how many tbsp is 3/8 cup

The simplified form of the fraction is 3/u², where u is a positive real number.To simplify this fraction, we can first simplify the denominator by using the exponent rule that says: [tex](a^{m}) ^{n} =(a^{m*n})[/tex]. Applying this rule, we get:

4(u³)⁴ = 4u³*⁴ = 4u¹²

Now, we can substitute this value back into the original fraction and simplify further:

(12u¹⁰)/(4(u³)⁴) = (12u¹⁰)/(4u¹²)

We can simplify the fraction further by dividing both the numerator and the denominator by the greatest common factor (GCF) of 12 and 4, which is 4. Also, we can simplify the exponent by using the exponent rule that says:  [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex]. Applying these steps, we get:

(12u¹⁰)/(4u¹²) = (3u¹⁰)/(u¹²) = 3/u²

Therefore, the simplified form of the fraction is 3/u², where u is a positive real number.

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One meter is equal to 39.3701 inches

To convert 1 meter to inches, we can use the following formula:

1 meter = 39.3701 inches

The conversion factor is 39.3701

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 inches = conversion factor × The length in meter

Substitute the values in the equation

1 meter = 39.3701 × 1

Multiply the numbers

= 39.3701 inches ( rounded to four decimal places )

Therefore, one meter is 39.3701 inches

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A calculator for simplifying fractions is a tool that can be used to reduce a fraction to its simplest form or lowest terms.

The process of simplifying a fraction involves finding the greatest common factor of the numerator and the denominator and then dividing both by that factor. This results in a fraction that has been simplified as much as possible. A calculator of simplifying fractions can perform this calculation automatically, making it a quick and easy way to simplify fractions.

This tool can be especially helpful for those who struggle with math, or for those who need to perform a large number of calculations quickly and accurately. Many online calculators are available for free and can simplify fractions in seconds.

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The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because mean 12 is the median. Hence, I went with 16 and 9.

The mean of a dataset, sometimes referred to as the arithmetic mean, is the sum of all results multiplied by the number of values . This is the most popular way to measure central tendency and is sometimes refereed to as the "mean." This is obtained by dividing the total total of values within the dataset by the sum of the values. Calculations may be performed using both raw data and information that has been compiled into frequency tables. The average of a number is referred to as average. Calculating the following is easy: After adding all the digits, divide by the number of digits. the sum split by the count.

The query is not complete. It would still be 9 and 16 if the question asked for the two numbers that may represent the lowest and highest scores.

9 numbers in total. List them in descending order. Your Median is the middle number. The gap between the greatest and the lowest number called the range. The probabilities are therefore 8-1, 9-2, 10-3, 11-4, 12-5, 13-6, 14-7, 15-8, 16-9, 17-10, 18-11, and 19-12. The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because 12 is the median. Hence, I went with 16 and 9.

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The value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.

A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.

The collection of all values that, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property and the multiplicative property are utilised to determine the solutions for equations needing a single unknown raised to a power of one.

The equation given to predict the weight from height is:

ŷ = -260 + 6.6x

Given that, Shawna’s height was 64 inches.

Substituting the value in x we have:

ŷ = -260 + 6.6x

ŷ = -260 + 6.6(64)

ŷ = 162.4

The actual weight is given as 150 pounds.

The residual value of the weight from the predicted formula is:

r = 162.4 - 150

r = 12.4

Hence, the value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.

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Answer:

-12.4

Step-by-step explanation:

Answer:

x = 14°

z = 74°

Step-by-step explanation:

10x - 34° = 106° ( A.I.A )

x = 72°

106° + z = 180° ( linear pair axiom )

z = 74°

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Answer:

x=14°

z= 74°

Step-by-step explanation:

Here

(10x-34)°= 106°

since the Vertically Opposite Angle are equal.

so solving for it.

