Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?

Volume without holes = 3 x 6 x 11 = 198 cubic inches.

Calculate volume of one hole:

3.14 x 0.5^2 x 3 = 2.355 cubic inches

There are 3 holes: 3 x 2.355 = 7.065

Subtract volume of the holes from the brick:

198 - 7.065 = 190.935 cubic inches.

Rounded to the nearest tenth: 190.9 cubic inches.

Answer:

190.9 inches^3

Step-by-step explanation:

First of all we have to find the total volume:

V = dimension 1 x dimension 2 x dimension 3

V = 3 x 6 x 11 = 198 inches^3

now we have to find the volume of the cylinders:

V= radius^2 x pi x height = 0.5^2 x 3.14 x 3 = 2.355 inches^3

the cylinders are three so:

V = 2.355 x 3 = 7.065 inches^3

at least we have to subtract this value at the total volume:

V= 198 - 7.065 = 190.935 = 190.9 inches^3

Answer:

I believe it has infinite solutions

Step-by-step explanation:

Answer:

You were right the correct option is

- a > - b

Answer:

2.32

Step-by-step explanation:

Given the data:

3, 8, 1, 4, 7

The mean absolute deviation (MAD) :

Σ|x - m| / n

Mean, m = Σx / n

Σx = 23

n = 5

Mean, m = 23 / 5 = 4.6

|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|

(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5

= 2.32

It can be deduced that the addition of -3 and 4 will be 1.

It can be deduced that the addition of -3 and 4 will be;

= -3 + 4

= 1

When the winning score in golf is the lowest number, the lowest number is -1.

The value of the expression -273 - (-576) will be:

= -273 - (-576)

= -273 + 576

= 303

Also, -56/4 = -14. The value of the expression (2 - 19) + (-12) will be:

= (2 - 19) + (-12)

= -17 - 12

= -29

The value of -2x = 22 will be:

-2x = 22

Divide both side by -2

-2x/-2 = 22/-2

x = -11

The value of 5 + 3x = -22 will be;

5 + 3x = -22

5x = - 22 - 5

3x = -27

x = -27/3 = -9

5(x + 3) = 35

5x + 15 = 35

5x = 35 - 15

5x = 20.

5x/5 = 20/5

x = 4

The median is the number in the middle when arranged in ascending or descending order. Therefore, the median will be 7.1

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Answer:

The first line

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x-3)^2+(y-8)^2 = 25[/tex]

The equation of circle: (x - 3)² + (y - 8)² = 25

An equation of circle with center (h, k) and radius 'r' is,

(x - h)² + (y - k)² = r²

For given example,

a diameter of circle = 10 units

So, the radius would be (r) = 10/2

r = 5 units

And the center (h, k) = (3, 8)

So, the equation of the circle would be,

⇒ (x - 3)² + (y - 8)² = 5²

⇒ (x - 3)² + (y - 8)² = 25

Therefore, the equation of circle: (x - 3)² + (y - 8)² = 25

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The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.

Two or more expressions with an Equal sign is called as Equation.

Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.

We need to find those two numbers.

Let x and y are the two numbers.

Sum of two numbers is 17

x+y=17..(1)

Difference of two numbers is 3

x-y=3..(2)

From equation 1,

x=17-y

Now substitute this in equation 2.

17-y-y=3

17-2y=3

17-3=2y

14=2y

Divide both sides by 2

y=7

Now add y value in equation 1

x+7=17

Subtract 7 from both sides

x=10

Hence, the two numbers are 7 and 10.

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Answer:

The answer is D.

Step-by-step explanation:

It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.

Answer:

B

Step-by-step explanation:

B is an equation, not an expression

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Hope this helps

Answer:

i think it is 60 cm2

Step-by-step explanation:

Answer:

[tex]\angle c[/tex] and [tex]\angle e[/tex]

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Using the keynote as a reference, we have the following observation from the attachment:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite

[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent

Hence:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical

(d) is correct

Answer:

1. 48$

2. 72$

3. Positive

4. Every 5 hours, his earnings increase by 24$.

Step-by-step explanation:

All information gathered is from looking at the graph :)

Answer:

its not bounded

Step-by-step explanation:

if a sequence is bounded both above and bounded below then we say its bounded. we can only conclude that 3.115 is either upper bound or the lower bound.

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Answer:

[tex] log(2x) = {2}^{x} \\ ln \: \times log = ln( {2}^{x} ) \\ 1 = x ln(2) \\ x = \frac{1}{ ln(2) } [/tex]

Answer:

-3

Step-by-step explanation:

Slope going down.

From point (-2,3) to (-1,0): Down 3, Over 1 (-3/1)

Answer:

1.2 cups

Step-by-step explanation:

Divide the total cups (2.4) by the amount of pies (2)

2.4/2 = 1.2 cups of sugar per pie

Hopefully this helps - let me know if you have any questions!

Answer:

A = $15,696.72

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r/n)^(nt).  Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.

Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:

A = $11,499(1 + 0.0052)^60, or

A = $15,696.72

The monthly payment is $15,696.72/60, or $261.61.

Answer:

x=2, y= 4

Step-by-step explanation:

Equation 1 is 2x-4y = -12

Equation 2 is 2x+y = 8

Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).

Simplifying we get -5y = -20 and y =4

Substituting y =4 into original equation back we get 2x -4(4) =-12

This equals 2x -16 =-12 and 2x = 4 and x =2

8 3/4 + 9 5/9 Add 8 and 9

17 + 3*9/4*9 + 5*4/9*4 Find common denominator

17 + 27/36 + 20/36 Add

17 + 47/36 Convert into mixed fraction

17 + 1 11/36 Simplify mixed fraction

18 11/36. Answer

If you need the decimal form, it is 18.31. But other than that, the answer is 18 11/36.

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

Answer:

(6x + 7y)(6x - 7y)

Step-by-step explanation:

36x² - 49y²

= (6x)² - (7y)²

= (6x + 7y)(6x - 7y)

In this question we used the identity-

a² - b² = (a + b)(a - b)

Answer:

Its A, B, and D.

Step-by-step explanation:

The Tet Offensive considered a turning point in the Vietnam War because:

Troops from the United States and South Vietnam targeted North Vietnamese and Viet Cong hideouts in Cambodia and Laos.

Although being a military defeat, the Tet Offensive was a stunning propaganda win for communists. In fact, it is frequently regarded for changing the tide of the war in their favour.

As Viet Cong rebels invaded rural areas previously held by the South Vietnamese government, the South Vietnamese began to lose authority.

Despite tremendous deaths, North Vietnam secured a strategic triumph with the Tet Offensive, which represented a watershed moment in the Vietnam War and the start of the protracted, agonising American withdrawal from the region.

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Answer:

36

Step-by-step explanation:

The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

percentage, a relative value indicating hundredth parts of any quantity.

The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.

The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.

The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.

Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.

r = (18,000/20,000) - 1 = -0.1

So the percent change per year is -10%, which means that statement A is true.

Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

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