this constant.

Observing the graph, the line traverses (0, 0). We obtain y=0.5(0)=0 if x=0.

Since this is the point's** y-coordinate,** it passes through this.

Y=mx+b, where m is the slope and b is the y-intercept, is the slope-intercept form equation for this line.

m=0.5 and b=0 in this equation.

This indicates that the **slope** is 0.5 or 1/2; as slope = rise/run, this indicates that the line rises one for every increase in the horizontal **dimension **of two.

This implies that starting from (0, 0), we would climb 1 and cross 2 to make the spot (2, 1).

When examining the graph, the line passes through this location.

We would then ascend 1 and cross over 2 once more to (4, 2). Once more, the line passes through this spot.

Therefore, the correct statement is (A) the points on the line would indeed be a part of the **equation **y = 0.5x.

Know more about the** proportional relationships **here:

**https://brainly.com/question/12242745**

#SPJ1

**Complete question:**

Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x?

A. Yes, the points shown on the line would be part of y = 0.5x

B. Yes, all proportions can be shown on a graph of this line

C. No, the points shown would not be part of y = 0.5x

D. No, proportions cannot be represented on a graph

"Complete the table of values and answer these questions. Which function has the greater rate of change between 0 and 1? Which function has the greater rate of change between 1 and 2? Which function has the greater rate of change between 0 and 2?"

### Answers

1. The complete **table **is:

x | f(x) | g(x)

0 1 0

1 3 3

2 9 6

2. g(x) has the greater **rate of change** between 0 and 1 is: g(x).

3. f(x) has the greater **rate of change** between 1 and 2 is: f(x).

4. f(x) is greater.

How to Find the Rate of Change between an Interval?

The **rate of change** = f(b) - f(a) / b - a.

Given the following **functions** as:

f(x) = 3^x

g(x) = 3x

1. Complete the **table** by plugging in each of the values of x:

x | f(x) | g(x)

0 f(0) = 3^0 = 1 g(0) = 3(0) = 0

1 f(1) = 3^1 = 3 g(1) = 3(1) = 3

2 f(2) = 3^2 = 9 g(2) = 3(2) = 6

2. **Rate of change** between 0 and 1:

a = 0

b = 1

For **function** f(x) = f(b) - f(a) / b - a = 3 - 1 / 1 - 0 = 2

For **function** g(x) = g(b) - g(a) / b - a = 3 - 0 / 1 - 0 = 3

The **function** with the greater **rate of change** between 0 and 1 is: g(x).

3. **Rate of change** between 1 and 2:

a = 1

b = 2

For **function** f(x) = f(b) - f(a) / b - a = 9 - 3 / 2 - 1 = 6

For **function** g(x) = g(b) - g(a) / b - a = 6 - 3 / 2 - 1 = 3

The **function** with the greater **rate of change** between 1 and 2 is: f(x).

4. **Rate of change** between 0 and 2:

a = 0

b = 2

For **function** f(x) = f(b) - f(a) / b - a = 9 - 1 / 2 - 0 = 4

For **function** g(x) = g(b) - g(a) / b - a = 6 - 0 / 2 - 0 = 3

The **function** with the greater **rate of change** between 0 and 2 is: f(x).

Learn more about the **rate of change of a function **on:

https://brainly.com/question/25184007

#SPJ1

Sophie plotted thee point in the coordinate plane: (1, 1), (–5, 1), (–3, 5), (–1, 5). What hape i created when thee vertice are connected?

### Answers

Sophie **plotted** the point in the **coordinate** plane: (1, 1), (–5, 1), (–3, 5), (–1, 5) so, when the **vertices** are connected the **shape** formed is a **rectangle**.

The internal angles of a rectangle, which has **four sides**, are all exactly 90 degrees. At each corner or **vertex**, the two sides come together at a straight angle. The rectangle differs from a **square** because its two opposite sides are of **equal length.**

A rectangle is a type of quadrilateral that has its **parallel** sides equal to each other and all four **vertices** are equal to 90 degrees. Hence, it is also called an equiangular **quadrilateral**.

Thus, when Sophie plotted the **point** in the coordinate plane: (1, 1), (–5, 1), (–3, 5), (–1, 5), the vertices **connected** form the **shape** of a **rectangle**.

