State the domain and range for the association:

I don’t know how to solve this I need the range and domain for this association. Please

Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

To find the mean and standard deviation of the corrected pH measurements, we can use the following formulas:

Corrected Mean = (Original Mean + Correction Factor) * Multiplication Factor

Corrected Standard Deviation = Original Standard Deviation * Multiplication Factor

The correction factor is 0.3 and the multiplication factor is 1.4. Therefore, the corrected mean is:

Corrected Mean = (4.8 + 0.3) * 1.4 = 7.14

And the corrected standard deviation is:

Corrected Standard Deviation = 1.2 * 1.4 = 1.68

Therefore, the mean of the corrected pH measurements is 7.14 and the standard deviation is 1.68.

In summary, to find the corrected mean and standard deviation of the pH measurements, we need to add the correction factor (0.3) to the original mean, multiply the result by the multiplication factor (1.4), and multiply the original standard deviation by the multiplication factor. The corrected mean is 7.14 and the corrected standard deviation is 1.68.

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The probability is approximately 0.9167 or 91.67%.

To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.

There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).

Now let's determine the favorable outcomes (sums less than or equal to 10):

When the sum is 2: There is only one combination (1 + 1).

When the sum is 3: There are two combinations (1 + 2 and 2 + 1).

When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).

When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).

When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).

When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).

When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).

When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).

When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).

Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.

Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:

Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.

So, the probability is approximately 0.9167 or 91.67%.

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Answer:

2401

Step-by-step explanation:

7 x 7 to power of 4

7 x 7 x 7 x 7

=2401

Answer:

Step-by-step explanation:

Here you go mate

Step 1

7 x 7^4  Equation

Step 2

7 x 7^4  simplify

7x7x7x7x7

step 3

7x7x7x7x7  multiply

answer

16807

Answer:

Step-by-step explanation:

Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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Answer:

-27

Step-by-step explanation:

(g+ 12) = 5(9 - 12)

g = 45 - 60 - 12

g = - 27

Answer:

g = 3

Step-by-step explanation:

- (g+ 12) = 5(9 - 12)     (remove parentheses by distributive property. See attached for reference)

g(-1) +  12(-1) = 9(5) -12(5)

-g - 12 = 45 - 60

-g - 12 = -15    (add 12 to both sides)

-g = -15 + 12

-g = -3   (multiply both sides by -1)

g = 3

The process of measuring using a 25 mL graduated cylinder involves pouring the liquid into the cylinder and reading the volume at the meniscus. When using a 25 mL graduated cylinder, you must estimate to the nearest tenth of a milliliter (0.1 mL).

When measuring using a 25 mL graduated cylinder, the following process is typically followed:

Prepare the graduated cylinder: Ensure that the graduated cylinder is clean and dry before use. Check for any cracks or chips that could affect the accuracy of the measurement.

Read the initial volume: Hold the graduated cylinder at eye level and carefully pour the liquid into it until the desired volume is reached. Align the bottom of the meniscus (the curved surface of the liquid) with the closest graduation line.

Estimate the additional volume: If more liquid is needed, pour it slowly into the graduated cylinder while keeping it at eye level. As the liquid level rises, read the volume by aligning the bottom of the meniscus with the closest graduation line.

Take the final volume measurement: Once you have added the desired amount of liquid, read the final volume by aligning the bottom of the meniscus with the closest graduation line.

To estimate using the 25 mL graduated cylinder, you must estimate to the nearest tenth of a milliliter (0.1 mL) or the first decimal place.

This means that if the liquid level falls between two graduation lines, you estimate the value based on the markings on the cylinder.

For example, if the liquid level is slightly above the 5 mL line but not quite at the 6 mL line, you would estimate the volume as 5.2 mL or 5.3 mL, depending on the level of precision required.

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To solve this problem, we need to convert the hexadecimal numbers (20cba)16 and (a02)16 to decimal form, add them together, and then convert the result back to hexadecimal form.

