Find the mass of the solid bounded by the xy-plane, yz-plane, xz-plane, and the plane (x/4) + (y/3) + (z/12) = 1, if the density of the solid is given by delta(x, y, z) = x + 4y.
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Answer:

slope = 1/2

The x-intercept is (8, 0). The y-intercept is (-4, 0).

(2, -3), (4, -2), (6, -1)

y = (1/2)x - 4

Step-by-step explanation:

1)

slope = rise/run

Start at (0, -4) and go to (2, -3).

Start at (0, -4) and go 1 unit up. That is a rise of 1.

Now go 2 units right to arrive at (2, 3). That is a run of 2.

slope = rise/run = 1/2

2)

The line crosses the x-axis at (8, 0).

The x-intercept is (8, 0).

The line crosses the y-axis at (-4, 0).

The y-intercept is (-4, 0).

3)

Here are some points: (2, -3), (4, -2), (6, -1)

4)

y = mx + b

y = (1/2)x - 4

Answer:

Below in bold.

Step-by-step explanation:

The line is rising to the right so it has an increasing slope.

The slope of the line is 4/8 = 1/2.

Reading from the graph the x intercept is (8, 0).

The y-intercept is (0, -4).

The line passes through the points (2, -3) and (6, -1).

The equation of the line is:

y = (1/2)x  - 4.

4 10 + 40 100 is equivalent to 2/5 + 2/5, which simplifies to 4/5.

To find fractions that are equivalent to 4 10 + 40 100, we need to simplify the given fraction to its lowest terms.

First, we can simplify 4 10 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us 2/5.

Next, we can simplify 40 100 by dividing both the numerator and denominator by the greatest common factor, which is 20. This gives us 2/5 as well.

Therefore, 4 10 + 40 100 is equivalent to 2/5 + 2/5, which simplifies to 4/5.

Now, to find fractions that are equivalent to 4/5, we can multiply the numerator and denominator by the same non-zero number.

For option A, 80/100 can be simplified to 4/5 by dividing both the numerator and denominator by 20. Therefore, A is equivalent to 4/5.

For option B, 4/5 is already in its simplest form, so B is equivalent to 4/5.

For option C, 20/100 can be simplified to 1/5 by dividing both the numerator and denominator by 20. Therefore, C is not equivalent to 4/5.

For option D, 8/10 can be simplified to 4/5 by dividing both the numerator and denominator by 2. Therefore, D is equivalent to 4/5.

In summary, options A, B, and D are equivalent to 4 10 + 40 100, while option C is not.

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Answer:

x= 131

y = 49

Step-by-step explanation:

X and 49 form a straight line so they add to 180

x+49 = 180

x = 180-49

x =131

49 and y are alternate interior angles and alternate interior angles have the same value

y = 49

Step-by-step explanation:

please mark me as brainlest

Answer:

8(4+2)

Step-by-step explanation:

Hi there! We know that 32+16=48 so all we have to do is find a expression that equals 48. 8(4+2)=48. 8(24+8)=256. 7(4+2)=42. 7(24+8)=224. Therefore, the expression that is equivalent to 32+16 is 8(4+2).

Answer:

24+24

Step-by-step explanation:

Okay, here we have this:

Considering the provided function, we are going to calculate the requested one-side limits, so we obtain the following:

Answer:

13,160

Step-by-step explanation:

\(si \: = \frac{pnr}{100} \)

P = principle amount

n = no.of years

r = rate(%)

\( = \frac{5600 \times 45 \times 3}{100} \)

= 56 × 45× 3

= 7560

The final answer is 5600 + 7560 = 13160

pls like and mark as brainliest if it helped!

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

1. To convert -21 to 2's complement binary using 6 bits:

- First, convert the absolute value of the number (21) to binary: 10101.

- Then, invert all the bits: 01010.

- Finally, add 1 to the inverted value: 01011.

So, the 6-bit 2's complement binary representation of -21 is 01011.

2. To represent -4 in excess-16 using 5 bits:

- Add the excess value (16) to the absolute value of the number (4): 20.

- Convert 20 to binary: 10100.

So, the 5-bit excess-16 representation of -4 is 10100.

3. To represent -26 in sign-magnitude using 6 bits:

- Convert the absolute value of the number (26) to binary: 11010.

- Set the leftmost bit as the sign bit (1 for negative).

- So, the 6-bit sign-magnitude representation of -26 is 111010.

4. To convert the 6-bit excess-26 binary number (101101) to decimal:

- Subtract the excess value (26) from the binary value: 101101 - 26 = 101075.