To know more about **rectangles** visit: brainly.com/question/29123947

#SPJ4

Write equations for the horizontal and vertical lines passing through the point (6, 5).

### Answers

x=8 is the equation for a **vertical line** passing through this place and y=7 is the equation for a horizontal line traveling through this place.

what is equation ?

It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a **prime number.** An equation seems to be a statement that has nearly identical sides and an equality sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a mathematical **expression** is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.

given

The value of x, in this case 8 for a vertical line, is constant. For whatever value of y, this will hold true. In light of this,

x=8 is the equation for a vertical line passing through this place.

The value of y, in this case 7, will also never change for a horizontal line. For whatever value of x, this will hold true. In light of this,

y=7 is the equation for a horizontal line traveling through this place.

To know more about** equation **visit:

https://brainly.com/question/649785

#SPJ1

In a random sample of 9 residents of the state of Montana, the mean waste recycled per person per day was 2.8 pounds with a standard deviation of 0.68 pounds. Determine the 90% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal.

Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

### Answers

The** confidence interval **is given as : 2.379 < u < 3.221

How to solve for the confidence interval

How to solve for the confidence interval

we have the following details to solve the problem with

n = 9 residents

mean = x = 2.8

s = 0.68

**significance level** ∝ = 1 - c

= 1 - 0.9

= 0.1

the confidence interval is given as:

C.I = x ± t ∝/2 , n - 1 * s/√n

t ∝/2 , n - 1 is the** critical value.** This is = 1.859

C.I = 2.8 ± 1.859 * 0.68 / √9

C.I = 2.8 ± 0.421

C.I = 2.8 - 0.421, 2.8 + 0.421

C.I = 2.379 < u < 3.221

Read more on **confidence interval **here: https://brainly.com/question/15712887

#SPJ1

Simplify the expression 2v+8v-5v

### Answers

[tex]2v+8v-5v[/tex]

Combine Like Terms:

[tex](2v+8v-5v)[/tex]

[tex]\fbox{5v}[/tex]

PLEASE HELP!!! I NEED HELP WITH MY HOMEWORK!!!!

(GEOMETRY)

### Answers

**Answer:**

3.here,tan45°=10/n

or,1=10/n

:.n=10

Now from Pythagoras theorem,

m²=(10)²+n²

or,m=√100+100

:.m=10√2

*mark me brainliest

3 yes!!! because if you do the move to when we yes ABSOLUTELY!! hope this helps!!

What is the equation of a line that passes through the points (10,4) and (20,8)? Write the equation in proper slope-intercept form.

### Answers

**Answer:**

what is the difference between 880 and 580

Can a domain be all numbers?

### Answers

Yes, a** domain** can be all numbers. This type of domain is called a **numerical domain**.

A **numerical domain **is a set of numbers that is used to define a function. It is usually represented by the formula D= {x: x is a real number}. This formula can be used to calculate the domain of a given function by determining which values of x, or the** independent variable**, produce a valid output. Numerical domains are becoming increasingly popular as they are easier to remember than domains composed of letters and **hyphens**. They can also be used to represent a business’s contact information, such as a phone number or street address. When registering a numerical domain, it is important to ensure that it is not already taken, as numerical domains are becoming increasingly sought after. For example, if a function is defined as f(x) = x2 + 3, then the domain would be all real numbers, since any real number would produce a **valid output**.

Learn more about **numerical domain **here:

https://brainly.com/question/28022127

#SPJ4

Please help me with this problem

### Answers

The **variable **for the number of wraps and the number of gift bags are **x **and **y**.

What are linear and non-linear functions?

A linear function can be used to depict a straight line on the coordinate plane. The equation y = 3x - 2 serves as an illustration of a linear function since it represents a **straight line **in the coordinate plane.

Nonlinear functions are those whose graphs do not follow a straight line. A graph of it can be any curve other than a straight line.

A quadratic function is an illustration of a non-linear function.

Let, The number of wraps be '**x**' and the number of gift bags be '**y**'.

Therefore, From the given information **x + y = 25** and **6x + 2y = 110**.

