Mathematics High School

## Answers

**Answer 1**

Based on the given **parameters**, there are 1119360 feet in 212 miles

How to determine the number of feet?

The given parameters are

12 inches = 1 foot

5,280 feet = 1 mile.

**Multiply **both sides of 5,280 feet = 1 mile by 212

So, we have

212 * 5,280 feet = 1 mile * 212

Evaluate the **product**

1119360 feet = 212 miles

The above means that there are 1119360 feet is 212 miles

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## Related Questions

which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined

### Answers

According to the given data the **domain** of g[f(x)] is all **real** **numbers**.

√2 and -√2.

The correct option is **1**.

What is domain?

The collection of **potential** inputs into a **function**, or the set of input values for which the function is defined, is known as the **domain** of the function. The collection of things that the machine will accept as inputs is known as the **domain** in the function **machine** **paradigm**.

According to the given information:

We will respond to this question using two functions:

f(x) = x² and g(x)

= x²/ x-2

Because the domain of f(x) is the set among all real numbers,

Except for 2, the domain of g(x) is all real integers.

Now

g[f(x)]= g(x²)

= x²/ x-2

Except for **real numbers**, the **domain** of g[f(x)] is all real numbers.

√2 and -√2.

The following is the best definition of the **domain** of g[f(x)]:

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I understand that the question you are looking for is:

Which description best explains the domain of (g(f(x))?

the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zero

SOS PLEASE, I DONT UNDERSTAND

### Answers

**Answer:**

8ft

**Step-by-step explanation:**

i believe it's eight feet?

solve the inequality 5(a - 5) greater than 25

### Answers

**Answer:**

5a-25=bigger than 25

a=bigger than 10

**Step-by-step explanation:**

**Answer:**

a>10

**Step-by-step explanation:**

10-5=5

5 times 5=25

So a must be bigger than 10

Which answer graphs the parent function f(x) = |x|, and the translated function g(x) = |x − 2| + 1 on the same grid?

### Answers

Using **translation **concepts, the **graphs **of f(x) = |x| and g(x) = |x - 2| + 1 are given at the end of the answer.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the **parent **and **translated **functions are given, respectively, by:

f(x) = |x|.g(x) = |x - 2| + 1.

The **translations **are given as follows:

x -> x - 2, meaning that the function was shifted **2 units right**.g(x) = f(x) + 1, meaning that the function was shifted **1 unit up**.

Considering these two translations, the **functions **are plotted in the **graph **given at the end of the answer, with:

f(x) in red.g(x) in blue.

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Write the number 86,360,000 using the number word "million" and then round to one decimal place.

million

M

### Answers

The number 86,360,000 using the number word "million" and then round to one decimal place is **Eighty-six million three hundred sixty thousand.**

The writing style used to express numbers in India is known as the Indian numeral system. In this case, numbers are divided into several time periods or groupings. This numbering scheme uses ten distinct symbols, including the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

The order of the digits when using the Indian number system is one, ten, hundreds, thousands, ten thousand, lakhs, lakhs, crores, and crores. The era and locations are shown in the table below according to the amount of digits in a number.

Given number: **86,360,000**

**Eighty-six million three hundred sixty thousand in numbers**

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The function f is defined as follows

f(x)=-2x^2-2

if the graph of f is translated vertically upward by 5 units, it becomes the graph of function h

FIND THE EXPRESSION FOR H(X)

h(x)=?

### Answers

**Answer:**

h(x)=-2x²+3

**Step-by-step explanation:**

Add 5 to -2x²-2.

-2x²-2+5=-2x²+3

h(x)=-2x²+3

Hope this helps!

Please mark as brainliest if correct!

￼Hi, could I get help with this?

### Answers

The segment AB is** perpendicular **to the segment CD because the two angles it creates are each 90 degrees .

A line is said to be **perpendicular **to another line if the two lines intersect at a right angle . The segment AB can be called the perpendicular from A to the segment CD . The point B is called the foot of the perpendicular from A to segment CD or simply , the foot of A on CD .If a first line is perpendicular to a second line , then the second line is also perpendicular to the first .

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Number 9. of algebra

### Answers

**Answer:**

10. 4x

11. r - 7

**Step-by-step explanation:**

10.

