Mathematics High School

## Answers

**Answer 1**

**Answer:**

9%

**Step-by-step explanation:**

So first we need to find how much interest he got in a single year.

3600 ÷ 5 = 720

Now we find out how much 720 is compared to 8000.

720 ÷ 8000 = 0.09

Then we make that a percentage:

9%

## Related Questions

ANOW is rotated 90° about the origin.

Draw the image of this rotation.

### Answers

The rotation of the triangle is shown with the new **coordinates **N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).

**What are coordinates?**A pair of numbers that use the horizontal and vertical separations from the two reference axes to describe a **point's location** on a **coordinate plane. **Typically represented by the** x-value** and** y-value** pair (x,y).

So, a point (x, y) becomes (-y, x) if it is rotated 90° anticlockwise with respect to the origin.

Since, N = (-7, -3) ⇒ N' = (3, -7)O = (-5, 4) ⇒ O' = (-4,-5)W = (-2, 1) ⇒ W' = (-1, -1)

(Refer to the image attached below)

Therefore, the rotation of the triangle is shown with the new **coordinates **N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).

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help i’m haveing a hard time

### Answers

The result of the** function** f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

The function is f(x) = x+6

The function is an expression that shows the relationship between one variable and another variable. One variable will be **independent variable** and another variable will be **dependent variable.**

The given function f(x) = x+6 when x =-2, 0 and 5. Here we have to substitute the values of x in the given function

f(x) = x+6

f(-2) = -2+6

= 4

f(0) = 0+6

= 6

f(5) = 5+6

= 11

Hence, the result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

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C. Find the equation of a line passing through (2, 2) and having inclination 30º.

### Answers

The **equation of line** is (y-2) = 1/[tex]\sqrt{3}[/tex](x-2)

What is **Equation of line?**

**The equation of a line **is the algebraic representation of a line using cartesian coordinates.

The general form of the equation of a straight line is written as y = mx + cy=mx+c.

Where m is the gradient of the straight line

and c is the y-intercept of the straight line.

And

The **equation of line** passing through point ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) is

(y-[tex]y_{1}[/tex]) = m (x-[tex]x_{1}[/tex])

Given line in the graph passes through (2,2).

We have to find the **equation of the line.**

Given, angle of inclination is 30.

m = tan (angle of inclination)

m = tan 30

m = 1/[tex]\sqrt{3}[/tex]

Therefore after substituting, **equation of line**

(y-2) = 1/[tex]\sqrt{3}[/tex](x-2)

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Help me. I'm so stinking confused.

### Answers

**Answer: There are 7 coffee shops per square mile**

**Step-by-step explanation:**

1,400,000/100,000=14

14x17=238

238/34=7

please help, question is on the image.

### Answers

The number of **gigabytes Salma** can use while staying in her budget is less than 4.

What is meant by the term inequality?

In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.

Rule 1: Once** inequalities **are linked, they can be crossed. As a result, if an is greater than b and b is higher than c, a will be greater than c as well.Rule 2: When you swap the values, this same sign also flips.Rule 3: An inequality could be either > or, but not both at the same time.

As per the given question;

The total budget of** Salma **is $75.

The** flat cost **is $55.

The cost per gigabytes is $5.

Let the number of gigabytes used be 'x'.

Then, the inequality becomes.

55 + 5x < 75

Subtracting 55 from both sides.

55 + 5x - 55 < 75 - 55

5x < 20

Divide both sides by the 5

x < 4

Thus, the number of **gigabytes Salma** can use while staying in her budget is less than 4.

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x^2+25 find a polynomial corresponding factored form

### Answers

By using algebraic handling, the **factored form** of the **polynomial** is (x + i 5) · (x - i 5).