(20cba)16 = 2x16^4 + 12x16^3 + 11x16^2 + 10x16^1 = 131402

(a02)16 = 10x16^2 + 0x16^1 + 2x16^0 = 256

Adding the two decimal numbers together gives us:

131402 + 256 = 131658

To convert this decimal number back to hexadecimal form, we can use the repeated division method.

131658 / 16 = 8228 remainder 10 (A)

8228 / 16 = 514 remainders 4 (4)

514 / 16 = 32 remainder 2 (2)

32 / 16 = 2 remainder 0

2 / 16 = 0 remainder 2

Therefore, (20cba)16 + (a02)16 = (131658)10 = (2002A)16.

To find their product, we can multiply the two decimal numbers together and then convert the result to hexadecimal form.

131402 x 256 = 33559552

Converting this decimal number to hexadecimal form gives us:

33559552 / 16 = 2097472 remainder 0

2097472 / 16 = 131092 remainder 0

131092 / 16 = 8193 remainder 4 (4)

8193 / 16 = 512 remainders 1 (1)

512 / 16 = 32 remainder 0

32 / 16 = 2 remainder 0

2 / 16 = 0 remainder 2

Therefore, the product of (20cba)16 and (a02)16 is (33559552)10 = (2011004)16.

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Answer:  30 cents per ounce (approximate)

Work Shown

10 oz = 2.99 dollars

10/10 oz = 2.99/10 dollars

1 oz = 0.299 dollars

1 oz = 0.30 dollars

1 oz = 30 cents

The unit cost is approximately 30 cents per ounce.

Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

165 ft / 15 inches = 11

scale = 1 inch = 11 feet

which is written as 1:11

============================================================

Further explanation:

When going from smallest to largest, the data set sorts to

{23.5, 24, 25, 27, 29.25, 30.75, 31.25, 32, 33.5, 36}

The range is the difference of the smallest and largest items.

range = max - min

range = 36 - 23.5

range = 12.5

This is the gap between the smallest and largest values. It helps tell us how spread out the data set is. The larger the range, the more spread out the data set will be.

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

There are n = 10 items in the data set.

The median is between slot 5 and 6 because n/2 = 10/2 = 5

The values in slots 5 and 6 are 29.25 and 30.75 in that order.

The midpoint of them is (29.25+30.75)/2 = 30 which is the median

Next, we'll form two smaller subsets L and U

L = lower subset of items below the median

L = {23.5, 24, 25, 27, 29.25}

U = upper subset of items above the median

U = {30.75, 31.25, 32, 33.5, 36}

The medians of sets L and U are 25 and 32 respectively. These are the Q1 and Q3 values

Q1 = first quartile = 25

Q3 = third quartile = 32

IQR = interquartile range

IQR = Q3 - Q1

IQR = 32 - 25

IQR = 7

The interquartile range is 7. It also tells us how spread out the data set is, but it only focuses on the middle 50% of the data.

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

Now let's compute the lower fence (LF) and upper fence (UF). This will be helpful to see if we have any outliers.

We'll start with LF

LF = Q1 - 1.5*IQR

LF = 25 - 1.5*7

LF = 14.5

Is any value smaller than LF? The answer is no because the 23.5 is the min. We don't have any small outliers.

We'll need the upper fence UF as well

UF = Q3 + 1.5*IQR

UF = 32 + 1.5*7

UF = 42.5

Is any value above this upper fence? The answer is no because 36 is the max. We don't have any large outliers.

Every value in the data set is between LF = 14.5 and UF = 42.5; therefore, there are no outliers.

Answer:

Step-by-step explanation:

The range is 12.5 kilograms

innerquartile range is 7

The data set does not have any outliers

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

Answer:

$36,075

Step-by-step explanation:

Cheryl's annual rent as a function of her annual sales is:

\(R = 1,400*2*12+(x-100,000)*0.055\)

Where x are her annual sales, if x > $100,000. This function considers her fixed rent of $2 per square foot for 12 months, and her sales dependent rent.

Since she made $145,000 last year, her annual rent is:

\(R = 1,400*2*12+(145,000-100,000)*0.055\\R=\$36,075\)

Her annual rent is $36,075.