"a number" refers to any number. Since we don't know the specific number, we use x, a variable, to represent "a number." Then we multiply x by 4.

Answer: 4x

11.

When you decrease a number by 7, you are subtracting 7 from that number.

Answer: r - 7

Rosa paid $107.40 for 12 audio books that were all the same price. Which is the best estimate of the cost of each audio book?

### Answers

**Answer:**

$8.95

**Step-by-step explanation:**

Divide 107.4 by 12 and you end up with the price of each audio book.

The same can be said for each problem you want find the individual amount of

**Answer:**

Each audio book costs $8.95

**Step-by-step explanation:**

Since 12 audio books that are at all the same prize equal $107.4, therefore in order to find the total of each book we divide $107.4 by 12

➟ 107.4 ÷ 12

➟ 8.95

∴ $8.95 is the cost of each book

Tom does not really want to give away blue marbles and would like to change the probability that he chooses a blue marble to 1/10. How many marbles that are not blue could he add to the bag so that the probability of choosing a blue marble becomes 1/10?

### Answers

**Answer:**

9

**Step-by-step explanation:**

if one marble is blue and 9 are other colors than its a 1/10 chance of getting a blue marble

E=mo^2 solve for m ...............................................

### Answers

The **expression for m** from the given equation is **m = E/o^2**

Subject of formula

The subject of formula is a way of representing a variable with another variable

Given the equation

E = mo^2

We are to make m the subject of the formula. To do that, we will** divide both sides** of the equation b**y o^2** to have:

E/o^2 = mo^2/o^2

E/o^2 = m

**Swap**

m = E/o^2

Hence the **expression for m** from the given equation is **m = E/o^2**

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Carlos has ½ of a tray of brownie left over from the night

before. He eats ⅓ of the leftover part the next night. How

much of the whole pan does Carlos eat? Show how you

solved the problem as an equation.

### Answers

**Answer:**

1/6

**Step-by-step explanation:**

1/2 * 1/3 = 1/6

He ate 1/6 of the whole pan.

Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus

for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation

which can be used to determine x, the number of players the team can bring to the

tournament.

Equation:

### Answers

The baseball team can bring **11 players t**o the** tournament **based on their **budget**.

What is an equation?

An equation is an** expression** that shows the** relationship b**etween two or more numbers and variables.

Let** x r**epresent the** number of players **the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:

24.75x + 856.5 = 1128.75

**x = 11**

The baseball team can bring **11 players t**o the** tournament **based on their **budget**.

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A cat runs 3/5 of a mile in 2/10 of an hour. How many miles did the cat run in 1 hour?

### Answers

The cat ran 3** miles** in one hour

**How to calculate the number of miles ?**

A car runs 3/5 of a** mile** in 2/10

The number of **miles **ran in one hour can be calculated as follows

3/5= 2/10

x= 1

Cross multiply

2/10x= 3/5

x= 3/5 ÷ 2/10

= 3/5 × 10/2

= 3

Hence the car ran 3 **miles** in 1 hour

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Solve.

3 The Ramirez family drives 8 hours each day for 3 days.

They drive 457 miles the first day, 468 miles the

second day, and 473 miles the third day. How many

miles each hour do they drive on average for the

whole trip?

Show your work.

### Answers

To find the average, or mean, we can add all the values then divide by how many there are. Our equation would look like so:

457 + 468 + 473 / 3

1,398 / 3 = 466

On average, the Ramirez family drives 466 miles over the course of the entire trip.

Write 6,750,000,000 in scientific notation.

O 6.75 × 10⁹

O 675 x 107

675 x 10-7

06.75 × 10-9 question 13

### Answers

The proper format for **scientific notation** is a x 10^b , 6.75 × 10⁹ is the scientific notation for 6,750,000,000.

What is Scientific Notation?

The proper format for scientific notation is a x 10^b where a is a number or **decimal number.**

Given number is 6,750,000,000, we need to write in **scientific notation**.

To write the number to scientific notation, we need to follow few rules, Move the decimal so there is one non-zero digit to the** left** of the decimal point.

The number of **decimal places** you move will be the **exponent** on the . If the decimal is being moved to the right, the exponent will be **negative**.

If the decimal is being moved to the left, the **exponent **will be **positive**.

6,750,000,000 = 6.75 × 10⁹

Therefore 6.75 × 10⁹ is **scientific notation** for 6,750,000,000.

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At maximum speed, an airplane travels

Let x be the maximum speed of the plane and y

2100 miles against the wind in 6 hours.

be the speed of the wind. What is the speed of

Flying with the wind, the plane can

the plane with no wind?

travel the same distance in 4 hours.

Enter the correct answer.

### Answers

Plane's air speed is 437.5 mph

Wind velocity is 87.5 mph

An actual question hasn't been asked, but an

educated guess would be to determine the

plane's airspeed or the wind velocity. So I'll

calculate those values for you.

When traveling with the wind, the combined

speed is 2100/4 = 525 mph.

When traveling against the wind, the combined

speed is 2100/6 = 350 mph.

So we can create 2 equations with 2 unknowns.

They are:

a- b= 350

a+ b= 525

Let's add the two equations together.

a-b=350

a+ b= 525

2a = 875

a = 437.5

So the plane's speed in still air is 437.5 mph.

Let's calculate the wind velocity.

at b= 525

437.5 + b= 525

b= 87.5

And the wind velocity is 87.5 mph

Oliver and his friends like to collect and trade cards from a certain combat card game. Oliver used his allowance to purchase 5 booster packs and 4 premade decks, which included a total of 178 cards. For his birthday, he received 4 booster packs and 7 premade decks, which included a total of 264 cards. How many cards come in every booster pack and every premade deck?

### Answers

Solving **system of equations** in **two variable** gives that the number of cards in every **booster pack **are **10** and number of cards in every** premade deck** are** 32**

**What is system of equations in two variables and how to find its solution by substitution?**

Let x and y be **two variables** and

a₁x+b₁y =c₁

a₂x+b₂y =c₂

Where a₁, a₂, b₁, b₂, c₁, c₂ are constants then we can solve these simultaneous** equations by substitution** take value of x from equation (1) and then put it in (2) to get an equation for y only and then solve for y. put value of y in equation (1) to get value of x.

Let the number of cards in every booster pack are x and the number of cards in every premade deck be y

Number of cards in 5 booster packs will be 5x and Number of cards in 4 premade deck will be 4y

As Oliver purchases 5 booster packs and 4 premade decks, which included a total of 178 cards.

Thus we get 5x + 4y = 178 .....(1)

Number of cards in 4 booster packs will be 4x and Number of cards in 7 premade deck will be 7y

As Oliver received 4 booster packs and 7 premade decks, which included a total of 178 cards.

Thus we get 4x +7y = 264 ...(2)

**System of equations** to be solved is

5x + 4y = 178 .....(1)

4x +7y = 264 ...(2)

From (1) , we get x = [tex]\frac{178-4y}{5}[/tex]

Put this value in (2)

[tex]4(\frac{178-4y}{5}) +7y= 264\\\frac{712}{5} -\frac{16y}{5} +7y = 264\\\frac{712}{5}-264=\frac{16y}{5} -7y\\ y= 32\\x= \frac{178-4(32)}{5 }\\ x=50/5\\x=10[/tex]

Therefore x=10 and y= 32

The number of cards in every booster pack are 10 and number of cards in every premade deck are 32

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A parabola opening up or down has vertex (0, 1) and passes through (12, -17). Write its

equation in vertex form.

Simplify any fractions.

### Answers

The equation of the parabola is y = (-3/2)x + 1.

The general vertex form of the equation of a parabola is** y = a(x - h)2 + k**

where (h, k) are the coordinates of the vertex

Here, we are given that vertex = (0, 1)

Thus, the equation of the parabola is-

y = a(x - 0)2 + 1

y = 2ax + 1

Also, we are given that the parabola passes through (12, -17).

Thus, (12, -17) must satisfy the equation of the parabola

⇒ -17 = 2a(12) + 1

-17 = 24a + 1

24a = -17 -1

24a = -18

a = -18/24

a = -3/4

Thus, the equation of the parabola becomes-

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

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

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Describe

and correct the error in naming opposite rays in

the diagram (problem 26 only)

### Answers

The **error **is the symbol for the ray is **not correct**.

