How many fewer people live in Elmira than White Plains

Using translation concepts, the equation for function g(x) given in the graph is:

[tex]g(x) = 2^{x + 2}[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function for this problem is given as follows:

[tex]f(x) = 2^x[/tex]

From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:

[tex]g(x) = 2^{x + 2}[/tex]

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The temperature does not change after the percentage increase and decrease.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Assume the initial temperature is 10.

Temperature after the 50% increase : (1 + 0.5) x 10 = 15

Temperature after the 33 1/3% decrease : (1 - 0.333) x 15 = 10.00

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Answer:

5a²b + 7ab² + 9c + 11a²b - 3ab² - 9c

= (5a²b + 11a²b) + (7ab² - 3ab²) + (9c - 9c)

= 16a²b + 4ab²

Answer:

Step-by-step explanation:

...You need to subtract that number of units from the function equation.

Example:  given y = x^2, and wanting to shift the entire graph down 3 units, we subtract 3 from y = x^2, obtaining y = x^2 - 3.

Answer:

Step-by-step explanation:

First, the y-intercept is -3 so from -3 the slop to the next point is 4/1.

Answer:

  True

Step-by-step explanation:

Lines in three dimensions can be one of ...

Lines are coplanar when a plane can be defined that includes the entirety of both of them. In the attached image, lines m₁ and n intersect and both lie in the gray plane. They are coplanar.

Lines m and m₁ are parallel, and both are contained in the turquoise plane. They are coplanar. A plane can always be drawn that will contain a pair of parallel lines. That is, any two parallel lines must be coplanar.

The lines m and n in the figure are skew, non-intersecting and non-parallel. They cannot be contained in a single plane.

__

Additional comment

Three or more parallel lines may not be coplanar. They will only definitely be coplanar when considered in pairs.

75 miles per hour is the rate of train.

Formula of speed = distance/time

let,

s1 , speed of A train = s

s2, Speed of B train = s

t1, time of travel for train A = 2.5h

t2, time of travel for train B = 4 h

d1, distance traveled by train A

distance travel by train A = speed*time

                                         = s1*t1

d2, distance traveled by train B

distance travel by train A = speed*time

                                         = s2*t2

Total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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75 miles per hour is the rate of the train.

Given:

Find:

Solution:

Formula of speed = distance/time

Let us consider

Speed of A train(s1) = s

Speed of B train(s2) = s

Time of travel for train A(t1) = 2.5h

Time of travel for train B(t2) = 4 h

Distance traveled by train A(d1)

                                        = speed*time

                                        = s1*t1

Distance traveled by train B(d2)

                                        = speed*time

                                        = s2*t2

The total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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Answer:

A

Step-by-step explanation:

Answer: 100

Step-by-step explanation:

Option b) is correct

In statistics, a histogram is a graphical representation of the distribution of data. A histogram is represented by a set of rectangles, adjacent to each other, where each column represents a certain type of data. Statistics is a stream of mathematics that is used in various fields. When figures are repeated in statistical data, this repetition is known as frequency and can be written in the form of a table, called a frequency distribution. Frequency distributions can be displayed graphically using different types of graphs and one of them is a histogram.

A histogram chart is used under certain conditions. They are:

Data should be numeric.

A histogram is used to check the shape of the data distribution.

It is used to check if the process changes from one period to another.

It is used to determine whether the output differs when it involves two or more processes.

It is used to analyze whether the given process meets the customer's requirements.

The data 1,2,12,14,15,16,18 is given

We need to find the histogram which best fits to the given data

Total number that falls between 0-9 is 2

Total Number that falls between 10-19 is 5

Total Number that falls between 20-29 is 1

Total Number that falls between 30-39 is 5

Total Number that falls between 40-49 is 3

Total Number that falls between 50-59 is 1

Hence the histogram is obtained

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Answer:

y-intercept: (0,3)

Step-by-step explanation:

To find the y-intercept, we set x to equal 0, giving the equation:

-3(0)+2y = 6

0+2y = 6

y = 3

Mrs Kingsley cut the ribbon into a length of 12.75 inches each.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

Length of each ribbon = 102 / 8 = 12.75 inches

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There are 180 numbers which are three-digit multiples of 5.

According to the statement

we have to find the three digit numbers which are multiples of 5.

we know that three digit numbers are start from 100 to 999 and in 1 line of counting means 100 to 110 there are 2 numbers are multiples of 5.

Here we use Multiplication method to find the number of digit which are a multiple of 5.

It means there are two numbers which are multiples of 5 in the one line of counting and there are 90 lines of  counting from 100 to 999.

So, it means the answer will become

2*90 = 180.

