Sean partially filled a container with water. The container was shaped like a box and had dimensions of 9 inches long, 8 inches wide, and 10 inches high. If w represents the height of the water (in inches), and the volume V (in cubic inches) of the water is given by the formula V = 72 w , which quantity is the independent variable?

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Answer:

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²=  2*-8y*By

-32y² = -16By²        Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

B = 2

Step-by-step explanation:

2x^2 − 12xy − 32y^2

Factor out a 2

2 ( x^2 -6xy -16y^2)

Factor inside the parentheses

What two numbers multiply to -16 and add to -6

-8 * 2 = -16

-8+2 = -6

2( x-8y) ( x+2y)

B = 2

it is not possible for det A to equal 3 if the entries of both A and A^-1 are integers.

The determinant of a matrix and its inverse are multiplicative inverses of each other, meaning that det(A)det(A^-1) = 1. If det A = 3, then det(A^-1) = 1/3. However, since the entries of both A and A^-1 are integers, this is a contradiction, as the determinant of a matrix with integer entries must also be an integer. Therefore, it is impossible for det A to equal 3 in this scenario.

it explains the reasoning behind the solution and provides a deeper understanding of the concept of determinants.

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The values of 'a' for which all solutions of the given differential equation tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞).

On the other hand, the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

To determine the values of 'a' for which all solutions tend to zero as t approaches zero, we need to analyze the behavior of the differential equation near t = 0. By studying the characteristic equation associated with the differential equation, we find that the roots are given by r = 2 and r = a. For the solutions to tend to zero as t approaches zero, we require the real parts of the roots to be negative. This condition leads to a ∈ (-∞, 0) ∪ (4, ∞).

To determine the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity, we again examine the characteristic equation. The roots are given by r = 2 and r = a. For the solutions to become unbounded as t approaches infinity, we need at least one of the roots to have a positive real part. Therefore, the values of 'a' that satisfy this condition are a ∈ (0, 4).

In summary, the values of 'a' for which all solutions tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞), and the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

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Identify the given systems of equations. Use the formulation in (29) to rewrite each equation in terms of x.

Write the rewritten equations in a systematic form using the variables to provide a conclusion summarizing the process.

To rewrite the given systems of equations in the form x, you need to use the formulation in (29). This formulation will help you express each equation in terms of x.

After rewriting each equation, you can then write them in a systematic form using the variable x.

By following the formulation in (29) and substituting x into each equation, you can rewrite the systems of equations in terms of x. This will allow you to represent the equations in a systematic form using the variable x.

To rewrite systems of equations in the form x, use the formulation in (29). This will help you express each equation in terms of x.

By substituting x into each equation, you can rewrite the systems of equations in a systematic form using the variable x.

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The correct answer is C.  The country-where-manufactured variable is nominal data because the categories (countries) are not ordered and cannot be measured on a numerical scale.

A bar chart is a useful tool for summarizing nominal data because it displays the frequencies or percentages of each category in a clear and easy-to-understand format. The height of each bar represents the frequency or percentage of observations in each category, and the bars are separated by a space to emphasize that the categories are not ordered. In this case, the bar chart would show the frequencies or percentages of cars manufactured in each country, such as Japan, USA, Germany, etc. A bar chart would not be appropriate for summarizing interval or ratio data because these types of data are measured on a numerical scale and require more sophisticated statistical analyses.

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The angle θ lies in Quadrant I given that cos(θ) > 0 and sin(θ) > 0.

Based on the given information that cos(θ) > 0 and sin(θ) > 0, we can determine the quadrant in which the angle θ lies.

Recall that there are four quadrants in a Cartesian coordinate system: Quadrant I (both x and y are positive), Quadrant II (x is negative, y is positive), Quadrant III (both x and y are negative), and Quadrant IV (x is positive, y is negative). The cosine function, cos(θ), represents the x-coordinate of a point on the unit circle, while the sine function, sin(θ), represents the y-coordinate.