How to factor a quadratic equations

In this question we have the case of a **quadratic equation** of the form y = x² + b², the **factored form** of this **polynomial** consists in a equivalent form consisting in a product of simpler terms. There is a similar expression whose formula is:

x² - a² = (x + a) · (x - a)

Now we proceed to modify the expression into a factored form:

x² + 25 Givenx² - (- 25) - (- a) = ax² - [(- 1) · 25] (- a) · b = - a · bx² - i² · 25 Definition of complex number(x + i 5) · (x - i 5) Difference of squares / Results

The **factored form** of the **polynomial** x² + 25 is (x + i 5) · (x - i 5).

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Which point is located on the y axis iready

### Answers

0,-3 point because the 0 is the only number on the actual y-axis out of all of these

Simplify.

3/2(x+3/4)−(x+1)

### Answers

**Answer:**

x/2 + 1/8

**Step-by-step explanation:**

3/2(x+3/4) - (x+1)

3/2x + 9/8 - x -1

x/2 + 1/8

find the angles of this

### Answers

**Angles** of ∠y is 45° and ∠x is 135°.

What are angles?

An **angle** is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given Data

SRQ = 130°

∠R = 130°

As PR is the same line

So. **angles** of the **line** is 180°.

∠Y + ∠R = 180

∠y = 180 - 135

∠y = 45°

Now, PQ is the **straight** line

∠y +∠x = 180

∠x = 180-45

∠x = 135°

**Angles** of ∠y is 45° and ∠x is 135°.

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4p−5(p+6) Help plssss

### Answers

**Answer:** -p - 30

**Step-by-step explanation:**

We will **simplify** the **expression**.

Given:

4p - 5(p + 6)

Distirubte the negative 5:

4p - 5p - 30

Combine like terms:

-p - 30

Probability of an event

A class is made up of 10 boys and 10 girls. Half of the boys wear glasses. A student is selected at random from the class. What is the probability that the

student is a boy with glasses?

Write your answer as a fraction in simplest form.

### Answers

**Answer: **¼ or 25% or 0.25

**Step-by-step explanation:**

5 boys = 25% of the class

5/20

¼ or 25% or 0.25

Convert 0.17 to a fraction in simplest form and a percent.

### Answers

**Answer: 17/100, which would be 17%**

**Step-by-step explanation:**

Sara is multiplying two factors; one is a whole number and one has two decimal places. She says the product could have one decimal place. Is she correct? Give an example and explain your reasoning.

### Answers

In relation to the** division** of a whole number by a decimal, Sarah made an incorrect claim.

What is whole number ?

A number without **fractions **or** decimals** is said to be entire. **Whole numbers **include 1, 10, and 1000 as examples.

What is decimal ?

A **decimal number** is one that is made up of both **integers **and non-integers. **Decimal numbers** include 1.1, 2.2, and 100.234. A number with two digits following the decimal point is said to have two decimal places. Examples include 10.23 and 1.23

Assume that 2 is the entire number and that 2.23 is the decimal. The final value would be 4.46.

Assume that 100 is the entire number and that 2.23 is the decimal. The item is 223.

This demonstrates that having two decimal places on a **product** is not always necessary.

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After a 65% reduction, you purchase a new washing machine on sale for $224. What was the original price of the washing machine?

The original price was ___$

### Answers

**Answer:**

**$369.60**

**Step-by-step explanation:**

65% = 0.65

1.00 + 0.65 = 1.65

$224 * 1.65 = $369.60

the original price was **$369.60**

**Answer:**

The original price was 640

**Step-by-step explanation:**

Let the price be x

100%-65%=35%

35%/100%*x=224

35x=22400

x=640

13. A jeweler wants to make a triangular pendant for a necklace using three pieces of wire. He

has two pieces of wire with lengths of 12 millimeters and 15 millimeters. Describe the possible

lengths for the third wire.

### Answers

Diameter =35mm

∴ Circumference of circle

=2×π×r =2×π×17.5=110mm

i) The total length of the silver wire required

= Circumference of circle + (5×35)

=110+175 = 285mm

(ii) The area of each sector of the brooch

=

10

Area of circle

=

10

π×17.5×17.5

=

4

385

mm

2

A plane flew at a constant speed between Boston and Philadelphia. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is d=350t. How long will it take the airplane to travel 280 miles?

