Pls hep

Solve the inequality.
pls hep Solve the inequality. - 1


Answer 1


y > 9

Step-by-step explanation:

Given inequality:

-6 > -(2)/(3)y

To solve the given inequality, we need to isolate y on one side of the equation.

Begin by multiplying both sides of the inequality by 3 to eliminate the fraction on the right side:

-6 \cdot 3 > -(2)/(3)y\cdot 3

-18 > -2y

Now, divide both sides of the inequality by -8 to isolate y. Remember to reverse the inequality sign, as we are dividing by a negative number.

(-18)/(-2) > (-2y)/(-2)

9 < y

Therefore, the solution is:

\Large\boxed{\boxed{y > 9}}

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The short run is defined as a period of time whereSelect one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.




Step-by-step explanation:

a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q

Final answer:

The short run in economics is a period in which some of a firm's inputs are fixed. These fixed inputs can include capital, such as the factory building, which cannot be adjusted quickly in response to changes in economic circumstances. Meanwhile, in the long run, all of a firm's inputs can be changed.


In economics, the short run is referred to as a period wherein some of a firm's inputs are fixed. Notable examples of these fixed inputs can be capital or the factory building, which cannot be increased or decreased instantaneously in response to economic circumstances. This distinguishing characteristicseparates the short run from the long run where, in contrast, firms have the flexibility to change all inputs.


For instance, consider a bakery production. In the short run, the bakery cannot immediately expand its premises or decrease the size of its building if the demand changes. The equipment can't be heightened, the building is fixed and it can't be altered. Here, the bakery can increase production by hiring more employees or extending their hours which are known as variable inputs but cannot change its fixed inputs like the size of the building or equipment.

Learn more about Short Run in Economics here:


Find the exact values of the six trigonometric functions of given the point (-4, 5) on the terminal side of in standard position.



\sin(\theta)=5√(41)/41\text{ and } \csc(\theta)=√(41)/5\n\cos(\theta)=-4√(41)/41\text{ and } \sec(\theta)=-√(41)/4\n\tan(\theta)=-5/4\text{ and } \cot(\theta)=-4/5

Step-by-step explanation:

Please refer to the attached figure.

So, we can see that our angle θ is in QII.

Recall All Students Take Calculus. Since this is QII, we use the Students. In other words, only sine (and cosecant) is positive. So, cosine and tangent are negative.

Now, we also know that a point is (-4,5). Referring to our figure, this means that our adjacent side is 4 (technically -4, but we can ignore this) and our opposite side is 5. So, to find the other ratios, let's find the hypotenuse.

Use the Pythagorean Theorem:


Substitute 4 for a and b for 5. Solve for c. So:






Take the square root:


So, our side lengths are: Opposite=5; Adjacent=4; and Hypotenuse=√41.

Now, we can find our side lengths.

Sine and Cosecant:


Substitute 5 for Opp and √41 for Hyp. So:




Since our angle is in QII, sine stays positive.

Cosecant is the reciprocal of sine. So:


Cosine and Secant:


Substitute 4 for Adj and √41 for Hyp:




Since our angle is in QII, cosine is negative. So:


Secant is the reciprocal of cosine. So:


Tangent and Cotangent:


Substitute 5 for Opp and 4 for Adj. So:


Since our angle is in QII, tangent is negative. So:


Cotangent is the reciprocal of tangent:


And we are finished!

Final answer:

Using the given point (-4,5) in standard position, first calculate the radius using the Pythagorean theorem. Then, calculate each of the six trigonometric functions using the coordinates and the calculated radius.


The given point is (-4,5). In the standard position, the x-coordinate represents the cosine of the angle, while the y-coordinate represents the sin of the angle. However, we need to find the radius (r), which can be found using Pythagorean theorem:

r = sqrt(x


+ y



meaning, r = sqrt((-4)


+ 5


) = sqrt(41).  

Now, each of the six trigonometric functions can be calculated as follows:

  • Sine (Sin θ = y/r): Sin θ = 5/sqrt(41),
  • Cosine (Cos θ = x/r): Cos θ = -4/sqrt(41),
  • Tangent (Tan θ = y/x): Tan θ = -5/4,
  • Cosecant (Csc θ = r/y): Csc θ = sqrt(41)/5,
  • Secant (Sec θ = r/x): Sec θ = -sqrt(41)/4,
  • Cotangent (Cot θ = x/y): Cot θ = 4/5.

Learn more about Trigonometric Functions here:


How to simply the radical


6√2 + 4 √32
try to get the same number "2" remaining under the root sign by finding what # times 2 gives 32
6√2 + 4√2×√16
since 16 is a perfect Square √16 gives 4
6√2 + 4 ×4 √2
6√2 +16√2
these are Like terms so add them
which would give u
hoped i helped, feel free to ask any question XOX

I need help on this question please and thank you that would be great



w independant a dependant

Step-by-step explanation:

What is the sum of 18 23/30+ 2/3



See image

Step-by-step explanation: