All categories

3 years ago

Solve 3|x - 61 = 12.

Mathematics

2 answers:

lisov135 [29]3 years ago

4 0

Answer:

x = 10 or x = 2

Step-by-step explanation:

Alika [10]3 years ago

3 0

Last option
-2 is ur answer

You might be interested in

Find the magnitude of the vector.<br> (-2,-7)

nevsk [136]

Answer:

$\sqrt{53}$

Step-by-step explanation:

$\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\$

Then you need to simplify:

$=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}$

3 0

3 years ago

Read 2 more answers

An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration

KiRa [710]

Answer:

t = 1.068 s

Step-by-step explanation:

given,

a(t) =- k v(t)

speed of the object decreases from 800 ft/s to 700 ft/s

distance = 1400 ft

time for deceleration = ?

a(t) =- k v(t)

$\dfrac{dv}{dt}= - kv$

$\dfrac{dv}{v}= - kdt$

integrating both side

$\int_{800}^{700}\dfrac{dv}{v}= - k\int dt$

$ln(\dfrac{7}{8})=-kt$

$t = -\dfrac{1}{k}ln(\dfrac{7}{8})$ ..........(1)

since,

$v = v_1e^{-kt}$

$\dfrac{ds}{dt} = 800e^{-kt}$

$\int ds= 800\int_0^t e^{-kt}dt$

$1400= -\dfrac{800}{k}[e^{-kt}-e^0]$

from equation 1

$k= -\dfrac{8}{14}[\dfrac{7}{8}-1]$

$k= \dfrac{1}{8}$

putting value of k in equation (1)

$t = -8ln(\dfrac{7}{8})$

t = 1.068 s

5 0

4 years ago

Can someone help me with these two proof questions?

timurjin [86]

The proofs of above Questions is in attachment !

6 0

3 years ago

What is the area of the following circle? D = 2

Vladimir79 [104]

Answer:

$\pi \: {r}^{2} = \pi \: { \frac{d}{4} }^{2}$

Plug the formula in to your calculator

8 0

3 years ago

Read 2 more answers

4.<br> What is the domain of the graph shown below?

ANEK [815]

Answer:

-6 < x ≤ 6

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers