Find a coordinate distance calculator

Answer: 56.2455

Step-by-step explanation:

Answer:

t= -3r

Step-by-step explanation:

The common ratio of the geometric sequence -10, 20, -40 is -2.A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed number called the common ratio.

To find the common ratio of the sequence -10, 20, -40, we can divide each term by the previous term.

The second term divided by the first term gives:

20 / (-10) = -2

The third term divided by the second term gives:

(-40) / 20 = -2

We can see that the quotient is the same in both cases, which means that the common ratio of the sequence is -2.

This tells us that to find the next term in the sequence, we multiply the previous term by -2. For example, to find the fourth term, we would multiply -40 by -2 to get 80, which would be the next term in the sequence.

In summary, the common ratio of the geometric sequence -10, 20, -40 is -2.

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Functional residual capacity (FRC) is the volume of air that remains in the lungs after a normal exhalation.

functional residual capacity  (FRC) is the volume of air that remaining parts in the lungs after a typical exhalation when the muscles of breath are loose. It is the equilibrium point between the outward flexible force of the chest wall and the internal versatile backlash of the lungs. At FRC, there is no air development and the tensions in the lungs and the climate are equivalent.

FRC is a significant estimation in pneumonic capability tests and can be utilized to analyze different respiratory circumstances like obstructive lung illnesses, prohibitive lung sicknesses, and neuromuscular illnesses that influence the respiratory framework.

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We know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

A hexagon, also known as a hexagon, is a six-sided polygon that forms the shape of a cube in geometry.

Any simple hexagon has 720° of internal angles in total.

No matter what kind of hexagon it is, they all have six sides.

This implies that all types of hexagons—regular, irregular, concave, and convex—have six sides apiece.

So, we know that the perimeter of the hexagon is 90ft.

Formula: 6a

Then, calculate the side as follows:

P = 6a

90 = 6a

a = 90/6

a = 15

Then, the area of the hexagon:

= 3√3/2a²

= 3√3/2*15²

= 584.56715

Therefore, we know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

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113.399 grams make up a quarter pound or 0.25 pounds.

The unit of measurement known as a QP, or quarter pound, is frequently used in the sale and distribution of food item measures.

Kilograms equal 2.2046 pounds.

1,000 grams make up one kilogram.

Alternatively, 1,000 grams is 2.2046 pounds.

So, one pound equals x grams.

Divide 1,000 grams by 2.2046 to get 453.597 grams in a pound.

So, one pound is 453.597 grams.

453.597 divided by 0.25 to get 0.25 pounds, or 0.25 pounds, is 113.399 grams.

To achieve precise and consistent outcomes, weight measures are frequently used in cooking and baking. A quarter pound of a culinary item, such as butter or sugar, is also referred to as a QP.

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The required answer for the expression -2/(1 + √3i) is Arg (z) = 2π/3. The required answer for the expression (√3 - i)⁶ is Arg (z) = π.

The principal argument is the angle created by the line joining the origin, z, and the positive real axis. A complex number with the expression z = x + i y has the argument form  [tex]\text{Arg}(z)=\tan^{-1}\frac{y}{x}[/tex] when x > 0.

a) Given z=2/(1 + √3i). First, simplify the given expression,

[tex]\begin{aligned}\frac{-2}{1+i\sqrt{3}}&=\frac{-2}{1+i\sqrt{3}}\times\frac{1-i\sqrt{3}}{1-i\sqrt{3}}\\&=\frac{-2(1-i\sqrt{3})}{1^2-(i\sqrt{3})^2}\\&=\frac{-2-2\sqrt{3}i}{4}\\&=\frac{-1}{2}-\frac{\sqrt{3}}{2}i\end{aligned}[/tex]

Now find, the arg of the above expression. Here, x is -1/2 and y is√3/2. We get,

[tex]\begin{aligned}\mathrm{Arg}(z)&=\tan^{-1}\frac{y}{x}\\&=\frac{\frac{\sqrt{3}}{2}}{\frac{-1}{2}}\\&=\tan^{-1}(-\sqrt{3})\\&=\frac{2\pi}{3}\end{aligned}[/tex]

The required answer is Arg (z) = 2π/3.

b) Given (√3 - i)⁶. We know that,

[tex]\begin{aligned}\sqrt{3}-i&=2\left(\frac{\sqrt{3}}{2}-\frac{1}{2}i\right)\\ &=2\times e^{\left(-\frac{\pi}{6}i\right)\end{aligned}[/tex]

Then,

[tex]\begin{aligned}(\sqrt {3} -i)^6&=2^6\times e^{-\pi i}\\&=-2^6\end{aligned}[/tex]

Here, x is -64 and y is 0. Then, tan⁻¹ (0) = 0 = π.

