Multiply (x + 2y)(x2 − xy + 3y).

The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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Answer:

• (a) x-10

• (b) (1-10x)/x

Explanation:

Part A

Given the function:

First, swap x and y:

Next, make y the subject of the equation:

Therefore:

Part B

Given the function:

First, swap x and y:

Next, make y the subject of the equation:

Therefore:

Answer:

Let us begin by simplifying the expression (-18x^3 + 17 +6) / (3x + 2):

- Combine the constants (17+6) to get 23.

- We now have (-18x^3 + 23) / (3x+2).

- Factor out -3 from the numerator to get -3(6x^3 -23)/ (3x+2).

- We can now cancel out the (3x+2) in both the numerator and denominator to get:

-3(6x^2 - 4x + 3)

Therefore, the answer is (C) -6x^2 + 4x - 3.

Answer:

24

Step-by-step explanation:

Multiply the Price Percentage by the Original Price

Multiply the original price and the percentage that represents the sale price; the result is the sale price of the blazer in dollars: $90 × 0.7 = $63. So if the blazer is on sale for 30 percent off, you'll pay the remaining 70 percent of the price, which is $63.

In the JK Flip-Flop truth table, when both inputs of the JK Flip-Flop are set to 1 and the clock input is also set to "High," the circuit is toggled from the SET to the RESET state.

Similar in operation to the SR flip flop is the JK flip flop. The JK flip flop is marked with the letters "J" and "K" rather than "S" and "R." When both inputs are set to 1, SR flip flips yield incorrect states as outputs, while JK flip flops do not, even when both "J" and "K" flip flops are set to 1. The only distinction between JK and SR flip flops is this. The JK Flip Flop is an additional clock input circuitry-equipped gated SR flip-flop. The presence of a clock input circuit prevents the invalid or unlawful output situation from occurring when both inputs are set to 1. The JK flip-flop hence has four input combinations that are possible: 1, 0, "no change," "toggle," and With the exception of the clock input, the JK flip flop's symbol is identical to that of the SR bistable latch.

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The equation 61 * 61 * 61 = (** 61 *)^2 can be replaced with 0 through 9 in various ways for the decimal equation to be correct.

In this equation, we have three instances of the number 61 being multiplied together on the left-hand side, and on the right-hand side, we have a square of a number that contains two unknown digits. We need to determine the values of these unknown digits (represented by the stars) by replacing them with digits from 0 to 9, such that the equation holds true.

To find the possible combinations, we can start by calculating the left-hand side of the equation. 61 * 61 * 61 equals 226,981. Now, we need to find two-digit numbers whose square is equal to 226,981. By taking the square root of 226,981, we find that it is approximately 476.383.

Since the square of the number on the right-hand side should be equal to 226,981, the two digits represented by the stars must be 7 and 6 in some order. Therefore, the equation can be written as 61 * 61 * 61 = (7*61 + 6)^2 or as 61 * 61 * 61 = (6*61 + 7)^2, depending on the order of the digits.

By replacing the stars with 7 and 6 in either order, we find a valid solution for the equation. It is important to note that there might be other combinations that satisfy the equation as well, but the specific values of the stars being 7 and 6 are valid options.

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Using the Combination formula,

Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .

We have given that,

total number of rooms available for paint = 10

number of colour avaliabile for painting = 5

Atmost three rooms can be painted green i.e

the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175

similarly, the number of ways for atmost three rooms are painted red = 175

the number of ways for atmost three rooms are painted blue = 175

Now, one room is remained for painting and two colours are available for it

the number of painting the remained room with aany of two available colours i.e black and white

= 2 ways

thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527

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Answer:

C. producer

Step-by-step explanation:

producers are plants and they provide food and shelter for small animals and stuff.

Answer: 75/8= 9 3/8

Step-by-step explanation: Area = 1/2 X b X h

1/2 X 5 X 15/4 =

75/8=9 3/8

The quadrilateral that has four congruent sides is option D. square. A square is a special type of rectangle and rhombus, characterized by having all four sides of equal length.

A parallelogram (option A) is a quadrilateral with opposite sides that are parallel. While the opposite sides of a parallelogram are congruent, it does not guarantee that all four sides are equal.

A rectangle (option B) is a quadrilateral with four right angles. While opposite sides of a rectangle are congruent, it does not necessarily have four congruent sides unless it is also a square.

A rhombus (option C) is a quadrilateral with all sides of equal length. While a rhombus does have four congruent sides, it is not the only quadrilateral with this property.

Therefore, among the given options, the quadrilateral that has four congruent sides is the square (option D).

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The value of g(2) = -1/4 and the value of g(-2) = π/2 - 3/2

The graph of function g is having a point of inflection at x=-2 and  x=0 and x = 1 because g''(x) = f'(x) changes at each of these values.

A function is basically a relation between two sets having a domain , range and a co-domain.

We can represent functions graphically by plotting their equations and putting the value of co- ordinates.

A graph consists of four quadrants two positive and two negative. It helps to visualize data in a clear manner and helps to present data more efficiently.

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Answer:

25cm

Step-by-step explanation:

one the possibility 36 - 11 =25 the answer is 25

Answer:

30 mins i think its jus simple maths unless theres a twist

First do parentheses

5 + 3 x (3)

Then do multiplication

5 + 9

add

14

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped??  :))))    )

14

pemdas

5 + 3(3) = 14

Answer:

It's answer is 8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = x = ?

