A total of 52 microphones are to be purchased. Each microphone costs $548. Estimate the total purchase price by using rounded numbers.

Answer:      2200

Hope it helps!

We have

[tex]e^{-iy \log(n)} = e^{\log(n^{-iy})} = n^{-iy}[/tex]

and

[tex]\dfrac1{n^x} \cdot e^{-iy \log(n)} = \dfrac{n^{-iy}}{n^x} = \dfrac1{n^{x+iy}} = \dfrac1{n^z}[/tex]

The sum

[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^z}[/tex]

is exactly the definition of the Riemann zeta function [tex]\zeta(z)[/tex].

After 15 seconds Juan moves (6, 5).

In the given question,

given that,

A marching band uses a grid to determine the members’ positions.

Juan starts at (2, 2).

Every 15 seconds, he moves 4 yards east and 3 yards north.

2 + 4 = 6.

2 + 3 = 5.

so after 15 seconds Juan moves (6, 5).

Hence we get the (6,5) as the main answer.

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The photograph is 6 inches wide and 15 inches long.

Answer:

a, b, a/2, b/2

Step-by-step explanation:

The coordinates of C are (a,b).

You find the midpoint by taking the averages of the coordinates.

The gram is a measure of  Mass because weight that is used especially in the centimeter-gram-second system of measurement

gram (g), also spelled gram, unit of Mass or weight that is used especially in the centimeter-gram-second system of measurement (see International System of Units).

Mass is the quantity of matter in a physical body.  it's also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied. An object's mass also determines the strength of its gravity to other bodies.

The SI base unit of mass is the kilogram (kg). In physics, mass isn't the same as weight,  although mass is often determined by measuring the object's weight using a spring scale,  instead of a balance scale and comparing it directly with known masses. An object on the Moon would weigh but it does on Earth because of the lower gravity, but it might still have the same mass.  this is often because weight is a force, while mass is the property that (along with gravity) determines the strength of this force.

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There isn't a ton of info provided in your question, however, I believe the solution is 1 = 1.

It should be noted that the value of -4 + 8 36/87 will be 4 12/29.

It should be noted that based on the information illustrated, the fraction given is illustrated as:

= -4 + 8 36/87

= -4 + 8 12/29

= 4 12/29

Therefore, it should be noted that the value of -4 + 8 36/87 will be 4 12/29.

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Answer:

9 6/7

This is the answer

Answer:

answer.3.4,6.8,9.12

Step-by-step explanation:

get 12+16=28.

12/28=6/14=3/7

16/28=8/14=4/7.

now get 3/7and 4/7.

subtruct 3 from 12 and also subtract 4 from 16 to get 9.12

Answer:

7 gramos = 0,247 onzas

Explanation

Fórmula

para obtener un resultado aproximado, divida el valor de la masa por 28,35

7 ÷ 28,35

= 0.247 onzas

The length of the longest side is 90 feet, length of the shortest side is 80 feet and the length of the middle side is 85 feet.

Given, the shortest side of a triangle is 10 feet shorter than the Longest side. The middle side is 5 feet shorter than the longest side.

let the longest side be x feet.

shortest side be x ₋ 10 feet.

middle side be x ₋ 5 feet.

the perimeter of the triangle is 255 feet.

a ₊ b ₊ c = 255

x ₊ x ₋ 10  ₊ x ₋ 5 = 255

3x ₋ 15 = 255

3x = 255 ₊ 15

3x = 270

x = 270/3

x = 90

substitute x value in : x ₋ 10

hence the length of the shortest side is 90 ₋ 10 = 80 feet.

similarly, x ₋ 5 = 90 ₋ 5 = 85 feet is the length of the middle side.

hence we get the desired results.

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Distance between the two (x₁, y₁) and (x₂, y₂) coordinates are-

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

The coordinates of M taken from the graph are -

M = (1.5, 3)

Now, for calculating the perimeter of triangle MOI is-

First find the distance between points O and I.

O = (0, 0) and I = (3, 0)

OI = √[(3 - 0)² + (0 - 0)²]

OI = 3 units.

The distance between MI;

MI =  √[(3 - 1.5)² + (0 - 3)²]

MI =  √[(1.5)² + (-3)²]

MI = √(2.25 + 9)

MI = 3.35 units

Now, find distance between OM

MO =  √[(1.5 - 0)² + (3 - 0)²]

MO =  √[(1.5)² + (3)²]

MO = √(2.25 + 9)

MO = 3.35 units

Thus, the perimeter of the triangle MOI is;

Perimeter = OI + MO + MI

                 = 3 + 3.35 + 3.35

Perimeter = 9.7 units.

Thus, the perimeter of the Triangle MOI is 9.7 units.

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Answer:

The easiest way to find percentage is to multiply the number by 100. Like if you were required to find the percentage of 0.87 you multiply it by 100 and get 87 there for 0.87 is equal to 87%.

Step-by-step explanation:

Hope it helps! =D

The solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.

Just like a normal algebraic equation is being solved, so is an inequality. An inequality is solved by finding the value of the variable that makes the inequality true.

Given the inequality, r/-3.5 > 9.1, follow the steps below to find the possible values of r in the inequality:

r/-3.5 > 9.1

Multiply both sides by -3.5, then change the inequality sign ">" to "<" since we are dividing by a negative number:

r/-3.5(3.5) < 9.1(-3.5) (multiplication property of equality)

r <  −31.85

Therefore, the solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.

