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3 years ago

9

Its awpicture please help if you can

1 answer:

ASHA 777 [7]3 years ago

4 0

Someone help me... please

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A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The

DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

$V=Bh$

where

B is the area of the base of cylinder

h is the height of cylinder

we have

$B=\pi r^{2}$

we have

$h=8\ mm$

$r=6/2=3\ mm$ ----> the radius is half the diameter

$B=(3.14)(3)^{2}$

$B=28.26\ mm^2$

substitute

$V=(28.26)(8)=226.08\ mm^3$

step 2

Find the volume of the sphere

The volume is given by

$V=\frac{4}{3}\pi r^{3}$

we have

$r=6/2=3\ mm$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3$

step 3

Adds the volumes

$226.08+113.04=339.12\ mm^3$

6 0

3 years ago

Simplify expression x8y-26/x14y-5 × x-39y-21

koban [17]

The simplified form of the expression is $x^{-45} y^{-42}$

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

The expression can be simplified as shown below

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

$\frac{x^{8} \times x^{-39} \times y^{-26} \times y^{-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8+-39} \times y^{-26+-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8-39} \times y^{-26-21} }{x^{14} \times y^{-5} }$

$\frac{x^{-31} \times y^{-47} }{x^{14} \times y^{-5} }$

Then,

$\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }$

$x^{-31-14} \times y^{-47--5}$

$x^{-31-14} \times y^{-47+5}$

$x^{-45} \times y^{-42}$

$x^{-45} y^{-42}$

Hence, the simplified form of the expression is $x^{-45} y^{-42}$

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0

2 years ago

Math graph and solution y=3x2+18x-21

Likurg_2 [28]

We have that

<span>y=3x</span>²<span>+18x-21

using a graph tool
see the attached figure

the solutions are
x=-7
x=1</span>

6 0

3 years ago

What two numbers multiply to be -12 and add to be 1

stiks02 [169]

It’s 4 and negative 3

7 0

3 years ago

Read 2 more answers

Use the table at the right.<br> a. What is the approximate volume of the small truck?

irina [24]

Volume of the small truck = 554.54 cubic ft

Solution:

Given data:

Length of the small truck = $11\frac{1}{13}$ ft

Width of the small truck = $7\frac{5}{12}$ ft

Height of the small truck = $6\frac{3}{4}$ ft

Volume of the small truck = length × width × height

$$=11\frac{1}{13}\times7\frac{5}{12}\times 6\frac{3}{4}$

Let us change the mixed fraction into improper fraction.

$$=\frac{11\times 13 + 1}{13}\times\frac{7 \times 12 + 5}{12}\times \frac{6 \times 4 + 3}{4}$

$$=\frac{144}{13}\times\frac{89}{12}\times \frac{27}{4}$

$$=\frac{7209}{13}$

= 554. 54 cubic ft

Volume of the small truck = 554.54 cubic ft

6 0

3 years ago