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2 years ago

PLEASE IM IN NEED OF HELP!!!!!

Mathematics

1 answer:

koban [17]2 years ago

6 0

Answer:

8 capsules

Step-by-step explanation:

The 100 mL of solution requires 4 capsules for its preparation. (4 × 150 mg = 600 mg). So, twice as much solution (200 mL) will require twice as many capsules. It will take 8 capsules to make 200 mL of solution.

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

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2 years ago

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2-x-3 combining like terms please

Olenka [21]

Answer: -1x - 1

Step-by-step explanation:

2 -1x -3

2-3 = -1

-1x - 1

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3 years ago

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Aliun [14]

Answer:

$(x-7)(x-\sqrt{5})(x+\sqrt{5})$

Step-by-step explanation:

The given expression is

$x^3-7x^2-5x+35$

Factor the first two and the last two.

$x^2(x-7)-5(x-7)$

$(x-7)(x^2-5)$

Apply difference of two squares to the leftmost factor.

$(x-7)(x-\sqrt{5})(x+\sqrt{5})$

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4%*57+(7654*34562)-68+1-213=?

OLga [1]

Step-by-step explanation:

264537270.28

ok..... oddly..

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Which graph does NOT represent a function?

Bas_tet [7]

C (the one that looks like a circle)

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