The required answer is Arg (z) = π.

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Answer:

x=1

Step-by-step explanation:

To find the value of "x", we can start by setting up an equation based on the information given in the problem:

3 + x = 2x - 2

To solve for "x", we can simplify the equation by subtracting "x" from both sides and adding 2 to both sides:

3 + x - x = 2x - 2 - x + 2

3 = x + 2

Finally, we can solve for "x" by subtracting 2 from both sides:

x = 1

Therefore, the number we're looking for is 1.

Kirk and martin, two experimental physicists, want to change the diameter of a laser beam while keeping its rays propagating parallel so the value of distance l is l = fs - fa.

In a partly ionized plasma with several species, we investigate the propagation of electromagnetic waves (or incompressible waves with little thermal pressure) through the magnetic field. Due of variances in mass and density, each species responds to and hence influences electromagnetic field disturbances differently.

For the first lens , ray of light from distant object are parallel , so image will formed at the focal length of first lens.

For second lens,

object distance (u) = fa + l

image distance (v) = ∞

By lens formula,

1/v - 1/u = -1/fs

u = fs

fa + l = fs

l = fs - fa

Collisions between all of the species complicate the process even further. Based on a multi-fluid treatment and Faraday's and Ampere's laws, including the displacement current, a linear analysis is used to derive the dispersion relation of parallel propagation covering a wide range of frequencies, from magnetohydrodynamics (MHD) waves to light waves, with an arbitrary combination of multiple positively charged species, negatively charged species, and neutral species.

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Complete question:

Kirk and martin, two experimental physicists, want to change the diameter of a laser beam while keeping its rays propagating parallel.

For this set up to work, what must be the distance l ?

The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.

Relation between centimeter and feet is equal to :

One centimeter is equal to 0.0328084 feet.

Now substitute the required converted value centimeter to feet we have,

⇒ 147 centimeters = ( 147 ) × ( 0.0328084 ) feet

⇒ 147 centimeters = ( 4.8228348 ) feet

⇒  147 centimeters = ( 4.82283 ) feet ( Round upto four decimals )

Therefore, the converted units centimeter to feet as per the measurements is equal to  ( 4.82283 ) feet ( Round upto four decimals ) .

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The value  0.06  as a fraction is 3/50 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

0.06 *100/100 =3/50

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The variable V represents Victoria's age and the variable D represents her dad's age.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation that relates Victoria's age (V) to her dad's age (D) when Victoria is 18 years old is:

D = V + 18

The variable V represents Victoria's age and the variable D represents her dad's age.

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1/4 girl string players.

multiply the fractuon to obtain the answer.

(2/5) x (5/8) = total

10/40 = 1/4

you can check intuitively by confirming this number is less than total string players.

2/5 is 40% of students play string.

1/4 is 25% students are girls that play string.

and 5/8 is slightly larger than half. which confirms the same.

Answer:

The correct answer is A. 35 and 46. When y is inversely proportional to x, it means that the ratio of x to y remains constant. In this case, when x = 3, y = 60, which means that the ratio of x to y is 3/60. Since the ratio is constant, we can use that ratio to find the values of y when x = 5 and x = 4. When x = 5, y = (3/60) x 5 = 35 and when x = 4, y = (3/60) x 4 = 46.

Answer:

Option A 35 and 46

Step-by-step explanation:

Answer:

I'm positive the answer is 56000

The solution of equation 4000 x 12 is,

4000 x 12 = 48,000

We have to given that,

Expression to solve,

⇒ 4000 x 12

We can multiply it,

⇒ 4000 x 12

⇒ 48,000

Therefore, The solution of equation 4000 x 12 is,

4000 x 12 = 48,000

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The linear function on the graph is:

f(x) = -x/4 + 13

And the domain is 0 ≤x ≤43

A general linear function is written as:

f(x) =a*x + b

Where a is the slope and b is the y-intercept.

On the graph we cans ee that the y-intercept is y = 13 (initial amount of gasoline) then:

f(x) = a*x + 13

To find the value of the slope we can use the fact that the line passes through (20, 8), replacing these values we will get:

8 = a*20 + 13

8 - 13 = a*20

-5 = a*20

-5/20 = a

-1/4 = a

So the function is

f(x) = -x/4 + 13

And the domain is the set of possible values of x.