First, we can add 34° to both sides of the equation to get:

10x° - 34°+ 34° = 106° + 34°

Simplifying the left side gives:

10x° = 140°

Then we can divide both sides of the equation by 10 to get:

x = 14°

Again

z+106°=180°

since the sum of angle in the linear pair is equal to 180°

solving for it

we can subtract 106° from both sides of the equation to get:

z + 106° - 106° = 180° - 106°

Simplifying the left side gives:

z = 74°

The formula for a solid sphere is V = 4/3πr³

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. It is a group of points in three dimensions that are all situated at the same r-distance from one another. The supplied point is the sphere's centre, while the letter r stands for the sphere's radius. It has a spherical, symmetrical shape.

It is a three-dimensional solid with equal distances between each surface point and the centre. On the basis of its radius, it has a surface area and a volume. There are no faces, corners, or edges on this geometrical figure. The formula for a solid sphere is V = 4/3πr³. Here V is the volume of the shape and r is the radius of the shape.

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MaryAnn can order a total of 213 prints for cost $35, including shipping.

Each print costs $0.15, so MaryAnn can order $35/$0.15 = 233.33 prints, but since she can only order whole prints, she can order a maximum of 233 prints.

The shipping charge is a flat fee of $3.00 per order, regardless of how many prints MaryAnn orders.

Let's say MaryAnn orders x prints, then her total cost would be:

Cost = $0.15 x + $3.00

Since her total cost can't exceed her budget of $35, we can set up the following inequality:

$0.15 x + $3.00 ≤ $35.00

Subtracting $3.00 from both sides, we get:

$0.15 x ≤ $32.00

Dividing both sides by $0.15, we get:

x ≤ 213.33

Since MaryAnn can only order whole prints, she can order a maximum of 213 prints.

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The values of the variables are x = 38 and x = 14

Triangle 1

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

The triangle

Where, we have

x - 2 : 27 = 4 : 3

This gives

(x - 2)/27 = 4/3

This gives

x - 2 = 36

This gives

x = 38

Triangle 2

Here, we have

13/3x = 7/(2x - 5)

Cross multiply

26x - 70 = 21x

So, we have

5x = 70

Divide

x = 14

Hence, the value of x is 14

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Answer: 40.6

Step-by-step explanation:

first you write the formula (a= a+b divided by 2 times h)

11+3 divided by 2 times 5.8

14 divided by 2 = 7 times 5.8

The correct answer is 40.6

30 centimeter is approximately equal to 11.8110 inches ( rounded to four decimal places )

To convert 30 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

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 inches = conversion factor × The length in centimeter

Substitute the values in the equation

30 cm = 30 x 0.393701

Multiply the numbers

= 11.8110 inches ( rounded to four decimal places )

Therefore, 30 centimeter is 11.8110 inches

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Answer: 240 people

Step-by-step explanation:

If each class has 23 students and 1 teacher then there are a total of 24 people in each class. Multiply that by 10 classes, you should get 240 people.

The value which is converted from Celsius to Fahrenheit is given by 38 Celsius is equal to 89.6 Fahrenheit.

Units which represents the measurement of the temperature in standard form Celsius and Fahrenheit .

Formula which relates the Celsius and Fahrenheit are given by

(°C × 9/5) + 32 =°F

Now Substitute the value 32 Celsius which needs to convert  into Fahrenheit we get,

(32°C × 9/5) + 32

= ( 288 / 5 ) + 32

= ( 57.6 ) + 32

= 89.6°F

Therefore, the converted value from Celsius to Fahrenheit for the given 32 Celsius is given by 89.6 Fahrenheit.

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The above question is incomplete , the complete question is:

What is the conversion of 32°C to °F ?

Answer:

Q1: [tex]y\leq -x^2+5x-4[/tex]

Q2: [-3/2,1/4]

Q3: [-4,3]

Step-by-step explanation:

Answer: 1.65831239518

Step-by-step explanation:

The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as

(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777

The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.

The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.

It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.

It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.

It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.