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Answer:

a

Step-by-step explanation:

The distance between the two points is √ [37]

given,

A(-4,1) ; B(2,0)

For the distance,

d(A,B) = √(x B - x A)² + (y B - y A)²

d(A,B) = √(2+4)² + (0-1)²

= √6² + 1² = √36 + 1

= √37

therefore the distance between the two point is  √37.

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

We can apply the Pythagoras theorem to derive the distance between two points formula. We can take the line joining the two points as the hypotenuse of a right triangle formed in the cartesian plane. The length of the hypotenuse can be calculated using the Pythagorean theorem and the given coordinates of two points to derive the distance between two points formula.

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Answer:

61,63,and 65

Step-by-step explanation:

61+63+65=189

Answer:

49 mile per hour

Step-by-step explanation:

Divide 634 miles by 13 hours to get 48.7, which we can round to the nearest mile (49) to match the significant digits in the problem.

Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.

The solution as follows;

Let be X: scores of SAT

P(X ≥ x) = 0.9

P((X - 500)/100 ≥ (x - 500)/100) = 0.9

P(Z ≥ z) = 0.9

z = 1.28

1.28 = (x - 500)/100

128 + 500 = x

x = 628

Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.

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Answer:

4.625 hours

Step-by-step explanation:

Since it takes 5 hours for the inlet pipe to fill the pool, just using the inlet pipe alone will fill [tex]\frac{1}{5}[/tex] of pool in 1 hour

Since it takes 8 hours for the outlet pipe to empty the pool, just using the outlet pipe alone will empty [tex]\frac{1}{8}[/tex] of pool in 1 hour

Let us assume the pool capacity is 40 gallons

We choose 40 because it is the LCM of 5 and 8 so we can get integer values

Inflow rate = 40/5 = 8 gal per hour

Outflow rate = 40/8 = 5 gal per hour

Net rate = 8-5 = 3 gal per hour if both pipes are open

In one hour with both pipes open, the pool will have 3 gallons of water. Therefore remaining water to fill the pool is 40-3 = 37 gallons

After 1 hour, the outlet pipe is closed and only inlet pipe is open. Therefore inflow rate is 8 gal/hour and outflow rate is 0 gal/hour

So net inflow rate = 8 - 0 = 8 gal/hour

To fill 37 gallons using this rate would be 37/8 = 4.625 hours

Answer: Is the absolute difference if a is a positive number, when a = any rational number.

Step-by-step explanation:

Define Positive numbers:

Positive numbers are the numbers which are greater than zero that lies on the right side of the number line.

Example: 0, 1, 2, 3, 4…

Define Negative numbers:

Negative numbers are the numbers which are less than zero that lies on the left side of the number line.

Example: … -5, -4, -3, -2, -1, 0.

Given data,

Let a = any rational number. Is the absolute difference if a is a positive number.

Because,

Let us take,     a  =  any rational number

We have to know → Is the absolute value of a different if a is a positive number or negative number.

Define Modulus (|x|) of a number :

The modulus or absolute value of a number means the distance that goes from the number to its origin, this is, to the point 0 (zero) that makes part of the real straight line. For instance, the distance from point 6 to its origins is 6, but the distance from point -6 to its origins is also 6.

The modulus operator formula is :

             |x|  = { x if x ≥ 0     and     -x if x ≤ 0

Given question,

Assume any rational number   x/y

Using the Modulus property :

                |x|   = { x/y if x/y ≥ 0    and      -x/y if x/y ≤ 0

Therefore, if the rational number is less then zero (say -2).

Then the absolute value will be = - (- 2) = 2

and for any rational number greater than 0 (say 2)

Then its absolute value will be = 2 only.

Hence,

Is the absolute difference if a is a positive number, when a = any rational number.

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This fraction is an improper fraction.

In improper fractions, the numerator is greater than the denominator

From the given discrete probability distribution, we have that:

a) Because the sum of all probabilities is of 1, we can verify that this is a probability model.

b) P(3 or 4) = 0.229.

c) P(at least one) = 0.908.

d) P(4) = 0.035.

e) Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

The probability distribution in this problem gives the probability of a household having a number of TV sets, given as follows:

For item a, we have to add all the probabilities, hence:

0.092 + 0.275 + 0.101 + 0.194 + 0.035 + 0.303 = 1.

Because the sum of all probabilities is of 1, we can verify that this is a probability model.

For item b, we take the probabilities from the table as follows:

P(3 or 4) = P(X = 3) + P(X = 4) = 0.194 + 0.035 = 0.229.

For item c, we follow a similar procedure to item b, taking the probabilities from the table as follows:

P(at least one) = 1 - P(X = 0) = 1 - 0.092 = 0.908.

For item d, from the table, we have that:

P(4) = 0.035.

For item e, we have that:

Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

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Answer: 10.83334 ounces or  10 5/6

Step-by-step explanation:

Essentially you would divide 65 into six groups. Because you are dividing the amount of liquid into six cups. Hope this answers your question, ask me any other questions you might have.

Answer: $11,379 i believe

Step-by-step explanation: Multiplying 9 times the percentage value at which the cars value depreciates it gives you, 13.5%. Dividing 13155 by that 13.5% will give you the absolute value of $11379.075 in which would be $11,379.

Hope this helps!