### Answers

Based on the equation that relates the **distance traveled **by the **plane **going from Boston to Philadelphia, the time it would take for the plane to travel 280 miles is 48 minutes

How to find the time taken?

You can use the formula given to find the amount of **time **taken by the plane to** travel 280 miles. **

The formula is;

d=350t

distance travelled = 350 x time

Solving for **time taken** gives;

280 = 350 x time

Time = 280 / 350

Time = 0.8 hours x 60 minutes per hour

Time = 48 minutes

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Jill wants to rent a car. Rental Company A charges $40 per day plus $0.10 per mile driven. Company B charges $35 per day plus $0.15 per mile driven. After how many miles driven will the price charged by each company be the same?

### Answers

Considering the definition of an equation and the way to solve it, after **100 miles** driven the price charged by each company will be the same.

Definition of equation

An equation is the **equality** existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear in addition to certain known data.

The **solution** of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, **keep in mind**:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

Being "x" the number of miles driven, and knowing that:

Rental Company A charges $40 per day plus $0.10 per mile driven. → Price of company A= 40 +0.10xRental Company B charges $35 per day plus $0.15 per mile driven. → Price of company B= 35 +0.15xThe price charged by each company is the same,

the** equation** is:

Price of company A= Price of company B

40 +0.10x= 35 +0.15x

Solving:

40 - 35= 0.15x - 0.10x

5= 0.05x

5 ÷ 0.05= x

*100= x*

Finally, after **100 miles** driven the price charged will be the same.

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A new car worth $21,000 is depreciating in value by $3,000 per year. After how many years will the car's value be $3,000?

After__years, the car's value will be $3,000.

### Answers

**Answer:**

After **6** years, the car's value will be $3000

=================

Given

Initial value = $21000,Depreciation rate = $3000 per year.

To find

**Number of years** to reach $3000 in value.

Solution

This is a** linear relationship**, with **initial value being the y-intercept** and **depreciation rate being the slope** of the line:

y = 21000 - 3000x, where y- the value of the car after x years.

Since **y = 3000**, plug it in and **find the value of x**:

3000 = 21000 - 3000x3000x = 21000 - 30003000x = 18000x = 18000/3000**x = 6**

2x - y = 7

Find the x and y intercept

### Answers

Answer:

y-intercept = -7

x-intercept = 3.5

Explanation:

y-intercept: 2x - y = 7 rearranges to y = 2x - 7 and in y = mx + b form, b is the y-intercept.

x-intercept: To find x-intercept, substitute y with 0 and solve for x. You get x = 3.5.

Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.

m arcPQR

### Answers

In the illustration above, a circle with a few **lines intersecting** at various locations is shown. So, if we split the circle in half, the resulting semicircle has a vertical angle of 180 degrees. Since ∠ROP = 125°, ∠POS = 55° is obtained by taking 180° away from 125°. ∠POS and ∠QOR are equivalent terms. Also, ∠ROP = ∠QOS.

What is** lines intersecting**?

In a plane,** intersecting lines** are any two or more lines that cross one another. The point of intersection, which can be found on all **intersecting lines**, is where the crossing lines share a common point.

the characteristics of **intersecting lines**

The **intersecting lines** (two or more) never cross over at more than one location.

Any angle may be used to intersect the lines in any direction. Always larger than 0° and less than 180°, this angle is generated.

A pair of vertical angles are created by two **intersecting lines**. The vertical angles have the same vertex and are opposing angles (which is the point of intersection).

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Wally and drake both wanted to see the moons of jupiter. they each wanted to buy a telescope that sold for $62.48. together they had a total of $95. how much more money did they have left to save?