We know by using Pythagoras theorem

p = √ h² - b²

= √ 10² - 6²

= √ 100 - 36

= √ 64

x = 8

Hope it will help : ) ❤

Answer:

Step-by-step explanation:

If AB is tangent to the circle, the AB makes a right angle with the radius BC. That means that triangle ABC is a right triangle and we need Pythagorean's Theorem to find the missing side which is the hypotenuse.

\(AC^2=AB^2+BC^2\) and filling in:

\(AC^2=14^2+9^2\) and

\(AC^2=196+81\) and

\(AC^2=277\) so

\(AC=\sqrt{277}\) ≈ 16.64

AC = 16.64

"It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency."

From given diagram,

tangent AB = 14 units

radius BC = 9 units

Using tangent theorem,

AB is perpendicular to BC.

This means ΔABC is right triangle with ∠B = 90°

Using Pythagoras theorem,

\(AC^2=AB^2+BC^2\)

⇒ \(AC^2=14^{2}+9^{2}\)

⇒ \(AC^2=196+81\)

⇒ \(AC^2=277\)

⇒ \(AC=\sqrt{277}\)

⇒ \(AC=16.64\)

Therefore, AC = 16.64

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In addition to premises, warrants, and conclusions, two additional elements of rhetorical argument are evidence and counterarguments.

The two additional elements of rhetorical argument are evidence and counterarguments.

Evidence refers to the supporting material or proof that is presented to back up the premises and warrants in an argument. This can include statistics, facts, expert testimony, or personal experiences.

Counterarguments are the opposing viewpoints or objections that may arise in response to the argument. By addressing and refuting potential counterarguments, the speaker or writer strengthens their own argument and shows that they have considered multiple perspectives on the issue at hand.

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The smallest of the even integers is 8.

It is a well-known fact that the sum of the first n odd numbers is n^2. This makes the sum of the first 8 odd numbers equal to 64.

Let n be equal to the smallest of the 5 even integers. Then (n+2) is the next highest, (n+4) even higher, and so on.

This sets up the equation n+(n+2)+(n+4)+(n+6)+(n+8)+4=64

Now we solve:

5n+24 = 64

5n = 40

n = 8

The smallest of the even integers is 8.

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True , Every matrix transformation is a linear transformation.

Is there a linear transformation for every matrix operation?

Despite the fact that every linear transformation is a matrix transformation, not all linear transformations are matrix transformations.      

                                    Because of this, it's possible that we'll encounter a linear transformation in which we're unable to locate a matrix to carry out the mapping.

What alteration does matrix entail?

In a two-dimensional or three-dimensional space, the transformation matrix converts one vector into another vector, which may be comprehended geometrically.

                                    Stretching, squeezing, rotation, reflection, and orthogonal projection are some of the often utilized transformations.

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The relationship between length and weight can be modeled by a power function.

The fact that the scatterplot of the natural logarithm of weight vs. the natural logarithm of length shows a more linear relationship suggests that the relationship between length and weight can be better modeled by a power function rather than an exponential function. This is because when the logarithms of both variables are taken, an exponential function becomes a linear function, while a power function remains a non-linear function.

In a power function, one variable is raised to a power that is not necessarily an integer, whereas in an exponential function, one variable is raised to a constant power. Therefore, it is more likely that the relationship between length and weight can be modeled by a power function.

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Answer:y= -2/3+3 is the answer since you are just flipping the same line and move down by 1

Step-by-step explanation:

Therefore, f(c) = 3c+5

OPTION B is the correct answer

Answer:

(B) f(c) = 3c + 5

Step-by-step explanation:

Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".

So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.

Use basic algebra to solve for p:

6c = 2p - 10

6c + 10 = 2p

3c + 5 = p

p = 3c + 5 or f(c) = 3c + 5

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

(x+5)(x+2)/(x+5)= x+2 is the with

The probability that at least one of the three randomly selected people has been vaccinated is approximately  961/1000 as a fraction.

Percent of vaccinated people = 66%

Number of people randomly selected = 3

The probability that a person has been vaccinated is

= 66%

=  0.66 as a decimal.

The probability that at least one of three people has been vaccinated

= Total probability - Probability that none of them have been vaccinated

Total probability = 1

The probability that the first person selected has not been vaccinated is

1 - 0.66 = 0.34.

The probability that the second person selected has not been vaccinated is also 0.34.

And the same goes for the third person.

So, the probability that none of the three people have been vaccinated is,

= 0.34 x 0.34 x 0.34

= 0.039304

The probability that at least one of the three people has been vaccinated is ,

= 1 - 0.039304

= 0.960696

= 0.961

= 961/1000 as a fraction.

Therefore, the probability that at least one of the three people has been vaccinated is approximately  961/1000 as a fraction.

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Answer:

50m

Step-by-step explanation:

The model rocket is 4% of the actual rocket and it is 2m high

That means that 4%=2m

4 fits into 100, 25 times so multiply both by 25:

100%=25*2m

100%=50m

100% being the actual rocket

hope this helped!

Answer:

28.4253408071... ft

Step-by-step explanation:

If you are saying that the diameter is the hypotenuse of the triangle, then we can use Pythagora's theorem to solve for it:

\(a^2+b^2=c^2\\18^2+22^2=c^2\\324+484=c^2\\808=c^2\\28.4253408071...=c\)

If the question doesn't mention rounding, then that's our answer.

Answer:

45 friends

Step-by-step explanation:

Answer:

hi how are you doing today Jasmine

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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Answer:

720 minutes

Step-by-step explanation:

Total phone bill = $127.95

Service plan fee = $19.95

Total cost per minute = 127.95 - 19.95

= $108.00

No. of minutes used = Total cost per minute / Rate per minute

= 108.00 / 0.15

= 720 minutes