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vesna_86 [32]
3 years ago
11

Easy question for all the points?

Mathematics
2 answers:
kaheart [24]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Height: h

Length: 2h + 15

Area = length × width

4h² + 42h + 90

2(2h² + 21h + 45)

2[2h² + 15h + 6h + 45]

2[h(2h + 15) + 3(2h + 15)]

2(h + 3)(2h + 15)

Width = 2(h+3) = 2h + 6

Length: 2h + 15

Difference:

(2h + 15) - (2h + 6)

2h + 15 - 2h - 6

9

Width is 9 feet shorter than the length

forsale [732]3 years ago
4 0

Answer:

D

Step-by-step explanation:

You might be interested in
Consider the linear transformation T from V = P2 to W = P2 given by T(a0 + a1t + a2t2) = (2a0 + 3a1 + 3a2) + (6a0 + 4a1 + 4a2)t
Svet_ta [14]

Answer:

[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]

Step-by-step explanation:

First we start by finding the dimension of the matrix [T]EE

The dimension is : Dim (W) x Dim (V) = 3 x 3

Because the dimension of P2 is the number of vectors in any basis of P2 and that number is 3

Then, we are looking for a 3 x 3 matrix.

To find [T]EE we must transform the vectors of the basis E and then that result express it in terms of basis E using coordinates and putting them into columns. The order in which we transform the vectors of basis E is very important.

The first vector of basis E is e1(t) = 1

We calculate T[e1(t)] = T(1)

In the equation : 1 = a0

T(1)=(2.1+3.0+3.0)+(6.1+4.0+4.0)t+(-2.1+3.0+4.0)t^{2}=2+6t-2t^{2}

[T(e1)]E=\left[\begin{array}{c}2&6&-2\\\end{array}\right]

And that is the first column of [T]EE

The second vector of basis E is e2(t) = t

We calculate T[e2(t)] = T(t)

in the equation : 1 = a1

T(t)=(2.0+3.1+3.0)+(6.0+4.1+4.0)t+(-2.0+3.1+4.0)t^{2}=3+4t+3t^{2}

[T(e2)]E=\left[\begin{array}{c}3&4&3\\\end{array}\right]

Finally, the third vector of basis E is e3(t)=t^{2}

T[e3(t)]=T(t^{2})

in the equation : a2 = 1

T(t^{2})=(2.0+3.0+3.1)+(6.0+4.0+4.1)t+(-2.0+3.0+4.1)t^{2}=3+4t+4t^{2}

Then

[T(t^{2})]E=\left[\begin{array}{c}3&4&4\\\end{array}\right]

And that is the third column of [T]EE

Let's write our matrix

[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]

T(X) = AX

Where T(X) is to apply the transformation T to a vector of P2,A is the matrix [T]EE and X is the vector of coordinates in basis E of a vector from P2

For example, if X is the vector of coordinates from e1(t) = 1

X=\left[\begin{array}{c}1&0&0\\\end{array}\right]

AX=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]\left[\begin{array}{c}1&0&0\\\end{array}\right]=\left[\begin{array}{c}2&6&-2\\\end{array}\right]

Applying the coordinates 2,6 and -2 to the basis E we obtain

2+6t-2t^{2}

That was the original result of T[e1(t)]

8 0
3 years ago
Each of the statements contains a blunder. In each case, choose the statement that correctly explains the blunder. (a) "There is
Vikki [24]

Answer:

Correlation requires both variables to be quantitative.

Step-by-step explanation:

The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".

4 0
4 years ago
Pls help!! 15 points
Ronch [10]
This says only 8 points not 15
6 0
3 years ago
Read 2 more answers
Please answer this question now in two minutes
bezimeni [28]

Answer:

ray UV and ray UT

Step-by-step explanation:

The sides are the rays that make up the angle

ray UV and ray UT make up the angle VUT

3 0
3 years ago
Smiths bike shop rents bikes for $10
Trava [24]
10+(4x3)= $22 (How much she rent the bike for)
3 0
3 years ago
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