the second and sixth terms of a geometric progression are 3/10 and 243/160, respectively. what is the first term of this sequence?

The relationship  between scale factor and sensitivity of a transducer is scale factor is the inverse of the sensitivity

The scale factor is defined as the ratio between the original measurement and the new measurement.

If the scale factor is greater than 1, then the we are enlarging the measurement. If the scale factor is between 0 and 1, then we are shrinking the measurement

The sensitivity of the transducer is the output obtained per unit changes in the input. The higher sensitivity and lower sensitivity will lead to error. So the sensitivity should be moderate

Here the scale factor is inverse of the sensitivity, when the scale factor increases the sensitivity decreases

Therefore, the scale factor is the inverse of the sensitivity

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it is 31. i hope this helped you!

Answer:59

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

there cannot be two y-corrdinates under the same x-coordinates

Answer:

A Square Root of 80 to the nearest tenth, means to calculate the square root of 80 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 80 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 80 to be:

√80 = 8.94427190999916

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

8.94

Step 3: Round

Round 8.94 so you only have one digit after the decimal point to get the answer:

8.9

To check that the answer is correct, use your calculator to confirm that 8.92 is about 80.

Answer:

You're answer is 8.9. Hope it helps.

The coordinates of each vertex of the given triangle FGH, if the triangle is reflected over the line y = x, are F'(3, -7), G'(6, 2), and H'(5, 3).

The rule for the reflection across the line y = x is

(x, y) ⇒ (y, x)

Here the coordinates are shuffled or interchanged among themselves for a reflection and form an image.

The given triangle has vertices at F(-7, 3), G(2, 6), and H(3, 5).

When it is reflected across the line y = x, the image of the triangle forms at the vertices

F(-7, 3) → F'(3, -7)

G(2, 6) → G'(6, 2)

H(3, 5) → H'(5, 3)

The reflection across the line y = x is shown in the graph below.

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The comparison of the expressions 4 and fraction 8 over 4 is that they are not equal

From the question, we have the following parameters that can be used in our computation:

4 and fraction 8 over 4

Rewrite the above expression using mathematical operators and mathematical symbols

So, we have the following representation

4 and 8/4

The above expression are integers and fraction expressions

So, we express 8/4 as an integer

This gives

4 and 2

The number 2 is less than the number 4

This means that both numbers are not equal

Hence, the conclusion is not equal

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The best prediction would be that Jeremy will roll a number greater than 444 approximately one third of the time. This would be approximately 605360600 times.

The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

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Step-by-step explanation:

rearrange the equation so that the unknown you are r trying to calculate is on its own on one side of the equation

The rectangle is a closed figure having 4 sides, 4 vertices, and 4 angles.

The opposite sides of the rectangle are parallel and equal to each other. The measure of the angles of the rectangle is 90° i.e. they are right angles.

A rectangle is a 2-dimensional figure.  

All rectangles can be squares but all squares cannot be rectangles. A square is a special type of rectangle. This is possible when all the sides of the rectangle are equal.

The various objects in our day-to-day life which has rectangular shape are -

box, mobile, book, blackboard or whiteboard, table, etc.

The visual representation of the rectangle is as follows-

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The equation of the line is y - 1 = -1/4( x + 5/4).

Here we have to find the equation of the line.

Data given:

Point on the line= (-5/4, 1)

slope(m) = -1/4

The formula of the equation of the line:

y - y1 = m(x - x1)

where m = slope of the line

(x1, y1) = point on the line

Now putting the values in the equation we have:

y - 1 = -1/4( x- (-5/4))

y - 1 = -1/4( x + 5/4)

Therefore the equation of the line is y-1 = -1/4( x + 5/4).

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Answer: 11.4m

Step-by-step explanation:

Answer:

12.2 meters

Step-by-step explanation:

Answer:

 x = -4

y = 4.67

Step-by-step explanation:

Step-by-step explanation:

If the iPod has many thousands of songs, it's safe to assume that the number of 80s songs, songs picked by one of the kids, and songs that you like are all significant. Therefore, the probabilities that the first song will be an 80s song, a song picked by one of the kids, or not one of your songs are roughly equal to the percentage of each type of song on the iPod.

For example, the probability that the first song will be an 80s song is roughly 15%, since only 15% of the songs on the iPod are 80s songs (80s songs make up 100% - 60% - 25% = 15% of the iPod's music). Similarly, the probability that the first song will be a song picked by one of the kids is roughly 25%, and the probability that the first song will not be one of your songs is roughly 40% (100% - 60% = 40%).

Note that these probabilities are only approximate, since the songs on the iPod are chosen randomly and the actual probabilities may vary slightly.

Total Coins in the collection are 450 units

What is Percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.

Solution:

Given that 9 is 2% of the total collection

Let, total collection be x

2% of x is 9

2/100 * x = 9

x = 9 * 50 = 450

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Answer: 36 miles

Step-by-step explanation:

2/3 hour = 40 minutes

We know that its speed is 24 miles in 40 minutes

So take 24 divided by 40 = 0.6 miles per minute

Then take 0.6 times 60 = 36 miles in 1 hour

So it can drives 36 miles in 1 hour

Answer:

this pretty vauge, next time just add a pic of the graph

The technique most appropriate in introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, for analyzing the data is the Independent Samples T-test for means.

The test examines the means of two independent groups to see if there is statistical evidence that the related population means differ considerably. A parametric test is the Independent Samples t Test.

The Independent Samples t Test is frequently used to test the following variables: Statistical disparities between two groups' means, statistical differences between two interventions' means, and statistical differences between the means of two change scores. When comparing the means of exactly two groups—no more and no less—use an independent samples t-test.

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Answer:

An=144(3/4)1-n

Step-by-step explanation:

hope it helps. Mark as brainliest

The distance between point A and point B is 36234 feet.

