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3 years ago

4x+11<23 solve for x

1 answer:

8 0

Let's solve your inequality step-by-step.
4x+11<23
Step 1: Subtract 11 from both sides.
4x+11−11<23−114x<12
Step 2: Divide both sides by 4.4x4<124x<3
Answer:
 x<3

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An object is acted upon by the forces F1=<10,6,4> and F2=<0,3,9>. Find the force F3 that must act on the object

murzikaleks [220]

$\vec F_3=\langle x,y,z\rangle$ is a force vector such that

$\vec F_1+\vec F_2+\vec F_3=\vec0$

$\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle$

$\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13$

So the missing force is

$\boxed{\vec F_3=\langle-10,-9,-13\rangle}$

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2 years ago

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter

andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

$tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }$

$sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }$

sin(2α) = 2 sinα cosα

So,

$1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})$

See what you can do with the others.

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3 years ago

Which is the soluction of x/5 - 10 = 20? A x = 2 B x = 6 C x = 50 D x = 150

ololo11 [35]

x/5 - 10 = 20

add 10 to each side

x/5 = 30

multiply by 5

x = 150

7 0

2 years ago

Read 2 more answers

A ball is rolled at a velocity of 12m/sec.after 36 seconds,it comes to a stop what is the acceleration of the ball?

miv72 [106K]

acceleration of ball is $\frac{-1}{3}\,\,m/sec^2$

Step-by-step explanation:

Initial Velocity = 12m/sec

time = 36 s

Final Velocity 0 m/sec (ball comes to stop)

Acceleration= ?

The formula used to find acceleration is:

$Acceleration=\frac{Final\,\,Velocity-Initial\,\,Velocity}{Time}$

Putting values and finding acceleration:

$Acceleration=\frac{Final\,\,Velocity-Initial\,\,Velocity}{Time}$

$Acceleration=\frac{0-12}{36}$

$Acceleration=\frac{-12}{36}$

$Acceleration=\frac{-1}{3}\,\,m/sec^2$

So, acceleration of ball is $\frac{-1}{3}\,\,m/sec^2$

Keywords: Acceleration

Learn more about Acceleration at:

#learnwithBrainly

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3 years ago

Jim drank 2/5 of his water bottle and John drank 3/10 of his water bottle. How much did the both boys drink?

suter [353]

The boys drink 7/10 of a water bottle

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3 years ago