Write a rule for the relation shown in the table.
X: 1, 2, 3, 4
Y: 10, 12, 14, 16

Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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To prove congruence using SAS Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.

The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.

Hence, To prove congruence using S Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.

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Answer:

0.0359 approximately 0.0360

Step-by-step explanation:

Mean = 7% = p

N = 527

We find The standard deviation

√p(1-p)/n

√0.07(1-0.07)/527

= √0.0651/527

= 0.01111437889

We are now to get z score

x = 0.09

U = 0.07

Sd = 0.01111437889

Z = x-u/sd

= 0.09-0.07/0.1111437889

= 1.799470775

Going to the statistical table,

P(z>1.799470775)

= 0.035972123

This is in the right tailed area

We approximate to 0.036.

Solving a system of equations we will see that she deposited $18,000 at the 4.5% rate and $36,000 at the 5% rate.

First, let's define the variables:

We know that:

y = 2*x

And because the total income is $2610, then:

0.045*x + 0.05*y = $2610

So we have a little system of equations:

y = 2*x

0.045*x + 0.05*y = $2610

To solve this we can replace the first equation into the second one:

0.045*x + 0.05*(2x) = $2610

x*(0.045 + 0.1) = $2610

x*0.145 = $2610

x = $2610/0.145 = $18,000

We conclude that she deposited $18,000 at the 4.5% rate, and twice that amount (2*$18,000 = $36,000) at the 5% rate.

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Answer:

Step-by-step explanation:

Variance of X = 9

Regression equations are

(*) 8x −10y + 66 = 0

(**) 40x −18y − 214 = 0

Find out the following missing results.

(i) The means of X and Y

(ii) The coefficient of correlation between x and y

(iii) The standard deviation of Y

Answer: x is 9

Step-by-step explanation:

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

Answer:

Step-by-step explanation:

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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The true statement is mean > median

The mean is the average value.

So, we have

Mean = Sum/Count

This gives

Mean = (8 * 1 + 10 * 3 + 14 * 2)/(1 + 3 + 2)

Evaluate

Mean = 11

The mode is the measure with the highest frequency.

So, we have

Mode = 10

The median is the middle element

So, we have

Median = 10

The mean (11) is greater than the mode and the median

Hence, the true statement is mean > median

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Answer:

3x + y = 9.5

Step-by-step explanation:

1) The equation of a line is in the form of y = mx + c, where m is the gradient and c is the y-intercept. Write the given values in that form.

y = -3x + c

2) Find the value of k by using the following formula: m = y2 - y1 / x2 - x1. We already know m.

-3 = 8 - k / k - 3

-3(k - 3) = 8 - k

-3k + 9 = 8 - k

-3k + k = 8 - 9

-2k = -1

k = -1/-2

k = 1/2

3) Therefore, a line with gradient of - 3 passes through the points (3, 1/2) and (1/2, 8). We can find the y-intercept (c). To do so, choose one of the coordinates and substitute.

y = -3x + c

1/2 = -3(3) + c

1/2 = -9 + c

1/2 + 9 = c

9.5 = c

Completed equation of the line: y = -3x + 9.5

4) Write it in the form of ax + by = c.

3x + y = 9.5

The time needed for the battery to run down one sixth of its capacity of 3 600 milli-Ampere-hours is given as follows:

2.4 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, when x increases by 2, y decays by 500, hence the slope is given as follows:

m = -500/2

m = -250.

One sixth of the battery is given as follows:

1/6 x 3600 = 600.

Hence the time needed is given as follows:

600/250 = 2.4 hours.

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The slope is of $13, which means that each new sign costs $13.

-----------------

A linear function has the following format:

\(y = mx + b\)

In which

-----------------

\(m = \frac{202 - 72}{15 - 5} = 13\)

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Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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Answer:

Step-by-step explanation:

number of books are 5 so you will have to do 5 by hundred  which will lead to twenty percent

The likelihood that the manager will choose the longest just-received nonfiction book and the shortest recently arrived fiction book is 1/20, or 5%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

The probability of selecting the shortest fiction book is 1/5 and the probability of selecting the longest nonfiction book is 1/4. Since these events are independent, we can multiply their probabilities to find the probability of both events happening:

P(shortest fiction book and longest nonfiction book) = P(shortest fiction book) x P(longest nonfiction book) = 1/5 x 1/4 = 1/20

So the probability that the manager will select the shortest of the newly arrived fiction books and the longest of the newly arrived nonfiction books is 1/20, which is equivalent to 5%.

Therefore, the answer is option A.

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Answer: He has to climb 21,857 ft to reach the top of the mountain

Step-by-step explanation:

21,365 + 492 = 21,857

Answer:

\(9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]\)

Step-by-step explanation:

Given

\(9c^3 - 12c^2 - 18c - 24\)

Required

Factor

Group into 2

\([9c^3 - 12c^2] - [18c + 24]\)

Factorize each group

\(3c^2[3c - 4] - 6[3c - 4]\)

Factor out 3c - 4

\([3c^2 - 6][3c - 4]\)

Hence:

\(9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]\)

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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Answer: $2.50

$10.00 per 4 liters

10/4=2.5

I hope this is good enough:

Answer:  because i just want points and 1 +2= 3

Step-by-step explanation: because  if u add 2 with 1 u will get 3

The worth of the old scanner machine in the open market will be $86601.60.

To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.

The calculation of the worth of the scanner goes thus:

Let the worth be represented by x.

x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)

= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50

0.4021x = 34822.50

Divide by 0.4021

x = 34822.60/0.4021

x = 86601.60

Therefore, the worth is $86601.60.

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Answer: B. (6, ∞)

Step-by-step explanation:

    The domain of the function is all of the inputs. On a graph, it is the x-values.

    See the attached image for a visual and further explanation.

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Answer: b

Step-by-step explanation:

Answer:

its -4.5??? what is the question you're asking

Answer:

f(x)=(-3)x

Step-by-step explanation:

Answer:

ƒ( x ) = 4(0.25) x

Step-by-step explanation:

because my test says so.....

Answer:

Its a

Step-by-step explanation:

took the test egde 2021

The difference between the new, colder temperature and the original temperature is 30 ° C.

"Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature). Temperature is not the equivalent of the energy of a thermodynamic system; e.g., a burning match is at a much higher temperature than an iceberg, but the total heat energy contained in an iceberg is much greater than the energy contained in a match. Temperature, similar to pressure or density, is called an intensive property—one that is independent of the quantity of matter being considered—as distinguished from extensive properties, such as mass or volume."

Given,

The old temperature is = 18°C

The new temperature is = -12°C

The difference in temperature is \((-12\°C - 18\°C) = 30\°C\)

Hence, A is the correct option.

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Answer:

See explanation below (type a 1 (one) in each box)

Step-by-step explanation:

Notice that by using the exponent notation and properties, the given exponents can be re-written and simplified as shown below:

\(\frac{(x^{20})^\frac{1}{10} }{\sqrt{x^6} } =\frac{x^2}{x^\frac{6}{2}} =\frac{x^2}{x^3} =\frac{1}{x}\)

As you seem to have found. Well done!

What you are expected to do, is to type the coefficient that goes in the numerator (in your case a "1", and in the box below, the exponent that x has in the denominator (in your case also a "1").

So please complete the question as shown below typing a "1" in each box:

\(\frac{1}{x^1}\)

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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