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ElenaW [278]
3 years ago
9

Is this pattern a net for the three-dimensional figure?

Mathematics
2 answers:
wariber [46]3 years ago
6 0

your pattern is 3-d :)

Tom [10]3 years ago
3 0

Answer with explanation:

A pattern is said to be three dimensional , if apart from two dimensions that we usually use to describe a two dimensional object that is length and breadth we add another dimension called Height in it.

The Solid shown here has three dimension , which are length , breadth and height.

So,with Conformity the pattern is a net for the three-dimensional figure.

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Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = t 9 − t2 , [−1, 3]
ahrayia [7]

The absolute minimum = -2√2.

The absolute maximum=  4.5

Consider f(t)=t√9-t on the interval (1,3].

Find the critical points: Find f'(t)=0.

f"(t) = 0

√9-t² d/dt t + t d/dt √9-t²=0

√9-t²  + t/2√9-t² (-2t)=0

9-t²-t²/√9-t²=0

9-2t²=0

9=2t²,   t²=9/2, t=±3/√2

since -3/√2∉  (1,3].

Therefore, the critical point in the interval  (1,3] is t= 3/√2.

Find the value of the function at t=1, 3/√2,3 to find the absolute maximum and minimum.

f(-1)=-1√9-1²

    = -√8 , =-2√2

f(3/√2)= 3/√2 √9-(3/√2)²

        = 3/√2 √9-9/2

      =3/√2 √9/2

     =9/2 = 4.5

f(3)= 3√9-3²

    = 3(0)

    =0

The absolute maximum is 4.5 and the absolute minimum is -2√2.

The absolute maximum point is the point at which the function reaches the maximum possible value. Similarly, the absolute minimum point is the point at which the function takes the smallest possible value.

A relative maximum or minimum occurs at an inflection point on the curve. The absolute minimum and maximum values ​​are the corresponding values ​​over the full range of the function. That is, the absolute minimum and maximum values ​​are bounded by the function's domain.

Learn more about Absolute minimum and maximum here:brainly.com/question/19921479

#SPJ4

6 0
2 years ago
What is the area of AXYZ?
kotegsom [21]

Answer:

14 sq inches

Step-by-step explanation:

took test, got right

6 0
3 years ago
What is 8(3m+5)=2m-4
iren2701 [21]
<span>8(3m+5)=2m-4
Multiply the number outside of the parenthesis with the numbers inside the parenthesis
24m+40=2m-4
Subtract 2m from both sides so that the variable is only on one side
22m+40=-4
Subtract 40 from both sides
22m=-44
Divide 22 on both sides
Final Answer: m= -2</span>
8 0
4 years ago
A bag contains tiles of different colors. Jackson randomly selects a tile from the bag and returns the tile to the bag after rec
quester [9]

Answer:

2/15

Step-by-step explanation:

The answer choices to this question do not make sense since probability is a measure that is always <= 1.0

Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles

Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45

Probability of drawing a green tile = 6/45 = 2/15

3 0
2 years ago
For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent system whose coefficient matr
noname [10]

Answer:

b) inconsistent

d) inconsistent

f) inconsistent

j) X_1 = 2 - 6a , X_2 = 4 + a , X_3 = 3 - a, X_4 = a (free variable)

Step-by-step explanation:

b)

Given: Augmented matrix

\left[\begin{array}{ccc}2&-3&5\\-4&6&8\end{array}\right]

Row operation : R_2 + 2*R_1

\left[\begin{array}{ccc}2&-3&5\\0&0&18\end{array}\right]

Looking at R_2 : 0 not equal to 18 ; Hence, inconsistent

c)

Given: Augmented matrix

\left[\begin{array}{cccc}3&2&-3&4\\1&-2&2&1\\11&2&1&14\end{array}\right]

Row operation : R_2 <---> R_1

\left[\begin{array}{cccc}1&-2&2&1\\3&2&-3&4\\11&2&1&14\end{array}\right]\\

Row operations : R_2 - 3*R_1   &   R_3 - 11*R_1

\left[\begin{array}{cccc}1&-2&2&1\\0&8&-9&1\\0&24&-21&3\end{array}\right]\\

Row operations : R_3 - 3*R_2  

\left[\begin{array}{cccc}1&-2&2&1\\0&8&-9&1\\0&0&6&0\end{array}\right]\\

Looking at R_3 : 0 not equal to 6 ; Hence, inconsistent

f)

Given: Augmented matrix

\left[\begin{array}{cccc}1&-1&2&4\\2&3&-1&1\\7&3&4&7\end{array}\right]\\

Row operations : R_2 - 2*R_1   &   R_3 - 7*R_1

\left[\begin{array}{cccc}1&-1&2&4\\0&5&-5&-7\\0&10&-10&-21\end{array}\right]\\

Row operations : R_2 --> ( 1 / 5 )* R_2  & R_3 --> ( 1 / 10 )* R_3

\left[\begin{array}{cccc}1&-1&2&4\\0&1&-1&-1.4\\0&1&-1&-2.1\end{array}\right]\\

Row operations : R_3 - R_1

\left[\begin{array}{cccc}1&-1&2&4\\0&1&-1&-1.4\\0&0&0&-0.7\end{array}\right]\\

Looking at R_3 : 0 not equal to -0.7 ; Hence, inconsistent

j)

Given: Augmented matrix

\left[\begin{array}{ccccc}1&2&-3&1&1\\-1&-1&4&-1&6\\-2&-4&7&-1&1\end{array}\right]\\

Row operations : R_2 + R_1   &   R_3 + 2*R_1

\left[\begin{array}{ccccc}1&2&-3&1&1\\0&1&1&0&7\\0&0&1&1&3\end{array}\right]\\

corresponding equations are:

X_1 + 2*X_2 - 3*X_3 + X_4 = 1

X_2 + X_3  = 7

X_3 + X_4 = 3

Free parameter : X_4 = a , then:

X_3 = 3 - a

X_2 = 4 + a

X_1 = 1 - a + 3*(3 - a) - 2*(4 + a) = 2 - 6 a

4 0
4 years ago
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