which of the following numbers is irrational

Answer:

\(x^2+y^2=34\)

Step-by-step explanation:

Expand \((x+y)^2\).

\((x+y)^2=x^2+2xy+y^2\)

\(x^2+2xy+y^2=64\)

Substitute 15 for xy.

\(x^2+2(15)+y^2=64\\\\x^2+30+y^2=64\\\\x^2+y^2=34\)

Yes, Seeta is right  a  takes puzzle in 3 minutes 45 seconds time

3 x 60 = 180 + 45 = 225 seconds.

Seeta's time. 7 x 60 = 420 + 28 = 448 seconds. Nina's time.

if you times the 448 by 2 it =224.

Yes, Seeta is right.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the longer term.

Time is a quantity that is a part of several measurements that are used to compare the length of events or the gaps between them,  to match how long they last, to order events, and to live how quickly things change in the real world or in our conscious experience.  together with the three spatial dimensions, time is usually referred to as a fourth dimension.

Time has long been an important topic of study in philosophy, theology, and science, but scholars haven't been able to define it in a way that is applicable to all of these disciplines without becoming circular. Nevertheless, numerous industries and business domains.

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Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by \(4/3 \pi r^3\)

surface area of sphere is given by \(4 \pi r^2\)

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

\(4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3\)

Thus, radius of sphere is 3 units.

When we measure a ECG waveform the large boxes represents 0.2 seconds.

To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.

In most ECG papers, the standard calibration is as follows:

These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.

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Answer:

Point and the slope

Step-by-step explanation:

All the other Ivy vine have leaves which have 2 numbers which are 2  points, so if you were to solve it you'd get the slope. We don't know how many leaves are on the 6-inch, so its only one point.

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

it is 3

Step-by-step explanation:

First, we will find 50% of 13,370

50/100 x13 370

= 6 685 lamps

Since the lam ship this year is 50% more than the lamp shipped last year, this implies that:

The lamp ship this year = 13 370 + 6 685 = 20 055 lamps

The time difference between Melbourne and London is 11.00 hours.

Here we need to find the time difference between Melbourne and London.

Here we have that the time difference between Melbourne and Singapore is 3 hours ahead.

And the Time difference between Singapore and Wellington is 5 hours behind then the difference between wellington and Melbourne is 3 hours.

Now the time difference between Wellington and London is 12 hours.

Through this we know that the time difference between Melbourne and London 11.00 hours.

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The perimeter of the rectangle in the given diagram is: D. 42 units.

In order to determine the perimeter of this rectangle, we would have to find the length of the third side of the right-angled triangle by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

9² + b² = 15²

81 + b² = 225

b² = 225 - 81

b = √144

b = 12 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

P = 2(9 + 12)

P = 42 units.

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Answer:

a =18

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

6a +11 = 2a+83

Subtract 2a from each side

6a-2a +11 = 2a-2a+83

4a +11 =83

Subtract 11 from each side

4a +11 -11 = 83-11

4a = 72

divide each side by 4

4a/4 = 72/4

a =18

\(6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312\)

When bound to CR1 (complement receptor 1), C3b is cleaved by Factor I, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

The complement system is a part of the immune system that plays a crucial role in recognizing and eliminating pathogens. C3b is a component of the complement system that can opsonize pathogens, marking them for phagocytosis by immune cells. When C3b binds to CR1, which is present on B cells, the cleavage of C3b occurs. This cleavage is performed by an enzyme called Factor I, which is regulated by co-factors such as membrane cofactor protein (MCP). Factor I acts by proteolytically cleaving C3b into smaller fragments, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

These pathogen-associated B-cell co-receptor ligands play a role in the activation of B cells, promoting their immune response against the pathogen. By cleaving C3b, Factor I helps regulate and fine-tune the complement system, ensuring an appropriate immune response while preventing excessive inflammation or damage to host tissues.

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Answer: 9,364cm

Step-by-step explanation: 1 meter = 100 centimeters so it’s 93.64(100) = 9,364

The percent of those interviewed said they like orange juice for breakfast is 58%.

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent.

The percent of those interviewed said they like orange juice for breakfast will be:

= Orange juice taker /  Total respondent

= 29/50

= 0.58

= 58%

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Answer:

OK , so I'll follow all your instructions:

x² + 12x - x + 24 = 0

x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8

(x² + 3x ) (+ 8x + 24) =0

x ( x + 3) + 8 ( x + 3)=0

( x + 3 ) ( x + 8)=0

x +3 = 0 or x + 8= 0

x = -3. or x = -8

The set of all images of the elements in the domain of a function is called the "range" or "codomain" of the function.

The set of all images of the elements in the domain of a function is called the range. The domain of a function refers to the set of input values or independent variables that the function can accept. It represents the set of values for which the function is defined. On the other hand, the range of a function refers to the set of output values or dependent variables that the function can produce. It represents the set of values that the function can take on as the input values change. The range is determined by evaluating the function for all possible input values in the domain. Thus, it is essential to determine both the domain and range of a function to fully understand its behavior and properties.

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Answer:

there are 6.45 or 6.5 square cm in one square inch

Step-by-step explanation:

The functions f₁(x) = x² and f₂(x) = x/x are linearly dependent over the interval (0, ∞) and linearly independent over the interval (-∞, 0) U (0, ∞).

To determine if two functions are linearly dependent or independent, we need to check if one function can be expressed as a constant multiple of the other function over a given interval.

Linear Independence over (-∞, 0) U (0, ∞):

Let's consider the interval (-∞, 0) U (0, ∞). For this interval, we exclude x = 0 since f₂(x) is undefined at x = 0.

