For the function z = 4x³ + 5y² - 8xy, find 88 11 正一 || ²(-1₁-3)= (Simplify your answer.) z(-1,-3) = ду (Simplify your answer.) əz əz 7 axay d (-1, -3), and 2(-1,-3).

Answer:

96

Step-by-step explanation:

It should 96! :)

I used the calculator on g o o g l e

Answer:

No

Step-by-step explanation:

They are similar

Answer:

Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol

Step-by-step explanation:

Answer:

The material will be used for 24 days.

Step-by-step explanation:

Given that:

Materials made in a month = 240 tonnes

More materials to be made = 60 tonnes

Total material to be made = 240+60 = 300 tonnes

Days in a month = 30 days

Materials : Days

240 : 30

300 : x

As the production is increasing, the material will be used before 30 days.

This is an inverse proportion.

\(\frac{240}{300}=\frac{x}{30}\)

Using cross multiplication;

300*x = 240*30

300x = 7200

Dividing both sides by 300

\(\frac{300x}{300}=\frac{7200}{300}\\x=24\)

Hence,

The material will be used for 24 days.

The solution of x^2 + 10x+ 25 = 8 is x = ± 2√2 - 5.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

the given equation is,

x^2 + 10x+ 25 = 8

⇒ x^2+ 2.x.5 + 5^2 = 8

⇒ (x+5)^2 = 8   [ by taking square root both side]

⇒ x+5 =± 2√2

⇒ x = ± 2√2 - 5

Hence, The solution of x^2 + 10x+ 25 = 8 is x = ± 2√2 - 5.

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Answer:

The numbers are 11 and 49.

Step-by-step explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49

Answer:

18

Step-by-step explanation:

Find the least common multiple of 6 and 9. We see that the numbers 18 and 36 are both common multiples of 6 and 9. The least common multiple is the smallest which is 18.

Answer:

6(x-2)

Step-by-step explanation:

because x and 2 are taken as common by us

Answer:

8 inches

Step-by-step explanation:

A shipping company has 3 different sized cubed boxes.

The volume of the boxes are 216in³,512in³,and 1000in³

We find the height of each volume of box.

a) 216in³,

Volume = h³

Height = cube root (216)

= 6 in

b) 512in³

= Volume = h³

Height = cube root (512)

= 8 in

c) 1000in³

Volume = h³

Height = cube root (1000)

= 10 in

Since: Mia needs to ship a gift with a height of 7 in .

Therefore: the height in inches of the smallest box that Mia can use is 8 inches (8 in)

Answer:

9°C

Step-by-step explanation:

Total temperature= mean * number of days

Total for 4 days=4°C * 4days=16°C

Total for 5 days=5°C * 5days=25°C

Temperature for 5th day =25-16

=9°C

Answer:

97 degrees

Step-by-step explanation:

Angle d and the angle to the right of angle c are alternate interior angles. This means that these angles are congruent. The angle next to angle c is equal to 180-83 degrees, which is the same as 97 degrees. So, angle d has a value equivalent to 97 degrees.

hope this helps and I hope you submit it in time!

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Therefore, the diameter of the sphere is approximately 20.2 feet when the volume is 6329 cubic feet.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. To find the diameter, we need to find the radius first.

(4/3)πr³ = 632

r³ = (3/4)(6329/π)

r = ∛(3(6329/4π))

r ≈ 10.1 feet (rounded to one decimal place)

The diameter of the sphere is twice the radius, so:

d = 2r

≈ 20.2 feet (rounded to one decimal place)

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Answer:

18r

Step-by-step explanation:

since they both have r as their variable, they're like terms, meaning you can combine them

so 13+5 = 18

Answer:

d. Jordan needs 1 and one-half cups of diced chicken for 3 salads

Step-by-step explanation:

cups of chicken are shown on the y axis, number of salads is shown on the x axes. For 3 salads you need 1.5 cups of chicken.

Answer:

the answer i d

Step-by-step explanation:

Answer:3/2

Step-by-step explanation: 3+3/4

6/4=3/2

Answer:

1.5

Step-by-step explanation:

3+3=6

6/4 =1.5

Answer: 36

Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540

Answer:

36 Crew members

Step-by-step explanation:

Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.

Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.

1/15=0.06666666667...

36/540=0.06666666667...

There's probably other ways to solve this, this is just how I did it.

The value of y can be determined as,

Thus, the required value of y is 3900.

