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3 years ago

Evaluate the function for f(x) = x + 3 and g(x) = x^2 − 2. (f + g)(−8) =

Mathematics

1 answer:

Hitman42 [59]3 years ago

7 0

The answer is -71. I put the -8 in place of the x, then solved.

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PLEASE HELP ASAP !!

wariber [46]

Answer:

First figure: $954cm^3$

Second figure: $1,508yd^3$

Third figure:

Height= q
Side length = r

Fourth figure:  $726cm^3$

Explanation:

A. First figure:

1. Formula:

$\text{Volume of a cylinder}=\pi \times radius^2\times length$

2. Data:

radius = 9cm / 2 = 4.5cm

length = 15 cm

3. Substitute in the formula and compute:

$Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3$

B. Second figure

1. Formula:

$\text{Volume of a leaned cylinder}=\pi \times radius^2\times height$

2. Data:

radius = 12yd

height = 40 yd

3. Substitute and compute:

$Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3$

C) Third figure

a) The height is the segment that goes vertically upward from the center of the base to the apex of the pyramid, i.e. q .

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e. r .

When the base of the pyramid is a square the four edges of the base have the same side length.

D) Fourth figure

1. Formula

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

$Volume=(1/3)B\times H$

2. Data:

height: H = 18cm

side length of the base: 11 cm

3. Calculations

a) Calculate the area of the base.

The base is a square of side length equal to 11 cm:

$\text{Area of the base}=B=(11cm)^2=121cm^2$

b) Volume of the pyramid:

$Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3$

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3 years ago

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What is FG? NEED HELP QUICK!!

egoroff_w [7]

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

$\frac{24}{54}$ = $\frac{x}{x+10}$ ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

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2 years ago

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Illusion [34]

The measure of anngle 3 is 135

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What are the coordinates of point A? (8,-6) (-6,8) (-5,7) (7,-5)

mihalych1998 [28]

Answer:

Not the smartest person, but the graph shows that they're pointing down!

Step-by-step explanation:

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3 years ago

Which list of numbers is in order from GREATEST to LEAST? 2.7, 2 1/2, 3/10,-1/9 is this right??

ikadub [295]

Yes you are correct.

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3 years ago

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