We know that opposite rays are two **rays **that both start from a common point and go in exactly opposite **directions**.

In the image attached the rays,

→

YC and

→

YE are opposite rays.

And the points E, Y, and C are **colinear**, that is the **points **E, Y, and C lie on a **straight **line.

In the image, the rays YC and YE just have a line on the above without the right **arrow **mark. This representation that is given in question indicates that YC and YE are line **segments **and not rays.

Hence, The **correct **way to represent them is

→

YC and

→

YE are opposite rays.

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3)927

Show your work

### Answers

**Answer:**

What is the question?

**Step-by-step explanation:**

Find. 5.3 • 10 to the power of 3 - 8 • 10 to the power of 2.

Express you answer in scientific notation

### Answers

**Answer: 568000**

**Step-by-step explanation:**

Jean makes a 15% commission on any clothing that she sells. Jean sold $50.00 worth of clothes to a customer. How much was her commission?

### Answers

Answer:

$7.50

Step-by-step explanation:

15% of $50 is 7.50, so she or he made $7.50 from that piece of clothing

Find the product (2x + 9) (9x + 11)

### Answers

**Answer:**

**Step-by-step explanation:**

18x^2 + 22x + 81x + 99

18x^2 + 103x + 99

The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?

O A. y = -|x +4|-10

O B. y= |4 - x|-6

O C. y = -|x + 4|-6

D. y= |4 - x|-10

### Answers

The **equation** of resulting graph upon undergoing the **transformations** as described in the task content is; **Choice B**; y= |4 - x|-6.

What is the equation of the resulting graph formed from the transformations as described in the task content?

It follows from the task content that the equation of the transformed graph be determined.

First, since the graph is **reflected** over the y-axis, the x-value becomes negative as; **-x**.

Hence, the resulting equation is;

y = |-x + 4|-8

y = |4 -x|-8

Also, when the graph is **translated** 2 units down; we have;

y -2 = |4 -x|-8

y = |4 -x|-8 +2

y = |4 -x| -6

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An altitude is drawn to the base of equilateral triangle abc. if ac=13, find the length of the altitude.

### Answers

The length of the **altitude** of the equilateral triangle ABC is [tex]\frac{13\sqrt{3} }{2}[/tex].

**Equilateral Triangle** is defined as the triangle with all the sides equal and all the angles = 60 deg.

**Altitude of a Triangle** can be defined as the perpendicular drawn from the vertex of a triangle to the opposite side.

According to the question

In the figure given below

**In ΔADC**

Since ΔADC is a right angle triangle we can apply Pythagoras Theorem.

Let the sides of the equilateral triangle be "a". and "h" be the altitude.

Since the altitude is of equilateral triangle it divides the base i.e. DC=a/2

[tex](AC)^{2} =(AD)^{2}+(DC)^{2}[/tex]

[tex]a^{2} =h^{2}+(\frac{a}{2})^{2}\\ \\ h^{2}=\frac{4a^{2}-a^{2}}{4} \\ \\ h=\sqrt{3} *\frac{1}{2} *a[/tex]

Substituting the value of a=13 we get

Altitude [tex]h=\frac{13\sqrt{3} }{2}[/tex]

Therefore , The length of the altitude of the equilateral ΔABC is [tex]\frac{13\sqrt{3} }{2}[/tex].

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question what is an expression equivalent to 6(24) using the distributive property? drag and drop the appropriate number into each box.

### Answers

**6(20+4)** is the **equivalent** to **6(24)** using the **distributive property**.

How to find an expression equivalent to 6(24) using the distributive property?

The **distributive Property** **states** that it is necessary to **multiply** each of the **two numbers** by the factor before **performing** the **addition** operation when a factor is **multiplied** by the **sum** or addition of **two terms**. This **property** states that **multiplying** the total of **two** or **more** addends by a number will **produce** the same outcome as **multiplying** each addend by the number separately and then **adding** the results together.

In other words, an **expression** of the type

A (B + C) can be **resolved** as A (B + C) = AB + AC in **accordance** with the **distributive property**.

This characteristic also holds for **subtraction**.

