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3 years ago

An ice tray holds 12 ice cubes. If the total volume of the ice in the

Mathematics

2 answers:

umka21 [38]3 years ago

7 0

Answer:

24 ice sufaces

Step-by-step explanation:

AVprozaik [17]3 years ago

3 0

Answer:

the cubes are 1 in on all sides

but...

since there's gaps its more likely that there a 1/2 in or 3/4 in

Step-by-step explanation:

12/12=1

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A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line

77julia77 [94]

Answer:

B) The sum of the squared residuals

Step-by-step explanation:

Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).

Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.

Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.

Therefore, option B gives the correct answer.

5 0

3 years ago

Read 2 more answers

43.77 as a mixed number in simplest form

valina [46]

First you have to take the whole number (43) and then take the decimal and put it over 100 (77/100).

5 0

3 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

$F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)$ (1)

Next, you derive the last equation respect to t:

$\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)$

however, the last derivative must be equal to M. From there you can calculate g(t):

$\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]$

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

where C is the constant of integration

8 0

3 years ago

Need help with question a

SVEN [57.7K]

Answer:

1.8 cm

6.3 cm²

Step-by-step explanation:

AC⊥BC

BD=BC=x

(x+5)²+x²=7²
x²+10x+25+x²=49
2x²+10x- 24=0
x²+5x-12=0
x=1.8

BC= 1.8 cm

Area of ABC= 1/2*1.8*7= 6.3 cm²

4 0

3 years ago

If the interior angles of a polygon is 2700 degrees, how many sides does it have?

Cerrena [4.2K]

<span>Number of Polygon Sides = (Sum of Interior Angles ÷ 180) + 2
= (2,700 / 180) + 2
15 + 2
The answer is 17 sides
Source:
http://www.1728.org/polygon.htm

</span>

6 0

3 years ago