We start at x = 0

And the maximum of the domain is the value such that the fuell is totally consumed, it is:

0 = -x/4 + 13

x/4 = 13

x = 4*13 = 52

The domain is 0 ≤x ≤43

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The percentage of people have iq scores somewhere between 70 and 130 is 95.44%.

To solve this problem, we need to standardize the IQ scores and then use a standard normal distribution table or calculator to find the proportion of scores between 70 and 130.

First, we need to calculate the z-scores for IQ scores of 70 and 130, using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean (100), and σ is the standard deviation (15).

For an IQ score of 70:

z = (70 - 100) / 15 = -2

For an IQ score of 130:

z = (130 - 100) / 15 = 2

We can now look up the proportion of scores between -2 and 2 in a standard normal distribution table or calculator. This represents the proportion of scores within two standard deviations of the mean, which is approximately 95% according to the empirical rule of normal distribution.

However, we want to find the proportion of scores between 70 and 130, not between -2 and 2. To do this, we need to subtract the proportion of scores below 70 (which is the same as the proportion below -2) from the proportion of scores below 130 (which is the same as the proportion below 2). The result gives us the proportion of scores between 70 and 130.

Using a standard normal distribution table or calculator, we can find that the proportion of scores below -2 (or 70) is 0.0228, and the proportion of scores below 2 (or 130) is 0.9772. Therefore, the proportion of scores between 70 and 130 is:

0.9772 - 0.0228 = 0.9544

This means that approximately 95.44% of people have IQ scores between 70 and 130.

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Answer:a =  17

b =  24

c =  16

d =  5

Step-by-step explanation:

a+b+c+d=62

a = b-7

c = 2/3·b

d = 5

a+b+c+d = 62

a-b = -7

2b-3c = 0

d = 5

Row 2 - Row 1 → Row 2

a+b+c+d = 62

-2b-c-d = -69

2b-3c = 0

d = 5

Row 3 + Row 2 → Row 3

a+b+c+d = 62

-2b-c-d = -69

-4c-d = -69

d = 5

d = 5/1= 5

c = -69+d/-4= -69+5/-4= 16

b = -69+c+d/-2= -69+16+5/-2 = 24

a = 62-b-c-d = 62-24-16-5 = 17

a = 17

b = 24

c = 16

d = 5

Answer:

when they both are separated they form a right angled triangle 90°

The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.

The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.

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Knowing the absolute prices of goods X, Y and Z, we obtain their relative prices:

The relative price of a good is the price of that good in terms of another good. It is calculated by dividing the absolute price of one good by the absolute price of another good.

The relative price of X in terms of Y is calculated by dividing the absolute price of X by the absolute price of Y:

Relative price of X in terms of Y = Absolute price of X / Absolute price of Y

X/Y = $23 / $42

X/Y = 0.55

The relative price of Y in terms of Z is calculated by dividing the absolute price of Y by the absolute price of Z:

Relative price of Y in terms of Z = Absolute price of Y / Absolute price of Z

Y/Z = $42 / $56

Y/Z = 0.75

The relative price of Z in terms of X is calculated by dividing the absolute price of Z by the absolute price of X:

Relative price of Z in terms of X = Absolute price of Z / Absolute price of X

Z/X = $56 / $23

Z/X = 2.43

In conclusion, the relative price of X in terms of Y is 0.55, the relative price of Y in terms of Z is 0.75, and the relative price of Z in terms of X is 2.43.

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the value of a is 7/6 and the value of b is 0.

The tangent is an immediate line that simply touches the curve at a given point. The regular is an immediate line this is perpendicular to the tangent. the slope of any line perpendicular to a line with slope m is the terrible reciprocal −1/m.

Given a curve y = ax + b/√x.

with the constant value of a and b.

First, we need to find the derivative of the curve y = ax + b/√x in order to find the gradient of the tangent to the curve at any given point. We can use the quotient rule to differentiate the equation:

dy/dx = a - (b/2)x^(-3/2)

Now we can find the gradient of the tangent to the curve at the point (4, 12) by substituting x = 4 into this equation:

dy/dx = a - (b/2)4^(-3/2) = a - b/16

The gradient of the normal to the curve at this point is the negative reciprocal of the gradient of the tangent, so:

-1/m = -(a - b/16)

We know that the equation of the normal is given by:

3y + 2x = 44

We can use this to substitute in y in terms of x:

y = (44 - 2x)/3

Now we can substitute this into the expression for -1/m:

-1/m = -(a - b/16) = -(dy/dx) = -(a - b/2x^(3/2)) = -(a - b/2(4)^(3/2))

-1/m = -(a - b/8)

Simplifying this equation, we get:

1/m = a - b/8

Substituting the value of m = -3 into this equation (because the gradient of the normal is -3), we get:

-1/3 = a - b/8

Multiplying through by 8, we get:

-8/3 = 8a - b

We also know that the curve passes through the point (4, 12), so we can substitute this into the equation for the curve:

12 = 4a + b/2

Multiplying through by 2, we get:

24 = 8a + b

Now we have two equations in two variables:

-8/3 = 8a - b

24 = 8a + b

Adding the two equations together, we get:

56/3 = 16a

Dividing through by 16, we get:

a = 7/6

Substituting this into one of the equations, we get:

24 = 8(7/6) + b

b = 0

Therefore, the value of a is 7/6 and the value of b is 0.

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Answer: the answer would be

 $ 784.96

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discount rate = 12%

The retail price= $892

The discount = the retail price*the dicount

                      =  12/100*892= $107.4

Answer:

Based on the given information, the value of the stock is 1.75 less than the original value since the plotted value is located 1.75 units to the left of the 0 mark. Therefore, the correct statement is: "The stock is 1.75 less than the original value, and the absolute value is 1.75."

The difference in total principal and interest payment between the 20-year loan versus the 15-year loan is B. $44,061.05.

The difference is obtained by computing the total payments for the Option B loan and comparing these to the total payments for Option A loan.

The total payments for Option B can be computed using an online finance calculator that determines also the monthly payments.

Mortgage loan = $167,800

Interest rate = 7.45%

Mortgage period = 240 (20 years x 12)

Total payment (Future Value) = $323,198.36

Monthly payment = $1,346.66 ($323,198.36/240)

N (# of periods) = 180 months (15 years x 12)

I/Y (Interest per year) = 7.45%

PV (Present Value) = $167,800

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $1,550.76

Sum of all periodic payments = $279,137.31

Total Interest = $111,337.31

Option A total payment = $323,198.36

Option B total payment = $279,137.31

Difference between the two options = $44,061.05 ($323,198.36 - $279,137.31)

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Answer:

Her final number is 594.

Step-by-step explanation:

Increase 600 by !0%:

0.1 * 600 = 60

600 + 60 = 660

Decrease result by 10%:

0.1 * 660 = 66

660 - 66 = 594

Answer:

D

Step-by-step explanation:

Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else

-4m < 28. Divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality sign. m > -7. The solution to the inequality -4m < 28 is "m > -7".

To solve the inequality -4m < 28, we need to isolate the variable "m" on one side of the inequality sign. We can do this by dividing both sides of the inequality by -4. However, since we are dividing by a negative number, we need to reverse the inequality sign. After simplifying, we get the solution m > -7, which means that any value of "m" that is greater than -7 would satisfy the inequality. In other words, all values of "m" that are greater than -7 would make the inequality -4m < 28 true. Understanding how to solve inequalities is important in various mathematical fields such as algebra, calculus, and optimization.

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The surface area for the given radius and height are For r = 5 and h = 2: TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm. For r = 9 and h = 11: TSA = 2π(9)(20) = 360π sq. cm.

The entire area a cylinder occupies in three dimensions is known as the cylinder's area. The combined areas of the two circular bases and the curving surface make up the cylinder's surface area. In right cylinders, the axis line creates a right angle to the base, and the two circular bases are perfectly over one another. It is referred to as an oblique cylinder if one of the circular bases is misaligned and the axis does not make a right angle with the base.

The curving surface that sits in the center of the two circular bases opens to reveal a rectangular shape. A lateral surface is another name for this curved surface.

The total surface area of the cylinder is given by the formula:

TSA = 2πr(r + h)

For r = 5 and h = 2:

TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm

For r = 9 and h = 11:

TSA = 2π(9)(20) = 360π sq. cm

For r = 9 and h = 8:

TSA = 2π(9)(17) = 306π sq. cm

For r = 4 and h = 7:

TSA = 2π(4)(11) = 88π sq. cm

For r = 6 and h = 5:

TSA = 2π(6)(11) = 132π sq. cm.

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Answer:

2 lb

Step-by-step explanation:

Let x = number of pounds

Let c = cost

first orchard:

it costs $30 to rent a basket

pound of apples collected costs $5

c = 5x + 30

second orchard:

baskets are free

apples cost $20 per pound

c = 20x

We want the costs to be equal.

20x = 5x + 30

15x = 30

x = 2

Answer: 2 lb