A(B-C) = AB-AC

**given** that **6(24)**

now **compare** the **6(24)** with general form of **distribution property** a(b+c) = ab + ac

a = 6 and b+c = 24

Consequently, we must identify **two integers** the sum is 24.

These numbers **20** and **4** are **suitable**.

so,

6(20+4) = 6(20) + 6(4)

144 = 144

Hence, the **6(20+4)** is the **equivalent** to **6(24)** using the **distributive property**.

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helllllp asap pls!!!!!

### Answers

**6.** The measure of each angle is **m∠ E = 46°, m∠ D = 46°**.

**Angle of elevatio**n from point **A to B** (∠ E ) is the angle between the horizontal line from A to B.

And, **Angle of depression** from **B to A** ( ∠D ) is the angle from the horizontally downward line from B to A.

As we can see that all the horizontal lines are in parallel to each other,

**Alternative Interior Angle** : When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

With the help of above theorem,

Angle of elevation from point A to B = Angle of depression from point B to A,

**∠E and ∠D are interior opposite angles**.

Then, **m ∠ E = m ∠ D **

3x + 1 = 2(x + 8) ( Given )

3x + 1 = 2x + 16

** x = 15,**

So, **m∠ E** = 3x + 1 = 45 + 1 = **46°**

Hence, **m∠D = 46°**

**7.** The measure of each angle is **m∠ E = 20°, m∠ D = 20°**.

By following same method as given above we will solve this question.

So, As we know that

Angle of elevation from point A to B = Angle of depression from point B to A,

**∠E and ∠D are interior opposite angles**.

Then, **m ∠ E = m ∠ D**

5(x - 2) = (x + 14)

5x - 10 = x + 14

5x -x = 14 + 10

4x = 24

** x = 24/4 = 6**

So,** m∠ D** = (x + 14) = 6 + 14 = **20° **

Hence, **m ∠ E = 20°**

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Question Progress

Homework Progress

10/41

Expand and simplify (x+3)(x + 5)

### Answers

**Answer:**

x2 + 8x + 15

**Step-by-step explanation:**

**First**- take the first terms of the brackets (so, x and x) and multiply them together: for this example that givesx2.

**Outside**- take the two outermost terms of the brackets (x and 5) and multiply them together: for this example that gives5x.

**Inside- **take the two innermost terms of the brackets (3 and x) and multiply them together: for this example that gives3x.

Some people may draw lines between terms when doing this (as seen in the diagram above) leaving you with a “crab claw” around the brackets.

Write down everything you have worked out as one long expression:

**x2 + 5x + 3x + 15**

Then, we will simplify this expression by grouping any “like” terms (this just means adding together any bits with x where they have the same power).

This leaves us with our final answer, which is:

**x2 + 8x + 15**

A pilot is flying from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off

or land if the temperature on the field is not within its operating limitations. The aircraft

cannot operate if the temperature is at or below -40 degrees, or at or above 118 degrees.

A) Write an inequality to represent the temperatures in which the pilot can take off &

land. (2pts)

B) Describe the graph of the inequality. Use terms such as open/closed circles and

shading directions. Explain what the solutions to the inequality represent (4pts)

### Answers

The necessary **inequality **is denoted by the symbol.

**-40< x <118**

This is further explained below.

What is is the required Inequality?

Generally, Find an **inequality **that represents the potential landing or takeoff circ*mstances of an aircraft, the needed graph, and one example where the inequality will be evaluated.

Find an **inequality **that represents the possible landing or takeoff conditions of an aircraft.

The necessary **inequality **is denoted by the symbol.

-40<x<118

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

Due of the high **temperatures **in Phoenix, Arizona in June of 1990, the pilot could not have safely taken off.

Let us represent the temperature with the symbol x

Therefore, the temperature must be above or equal to.

-40F so x>-40

Therefore, the temperature can't be at or higher than.

118F so x<118

The disparity between them will be.

-40<x<118

It is possible to observe from the graph that the **area **colored in gray encompasses all of the points that lie between -40 and 118, but it will not include the points -40 and 118.

The temperature range in which the aircraft is possible to take off or land is shown by the **graph**.

In June of **1990**, the temperature in Phoenix, **Arizona**, reached a high of degree 122degree, which is higher than 118F

Because of this, it is impossible for the pilot to have taken off on this day.

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