The percent increase in population of the city is 17%.

A percentage in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). A percentage lacks dimensions and has no associated unit of measurement.

For instance, 45% (written as "forty-five percent") equates to the fraction \(\frac{45}{100}\)  .

The percentage increase is calculated by the ratio of the increase to the original value. So to calculate the percent increase in the population of a city we have to find the ratio of the increase in population to the original population.

The population of the city is given as 117,000 .

The population increased to 136890.

Increase in population=136890-117000=19890

percentage increase in population

\(=\frac{19890}{117000} \times 100\%\)

= 0.17×100%

=17%

The percent increase in the population of the city is 17%.

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expression: -24 * 4

Integer: -96

The pool loses 96 fl oz of water after 4 minutes.

The main function is given by:

f (x) = sine (x)

We then have the following transformations:

Reflections:

Reflection or turning is the mirror image of a figure. It can also be said that it is the turning of points and graphs around the axes.

To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)

f (x) = - sine (x)

Expansions and vertical compressions:

To graph y = a*f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f (x) = - 2 * sine (x)

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

f (x) = - 2 * sine (x) + 3

Answer:

C. reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up

The set of transformations which is needed to graph f(x) = –2sin(x) + 3 is reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up, the correct option is C.

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

We are given that;

The function= f(x) = –2sin(x) + 3

Now,

To graph f(x) = –2sin(x) + 3 from the parent sine function y = sin(x), we need to apply the following transformations:

A reflection across the x-axis, because of the negative sign in front of the 2.

A vertical stretching by a factor of 2, because of the absolute value of the coefficient of sin(x), which is 2.

A vertical translation 3 units up, because of the constant term 3.

Therefore, by transformations answer will be Reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up.

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Answer:

7.99- no

8.162- no

8.074- yes

8.13- yes

8.012- no

Step-by-step explanation:

7.99 to the nearest tenth = 8.0

8.162 to the nearest tenth= 8.2

8.074 to the nearest tenth=8.1

8.13 to the nearest tenth=8.1

8.012 to the nearest tenth=8.0

When rounding to the nearest tenth look at the place after it. If it is less than five then the number in the tenth will be rounded to 0. However if the following digit is 5 and above, 1 is added to the number you are rounding.

Step-by-step explanation:

3.14 is rounded to the nearest 100th    (4 is the hundredth position)

Answer:

D I think

Step-by-step explanation:

one dozen is 12 so you reduce it so you make it smaller

The dropped observation is solely based on which data point is the oldest in the "three" data points being considered. This moving average method helps to smooth out fluctuations in data and can provide a clearer understanding of trends over time.

In a 3-period moving average, the calculation involves taking the average of the last three observations. When a new observation becomes available, the oldest observation in the set is dropped to make room for the new one. This process is repeated for each subsequent observation, with the oldest value being dropped and the newest value being added. It is important to note that when calculating a moving average, the number of periods used in the calculation will impact the accuracy and sensitivity of the result.

When a new observation becomes available, the oldest data point is dropped, and the new data point is included in the calculation. This process ensures that the moving average always reflects the most recent "three" data points. It's important to note that the highest numerical observation isn't necessarily dropped in each calculation.

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Answer:

11 mushrooms

Step-by-step explanation:

If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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The factored form of the quadratic equation is given as follows:

y = 3(x + 0.6667)(x - 6).

The quadratic equation for this problem is defined as follows:

3x² - 16x - 7 = 5.

3x² - 16x - 12 = 0.

The coefficients are given as follows:

a = 3, b = -16, c = -12.

Hence the discriminant is of:

D = (-16)² - 4(3)(-12)

D = 400.

Then the roots are of:

Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:

y = 3(x + 0.6667)(x - 6).

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Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

\(\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2\)

Now,

\(1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016\)

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

\(\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224\)

numbers, and their sum is

\(\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400\)

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of \(1+9\times2=19\).

So, the sum of the first 1234 terms in the sequence is 2419.