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Answer:

y = - 3x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x - 3y = 3 ( subtract x from both sides )

- 3y = - x + 3 ( divide through by - 3 )

y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute (5, - 9 ) into the partial equation

- 9 = - 3(5) + c = - 15 + c ( add 15 to both sides )

6 = c

y = - 3x + 6 ← equation of perpendicular line

The square that must be cut from each corner of the cardboard to form a box with a volume of 189 cubic inches is 3 inches on each.

Four equal sides and four right angles make up the two-dimensional shape known as the square. It is one of the most prevalent geometric shapes. There are a variety of useful applications for squares, including constructing tiling, patterns, and grids.

Given:

Length = 15 - 2x

Width = 13 - 2x

So, volume = lwh

189 = (15- 2x) (13 -2x) x

189 = (195 - 30x - 26x + 4x²)x

195x -56x² + 4x³ = 189

4x³ - 56x² + 195x - 189 = 0

On solving the cubic equation we get

x= 1.69, 3 and 9.3

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Answer:

4

Step-by-step explanation:

4

Answer:

52.75

i hope it helps

The range of the number of miles Maria jogged is 1 to 7.99

C. 1 to 7.99

What is the histogram?

A histogram is a graph used to represent the frequency distribution of a few data Set of one variable.

Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.

As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:

Hence, the range of the number of miles Maria jogged is 1 to 7.99

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The conversied value of 152 centimetres in feet is equals to the 4.98 feet.

Unit conversion, by definition, is the conversion between different units and measurements of the same quantity done in the process of multiplication or division. In mathematics, conversion is the process of changing a value from one form to another, such as converting a value from inches to millimeters, for time minutes to hours, or other units.

How to convert centimeters to feet : 1 meter is a measure of length and equals approximately 3.28 feet.

152 meters = 152×3.28 feet = 498.56 feet --(1)

But we need to convert 152 centimeters to feet. So change meters to centimeters. As you know, 1 meter is 100 centimeters, so 152 meters = 15200 centimeters --(2). Now from equations (1) and (2),

15200 centimeters = 498.56 feet,

Divide both parts by 100,

=> 152 centimetres = 498.56/100 feet

= 4.98 feet

Hence required value is 4.98 feet.

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Therefore, the value of the expression E¹⁰ⁿ=1 8(1/4)ⁿ⁻¹ is 27.

A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written as two numbers, one above the other, with a horizontal line separating them. The number above the line is called the numerator and the number below the line is called the denominator. For example, the fraction 3/4 represents three parts out of four equal parts, or the ratio of three to four. Fractions can be used to represent a wide range of values, including numbers between whole numbers (such as 1/2 or 3/5), ratios between quantities (such as 2/3 cups of flour to 1 cup of sugar), and percentages (such as 75/100, which is equivalent to 75%, or three-quarters). Fractions are an important concept in mathematics and are used in many different contexts, such as in cooking, measurement, and finance.

Here,

The expression E¹⁰ⁿ=1 8(1/4)ⁿ⁻¹ means we need to evaluate the sum of the expression 8(1/4)ⁿ⁻¹, as n ranges from 1 to 10.

To do this, we can simply substitute each value of n into the expression and add up the results. Here are the first few terms of the sum:

n = 1: 8(1/4)⁰ = 8

n = 2: 8(1/4)¹ = 2

n = 3: 8(1/4)² = 1/2

n = 4: 8(1/4)³= 1/8

We can continue this pattern for the remaining values of n, and then add up all the terms:

8 + 2 + 1/2 + 1/8 + ... + (1/4)⁹

To simplify this expression, we can use the formula for the sum of a geometric series:

S = a(1 - rⁿ) / (1 - r)

where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.

In this case, the first term is 8, the common ratio is 1/4, and there are 10 terms. So we can substitute these values into the formula to get:

S = 8(1 - (1/4)¹⁰) / (1 - 1/4)

S = 8(1 - 1/1048576) / (3/4)

S = 8(1048575/1048576) * (4/3)

S = 8 * (3495250/1048576)

S = 27

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The value of centimeter to inches is converted by the conversion factor of 2.54 so 15 cm is 5.9 inches.

