Let u(t) = 2t³i + (t²-1)j-8k. Compute the derivative of the following function. (+19+21) u(t) Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The derivative is the scalar function OB. The derivative is the vector-valued function i+ Di+ k

Answer:

\(54.5 \: ft^2 \)

Step-by-step explanation:

Area of the figure = Area of rectangle + Area of both triangles

\(= 11\times 4 +\frac{1}{2} \times 3 \times 4 +\frac{1}{2} \times 3 \times 3\\=44 + 3\times 2+ 3\times 1.5\\= 44 + 6 + 4.5\\=54.5 \: ft^2\)

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

Learn more about  volume from

https://brainly.com/question/27710307

#SPJ11

Answer:

1,1

Step-by-step explanation:

See steps below:) I could only show half of the steps. but you can use the app photo math. It will show you all the steps.

Answer:

Step-by-step explanation:

13). ( x - 2 )( x + 6 ) = 9 × 20

x² + 4x - 12 = 180

x² + 4x - 192 = 0

( x - 12 )( x + 16 ) = 0

\(x_{1}\) = - 16

\(x_{2}\) = 12

14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )

( x + 4 )( 4x + 4 ) = 216

4( x + 4 )( x + 1 ) = 216

( x + 4 )( x + 1 ) = 54

x² + 5x + 4 - 54 = 0

x² + 5x - 50 = 0

( x - 5 )( x + 10 ) = 0

\(x_{1}\) = - 10

\(x_{2}\) = 5

15). x( x + 16 ) = 15²

x² + 16x - 225 = 0

( x - 9 )( x + 25 ) = 0

\(x_{1}\) = - 25

\(x_{2}\) = 9

16). Now is your turn. You can do it!

The measurements are given in the solution below.

Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.

Given that the circles we need to find the given missing values,

Using the properties of the circles,

1) (x-2) (x+6) = 20 × 9

x² + 6x - 2x - 12 = 180

x² + 4x - 192 = 0

x = 12 or x = -16.

2) 8 × (8+19) = x+4 (x+4 + 3x)

216 = x + 4 × (4x + 4)

216 = 4x² + 4x + 16x + 16

4x² + 20x - 200 = 0

x² + 5x - 50 = 0

x = 5 or x = -10

3) 15² = 16x

x = 225/16

x = 14.06
4) (x+7)² = 18 × 14

x² + 49 + 14x = 252

x² + 14x - 203 = 0

x = 8.87

x = -22.87

Learn more about circles click;

https://brainly.com/question/29142813

#SPJ2

The mean for the first set of numbers is 4. The mean for the second set of numbers is 4. The mean for the third set of numbers is 5. The mean for the fourth set of numbers is 4.11.

To calculate the mean, we sum up all the numbers in the set and divide the sum by the total count of numbers.

For the first set of numbers (5, 5, 5, 4, 4, 2, 2), the sum is 27. There are 7 numbers in the set, so the mean is 27/7 = 4.

For the second set of numbers (7, 5, 1, 2, 8, 3, 3), the sum is 29. There are 7 numbers in the set, so the mean is 29/7 = 4.

For the third set of numbers (8, 4, 2, 8, 7), the sum is 29. There are 5 numbers in the set, so the mean is 29/5 = 5.

For the fourth set of numbers (3, 3, 7, 6, 3, 3, 3, 5, 4), the sum is 37. There are 9 numbers in the set, so the mean is 37/9 = 4.11 (rounded to two decimal places).

Therefore, the mean for the respective sets of numbers are 4, 4, 5, and 4.11.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.

In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.

Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.

In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

To know more about qualitative research visit:

brainly.com/question/31868761

#SPJ11

Answer:

The most common interval is 10 to 14.99 $ with 11 items

Step-by-step explanation:

See attached for details.

$10.00-$14.99 is the most common interval of dinner prices.

To find the most common interval of dinner prices,

Organize the data into the specified intervals and then count the occurrences in each interval.

Here are the intervals:

1. $5.00-$9.99

2. $10.00-$14.99

3. $15.00-$19.99

4. $20.00-$24.99

5. $25 and up

Now, let's categorize the dinner prices from the given list into these intervals:

1. $7.50, $7.98, $6.50, $8.25, $8.75, $9.00, $9.99 (7 prices)

2. $10.00, $12.00, $12.98, $12.99, $11.50, $13.50, $11.25, $13.00, $12.50 (9 prices)

3. $14.00, $14.75, $15.00, $17.49, $16.00, $17.99 (6 prices)

4. $21.00, $20.00, $22.00 (3 prices)

5. $26.00, $28.50, $25 and up (3 prices)

Now, let's see which interval has the highest number of prices.

