The length of each side of a cube is increased by a factor of 4. What is the effect on the volume of the cube?

Answers

Answer 1
Answer:

Answer:

When dealing with VOLUME, an increase in a linear quantity, produces a third power result in the volume.

Increase the sides of a cube by 2 produces an 8 times effect in the volume.

Increasing each side of a cube by 4 produces a chnage of 4 * 4 * 4 or

64 times in the volume.

Step-by-step explanation:



Related Questions

According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean of 98.28degreesF and a standard deviation of 0.63degreesF. Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 2 standard deviations of the​ mean? What are the minimum and maximum possible body temperatures that are within 2 standard deviations of the​ mean? At least nothing​% of healthy adults have body temperatures within 2 standard deviations of 98.28degreesF.
According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest. A random sample of 154 executive officers from these companies was selected. What is the probability that more than 20% of this sample is comprised of female employees?
I know the answer is 36 but I need to know the working out and I am unsure how to work the question out.Plz explain Thanks in advance!! :)
Kareem says that the ratio 4 : 1 is equivalent to the ratio 12 : 9 because 4 1 8 5 12 and 1 1 8 5 9. Is Kareem correct? Explain how you know.
I have a 1.5% chance of winning when spinning a roulette. Approximately how many times would I have to spin the roulette to win?

I just need number 1

Answers

b is the awnser

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.

A television is 28.5 inches wide and 16 inches long.Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?

Answers

Answer:

  33 in

Step-by-step explanation:

The Pythagorean theorem tells you ...

  diagonal² = length² +width²

  diagonal² = (16 in)² +(28.5 in)² = 1068.25 in²

  diagonal = √(1068.25 in²) ≈ 32.684 in

The diagonal of the television is about 33 inches.

Kyle has 64 baseball cards and must give away 1/4 of his figures away. How many cards will Kyle give away? What fractions of his cards does he have left?

Answers

kyle regalara 16 figuras y le quedara 3/4 de ellas

Can anyone help me plzzzzz

Answers

Step-by-step explanation:

cmon man its a blank screen

Problem 8-19 Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands) for Jefferson Community College for the nine most recent years. Click on the datafile logo to reference the data. Year Period (t) Enrollment (1,000s) 1 1 6.5 2 2 8.1 3 3 8.4 4 4 10.2 5 5 12.5 6 6 13.3 7 7 13.7 8 8 17.2 9 9 18.1 Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.If required, round your answers to two decimal places.
y-intercept, b0 = 4.7.17
Slope, b1 = 1.46
MSE = ???????? NEED THIS
What is the forecast for year 10? 19.283
Round your interim computations and final answer to two decimal places.

Answers

Answer:

a) find the attached graph

b) find the attachment no 4 and 5

c)T_(10)= 4.72+1.46(10) = 19.28

Step-by-step explanation:

a) A trend pattern exist if the time series plot gradually shifts to higher or lower values over a long period of time

find the attached graph

b) Liner Trend Equation

T_(1) =b_(0) +b_(1)t

Where T_(1) is the linear trend forecast in period t , b_(0) is the intercept of the linear trend time, b_(1) is the slope of the linear trend line, t is the time period

now computing the slope and intercept

formula is attached ( 3 no attachment)

Y_(t)is the value of the time series in period t, n is the number of time periods

Y(bar) is the average value and t(bar) is the average value of t

due to unavailability of equation in math-script i attached the calculation part of this question( 4th and 5th no attachment)

thus the linear trend equation is T_(t)= 4.72+1.46t                         (1)

T_(10)= 4.72+1.46(10) = 19.28

Final answer:

To find the Mean Squared Error (MSE), you can calculate the difference between the actual and predicted values, square these differences, and find their average. To forecast for a specific year, you can insert the year as the 'x' value into the simple linear regression equation.

Explanation:

The question is asking for the Mean Squared Error (MSE) for a simple linear regression model based on the enrollment data of Jefferson Community College. This involves using the y-intercept (b0) and slope (b1) values provided, and the given data points. You can calculate the MSE by taking the difference between the actual and predicted values (errors), squaring these differences, and then finding the average of these squared differences for the entire dataset.

Then, to forecast for year 10, you use the simple linear regression model equation, y = b0 + b1*x, where y represents the predicted enrollment. So, for year 10, you would insert 10 as your 'x' value into the equation, which results in the forecast value provided which is 19.283.

Learn more about Simple Linear Regression here:

brainly.com/question/33168340

#SPJ12

Please help me thank you

Answers

Uhm I’m not sure, haven’t did fraction math in a long time