- The resulting decimal value is 75.

So, the decimal equivalent of the 6-bit excess-26 binary number 101101 is 75.

5. In IEEE-754 floating-point representation, the exponent is expressed in binary, excess-k. The value of k is determined by the number of bits used for the exponent. Since 7 bits are used for the exponent in this case, the value of k would be 2^(7-1) - 1 = 63. So, an appropriate value for k is 63.

6. In IEEE-754 floating-point representation, the largest positive value that can be represented depends on the number of bits used for the exponent and the fractional mantissa.

Since 3 bits are used for the fractional mantissa and 4 bits are used for the exponent in this case, the largest positive value that can be represented is determined by the maximum exponent value of 2^(4-1) - 1 = 7. Therefore, the largest positive value that can be represented is 2^7 = 128 in decimal (base 10).

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The total number of oranges in the basket is 95.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Of a basket of oranges,

20% of them are defective and 76 are in good condition.

Let x be the total number of oranges.

That means 80% = 76 oranges are in good condition.

20% in decimal form is 0.2.

Applying the percentage formula,

(1 - 0.2)x = 76

0.8x = 76

x = 95

And 20% of 95 = 19

Therefore, the total = 95.

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Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is \(\dfrac{264}{7}\ L\)

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is \(\dfrac{157}{14}\ L\)

Oil in second tanker is \(\dfrac{87}{7}\ L\)

Oil in first and second tanker is :

\(\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L\)

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

\(=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L\)

Hence, this is the required solution.

Answer:

I cant answer everything but I know that there are 8 cups in a liter

Step-by-step explanation:

Answer:

B,D

Step-by-step explanation:

The elastic constitutive law (1.71) expresses the relation between stress (σ), strain (ε), and the elastic stiffness tensor (C) as follows:

σ = C * ε

To express this relation in terms of the complex strains (e, e) and the fourth-order elasticity tensor (O, D), we need to substitute the complex strains into the strain tensor (ε) and express the stress tensor (σ) in terms of the complex strains.

The strain tensor (ε) can be expressed as:

ε = [err ezy]

[ezy eyy]

Substituting the complex strains (e, e) into the strain tensor, we have:

ε = [e e]

[e e]

The stress tensor (σ) can be expressed in terms of the complex strains and the fourth-order elasticity tensor as:

σ = O * ε + D * ε * ε

Substituting the complex strains into the stress tensor, we get:

σ = O * [e e] + D * [e e] * [e e]

Simplifying this expression will depend on the specific values of the elasticity tensor (O, D) provided in equation (1.71) and the matrix multiplication rules for the complex strains and elasticity tensor.

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From the given information, a tree diagram can be constructed to represent the possible outcomes of Jack and John selecting a ball at random from the bag. Using the tree diagram, we can determine the probability of John choosing a white ball to be 11/20.

The first step is to construct the tree diagram for the given scenario. The diagram will have two levels, with the first level representing Jack's selection and the second level representing John's selection. The branches will be labeled with the corresponding probabilities for each event.

The diagram will have four branches at the first level: white ball with probability 6/10, and orange ball with probability 4/10. From the white ball branch, there will be two branches at the second level: white ball with probability 5/9 and orange ball with probability 4/9.

From the orange ball branch, there will be two branches at the second level: white ball with probability 6/9 and orange ball with probability 3/9.

Now, to find the probability that John chooses a white ball, we need to consider the two possible outcomes where John selects a white ball, which are white-white and orange-white. The probabilities of these outcomes are: (6/10) * (5/9) = 1/3 and (4/10) * (6/9) = 4/15, respectively.

Therefore, the total probability of John choosing a white ball is 1/3 + 4/15 = 11/20.

Hence, the probability of John choosing a white ball is 11/20.

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In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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Answer:

Thus, the value of x in the given triangle is 55°

Step-by-step explanation:

Given - Dimensions of triangle and angles

of triangle

Find - Value of x

Solution - The value of x in the given triangle is 55°.

As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.

Thus, the mathematical expression of all the angles of a given triangle will be -

x + x + 80 = 190

2x + 80 = 190

2x = 190 - 80

2x = 110

x = 110/2

x = 55°

.

Answer:

the answer for the question is -129/500

Answer:

4.

Step-by-step explanation:

There are 18 squares, if you want to shade 2/9 you have to make the denominator, which is 9 into 18, so you multiply by 2, you will do the same thing to the numerator, 2x2=4 9x2=18.

Brainiest would be appreciated.