Solving this linear system graphically we have an intersection (x, y)

at (15, 10).

learn more about **linear systems **here :

https://brainly.com/question/21404414

#SPJ1

cos 2x + 3 = 4 can some one help me with finding all solutions

### Answers

**Answer:**

x=0 or x=pi / x=πn

**Step-by-step explanation:**

cos2x + 3 = 4

subtract 3 from both sides

cos2x = 1

take the inverse cos/arccos of both sides

arccos(cos2x) = arccos(1)

2x=0 or 2x=2pi

divide both sides by 2

x=0 or x=pi

beyond (0,2pi) for every possible answer you should do x=(pi)n since any multiple of pi gives you the same answer

David has a weekend job cleaning windows. He charges different amounts for different size windows. Choose the statement below that is true. A The size of the window depends on the price charged. B The price charged depends on the size of the window. C The size of the window depends on how long it takes to wash. D The time it takes to wash a window depends on the price charged.

### Answers

The **price** charged **depends** on the **size** of the **window**.

Option (B) is correct.

**What is a direct proportion?**

**Direct** **proportion** is a **relationship** between two **variables**, where the **ratio** of their **values** is always **constant**. This means that if one variable **increases**, the other variable will also increase in the same **ratio**.

B) The price charged depends on the size of the window.

The statement that is true is that the price charged by David for cleaning windows depends on the size of the windows. It means that the larger the window, the more David charges for cleaning it. The size of the window is a factor in determining the price and not the other way around.

Hence, the **correct** **statement** would be "The **price** charged **depends** on the **size** of the **window**.".

To learn more about the **direct** **proportion**, visit:

https://brainly.com/question/1266676

#SPJ1

What is the total number of years that must pass before only 25. 00 grams of an original 100. 0-gram sample of c-14 remains unchanged?.

### Answers

The total number of **years** that must pass before only 25 grams of an original 100-gram **sample** of C-14 remains unchanged is approximately 5,730 years.

This is because C-14 has a **half-life **of approximately 5,730 years. Half-life is the amount of time it takes for half of a sample of a radioactive element to decay. Therefore, after 5,730 years, half of the original sample of 100 grams of C-14 will have decayed, leaving 50 grams remaining.

After another 5,730 years, half of the remaining sample (25 grams) will have **decayed**, leaving only 25 grams remaining. This means that it takes 5,730 years for half of the sample to decay and another 5,730 years for half of the remaining sample to decay, resulting in a total of 5,730 x 2 = 11,460 years for the entire sample to decay to 25 grams.

It is important to note that **C-14 dating** is a method of determining the age of organic materials, such as wood, bones, and teeth, by measuring the amount of C-14 remaining in the sample. This technique is widely used in archaeology, geology, and other fields to date materials that are thousands of years old.

For more questions like **C-14 dating** click the link below:

https://brainly.com/question/4702203

#SPJ4

which statement best describes the liquid state of matter

a) it has define shape but indefinite volume

b) it has define shape and definite volume

c) it has indefinite shape and indefinite volume

d) it has indefinite shape but define volume

### Answers

**D) it has indefinite shape but define volume**

**Liquids take shape of whatever container you put them in but flow freely if un-restrained, it has a volume because it doesn't grow or disappear unless acted upon**

Solve for x . The polygons in each pair are similar

### Answers

According to **quadrant** geometry value of x is 7

**What is quadrant in geometry?**

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a **quadrant**. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Write a **proportion** using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.

4(14) = 8(-7+2x)

56 = -56 + 16x

112 = 16x

x=7

To know more about quadrant visit:-

brainly.com/question/14380402

#SPJ1

Question:

Solve for x . The polygons in each pair are similar

Katie would go to the park everyday and each day she recorded how many dogs were in the park. Day

1: there was 4 dogs, Day 2: 3 dogs, Day 3: 6 dogs, Day 4: 1 dog and Day 5: 8 dogs. Over the next 3 weeks the same amount of dogs turned up each day. How many dogs did she see over the 3 weeks?

### Answers

**Answer:**

Katie recorded a total of 4 + 3 + 6 + 1 + 8 = 22 dogs over the first 5 days. If the same number of dogs turned up each day for the next 3 weeks, then she would have seen the same number of dogs per day for an additional 21 days (3 weeks * 7 days/week = 21 days). So in total, over the 3 weeks, she would have seen 22 dogs/day * 21 days = 462 dogs.

**Step-by-step explanation:**