Guys please help I don’t know how to do this we’re supposed to use the Pythagorean theorem

Answer:25

Step-by-step explanation:

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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A. A one-sample z-test for a population mean

A one-sample z-test is used to compare the sample mean to a known population mean. In this case, the researchers have a known population mean (the mean battery life of the older version of the battery) and they are trying to determine if the mean battery life of the new battery is greater than that. Therefore, a one-sample z-test is the appropriate test.

The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. The one-sample z-test is used to compare the sample mean to a known population mean. The researchers can use this test to determine if the mean battery life of the new battery is b significantly greater than the known mean battery life of their older version. The z-test will calculate the probability of the observed results occurring if the mean battery life of the new battery is actually equal to the known mean battery life of their older version. If the probability is low enough, the researchers can reject the null hypothesis (that the mean battery life of the new battery is equal to the known mean battery life of their older version) and conclude that the mean battery life of the new battery is greater than the known mean battery life of their older version.

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The additive inverse of the polynomial is:

7y^(2) - x^(2)y + 3xy + 7x^(2)

The additive inverse of a number A is a number B such that:

A + B = 0

B = -A

Similarly for polynomials, to find the additive inverse, you just need to multiply it by -1.

Here the polynomial is:

-7y^(2) + x^(2)y - 3xy - 7x^(2)

Then the additive inverse is:

-1*(-7y^(2) + x^(2)y - 3xy - 7x^(2))

7y^(2) - x^(2)y + 3xy + 7x^(2)

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After converting from Celsius to Fahrenheit , we will get 54 Celsius is equivalent to 129.2 Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

In this case, to convert 54 Celsius to Fahrenheit, we can substitute 54 for °C in the formula:

°F = (54 x 9/5) + 32

Simplifying this expression, we can first perform the multiplication and division:

°F = (97.2) + 32

Then we can add 97.2 and 32 to get the final answer:

°F = 129.2

It's worth noting that the Celsius and Fahrenheit scales are both used to measure temperature, but they have different starting points and different degrees of scale. Celsius is based on the freezing and boiling points of water, where 0 degrees Celsius is the freezing point and 100 degrees Celsius is the boiling point at sea level.

Fahrenheit, on the other hand, is based on a system of degrees devised by Gabriel Fahrenheit, with 32 degrees being the freezing point and 212 degrees being the boiling point at sea level.

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Answer:

The difference between -2and-3 and 1 and -3 is 1

Answer:

here's your answer

Step-by-step explanation:

hope it will help you

Answer:

              Teresa has 994 songs on her MP3 player.

Step-by-step explanation:

              We know that Rosanne has 142 songs on her MP3 player, and that Teresa has 7 times more songs than Rosanne does. Therefore, we can conclude that the number of songs that Teresa has 142 × 7 = 994 songs on her MP3 player.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:a =  17

b =  24

c =  16

d =  5

Step-by-step explanation:

a+b+c+d=62

a = b-7

c = 2/3·b

d = 5

a+b+c+d = 62

a-b = -7

2b-3c = 0

d = 5

Row 2 - Row 1 → Row 2

a+b+c+d = 62

-2b-c-d = -69

2b-3c = 0

d = 5

Row 3 + Row 2 → Row 3

a+b+c+d = 62

-2b-c-d = -69

-4c-d = -69

d = 5

d = 5/1= 5

c = -69+d/-4= -69+5/-4= 16

b = -69+c+d/-2= -69+16+5/-2 = 24

a = 62-b-c-d = 62-24-16-5 = 17

a = 17

b = 24

c = 16

d = 5

Three expressions containing exponents so that each expression equals 81 are,

1) 9²

2) 3⁴

3) 8² + 17

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We have to write three expressions containing exponents so that each expression equals 81.

Hence, We get;

Three expressions containing exponents so that each expression equals 81 are,

1) 81 = 9 × 9 = 9²

2) 81 = 3 × 3 × 3 × 3 = 3⁴

3) 81 = 8 × 8 + 17 = 8² + 17

Thus, Three expressions containing exponents so that each expression equals 81 are,

1) 9²

2) 3⁴

3) 8² + 17

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The volume of the figure is 18 cubic units

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

The figure

The figure can be divided into two 3-D figures represented below

Cube: side length = 2

Cuboid: 2 by 5 by 1

The volume of the figure is then calculated as

Volume = Volume of cube + Volume of cuboid

So, we have

Volume = 2 * 2 * 2 + 2 * 5 * 1

Evaluate

Volume = 18

Hence, the volume is 18 cubic units

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In a recent year, Saudi Arabia produced 8.2 million barrels of crude oil per day, compared to 6.4 million barrels per day for the United States. This was 28% more than what the United States produced.

Saudi Arabia now consumes 1.8 million more barrels of crude oil per day than the United States does. Crude Oil from Saudi Arabia: In January 2023, production was reported at 10,319,000 barrels per day, down from 10,475,000 barrels per day in the previous year.

In November 2022, crude oil production in Saudi Arabia was 10,468 thousand barrels per day, down from 10,957 thousand barrels per day the year before.

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Answer: -15

Step-by-step explanation:

The AP Statistics formula sheet is illustrated below.

An Advanced Placement (AP) Statistics class, you may be wondering if there is a formula sheet available to help you study and prepare for exams.

