When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer:

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Which of the following is the closest to the total surface area of the this box?

GalinKa [24]

Answer:

52 ft

Step-by-step explanation:

the answer is c

5 0

3 years ago

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What is the equation of the graph

AveGali [126]

Answer:

$y = 2x^2 + 1$

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

$y = a*x^2 + b$

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

$3 = a * (1)^2 + 1\\2 = a$

Awesome, we've found both values. And we can write the result.

$y = 2x^2 + 1$

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0

2 years ago

Consider the expression 2√3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 This expression can be represented as the product of the factors.

Alla [95]

Answer with explanation:

The given expression is:

$2 \sqrt{3}\cos x * \csc x+4 \cos x-3 \csc x-2\sqrt{3}\\\\=2 \cos x*(\sqrt{3}*\csc x+2)-\sqrt{3}*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)=0\\\\(2\cos x -\sqrt{3})=0 \wedge (\sqrt{3}*\csc x+2)=0$

$\cos x=\frac{\sqrt{3}}{2} \wedge \csc x=\frac{-2}{\sqrt{3}}\\\\x=\frac{\pi}{6},2\pi-\frac{\pi}{6}\\\\x=\frac{\pi}{6},\frac{11\pi}{6} \wedge x=\pi+\frac{\pi}{3} ,2\pi-\frac{\pi}{3}\\\\x=\frac{4\pi}{3},\frac{5\pi}{3}\\\\x={\frac{\pi}{6},\frac{11\pi}{6},\frac{4\pi}{3},\frac{5\pi}{3}}$