What is the per capita GDP of the United States?

Answer:

The Solution Set

Step-by-step explanation:

Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]

Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.

[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]

The output or possible values you could get as a result from an expression or equation is the solution set of the equation

Take for instance, we have the following equation

[tex]x^2 = 4[/tex]

When solved, the equation becomes

[tex]x = \pm 2[/tex]

This can be rewritten as:

[tex]x = \{-2,2\}[/tex]

This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]

Hence, the output or possible values are called solution set

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Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

Answer:

(2x +5) (x+4)

Step-by-step explanation:

2x*2+13x+20

(2x +   )(x+  )

Factoring 20 into 4 and 5  so we can get 13 in the middle

(2x +5) (x+4)

2*4 +5 = 13 for the middle term

Answer:

B→A

Step-by-step explanation:

I'm pretty confident in my answer.

Answer:

Step-by-step explanation:

Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction

Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30

Another word for magnitude is "size" or "extent."

We have,

Magnitude refers to the size, quantity, or intensity of something.

It is a measure of the absolute value or scale of a particular attribute or characteristic.

In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.

It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.

Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.

Thus,

"size" or "extent." are the other words for magnitude,

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Answer:

$12.75

Step-by-step explanation:

Skubic Family-

22.75 = 5.25 + 7x

17.5 = 7x

2.5 = x

Therefore the cost for each person is equal to $2.5

Shaw Family-

2.5(3) + 5.25

7.5 + 5.25 = $12.75

Answer:

$12.75 is answer c

Step-by-step explanation:

Answer:

[tex]6cm[/tex]

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]

hope this helps

Answer:

6

Step-by-step explanation:

Answer:

[tex]V=122.5in^3[/tex]

Step-by-step explanation:

The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .

So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).

[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]

Answer:

122.5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1.5 does not equal 0.15 or the other values.

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers. Irrational numbers can also be expressed as non-terminating continued fractions and many other ways.

The answer is True

The statement that all irrational numbers are real numbers is true.

Real number is a union of rational number and irrational numbers.

An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. All the root values, repeating values, comes under irrational numbers.

Since irrational numbers can still be plotted on the number line, they are considered real numbers. Therefore, all irrational numbers are also real numbers.

Thus, all irrational numbers are also real numbers.

Yes, the given statement is true.

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Answer:

468

Step-by-step explanation:

Answer:

237

Step-by-step explanation:

This is written as 1+2+(3x78)

=3+234

=237

Answer:

38^3+10^2+26x+3 over 18x+1

Step-by-step explanation:

Start by adding x's that are alike together.

4x^3+34x^3= 38^3

then do the same to the other x's

5x^2+5x^2= 10^2

Last x's

13x+13x=26x

For the final equation, you should have

38^3+10^2+26x+3

For the bottom equation, you do the same thing.

4x+14x= 18x

Final equation, really easy, is 18x+1

For the final answer you should have

38^3+10^2+26x+3 over 18x+1

Lmk if it helps!! :)

Answer:

7.96 ft

Step-by-step explanation:

Given;

Length of ramp L = 8 ft

Angle with the horizontal (ground) = 6°

Applying trigonometry;

With the length of ramp as the hypothenuse,

The horizontal distance d as the adjacent to angle 6°

Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;

Cosθ = adjacent/hypothenuse

Substituting the values;

Cos6° = d/8

d = 8cos6°

d = 7.956175162946

d = 7.96 ft

The building is 7.96ft away from the entry point of the ramp.

Answer:

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘.

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x − 2=50 − x⇒x = 13

(3x−2)∘ = 3(13)−2 = 37∘

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180−37=143∘

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘

Answer:

65p

Step-by-step explanation:

375 divided by 750=0.50

0.50+15=65p

Answer:

0.65

Step-by-step explanation:

750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65

See the attached picture

Answer:

45

Step-by-step explanation:

(i just highlighting the answer from the other person's paper)

Answer:

9

Step-by-step explanation:

Let us look at the factors of each of these

36:

1 and 36

2 and 18

3 and 12

4 and 9

81:

1 and 81

3 and 27

9 and 9

When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.

Answer: hope that's right

HCF OF 36 81 = 9

Step-by-step explanation:

Steps to find HCF:

Find the prime factorization of 36 36 = 2 × 2 × 3 × 3

Find the prime factorization of 81 81 = 3 × 3 × 3 × 3

To find the HCF , multiply all the prime factors common to both numbers:

Therefore, HCF = 3 × 3

Step-by-step explanation:

[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]

Answer:

[tex]2(5x-4)(x+1)[/tex]

You can check the answer by re-distributing the 2 and using the foil method :)

Answer:

Yes, there is enough wrapping paper

The area of the wrapping paper is greater than area of the gift

Step-by-step explanation:

What to do is to check the area of the wrapping paper and the gift if equal.

Looking at the dimensions of the gift, it is a cuboid

Area of a cuboid = 2(lb + lh + bh)

where l, b and h are 50, 35,5 respectively

= 2(250 + 175 + 1750)

= 4350 cm^2

The area of the wrapping paper is just the product of its side = 75 * 60 = 4500 cm^2

We can see clearly that the area of the wrapping paper is greater than area of the gift.

so we can conclude that it is enough to wrap the gift

Answer:

2/255

Step-by-step explanation:

In total, there are 18 books on the shelf.

The probability that person A will pick a novel is 6/18 = 1/3

There are now 5 novels and 17 total books on the shelf

The probability that person A then picks a mystery is 4/17.

There are now 3 mysteries and 16 total books on the shelf.

The probability that person B then picks a mystery is 3/16.

There are now 2 mysteries and 15 total books on the shelf.

The probability that person B then picks a poetry book is 8/15.

The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:

1/3 * 4/17 * 3/16 * 8/15 = 2/255

Answer:

Step-by-step explanation:

Twins born  call A

single child born called B

twins in family history 1

twins not in family history 2

my new table

          1.                                         2

A     8/34=0.23 (23.52%)      26/34=0.7647 (76.47%)

B. 125/966=0.1293 (12.93%) 841/966=0.8706(87.06%)

I hope u understand my table

Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

Answer:

A & D

Step-by-step explanation:

Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

Answer:

x+2y=4

Hope this helped

Answer:

Answers are: A,D, and  A

Step-by-step explanation:

I hope these are right

the slope of the line between c and d are  a constant meaning that he must have been riding at the same speed or something

d

Answer:

On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]

Hope this helps!

Answer:

[tex]4\sqrt{2} \\[/tex]

Step-by-step explanation:

4 times the square root of 2 is equivalent to the square root of 32.

Answer:

(x+8)²-2=0

(x+8+√2)(x+8-√2)=0

x= - 8- √2 =  -9.41 lesser x

x= -8 + √2 = -6.59  greater x

Answer:

[tex]\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421[/tex]

Step-by-step explanation:

[tex]\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8[/tex]

[tex]\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421[/tex]