So, There are 180 numbers which are three-digit multiples of 5.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the legs

The value of  f –1(13) is 4

The table of values is given as:

x –4 0 2 5 9 13

f (x) –11 1 7 16 28 40

A linear function is represented as:

y = mx + b

Where b represents the y-intercept and m represents the slope

From the graph, when x = 0, y = 1.

This means that b = 1

So, we have

y = mx + 1

Also from the graph, when x = 2, y = 7.

So, we have:

7 = 2m + 1

Subtract 1 from both sides

7 - 1 = 2m + 1 - 1

Evaluate the difference

6 = 2m

Rewrite the above equation as:

2m = 6

Divide both sides of the equation by 2

m = 3

Substitute m = 3 in y = mx + 1

y = 3x + 1

The notation  f –1(13) implies that y = 13

So, we have

13 = 3x + 1

Subtract by 1

3x = 12

Divide by 3

x = 4

Hence, the value of  f –1(13) is 4

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Answer:

2-2 goes with 1 - 1

10 - 7 goes with 8 - 5

4 - 3 goes with 7 - 6

8 - 2 goes with 9 - 3

9 - 5 goes with 5 - 1

Have a nice day.

I am Clara btw.

Step-by-step explanation:

The 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (12.4,13.3).

Given that a sample of 101 cookies and per cookie in the sample has a mean of 12.9 and a standard deviation of 3.2.

From the given information,

Let n=101 represents the size of the sample.

Let [tex]\bar{x}[/tex]= 12.9 represents the mean of the sample.

Let s= 3.2 represents the standard deviation of the sample.

Degrees of freedom:

df = n-1

df= 101-1

df= 100

The critical value of t at 0.2 level of significance with 100 degrees of freedom is,

[tex]\begin{aligned}t_{cric}&=t_{(\frac{\alpha}{2}, n-1)}\\ &=t_{(0.2,100)}\\ &=1.2900\end[/tex]

The 80% confidence interval for the number of chocolate chips per cookie for Big chip cookies is computed as follows:

[tex]\begin{aligned}CI_{80\%}&=\bar{x}\pm t_{(\frac{\alpha}{2},n-1)}\left(\frac{s}{\sqrt{n}}\right)\\ &=12.9\pm 1.2900\left(\frac{3.2}{\sqrt{101}}\right)\\ &=12.9\pm 1.2900\times 0.3184\\ &=12.9\pm 0.410736\\ &=12.489264,13.310736\end[/tex]

Hence, the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies when the mean is 12.9 and standard deviation is 3.2 is (12.4,13.3).

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Answer:

The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Answer:

5.9512

Step-by-step explanation:

1. Convert the percentage to decimal

8% = 8/100 = 0.08

2. Multiply the decimal by the quantity to be extracted

(0.08)(74.39) = 5.9512

Hope this helps

Answer:

Step-by-step explanation:

143

or

121

We are accepting

does any of this help

The number whose sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed is 32

the number can be expressed as 10x + y

x + y = 5

(10x+y) - 9

= 10y+x

x + y = 5

9x - 9y = 9

x + y = 5

x - y = 1

Add the equations

2x = 6

x = 6/2

x = 3

substitute into

x + y = 5

3 + y = 5

y = 5 - 3

y = 2

Therefore, the unknown number is 32.

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Answer:

p > -6

Step-by-step explanation:

1) Add 12 to both sides.

p > -18 + 12

2) Simplify -18 + 12 to -6.

p > -6

Answer:

Step-by-step explanation:

Amount in fluid ounce of coffee

Its the only one that deals with numbers

Answer:

D. is the answer of your questions

Using it's concept, the standard deviation of the data is of 3.742.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

[tex]S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742[/tex]

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Answer:

D

Step-by-step explanation:

It pass the vertical line test.

Hope this helps <3

As per the given graph, the graph fails the vertical line test. The correct option is B.

A graph is a visual representation of data that uses lines, bars, or other symbols to show how different values are related to each other.

Graphs are often used to display information in a way that is easy to understand and interpret.

The vertical line test is a way to determine whether a given graph represents a function.

According to this test, if any vertical line intersects the graph at more than one point, then the graph does not represent a function.

In the given graph, we can see that there are some vertical lines that intersect the graph at more than one point, such as the vertical line passing through x = 2.

Therefore, the graph does not pass the vertical line test and does not represent a function.

Thus, the correct answer is B.

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2|48,64,72,96,108

2|24,32,36,48,54

2|12,16,18,24,27

2|6,8,9,12,27

2|3,4,9,6,27

2|3,2,9,3,27

3|3,1,9,3,27

3|1,1,3,1,9

3|1,1,1,1,3

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