### Answers

The amount of **money** Wally and Drake have left to save is equal to **$29.96** if each one of them wanted to buy a telescope.

The amount of money left to be saved can be calculated by using an **algebraic expression**.

First, we determine the cost of two telescopes if each one of them wanted to buy a telescope to see the moons of Jupiter.

As the cost of one **telescope** is $62.48, the cost of two telescopes will be;

62.48 + 62.48 = 124.96

An algebraic expression can be given as;

95 + x = 124.96

where x is the money left to be saved.

Solving for x;

x = 124.96 - 95

x = 29.96

Hence, $29.96 is the amount left to be saved for each one of them to buy a microscope.

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The coordinates of the endpoints of line segment se are s(-7,3) and e(2,-6). if point m is on se, what are the coordinates of m such that sm:me is 1:2?

### Answers

By applying the **section formula** between three points A, C and B we find that the **coordinate **of m is ( -4, 0)

Let's suppose we have a line on which we have 3 linear dots A, C, and B respectively, in this we have to use the **section formula**,

Where A = x1, y1

B = x2, y2

C = m:n

According to the **section formula**

C = (mx2 = nx1) / m+n * (my2 + ny1) / m+n

Sm/ Me = 1/2

Using **section formula **:

the **coordinates** of m = (2-14)/1+2 , (-6+6) / 1+2

the **coordinates** of m = ( -12/3 , 0/3)

the coordinates of m = ( - 4 , 0 )

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Which of the contexts below could not be modeled by an exponential function?

A music service has a fixed monthly cost and charges $0.75 for each downloaded

song.

A town's population shrinks at a rate of 4.2% every year.

A population of 200 bacteria triples every week.

A radioactive compound decays at a rate of 10% per hour.

### Answers

**Answer:**

**The music service one**

Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is CCC and scale factor is 222.

### Answers

The image of **triangle **ABC△ABC triangle, A, B, C under a dilation whose center is CCC and **scale factor **is 222. The dimensions of the new triangle are 8.2, 12.8, and 10.2 units. The graph of the Δ is given below.

What is a transformation of a point?

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

The △ABC is given below.

The dimensions of **triangle **are approximately 4.1, 6.4, and 5.1.

And **scale factor** of the dilation is 2.

If △ABC is dilated by the scale factor of 2 as a center of C.

Then dimensions of the new △A'B'C will be

A'C = AC × 2

A'C = 4.1× 2

A'C = 8.2 units

B'C = BC × 2

B'C = 6.4 × 2

B'C = 12.8 units

B'A' = BA × 2

B'A' = 5.1 × 2

B'A' = 10.2 units

Then the dimensions of new **triangle **are 8.2, 12.8, and 10.2 units.

The **graph **of **triangle **is given below:

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Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride.

The function f(x) = -1.25x + 64 can be used to determine how much money he has left over after x rides? What does f(17) represent?

Group of answer choices

Your friend paid for 17 rides and spent $42.75.

Your friend paid for 17 rides and had $37.25 left over.

Your friend paid for 17 rides and had $42.75 left over.

Your friend paid for 17 rides and spent $37.25.

### Answers

The function f(17) **represent** your friend paid for 17 **rides** and had $42.75 **left over.**

What is an **equation**?

An equation is an **expression** that shows the **relationsh**ip between two or more numbers and variables.

Equations are classified based on** degre**e (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be** dependent or independent**. Dependent variables depend on other variable while an independent variable do not depend.

Let f(x) represent the** amount t**hat the rider has left over after** x rides**.

f(x) = -1.25x + 64

f(17) = -1.25(17) + 64 = 42.75

f(17) = $42.75

f(17) represent the **money left**

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a. Find the length of each side of the quadrilateral. What do you notice?

b. Find the slope of each side of the quadrilateral. What do you notice? Are any sides parallel or perpendicular?

c. Find the length of each diagonal (the segment that goes from one vertex to an opposite verter), What do you notice?

d. Find the slope of each diagonal. What do you notice?