To show linear independence, we assume there exists constants c₁ and c₂, not both zero, such that c₁f₁(x) + c₂f₂(x) = 0 for all x in the interval (-∞, 0) U (0, ∞).

For f₁(x) = x², if we substitute x = 1, we have f₁(1) = 1² = 1.

For f₂(x) = x/x, if we substitute x = 1, we have f₂(1) = 1/1 = 1.

Now, let's set up the equation:

c₁f₁(x) + c₂f₂(x) = c₁x² + c₂(x/x) = c₁x² + c₂

We need to find c₁ and c₂ that satisfy the equation c₁x² + c₂ = 0 for all x in (-∞, 0) U (0, ∞). Since f₁(1) = f₂(1) = 1, we have:

c₁(1)² + c₂ = c₁ + c₂ = 0

This equation implies c₁ = -c₂. Since c₁ and c₂ cannot be both zero (as stated in our assumption), they must have opposite signs. Therefore, there are no non-zero constants c₁ and c₂ that satisfy the equation c₁x² + c₂ = 0 for all x in (-∞, 0) U (0, ∞). Hence, f₁(x) = x² and f₂(x) = x/x are linearly independent over this interval.

Linear Dependence over (0, ∞):

Now, let's consider the interval (0, ∞). For this interval, we include x = 0 since f₂(x) is defined for x > 0.

To show linear dependence, we need to find constants c₁ and c₂, not both zero, such that c₁f₁(x) + c₂f₂(x) = 0 for all x in (0, ∞).

Setting up the equation:

c₁f₁(x) + c₂f₂(x) = c₁x² + c₂(x/x) = c₁x² + c₂

To find c₁ and c₂ that satisfy the equation c₁x² + c₂ = 0 for all x in (0, ∞), we set x = 1:

c₁(1)² + c₂ = c₁ + c₂ = 0

This equation implies c₁ = -c₂. We can choose c₁ = 1 and c₂ = -1 (or vice versa), which satisfies the equation. Therefore, there exist non-zero constants c₁ and c₂ that make c₁f₁(x) + c₂f₂(x) = 0 for all x in.

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Answer:

125

Step-by-step explanation:

5*5*5 = 15*5 = 125

Answer:

125

Step-by-step explanation:

Times 5 three times by itself

Answer: $41.15

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After 37 bounces, the ball's height will be less than 1 foot.

The initial height of the ball is 50 feet.

After first bounce, the ball will reach a height of:

= 50 feet * (1 - 10%)

= 45 feet.

After second bounce, it will reach a height of:

= 45 feet * (1 - 10%)

= 40.5 feet.

Height decreases by 10% after each bounce.

We have to set up an equation:

50 feet * (0.9)^n < 1 foot

Simplifying:

0.9^n < 1/50

Taking the logarithm:

n * log(0.9) < log(1/50)

n > log(1/50) / log(0.9)

n > 37.1298771746

n > 37.13.

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\(\sf \bf {\boxed {\mathbb {GIVEN:}}}\)

Radius of the circle "\(r\)" = \(13\)

Value of \(π\) = \(3\)

\(\sf \bf {\boxed {\mathbb {TO\:FIND :}}}\)

The circumference "\(C\)" of the circle.

\(\sf \bf {\boxed {\mathbb {SOLUTION :}}}\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf {C≈78 }}}}}}\)

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}\)

We know that,

\(\sf\pink{Circumference\:of\:a\:circle \:=\:2πr }\)

\( = 2 \times 3 \times 13\)

\( = 6 \times 13\)

\( = 78\)

Therefore, the circumference of the circle is \(78\).

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

\(70\ \text{kilometers}\)

Step-by-step explanation:

The scale of the map is 1 centimeter distance on the map represents 20 kilometers of actual distance.

The distance between the two cities is 3.5 centimeters on the map

\(1\ \text{centimeters on the map}=20\ \text{kilometers of actual distance}\)

So,

\(3.5\times 20=70\ \text{kilometers}\)

So, the distance between the two cities is \(70\ \text{kilometers}\).

The tax consequences to Lucy associated with the collection of the account receivable is $7,000.

What is the cost price?

The cost price in retail systems represents the particular value that represents the unit price purchased. This value is utilized as a crucial aspect in calculating profitability, and it is employed in various stock market theories to determine the value of stock holdings.

Here, we have

Given: Lucy purchased a $100,000 account receivable for $90,000. During the current year, Lucy collected $97,000 from the account.

We have to find the tax consequences to Lucy associated with the collection of the account receivable.

Collected = $97,000

Purchase cost = $90,000

The amount collected more than Lucy’s basis in the receivable:

= $97,000 -  $90,000

= $7,000

Hence, the tax consequences to Lucy associated with the collection of the account receivable is $7,000.

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Step-by-step explanation:

If       x + 5 = 13

then        x = 13 - 5

               x = 8

∴  4 ( x - 5 ) = 4 ( 8 - 5)

                   =  12   (B)

Using the inverse function, it is found that the value is of k = 1.

Suppose we have a function y = f(x).

To find the inverse, we exchange the instances of x and y, and then we isolate y.

In this problem, the function is:

\(y = k(4 + 2x)\)

Exchanging x and y, and isolating y:

\(x = k(4 + 2y)\)

\(4k + 2ky = x\)

\(2ky = x - 4k\)

\(y = \frac{x - 4k}{2k}\)

\(f^{-1}(x) = \frac{x - 4k}{2k}\)

f^-1(6)=1, hence:

\(f^{-1}(x) = \frac{x - 4k}{2k}\)

\(1 = \frac{6 - 4k}{2k}\)

\(6 - 4k = 2k\)

\(6k = 6\)

\(k = \frac{6}{6}\)

\(k = 1\)

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