Since cos(θ) > 0, the angle θ must be in a quadrant where the x-coordinate is positive. This means that θ can lie in either Quadrant I or Quadrant IV. Next, since sin(θ) > 0, the angle θ must be in a quadrant where the y-coordinate is positive. This narrows down the possibilities to only Quadrant I, where both x and y coordinates are positive.

Therefore, the angle θ lies in Quadrant I given that cos(θ) > 0 and sin(θ) > 0.

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The Algebraic expression for the final cost of the item using the variable c is 0.7455c

The cost of the item is c

Algebraic expression after discounting the cost by 30%

c - 30%of c

c- 0.3c

0.7c

Now, Algebraic expression after the application of 6.5% of sales tax

0.7c + 6.5%of 0.7c

0.7c +0.065(.7c)

0.7c +0.0455c

0.74.55c

Hence, 0.7455c is the algebraic expression for the final cost of the item using the variable c.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.

We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

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The measure of angle BAC is equal to the measure of angle ABC.

Given: ∠ABD = ∠CAD and ∠BAD = ∠ACD

We need to find: ∠BAC

To solve this, we will use the property that the angles of a triangle add up to 180 degrees. We will start by analyzing triangle ABC.

In triangle ABC, the sum of angles is 180 degrees. So, we have:

∠BAC + ∠ABC + ∠ACB = 180 degrees ...(1)

Now let's analyze triangle ABD. Here, we know that ∠ABD = ∠CAD and ∠BAD = ∠ACD.

In triangle ABD, the sum of angles is 180 degrees. So, we have:

∠BAD + ∠ABD + ∠ADB = 180 degrees ...(2)

Substituting ∠BAD = ∠ACD and ∠ABD = ∠CAD from the given information, equation (2) becomes:

∠ACD + ∠CAD + ∠ADB = 180 degrees ...(3)

Comparing equations (1) and (3), we observe that the sum of the angles in triangle ABC is the same as the sum of the angles in triangle ABD. This suggests that the remaining angles in both triangles, ∠ABC and ∠ACB, must be equal to ∠ADB.

Since ∠ABC = ∠ADB, we can rewrite equation (1) as:

∠BAC + ∠ADB + ∠ACB = 180 degrees ...(4)

Now, substituting ∠ADB with ∠ABC in equation (4), we get:

∠BAC + ∠ABC + ∠ACB = 180 degrees ...(5)

Comparing equations (5) and (1), we see that they are identical. This implies that ∠BAC = ∠ABC.

Therefore, based on the given information and the properties of triangles, we can conclude that ∠BAC = ∠ABC.

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Complete Question:

In the adjoining figure find the measure of ∠BAC if∠ABD=∠CAD and ∠BAD=∠ACD

Answer:

41

Step-by-step explanation:

The formula for solving for sin is opposite side/hypotenuse.

The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).

sin A = 28/53

A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.

A ≈ 41

Hope this helped! <3

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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Answer:

FIRST A TRUE PLEASE MATK A BRAINLIESTS

Answer:

\(\frac{20}{6} =\frac{-10}{-3}\)   the only true statement

Step-by-step explanation:

I hope this help you

The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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the measure of zB is approximately 38.47°.To solve this problem, we can use the basic trigonometric identity that relates the sine and cosine of an angle:

sin² A + cos² A = 1

If we divide both sides by cos² A, we get:

tan² A + 1 = sec² A

Substituting cos/B = sinzA, we get:

tan² zA + 1 = (cos/B)² / (sin² zA)

Simplifying, we get:

tan² zA + 1 = (cos²/B) / (1 - cos² zA)

Substituting mzA = 32° and solving for cos²/B, we get:

cos²/B = sin² zA / (1 - sin² zA) = (sin 32°)² / (1 - (sin 32°)²)

cos²/B ≈ 0.392

Substituting this value into the previous equation and solving for tan zA, we get:

tan² zA + 1 = 0.392 / (1 - 0.392) = 0.647

tan zA ≈ 0.804

Finally, we can use the definition of tangent to find zB:

tan zB = cos/B / sin zA = sin zA / cos zA = tan zA

zB = arctan(tan zA) ≈ 38.47°

Therefore, the measure of zB is approximately 38.47°.