The conversion factor of 0.393701 can be used to change a measurement from centimetres (cm) to inches (in). To find the number of inches, multiply the number of centimetres by 0.393701. In this instance, 11.42 inches are equal to 29 cm multiplied by 0.393701.

It's crucial to remember that this conversion is based on the International System of Units (SI), and it could not be the same in other measurement systems. Also, it is important to remember that centimetres (cm) and inches (in) are units of measurement for length and not for other types of measures like mass, area, or volume.

Use the proper unit of measurement for the activity or the environment; failing to do so could result in mistakes and inaccurate results. Also, it's crucial to ensure that the measurements are taken on the same scale, as doing otherwise could result in inaccurate conversions. While inches are primarily utilised in the United States and the United Kingdom, centimetres are extensively used across the rest of the world.

When determining smaller lengths or widths, such as for clothing or paper size measurements, this conversion is frequently used.

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Randomization in an experiment is important because it ensures that the results achieved are accurate .

Randomization in an experiment refers to a random assignment of participants to the treatment in an experiment .

Randomizing the experiments can help you get the best cause-effect relationships among the variables. It helps in controlling the lurking variables . These variables can affect the results to be different from what they are supposed to be . Randomization prevents biases and makes the results fair.

For ensuring that the information obtained from the experiment is correct, A randomized experiment is perfect to help us .

Researchers control values of the explanatory variable with a randomization procedure. So, if we see a relationship between the explanatory variable and response variables, we can say that it is a causal one.

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The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.

It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.

On this note, since the given number is; 836534.

The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.

Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.

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Rounding off 836534 into 2 significant fiqure will give us  840000.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.

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Answer:18000$

Step-by-step explanation:

Answer

True, True, False

Step-by-step explanation:

I am not quite sure but I hope this helps in any way.

I say True to the Increasing from minute to 25 because Clayton’s time starts at 0 and the time increases to 25 minutes.

I say True because if you see the point where it shows 25 minutes and stops at 60 minutes until Clayton goes back up, it shows the line regularly occurring which would make him be constantly moving to 60 minutes. (Constant means to regularly occur)

I say false because Clayton’s time is increasing into 90 minutes, not decreasing. Also its kinda like the same concept as the Increasing from minute 0 to 25.

Now that we know the value of x, we can find the values of DP, PH, and HD:

DP = 17x = 17(0.295) = 5.015

PH = 6x + 5 = 6(0.295) + 5 = 6.77

HD = 20x - 3 = 20(0.295) - 3 = 2.9

Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.

The perimeter of a form is its edge's radius. Learn how to multiply the lengths of a shape's sides to determine its perimeter.

To solve this problem, we need to use the fact that the perimeter of ADPH is 23.5. We know that AD = DP + HD, and we also know the values of DP, PH, and HD in terms of x. So, we can set up an equation using these values and solve for x.

AD = DP + HD

AD = 17x + (20x - 3)

AD = 37x - 3

Perimeter of ADPH = AD + DP + PH + HD

23.5 = (37x - 3) + 17x + (6x + 5) + (20x - 3)

Simplifying the above equation, we get:

23.5 = 80x - 1

Solving for x, we get:

x = 0.295

Now that we know the value of x, we can find the values of DP, PH, and HD:

DP = 17x = 17(0.295) = 5.015

PH = 6x + 5 = 6(0.295) + 5 = 6.77

HD = 20x - 3 = 20(0.295) - 3 = 2.9

Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.

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The conversion of 52 degree F into Celsius is 11.11 Degree Celsius.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

C= 5/9 (F- 32)

and, F = 9/5C + 32

We have F= 52 F put the value to Celsius Formula

C = 5/9 (52- 32)

C = 5/9 (20)

C = 100/ 9

C= 11.11

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