(1. List the properties that you find, (Ex. Are all sides congruent? Perpendicular? Etc)

### Answers

(a) The **lengths** of **RE, EC, CT, **and** TR** are **8, 13, 8, **and** 13**, respectively.

(b) The **slopes** of **RE, EC, CT, **and** TR** are **0, not defined, 0, **and** not defined**, respectively.

(c) The **lengths** of **RC** and **ET** are **√233** and **√233**, respectively.

(d) The **slopes** of **RC** and **ET** are **-13/8** and **13/8**, respectively.

The **quadrilateral** RECT is a **rectangle**.

The vertices of the quadrilateral are R(1, 7), E(9, 7), C(9, -6), and T(1, -6).The **length** of the side RE is √[(1-9)² + (7-7)²] = 8.The length of the side EC is √[(9-9)² + (7-(-6))²] = 13.The length of the side CT is √[(9-1)² + (-6-(-6))²] = 8.The length of the side TR is √[(1-1)² + (-6-7)²] = 13.The length of the diagonal RC is √[(1-9)² + (7-(-6))²] = √233.The length of the diagonal ET is √[(9-1)² + (7-(-6))²] = √233.The **slope** of the side RE is (7-7)/(9-1) = 0.The slope of the side EC is (-6-7)/(9-9) = Not Defined.The slope of the side CT is (-6-(-6))/(1-9) = 0.The slope of the side TR is (7-(-6))/(1-1) = Not Defined.The slope of the diagonal RC is (-6-7)/(9-1) = -13/8.The slope of the diagonal ET is (-6-7)/(1-9) = 13/8.The sides RT and EC are equal in length and **parallel** to each other.The sides RE and TC are equal in length and parallel to each other.All the sides are **perpendicular** to their adjacent sides.Hence, we conclude that the **quadrilateral** RECT is a **rectangle**.

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Plot the following ordered pairs on the same Cartesian plane for each one.

1.(2,3)

2.(0,-7)

3.(-5,9)

### Answers

A **graph** of the given **ordered pairs** has been plotted as shown in the image attached below.

What is a graph?

A **graph** can be defined as a type of chart that's commonly used to **graphically** represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the **x-axis **and** y-axis**.

What is an ordered pair?

An **ordered pair** can be defined as a **pair** of two elements that are typically written in a fixed **order** within parentheses as (x, y), which represents the **x-axis** (abscissa) and the **y-axis** (ordinate) on a coordinate plane.

In conclusion, a **graph** which represents the given **ordered pairs** shows a discrete function.

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this is my first question of my unit test sorry i cant give much

### Answers

The answer is 876. Hope this helps.

**Answer:**

**Option 2: 876**

**Step-by-step explanation:**

[tex]\frac{13,140}{15} = 876[/tex]

Line G and lineH are complementary angles. If mlineG = (6x - 15)' and mlineH= (3r + 6)", find H

### Answers

Since **angle** G and angle H are **complementary angles**, the value of x is 11 while **angle** H is equal to 39 degrees.

What is a complementary angle?

A **complementary angle** can be defined as two (2) **angles** or arc whose sum is equal to 90 degrees (90°).

Mathematically, a **complementary angle** can be calculated by using this formula:

Q + R = 90°

Where:

Q and R are measure of the **angles** subtended.

Substituting the given parameters into the formula, we have;

(6x - 15)° + (3x + 6)° = 90°

9x - 9 = 90°

9x = 90 + 9

9x = 99

x = 99/9

x = 11

Next, we would determine the value of H:

H = 3x + 6

H = 3(11) + 6

H = 33 + 6

H = 39 degrees.

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Complete Question:

Angle G and angle H are complementary angles. If G= (6x-15)° and H= (3x+6)° find the x value and H

20 Words -> 2 Minutes

Find how long will it take to type 1650 words

### Answers

**Answer:**

165 minutes

**Step-by-step explanation:**