It appears that the second interval, $10.00-$14.99, has the most prices (9 prices), making it the most common interval of dinner prices.

Hence, $10.00-$14.99 is the most common interval of dinner prices.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ7

Answer: Their car got an average of 23.6 miles per gallon.

BTW I just searched it up so I'm sorry if it is wrong.

12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Answer:

The area of the garden is \(2356\ ft^2\)

Step-by-step explanation:

Area of a Square

Given a square of a side length of x, the area is calculated as:

\(A = x^2\)

There is a square garden area of a side length of x=50 feet. The area is:

\(A_1=50^2=2500\ ft^2\)

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

\(A_2=12^2=144\ ft^2\)

The area of the garden is the difference between A2 and A1:

\(A_g=A_2-A_1=2500\ ft^2-144\ ft^2\)

\(A_g=2356\ ft^2\)

since one is 45° so is the other so two sides are the same. n=6

\( {m}^{2} = {6}^{2} + {6}^{2} \\ m = \sqrt{36 + 36 } = \sqrt{72} \)

m= 6√2

Answer:

X = 6.

7 + X - 2 = 11

(9 + x) x 3 = 45

Answer:

I hope this is right - y= 17x/7

Step-by-step explanation:

There are three significant zeros in 0.04008 m.

To determine the number of significant zeros in 0.04008 m, we need to identify the zeros that are considered significant.

In a number, zeros are considered significant if they are:

Between nonzero digits (sandwiched zeros): These zeros are always significant.

At the end of a decimal number after the last nonzero digit: These zeros are significant only if they are after the decimal point.

Let's analyze the number 0.04008 m:

There are three zeros in this number:

The zero between 4 and 8 (sandwiched zero): This zero is significant.

The zero after the decimal point (trailing zero): This zero is significant since it is after the decimal point.

The zero at the end of the number (trailing zero): This zero is also significant since it follows a nonzero digit (8).

Therefore, there are three significant zeros in 0.04008 m.

for such more question on decimal number

https://brainly.com/question/3554545

#SPJ8

Yes, snow and "cold" weather are independent events. The probability of snow and a "cold" day is 15.

Based on the given probabilities, we can determine if snow and "cold" weather are independent events. Independent events occur when the probability of both events happening together is equal to the product of their individual probabilities.

P(snow) = 0.30
P(cold) = 0.50
P(snow and cold) = 0.15

If snow and cold are independent, then P(snow and cold) = P(snow) * P(cold).

0.15 = 0.30 * 0.50
0.15 = 0.15

Since both sides of the equation are equal, snow and "cold" weather are independent events.

Your answer: b. yes

To learn more about independent events, click here:

brainly.com/question/30905572

#SPJ11

Answer:

11......................

Volume = (1/3) . π . r² . h

475.17 = (1/3) . π . r² . 15

475.17 = 5πr²

r² = 475.17/5π

r² = 30.25

r = √30.25 = 5.5

Diameter = 2r = 2 × 5.5 = 11 yd

The final answer is approximately 0.0228, rounded to four decimal places.

To solve this problem, we need to use the concept of the normal distribution and the standard deviation of the number of chocolate chips in each cookie.

Assuming that the number of chocolate chips in each cookie follows a normal distribution, we can use the mean of 8 chips per cookie to calculate the standard deviation.

Let's say the standard deviation is σ.

To find the probability of getting a cookie with at least 4 chips, we need to calculate the z-score for 4 chips and then use a standard normal distribution table (or a calculator) to find the corresponding probability.

The z-score is calculated as:

z = (4 - 8) / σ

To find the probability of getting a cookie with at least 4 chips, we need to find the area under the normal distribution curve to the left of the z-score, which is the same as finding the area to the right of the z-score.

This can be done using a standard normal distribution table or a calculator.

For example, using a standard normal distribution table, we can look up the probability of getting a z-score of -2.0 (since z = (4 - 8) / σ is equivalent to σ = (8 - 4) / z) and find that the probability is 0.0228.

Therefore, the probability of getting a cookie with at least 4 chips is approximately 0.0228, rounded to four decimal places.