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Answer:

\(\frac{1}{10}\)

Step-by-step explanation:

note that in terms of the given fraction

1 = \(\frac{10}{10}\) , then

\(\frac{9}{10}\) + \(\frac{1}{10}\) = \(\frac{10}{10}\) = 1

Answer:

\( \frac{9}{10} + x = 1 \\ x = 1 - \frac{9}{10} \\ x = \frac{(10 - 9)}{10} \\ \boxed{x = \frac{1}{10} } \: is \: the \: required \: number\)

Answer:

Circumference: 62.83

Step-by-step explanation:

Formula:

2 • π • r

OR

2 • 3.14 • 10

Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!

Answer:

lw

Step-by-step explanation:

The formula to find the area of a rectangle is A = lw

A = Area

l = length

w = width

Answer:

there is not enough information i'm so sorry.

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

a^2=b(b+c)

12^2=8(8+x)

144=64+8x

-64 -64

______

80=8x

x=10

Answer:

yes

Step-by-step explanation:

so first you would convert pounds into ounces (It's easier for me)

and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.

Answer: the answer you chose was correct x+y <1000

                                                                       x=<75

Step-by-step explanation:

first they are selling 3 dollar and 4 doallar items to get above 1000 dollars

then they sayed at least 75 bags of hot chips so it has to be 75 or higher

The probability that Kabita would take 2 red discs from the bags is 3/22.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability that Kabita would take 2 red discs = (number of red discs in bag 1 / total number of discs in bag 1) x  (number of red discs in bag 2 / total number of discs in bag 2)

(3/8) x (4/11) = 3/22

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According to the given graph, the diameter is 16 feet long, which means the radius is 8 feet.

Let's find the volume of the sphere using the proper formula

Answer:

3,000

Step-by-step explanation:

The Z - Score value is 2.58 would be used to estimate a population mean with 99% confidence based upon a sample of size 15.

Z-score:

The Z-score or standard score is obtained by taking the deviation of a value from the mean and dividing by the standard deviation. These are commonly used in z-tests to compute confidence intervals, such as in principal component analysis,when the standard deviation of the population is known. The t-score is used when the population standard deviation is unknown. We have given that,

The confidence level is 99%.

The sample size is 15

With a 99% confidence level, the significance level is given by: α = 1−0.99 = 0.01

This is a two-tailed test and a single tail for the z test. α/2 = 0.01/2 = 0.005

Now, examine the probability 1 − a/2 = 1 − 0.005

= 0.995 in the z-table. We can see that the probability of 0.995 is almost the value of 2.586..

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The number of students who registered for both robotics and app development is 70.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total members = 280

The number of members who registered for the robotics class.

= 75% of 280

= 3/4 x 280

= 3 x 70

= 210

The number of members who registered for the app development class

= 50% of 280

= 1/2 x 280

= 140

We see that,

210 + 140 = 350

But we have 280 members.

So,

The number of students who registered for both robotics and app development.

= 350 - 280

= 70

Thus,

The number of students who registered for both robotics and app development is 70.

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"Downloads" folder. Double-click the downloaded file to start the installation process. Follow the instructions on the screen to complete the installation of the program on your computer.

Follow these instructions to download a piece of software. Locate the official website for the programme you wish to download first. then scan that page for a download button or link.

To begin downloading the file, click the download link or button. Find the downloaded file on your computer after the download is finished. Normally, it is kept in the "Downloads" folder. To begin installing the downloaded file, double click it.

To finish installing the programme on your computer, adhere to the instructions displayed on the screen. Before you start the installation, ensure sure you have the activation or licence key available if the programme does.

Ready! The software programme should now be downloaded and installed on your computer.

Finally, to install the programme on your computer, open the downloaded file and follow the on-screen directions. Always keep cyber security in mind when downloading any programme, and only download from reputable sites!

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The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

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