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PtichkaEL [24]
3 years ago
15

3/1/2+1/5/6÷1/3/5 hello good afternoon can u please solve this question​

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

See the steps below:)

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8 times the difference between a number and 6 is equal to 4 times the number...
astraxan [27]

Answer:

(A) 12

Step-by-step explanation:

First, lets define the number as x.

"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"

8(x - 6) = 4x

8x - 48 = 4x

4x = 48

x = 12

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2 years ago
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45 miles in 40 minutes
charle [14.2K]
Hi there!

45 mi to 40 min = 1.125 mi per min

45 ÷ 40 = 1.124

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8 0
3 years ago
Tamara makes 12 identical flower arrangements, each with 3 roses and some carnations. She uses a total of 96 flowers.
storchak [24]

Answer:

5 carnations in each arrangement

Total of 60 carnations used

Step-by-step explanation:

First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:

96 ÷ 12 = 8

Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:

8 - 3 = 5

Therefore, there are 5 carnations in each arrangement

Total number of carnations used = 5 x 12 = 60

5 0
2 years ago
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
A cylindrical well has a radius of 8 feet and a height of 13 feet. What is the volume of the well? Use 3.14 for pi. Round your a
Murrr4er [49]

Answer:

using pi *r^2 *h

volume = 2614.14 cubic ft

3 0
2 years ago
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