All categories

3 years ago

Make U the subject of the formula D = ut + kt2

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Remark

I'm going to interpret this equation as

D = ut + kt² The only difference is the 2.

Solution

Subtract kt² from both sides.

D - kt² = ut Now divide by u on both sides.

$\dfrac{D - kt^2}{t} = \dfrac{ut}{t}$

The t's cancel out. on the right. You are left with u on the right.

$\dfrac{D - kt^2}{t} =\text{u}$

You might be interested in

Help please!!!!!!!!!

In-s [12.5K]

ANSWER

EXPLANATION

For a matrix A of order n×n, the cofactor $C_{ij}$ of element $a_{ij}$ is defined to be

$C_{ij} = (-1)^{i+j} M_{ij}$

$M_{ij}$ is the minor of element $a_{ij}$ equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.

Here, we have

$C_{11} = (-1)^{1+1} M_{11} = M_{11}$

M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \end{aligned}$

Since the determinant of a 2×2 matrix is

$\det\left( \begin{bmatrix} a & b \\ c& d \end{bmatrix} \right) = ad-bc$

it follows that

so $C_{11} = M_{11} = 24$

4 0

3 years ago

Olympic pools hold<br> about 660, 334<br> gallons, how<br> many liters is that?

Scrat [10]

Answer:

I think it's 2.5 million liters

Step-by-step explanation:

I asked my mom. And sister but my sister got a different answer but I took my mom answer.

8 0

2 years ago

-5 /6 + ? =a negative number

lubasha [3.4K]

Answer:

-11

Step-by-step explanation:

-5 minus 6 equals -11. Look up on Google

8 0

3 years ago

Read 2 more answers

find the slope of the line that contains the following points A : [ 17 , -12 ] and [ 17 , 8 ] and B [ 6 , -2 ] and [ -3 , 1 ]

Svetradugi [14.3K]

1/9 because i you plug in two of the points into y2 -y1 over x2 -x1 thats what you get.

4 0

3 years ago

Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airline offers a rou

Finger [1]

Answer:

a. The Mexican Airline offers a better deal for 9 students to travel.

b. 10 students

Step-by-step explanation:

a. The Mexican Air airline offers a round trip airfare of $250 per person.

So, for 9 students the fare will be total $(250 × 9) = $2250

Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.

So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.

Therefore, the Mexican Airline offers a better deal for 9 students to travel. (Answer)

b. Let for x students both the airline offers the same total costs.

Then we can write

250x = 1000 + 150x {From the conditions given}

⇒ 100x = 1000

⇒ x = 10

So, if the number of students is 10, then only both the airlines will take same fare. (Answer)

8 0

3 years ago