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3 years ago

15

Which literal equations are equivalent to p = mv? Choose all answers that are correct. A. B. C. D

1 answer:

andrey2020 [161]3 years ago

5 0

The answer is letter A. m = p / v.

The solution involves basic algebra and can be seen as follows:
p = mv
mv = p
mv / v = p / v
m = p / v

Thank you for posting your question. Please feel free to ask me more.

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Use matrix addition to solve this equation: B + 15 −7 4 0 1 2 = 1 2 12 4 0 2 b11 = b12 = b13 = b21 = 4 b22 = −1 b23 = 0

Arada [10]

Answer:

$b_{11}=-14,b_{12}=9,b_{13}=8,b_{21}=4,b_{22}=-1,b_{23}=0$

Step-by-step explanation:

The given matrix addition is

$B+\begin{bmatrix}15&-7&4\\ 0&1&2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}$

We need to find the elements of matrix B.

Let $B=\begin{bmatrix}b_{11}&b_{12}&b_{13}\\ b_{21}&b_{22}&b_{23}\end{bmatrix}$

Substitute the value of matrix.

$\begin{bmatrix}b_{11}&b_{12}&b_{13}\\ b_{21}&b_{22}&b_{23}\end{bmatrix}+\begin{bmatrix}15&-7&4\\ 0&1&2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}$

After addition of two matrix we get

$\begin{bmatrix}b_{11}+15&b_{12}-7&b_{13}+4\\ b_{21}+0&b_{22}+1&b_{23}+2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}$

On equating both sides.

$b_{11}+15=1\Rightarrow b_{11}=-14$

$b_{12}-7=2\Rightarrow b_{12}=9$

$b_{13}+4=12\Rightarrow b_{13}=8$

$b_{21}+0=4\Rightarrow b_{21}=4$

$b_{22}+1=0\Rightarrow b_{22}=-1$

$b_{23}+2=2\Rightarrow b_{23}=0$

Therefore, the elements of matrix B are $b_{11}=-14,b_{12}=9,b_{13}=8,b_{21}=4,b_{22}=-1,b_{23}=0$ .

3 0

3 years ago

The Tran family and the Green family each used their sprinklers last summer. The water output rate for the Tran family's sprinkl

ser-zykov [4K]

Answer:

Tran family's sprinkler was used for 20 hours

Green's family's sprinkler was used for 30 hours

Step-by-step explanation:

Let the hours for which Tran family's sprinkler used is x hours

water output rate for the Tran family's sprinkler = 35L per hour

water output from Tran family's sprinkler in x hours = 35*x L = 35x

Let the hours for which Green family's sprinkler used is y hours

water output rate for the Green family's sprinkler = 40L per hour

water output from Green family's sprinkler in x hours = 40*y L = 40y

Given

The families used their sprinklers for a combined total of 50 hours

thus

x + y = 50 -------------------equation 1

y = 50-x

total water output of 1900L

35x+40y = 1900 -------------------equation 1

using y = 50-x in equation 2, we have

35x + 40(50-x) = 1900

35x + 2000 - 40x = 1900

=> -5x = 1900 - 2000 = -100

=> x = -100/-5 = 20

y = 50-20 = 30

Thus,

Tran family's sprinkler was used for 20 hours

Green's family's sprinkler was used for 30 hours

4 0

3 years ago

Solve the Equation |x-8|=16

choli [55]

|x-8| = 16
⇒ x-8= 16 or x-8= -16
⇒ x= 16+ 8 or x= -16+ 8
⇒ x= 24 or x= -8

Final answer: x= 24 or x= -8~

4 0

3 years ago

Read 2 more answers

How can I start this one I'm lost again help

Vesna [10]

Idk but the web always helps me so you can ask that question online

7 0

3 years ago

A plumber charges $96 an hour for making house calls to do plumbing work. Write the function and then find the domain and range

krek1111 [17]

Answer:

i forgot

Step-by-step explanation:

7 0

3 years ago