Note that the actual probability would depend on the value of the standard deviation σ, which is not given in the problem.

Learn more about normal distribution

brainly.com/question/29509087

#SPJ11

Answer:

The purple one since non of the other are fractions

Step-by-step explanation: Hope this helps

Answer:

2

Step-by-step explanation:

2nd one is does not belong because there is no combination of constant and variable where as left equation have combination of constant and variable .

The part of the plane 2x + 5y + z = 10 that lies inside the cylinder x2 + y2 = 9 is a half cylinder with a radius of 3 and height of 6. The area of this half cylinder is 9√30π.

The equation of the plane can be rewritten as z = 10 - 2x - 5y.

The equation of the cylinder can be rewritten as x2 + y2 = 9.

To find the part of the plane that lies inside the cylinder, we need to solve the system of equations z = 10 - 2x - 5y and x2 + y2 = 9.

Solving this system of equations, we find that the part of the plane that lies inside the cylinder is the set of all points (x, y, z) such that 0 ≤ x ≤ 3, 0 ≤ y ≤ 3, and 10 - 2x - 5y ≥ 0.

The area of this half cylinder can be found using the formula for the area of a cylinder:

A = 2πr²h

where r is the radius of the cylinder and h is the height of the cylinder. In this case, r = 3 and h = 6, so the area of the half-cylinder is

A = 2π(3²)(6) = 9√30π

To learn more about system of equations click here: brainly.com/question/20067450

#SPJ11

Answer:

95 Degrees Celsius

Answer: It should be 470 cm^2

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

\(\sqrt{256}\) = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

Answer:

3,600−−−−−√ is a rational number.I guess

Answer:

B, C, E It is Rational, Perfect square(60*60) and an whole number

Answer:

Below

Step-by-step explanation:

the last equation shows frequency of 5 for  greater than this mass

  the equation before it covers 20 to 30 kg   frequency 11

      so it could be ZERO   or it could be ELEVEN are above 26 kg ....you just cannot tell ....so the MINIMUM frequency would be  5 + ZERO = 5

              and the MAXIMUM would be 5 + ELEVEN = 16

Answer:

The equation of line in point slope form is: \(\mathbf{y+5=-\frac{2}{3} (x-4)}\)

Option A is correct option.

Step-by-step explanation:

We need to identify an equation in point-slope form the line parallel to y=-2/3x+8 that passes through(4, -5).

The general equation of point slope form is: \(y-y_1=m(x-x_1)\)

where m is slope of the equation.

Finding slope of the equation.

Since the two lines are parallel so, both lines have same slope.

Equation of given line: y=-2/3x + 8

This equation is in slope-intercept form, comparing with general equation \(y=mx+b\) where m is slope , we get the value of m= -2/3

So, slope of given line = m = -2/3

Slope of required line = m =-2/3

Now, writing equation in point-slope form:

We are given point (4,-5) so, we have \(x_1=4, y_1=-5\) and slope is: m=-2/3

So, equation of line in point-slope form is:

\(y-y_1=m(x-x_1)\\y-(-5)=-\frac{2}{3}(x-4)\\y+5=-\frac{2}{3}(x-4)\)

So, the equation of line in point slope form is: \(\mathbf{y+5=-\frac{2}{3} (x-4)}\)

Option A is correct option.

Answer:

The answer is A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

All you have to do is simplify all of them and put them in order from least to greatest.

Answer:

It is A

Step-by-step explanation:

The negative are suppose to be first s it is A

The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

To learn more about curves, click on the below link:

https://brainly.com/question/29432628

#SPJ1

The expression log₆5+log₆x as a single logarithm is log₆5x.

The logarithm is exponent's inverse function in mathematics. This indicates that the exponent to which a fixed number(say a) at base b, must be raised in order to create a  number x, is represented by the logarithm of that number.

For example if 8=2³ can be written in the logarithmic form as

log₂8=3.

The general properties of logarithm for a fixed base are:

Here the given logarithmic expression is (log₆5+log₆x)

So according to the properties of logarithms we can use the above property "logₐx+logₐy=logₐxy" to simplify the given expression.

Therefore:

log₆5+log₆x

=log₆(5×x)

=log₆5x

Hence written as a single logarithm the expression is log₆5x.

To learn more about logarithm visit:

https://brainly.com/question/20785664

#SPJ4