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3 years ago

Choose all the statements that are true about the graph.

Mathematics

1 answer:

Novay_Z [31]3 years ago

7 0

Answer:

f(x) is negative when x < 9
f(x) is increasing when x < 1
The x-intercept is 9

Step-by-step explanation:

The function is

f(y) = (y + 2)³ + 1

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Compare how you would model and record finding the sum and difference of two rocks weighing 2/8 & 3/8 of a pound

ICE Princess25 [194]

Sum = 2/8 + 3/8 = (2+3)/8 = 5/8 pounds

Difference = 3/8 - 2/8 = (3-2)/8 = 1/8 pounds

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3 years ago

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

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

0.5x + 4 + 0.9x = x + 5

Law Incorporation [45]

Answer:

x=2.5

Step-by-step explanation:

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3 years ago

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#2 what number is 75% of 300? A) 36 B) 22.5 C) 2250 D) 225

Dmitry_Shevchenko [17]

The answer would be D) 225, because 0.75 x 300 = 225.

5 0

4 years ago

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Simplify 3x⁵y³ ÷2y² step by step

seropon [69]

Answer:

3/2 x^5 y

Step-by-step explanation:

3x^5y^3

----------------

2y^2

Simplify the y terms

y^3 / y^2 = y^(3-2) = y

3/2 x^5 y

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3 years ago

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