The formula sheet includes formulas and equations that are commonly used in statistics, such as measures of central tendency, standard deviation, probability, hypothesis testing, and regression analysis. These formulas are essential for understanding statistical concepts and solving problems in real-world applications.

It's important to note that while the formula sheet is available during the AP exam, it does not include every formula that you will need to know. You will still need to have a solid understanding of statistical concepts and be able to apply them to new situations.

In addition to the formula sheet, it's also helpful to practice working with data sets, analyzing graphs and charts, and interpreting results.

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Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

[tex]A = P(1 + r/n)^(nt)[/tex]

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

[tex]A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69[/tex]

Therefore, the value is obtained as $3187.69.

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The value of the term 14 times 39 can be expressed as the value of 2.7857.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Or, how do you increase something by 14 to get 39? If "x" in the phrase "14 times what = 39?" is "what," then the equation to use to solve the issue is as follows:

14 • x = 39

which is spelled out as:

14x = 39

In order to get the x alone, we must take the 14 from the left side of the equation. We multiply both sides by 14 to achieve that.

14x/14 = 39/14

39/14 is 2.7857 and 14x/14 equals x, thus our equation will be as follows:

x = 2.7857

Therefore, the result of 14 times what is 39 is 2.7857.

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Answer:

Step-by-step explanation:

Y=6m/1-m

x=3(m+1)/1-m

The perimeter of the triangle is the sum of the lengths of all three sides. Therefore, the expression for the perimeter is:

(10f + 6) + (2f-4) + (9g + 1)

Simplifying the expression:

= 12f + 9g + 3

Therefore, the expression for the perimeter of the triangle is 12f + 9g + 3 centimeters.

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

5.6 to the nearest 10th

The linear equation for salary will be S=$35000+$2000n where n=no. of years.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that Initial salary=$35000

Increment of $2000 every year

Then after n years salary will be

S=35000+2000n

where n=no. of years

hence,

          The linear equation for salary will be S=$35000+$2000n.

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The value of the missing angle of the diagram above would be = 78°

The total interior angle of a triangle = 180°

The value of the available angles given = 44° and 34°

The value of the third angle of the triangle = ?

That is ;

180 = 44+34+?

make ? the subject of formula;

? = 180 -78

? = 102°

But angle of a straight line = 180°

Therefore, <1 = 180-102 = 78°

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Answer:

Step-by-step explanation:

For y=7x, if y = 2, you have to do the same for x.

Example; 7x = y, 7(2) = (2), 14 = 2, 14,2

(please comment if I did anything wrong)

The new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3)

What are the coordinates of plane?

A coordinate plane is a framework for graphing and describing points and lines. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis. The coordinate plane is divided into four quadrants. The origin is the location where these lines meet (0, 0).

To find the new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin, we need to perform the following steps:

Rotate the original coordinates 90° clockwise: To do this, we swap the x and y coordinates and negate the new x-coordinate. If the original coordinates of the vertices of the triangle are (x1, y1), (x2, y2), and (x3, y3), then the rotated coordinates will be (-y1, x1), (-y2, x2), and (-y3, x3).

Dilate the rotated coordinates: To dilate the rotated coordinates by a scale factor of 3 centered at the origin, we multiply each coordinate by the scale factor. If the rotated coordinates of the vertices of the triangle are (-y1, x1), (-y2, x2), and (-y3, x3), then the dilated coordinates will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3).

Therefore, the new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3), where (x1, y1), (x2, y2), and (x3, y3) are the original coordinates of the vertices of the triangle.

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Answer:

172.72

Step-by-step explanation:

multiple 2.54 and 68

A solution to this inequality 2(x - 6) < 1/2(12x - 8) include the following: x > -2.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would multiply both sides of the inequality by 2 as follows;

2(x - 6) < 1/2(12x - 8)

4(x - 6) < (12x - 8)

4x - 24 < 12x - 8

By collecting like-terms and rearranging the expression, we have:

8 - 24 < 12x - 4x

-16 < 8x

x > -2

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Approximately 27% of the jerseys did not sell.

What is Percentage?

Percentage is a way of expressing a number as a fraction of 100. It is used to describe ratios, proportions, and changes in quantities in terms of a fraction of the whole.

Solution:

The school ordered 225 jerseys and sold 165, so the number of jerseys that did not sell is:

225 - 165 = 60

To find the percentage of jerseys that did not sell, we need to divide the number of unsold jerseys by the total number of jerseys ordered and then multiply by 100:

60 / 225 x 100% = 26.67%

Rounding this to the nearest percent gives: 27%

Therefore, approximately 27% of the jerseys did not sell.

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2.75 inches is equal to 69.85 millimeter

To convert 2.75 inches to millimeter, we can use the following formula:

1 inch = 25.4 millimeter

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in feet = conversion factor × The length in meter

Substitute the values in the equation

2.75 inches = 25.4 × 2.75

Multiply the numbers

= 69.85 millimeter

Therefore, 2.75 inches is 69.85 millimeter

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Linear transformation of a matrix is discussed below.

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Given is to discuss the linear transformation of a matrix.

Therefore, linear transformation of a matrix is discussed above.

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Answer:

3y + 2

Step-by-step explanation:

10 + 2y - 8 + y = 2y + y + 10 - 8 = 3y + 2