There are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have to determine the number of squares that would have to be shaded so that 2/9 of the shape is shaded

According to the given figure,

There are 3 rows and 6 columns of squares

So the number of squares would be 3 × 6 = 18

There are 18 squares, therefore if you want to shade 2/9, you must first divide the denominator, which is 9 into 18, by 2, and then multiply by 2.

If 2/9 of the shape is shaded: 18 × 2/9 ⇒ 36/9 = 4

Hence, there are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.

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Answer:

Step-by-step explanation:

The correct answer is: 4x4 + 8x2y2 – 3x3y – 7xy3. This is the standard form for the polynomial, where the terms are written in descending order. The terms in this polynomial are the 4x4 term, the 8x2y2 term, the -3x3y term, and the -7xy3 term.

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Answer:

1/2

Step-by-step explanation:

- find the least common denominatir for the two. (12)

-multiply 4 and 3

-multiply 6 and 2

- Add 1 and 5

-Keep the denominator.

-simplify if needed

Answer:

Step-by-step explanation:

answer 1 1/12 hours

Answer:

20 oatmeal cookies

Step-by-step explanation:

4/5 of 25 is 20

If you are working on proportions, you can do 4/5=x/25

Answer:

24

Step-by-step explanation:

30 cookies, 4/5 are oatmeal

Multiply fractions straight across the equation, numerator times numerator and denominator times denominator.

30/1 x 4/5 = 120/5

Reduce 120/5 by dividing denominator and numerator by 5

120 / 5 = 24/1 = 24 cookies were oatmeal.

OR

30/5 = 6 = 1/5 of 30

4 x 6 = 24 cookies were oatmeal

Hardly worth heating the oven and getting all the pans dirty for such a small batch

To determine whether the sequence converges or diverges, we can use the Squeeze Theorem.

We can see that

\(4/(n + 5n^2) < = An < = (4 + 3n^2)/(n + 5n^2)\)

As n tends to infinity, \(4/(n + 5n^2)\)  tends to 0 and\((4 + 3n^2)/(n + 5n^2)\)  tends to\(4/(5n^2)\)  which also tends to 0.

So by the Squeeze Theorem, we can say that An tends to 0 as n tends to infinity. Hence the limit of the sequence is Lim n-> An = 0

We can also see that the numerator of An is a constant and the denominator is a polynomial with degree 2. Since the denominator's degree is greater than the numerator, the limit will be zero as n -> infinity.

Therefore, the sequence converges to 0.

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Answer:

Far left and far right.

Step-by-step explanation:

please brainliest

Answer:

The two on the outer edges so the ones on the other sides of the middle one.

Step-by-step explanation:

a. The nearest integer estimate of \(\sqrt{685}\) is 27, and b. Nearest tenth estimate of\(\sqrt{685}\) is 26.2.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

a. Nearest integer:

To estimate \($\sqrt{685}$\) to the nearest integer, we can find the two perfect squares that 685 lies between, which are 576 (the square of 24) and 729 (the square of 27). Since 685 is closer to 729 than to 576, we can estimate \($\sqrt{685}$\)to be 27.

b. Nearest tenth:

To estimate \($\sqrt{685}$\) to the nearest tenth, we can use a calculator or long division method to get an approximate decimal value of\($\sqrt{685}$\), which is about 26.1916017074. Rounding this to the nearest tenth gives us an estimate of \($\sqrt{685}$\)to be 26.2.

Therefore,a. The nearest integer estimate of\(\sqrt{685}\) is 27, and b. Nearest tenth estimate of \(\sqrt{685}\) is 26.2.

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If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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The probability of at least one is a Samsung in the purchase collection of two independent LED HDTV is equal to 0.376.

Percent of all LED display manufactured by Samsung = 21%

Probability that at least one purchase is Samsung

= 1 - Probability that both purchases are not Samsung

Probability that the first purchase is not Samsung is 1 - 0.21 = 0.79.

The probability that the second purchase is also not Samsung is also 0.79.

Since the purchases are independent,

Multiply these probabilities to get the probability that both purchases are not Samsung,

P(neither is Samsung)

= 0.79 x 0.79

= 0.6241

The probability that at least one purchase is Samsung is,

P(at least one is Samsung)

= 1 - P(neither is Samsung)

= 1 - 0.6241

= 0.3759

Rounding to 3 decimal places, we get,

P(at least one is Samsung) = 0.376

Therefore, the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung is 0.376.

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Answer:

12 .

Step-by-step explanation:

12

Answer:

168.43524

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1

2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524