There Are 12 Inches In 1 Foot And 5,280 Feet In 1 Mile. Elena Ran 212 Miles How Many Feet Is That (2024)

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

Answer:

8ft

Step-by-step explanation:

i believe it's eight feet?

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

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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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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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!

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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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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

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

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

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 by 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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Answer:

1/6

Step-by-step explanation:

1/2 * 1/3 = 1/6

He ate 1/6 of the whole pan.

The baseball team can bring 11 players to the tournament based on their budget.

What is an equation?

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

Let x represent 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 to the tournament based on their budget.

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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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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.

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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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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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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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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Answer:

What is the question?

Step-by-step explanation:

Answer: 568000

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

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

18x^2 + 103x + 99

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

Angle of elevation 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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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

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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