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The statement that correctly compares the slopes of the linear functions is: the slope of g(x) is less than the slope of f(x).

Slope of a linear function = change in y / change in x = rise/run

Given the linear functions, g(x) and f(x) as shown in the image attached:

Slope of g(x) = 1/2 = 0.5

Slope of f(x) = 2/1 = 2

Therefore, we can conclude that: the slope of g(x) is less than the slope of f(x).

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Answer:

41.89 cm3

Step-by-step explanation:

Given : Height = 10 cm

Given: Radius = 2 cm

Find the volume,

The formula for volume is,

V = π([tex]r^2[/tex])[tex]\frac{h}{3}[/tex]

Fill in the formula with the given values,

π · [tex]2^2[/tex] · [tex]\frac{10}{3}[/tex]

= 41.8879.....

Round answer to the nearest hundredth,

(The Rule For Rounding: the last digit is less than 5, keep the previous digit the same. If it's 5 or more then you should round the previous digit up.)

41.8879

7 is more than 5 so bring the 8 up to a 9,

41.89

Therefore the answer is 41.89 cm3.

Answer:

41.9 cm³ (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

[tex]\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac{1}{3} \pi \cdot 2^2 \cdot 10\\\\ & = \sf \dfrac{1}{3}\pi \cdot 40\\\\& = \sf \dfrac{40}{3}\pi\\\\ & = \sf 41.88790205\:cm^3\end{aligned}[/tex]

Therefore, the volume is 41.9 cm³ (nearest tenth)

Step-by-step explanation:

we can only solve an equation.

but here we only have an expression, which we can simplify :

(-2x - 6x² - 4) + (5x² - 2x)

-2x - 2x - 6x² + 5x² - 4

-4x - x² - 4

Answer:

its 698...............................

Given the volume of the space in the pot and the volume of the meatballs, the sauce will not spill over.

The first step is to determine the volume of the remaining space that the sauce is yet to fill. A pot usually has the shape of a cylinder, so the formula for the volume of a cylinder would be used.

Volume of a cylinder = πr²h

π x (14/2)³ x 2 = 98 in³

The second step is to determine the volume of the two dozen meatballs.

Volume of a sphere = 4/3πr³

24 x (4/3 x π x (2/2)³) = 32π in³

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The sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.

The volume of sauce in the pot is calculated as follows;

V = πr²h

V = π x (7)² x (2)

V = 98π in³

Area of 1 meatball = πr² = π x (1)² = π in²

Area of the 2 dozen = (2 x 12) x A

                                       = 24 x π in² = 24π in²

the height of each meatball = 2 in,

Volume of the 2 dozens = 2 in x 24π in² = 48π in³

Total volume of the meatball and sauce in the pot = 98π + 48π = 146π in³

Thus, the sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.

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Answer:

By multiplying the term by itself (x+1)(x+1)

Some people like to use the box technique, which formats like this:

    x      +     1

x   x^2        1x

+  

1    1x           1

The terms multiply in columns, and then add all together

So

x^2 + 1x + 1x + 1 can be simplified to x^2+2x+1 = 0, which is the perfect square of (x+1)^2 = 0

Step-by-step explanation:

Answer:

yes, all answers are correct

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-100+100 = 0

Answer:

the answer would be 0

because if you take 100 away from 100 you have 0 left

720

Answer:

15/9 = 1200/x

15x/ 15 =10800/15

x= 720

Answer:

a3 = 112

Step-by-step explanation:

a2 + a1 = a4

So

3x + 20 = 4x + 4

x = 16

a4 = 68

180 - 68 = 112

Answer:

[tex]a=12[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

In this case, a = 9, b = a, and c = 15.

[tex]9^{2}+a^{2}=15^{2}[/tex]

[tex]81+a^{2}=225[/tex]

The, we subtract 81 from both sides getting:

[tex]a^{2}=144[/tex],

Then, [tex]a=12[/tex]

Answer: $184

Step-by-step explanation:

Step (1)- 1/3 of 120= $40

Step (2)= 3/5 of 40= $24

Step (3)- 40+24+120= $184 (ToTaL)

Hope this helpss!

Answer:

x=2, y=-4

Step-by-step explanation:

If you put a vertical or horizontal line straight through the shape and it looks the same, then it is symmetrical. You can put a symmetrical line both vertically AND horizontally. To do this, you just need a line going through the points at the tips and the points at the sides of the quadrilateral. A line that is vertical will be an x=, because it only covers one x-value. So, the line for x will be x=2, because it goes through both tips of the quadrilateral. A horizontal line will be y= because it only covers one y-value. So, the line for the horizontal line will by y=-4, because this goes through both sides of the quadrilateral.

Hope this helps!

Answer:

5, 8, 12

Step-by-step explanation:

l ]

l ] 8

l. ]

5 l

l________________]

12

Answer:

77 pounds of fudge were sold.

Answer:

Ricky drove at a speed of 34 mi/h.

Step-by-step explanation:

Danny = 26 mi/h

26 x 4 = 104

104 - 2 = 102

102/3 = 34

Answer: -15y

Step-by-step explanation:

6(x-2y) - 3(2x+y)

6x-12y -6x-3y

0x -15y

-15y

Answer:

-15y

Step-by-step explanation:

6(x-2y) - 3(2x+y)

6x-12y -6x-3y

0x -15y

-15y

Answer:

the splasher pool holds 133%.

Step-by-step explanation:

sponsored / paddler equals 144 pi over 108 pi equals 1.3 * 100 = 133%

Answer:

The answer is A

Step-by-step explanation:

because the angle in the circle is a central angle the angle is the same value as the arc.
Hope this helps!!

Answer: 2/3 i beleive

Step-by-step explanation:

Answer:

aₙ = 3n - 5

5th term = a₅ = 3.5 - 5 = 15 - 5 = 10

Answer:

Step-by-step explanation:

aₙ = 3n - 5

Put n = 5:

a₅ = 3 · 5 - 5

a₅ = 15 - 5

a₅ = 10

The length of an arc with central angle of 45 degrees and radius of 8 inches is 6.3 inches.

length of an arc = ∅ / 360 × 2πr

where

Hence,

r = 8 inches

∅ = 45 degrees

Therefore,

length of an arc = 45 / 360 × 2 × 3.14 × 8

length of an arc = 2260.8 / 360

length of an arc = 6.28 inches

length of an arc = 6.3 inches

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Answer:

b

Step-by-step explanation:

The division equation that satisfies the required parameters where 13 is the quotient is 1/1/13 = 13

The given parameters are:

A division equation is represented as:

Dividend/Divisor = Quotient

Substitute Quotient = 13

Dividend/Divisor = 13

A unit fraction is represented as 1/n, where n is an integer.

So, the divisor can be represented as 1/13

Dividend/1/13 = 13

Divide both sides by 13

Dividend = 1

So, we have:

1/1/13 = 13

Hence, the division equation is 1/1/13 = 13

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Answer:

8

Step-by-step explanation:

I hope this helps! If it does, please click "Thanks" to help me out!

Answer:

TS = 8 units

Step-by-step explanation:

see image.

Write a proportion. Crossmultiply and solve.

Answer: A

Step-by-step explanation:

Answer:

well its slop interform

Step-by-step explanation:

Answer:

The answer is sh50......

Answer:

Here is the ans...hope it helps:)