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2 years ago

Consider the equation 3p – 7 p = 13. what is the resulting equation after the first step in the solution?

Mathematics

1 answer:

never [62]2 years ago

7 0

Answer:

-4p=13

Step-by-step explanation:

-3p-7p=13

-4p=13

p=-13/4

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Suppose quantity s is a length and quantity t is a time. Suppose the quantities v and a are defined by v = ds/dt and a = dv/dt.

finlep [7]

Answer:

a) $v = \frac{[L]}{[T]} = LT^{-1}$

b) $a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

c) $\int v dt = s(t) = [L]=L$

d) $\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

e) $\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

Step-by-step explanation:

Let define some notation:

[L]= represent longitude , [T] =represent time

And we have defined:

s(t) a position function

$v = \frac{ds}{dt}$

$a= \frac{dv}{dt}$

Part a

If we do the dimensional analysis for v we got:

$v = \frac{[L]}{[T]} = LT^{-1}$

Part b

For the acceleration we can use the result obtained from part a and we got:

$a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

Part c

From definition if we do the integral of the velocity respect to t we got the position:

$\int v dt = s(t)$

And the dimensional analysis for the position is:

$\int v dt = s(t) = [L]=L$

Part d

The integral for the acceleration respect to the time is the velocity:

$\int a dt = v(t)$

And the dimensional analysis for the position is:

$\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

Part e

If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got:

$\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

7 0

3 years ago

Use FOIL to explain how to find the product of (a + b)(a − b). Then describe a shortcut that you could use to get this product w

xenn [34]

Answer:

The product of (a+b)(a-b) is $a^2 - b^2$

Step-by-step explanation:

Use FOIL to explain how to find the product of (a + b)(a − b)

FOIL is

Multiply First terms : a*a = a^2

Multiply Outside terms : a* -b = -ab

Multiply Inner terms : b * a= ab

Multiply last terms : b * -b = -b^2

now we combine all the terms

$a^2 -ab+ab - b^2$

combine like terms

$a^2 - b^2$

The product of (a+b)(a-b) is $a^2 - b^2$

Shortcut is we apply an identity

$a^2 - b^2 = (a+b)(a-b)$

8 0

3 years ago

Read 2 more answers

Plz help!<br> Which table shows a linear function?

Nikitich [7]

The second table. A linear function is a function where adding the same amount to x should add the same amount to y.

In table 2, you can see that adding 1 to x adds 2 to y. All the other tables describe non-linear functions.

6 0

3 years ago

Read 2 more answers

What is 1/2 of 3/4 cup of peanut butter

kondor19780726 [428]

Answer:

3/8

Step-by-step explanation:

2x4= 8

8 0

3 years ago

Answer 10,11,12,13,14

QveST [7]

10
13.50 per set
+.45 per day value
she got 20 sets
5 days after would be
13.50 ×20=270
value of 20 sets at 13.50 a set on day one was 270.00
.45×20=9.00
the 20 sets gain 9 dollars a day
9×5=45
9 dollars a day times 5 days is 45 dollars
45+270=315

11

4 0

3 years ago