Table: To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

Graph: On a linear graph, the unit rate is obtained by calculating the slope of the line.

I do not know about the curve in the graph.

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

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The slope intercept form for the given situation is y = 2.5x+22, where x is number of weeks and y is total cost she saves.

The slope intercept of an equation refers to the equation in the form y = mx + c, where m is the slope that gives the rate of change and c is the y intercept, which is constant.

Given that, Emma started with some money from her birthday and then saved the same amount from her allowance each week. After 4 weeks of saving, Emma had $32. After 8 weeks of saving she has $42.

We are asked to find the slope intercept form for the given situation,

Let she have $c with her and a be the amount she saves every week.

We have,

4a+c = 32

8a+c = 42

Subtracting the equations,

4a = 10

a = 2.5

That means, she saves $2.5 every week.

Now finding the value of c,

4(2.5)+c = 32

c = 32-10

c = 22

Therefore, she already has $22 with her.

Now, establishing the slope intercept form,

y = 2.5x+22

Where, y is the total cost she saves, x is the number of weeks

Hence,  the slope intercept form is  y = 2.5x+22, Where, y is the total cost she saves, x is the number of weeks.

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If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.

Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.

The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.

Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.

In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.

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Complete Question:

1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

19.4285714286 Step-by-step explanation: 272 divided by 14 can be calculated as follows. 272/14 math problems division

Answer:

y= -2

x= 0

Explanation

0 - 2 = -2

-2 - (-2) = 0

Answer:

I believe the answer you're looking for is 2

Step-by-step explanation:

A percentile is a measure of rank or location because it represents the relative position of a particular value within a dataset or distribution. It indicates the percentage of data points that fall below or equal to a given value.

To understand percentiles, imagine a dataset arranged in ascending order. The nth percentile is the value below which n% of the data falls. For example, if a student scores in the 75th percentile on a test, it means they performed better than 75% of the other students in the dataset.

Percentiles provide information about the distribution of data and help in comparing individual values to the overall dataset. They allow us to determine how a particular data point ranks in comparison to others, giving us a sense of its relative position within the distribution. Percentiles are commonly used in various fields, such as statistics, education, finance, and healthcare, to analyze and interpret data, identify outliers, assess performance, and make informed decisions based on relative rankings.

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Based on the eigenvalues and the summary of importance, we find that two principal components are enough to summarize the data. These components capture a substantial proportion of the variance and adequately represent the underlying patterns in the dataset.

In the given output, we have the eigenvalues: 6.93107360, 1.78514434, 0.38964992, 0.22952892, and 0.01415498. The eigenvalues represent the amount of variance explained by each principal component. The larger the eigenvalue, the more significant the component.

Additionally, the summary of importance provides the standard deviation, proportion of variance, and cumulative proportion for each principal component.

From the summary, we can see that the first component (Comp. I) has a standard deviation of 2.5369267 and accounts for 74.13% of the variance. The second component (Comp. 2) has a standard deviation of 0.7413268 and explains an additional 19.09% of the variance. The cumulative proportion shows that the first two components together explain 93.23% of the variance.

Based on this information, we can conclude that the first two principal components are sufficient to summarize the data. They capture a significant amount of the total variance (93.23%) and provide a good representation of the underlying patterns in the dataset.

Including additional components would explain a diminishing amount of variance. Therefore, using the first two principal components is a reasonable choice for summarizing the data effectively.

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Answer:

distribute the 2 to the 3 and 4 so you get 6+8  which is 14

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Answer:

10=x

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

9514 1404 393

Answer:

  (b) signs of the infinities are opposite

Step-by-step explanation:

The graph shows a trend toward +∞ as x gets more negative, and toward -∞ as x gets more positive. That is, the sign of the end behavior of y is opposite that of x. This is expressed by the second choice.

The answer to the indices is 1/16. Option C

You should understand that in mathematics and computer programming, index notation is used to specify the elements of an array of numbers. The formalism of how indices are used varies according to the subject, depending on whether one is writing a formal mathematical paper for publication, or when one is writing a computer program

The given question is

[(1/4)⁷ ÷ (1/4)⁶]⁷

⇒[ 1/16384 ÷ 1/4096]²

Simplifying this to have

1/16384 * 4096/1

This implies 4096/16384

⇒ 0.25

Converting this to a fraction we divide by 100 to have

0.25/100 = 25/100

Dividing by 25 to have [1/4]²

Therefore the answer is 1/16

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