What is meaning of  rounding to nearest feet?

Take a look at the straightforward process for rounding to the closest foot in the given points to become comfortable with the manual calculation:

Find the number of feet that is given first.

Look at the first digit following the decimal point, which is the digit we must round off.

If the value is in the range of 0 to 4, leave the digit we care about and trim the rightmost digits.

If the value is between 5 and 9, we should trim the rightmost portion of the number we care about and raise it.

The value that has been rounded to the closest foot is the final number.

Given that a plane maintains a constant altitude of 7500feet. Keilantra initially measures an angle of elevation of a 9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B.

Assume that the position of Keilantra be X.

Draw a diagram that represent given situation.

Consider △ACX,

Applying tangent on the angle ∠AXC

tan 9° = AC/XC

tan 9° = 7500/XC

XC = 7500/ tan 9°

XC = 47353.13

Consider △XBD,

AC = BD = 7500

tan 34° = BD/XD

tan 34° = 7500/XD

XD = 7500/ tan 34°

XD = 11119.20

From the diagram,

AB = DC = XC - XD = 47353.13 - 11119.20 = 36233.92

Round to the nearest foot

AB = 36234

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Answer: its 10662

Step-by-step explanation:

just did it and that was the answer

So the probability that the car will die between 25000 and 30000 miles is   P(X > 25000) = 0.286

Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, generally speaking, 0 indicates the event's impossibility and 1 indicates its certainty.

Here,

Exponential distribution is memory less.

Let  be the event of car number of miles car travels before dying out.

So mean

m = 20000

Now P(X > t)  = [tex]e^{\frac{-t}{m} }[/tex]

Since P( X > [tex]\frac{(x+y)}{X > x}[/tex]) = P(X > y)

=> P(X > 25000) = [tex]e^{\frac{-25000}{20000} }[/tex]

=> P(X > 25000) = [tex]e^{\frac{-5}{4} }[/tex]

=>  P(X > 25000) = 0.286

So the probability that the car will die between 25000 and 30000 miles is   P(X > 25000) = 0.286

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Answer:

86

Step-by-step explanation:

Answer:

The function f(t) = 0.0037(t + 14.979)^2 can be rewritten as f(t) = 0.0037(t^2 + 29.958t + 222.126). This is a quadratic function that has been stretched vertically by a factor of 0.0037 and shifted 14.979 units to the right and 222.126 units up.

To sketch the graph of this function, we can start with the graph of f(t) = t^2, which is a parabola that opens upwards. The transformation of this function stretches the parabola vertically by a factor of 0.0037, so its maximum and minimum values will be much smaller. The shift of 14.979 units to the right means that the vertex of the parabola will be located 14.979 units to the right of the vertex of the original parabola. The shift of 222.126 units up means that the minimum value of the function will be located 222.126 units above the minimum value of the original parabola.

On the interval 0 ≤ t ≤ 19, the graph of the function will be a parabola that stretches vertically by a factor of 0.0037 and is shifted 14.979 units to the right and 222.126 units up from the graph of f(t) = t^2.

To predict the mortgage debt in the year 2014, we can substitute t = 24 into the function f(t) = 0.0037(t + 14.979)^2. This gives us f(24) = 0.0037(24 + 14.979)^2 = 0.0037(39.979)^2 = 0.0037 * 1595.7441 = 5.90834 trillion dollars. This is the predicted mortgage debt in the year 2014.

The Eigen Valve in λ = 1, in the transition matrix.

What is matrix?

An arrangement of numbers, factors, symbols, or phrases inside a rectangular table to various amounts of columns and rows is referred to as a matrix, which is the plural form of the word matrix. These rectangular arrays can perform addition, multiplication, as well as transposition operations, among other operations. The entries or numbers of a matrix are its constituent parts. In matrices, the horizontal and vertical entries are made reference to as rows and columns, respectively. There will be m n entries in a matrix to m rows as well as n columns. The capital "A" in this sentence needs to stand for "matrix," Aij.

Announce  a = L are correct answer
To understand the Markov chain- let assume P matrix of regular al transition matrix

P = [tex]\left[\begin{array}{cc}0.3&0.7\\0.7&0.3\\\end{array}\right][/tex]

λ I - A = 0

λ² - 0.6λ - 0.4 =0

λ = 1 or -0.4

Hence The Eigen Valve in λ = 1

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Answer:

What the boy measuring stick said when he saw the girl measuring stick was - Pleased to meter/metre you. It is a pun, or a play on words, because you'd normally say - Pleased to meet you, but given that these are not people, but rather measuring sticks, and what they do is measure stuff using meters as a unit of length, using the word meter instead of meet creates a funny effect because those words sound alike.

Step-by-step explanation:

Answer: he gives them 2 balls each and there are 2 balls remaining

Step-by-step explanation: 10 balls divided by 4 teams would be 2.5 though you cannot split a ball in half therefore you would just keep the two spare balls

Using simple multiplication , The number of eggs laid total that night is

3300.

A group of numbers or variables coupled with the operations +, -, *, / or form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Sea turtle lays 110 egg in one night.

number of turtle = 30 .

Total number of eggs laid that night = 30 * 110

=3300

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Write the sentence as an inequality. Three is no less than a number z.

3 ≥ z

the different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

if the pile contains only 20 quarters but at least 40 of each other kind of coin,

So the P (n k ) = (20+4-1)! / (20!)(23-20)! subtracted from (40+4-1)! / (40!)(43-40)!

Hence the different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!

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Answer:

20

Step-by-step explanation:

If 80% of the picture frame is glass, then 100-80 = <<80=20>>20% of the frame is moulding.

If the total area of the frame is 100 square inches, then the area of the moulding is 20 square inches. Answer: 20.