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Figure BBB is a scaled copy of Figure AAA.


What is the scale factor from Figure AAA to Figure BBB?

The function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

To determine the end behavior:

[tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

Therefore, the function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

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The complete question is given below:

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.

As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answer:

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

Step-by-step explanation:

I got it right on the test.

The component form of the vector that translates the top triangle to the bottom triangle is (3, -5). This is further explained below.

Generally, a number with both direction and magnitude, especially when used to map out where one point in space is in relation to another.

In conclusion, The vector that converts the top triangle to the bottom triangle has the following component form: (3, -5).

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Answer:

Area = 113.04 in^2

Step-by-step explanation:

you have the diameter which is twice the radius, the formula is in the question:

Area = πr^2

so

12: 2 = 6 (RADIUS)  

Area = π6 ^ 2 =

Area = π 36 in^2

Area = 3.14 * 36

Area = 113.04 in^2

The surface area of the rectangular prism is 3668.94 m²

From the question, we are to determine the surface area of the rectangular prism

Surface area of a rectangular prism is given by the formula,

Surface area = 2(lw + lh + wh)

Where l is the length

w is the width

and h is the height

From the given diagram,

l = 35.7 m

w = 25.5 m

h = 15.1 m

Putting the parameters into the formula, we get

Surface area = 2(35.7×25.5 + 35.7×15.1 + 25.5×15.1)

Surface area = 2(910.35 + 539.07 + 385.05)

Surface area = 2(1834.47)

Surface area = 3668.94 m²

Hence, the surface area of the rectangular prism is 3668.94 m²

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Answer:

The solution is x < 3. To represent that on a number line, you'd have an open (not filled in) circle on 3 and shading to the left.

Step-by-step explanation:

You would only have a closed (solid/filled in) circle if the inequality had a ≤

let's firstly convert the mixed fractions to improper fractions and them proceed.

[tex]\stackrel{mixed}{6\frac{1}{7}}\implies \cfrac{6\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{43}{7}} ~\hfill \stackrel{mixed}{3\frac{5}{9}}\implies \cfrac{3\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{32}{9}} \\\\\\ \stackrel{mixed}{4\frac{1}{6}}\implies \cfrac{4\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{25}{6}} ~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ ~~ \frac{6\frac{1}{7}}{x}+3\frac{5}{9} ~~ }{4\frac{1}{6}}~~ = ~~1\frac{1}{3}\implies \cfrac{ ~~ \frac{ ~~ \frac{43}{7} ~~ }{x}+\frac{32}{9} ~~ }{\frac{25}{6}}~~ = ~~\cfrac{4}{3}\implies \cfrac{ ~~ \frac{43}{7x}+\frac{32}{9} ~~ }{\frac{25}{6}}~~ = ~~\cfrac{4}{3}[/tex]

[tex]\cfrac{43}{7x}+\cfrac{32}{9}~~ = ~~\cfrac{25}{6}\cdot \cfrac{4}{3}\implies \cfrac{43}{7x}+\cfrac{32}{9}~~ = ~~\cfrac{50}{9}\implies \cfrac{43}{7x}~~ = ~~\cfrac{50}{9}-\cfrac{32}{9} \\\\\\ \cfrac{43}{7x}~~ = ~~\cfrac{18}{9}\implies \cfrac{43}{7x}=2\implies 43=14x\implies \cfrac{43}{14}=x\implies 3\frac{1}{14}=x[/tex]

a. The value of n is 3/2

b. The value of a is 8.

c. The value of p is 125

The curve is an exponential function

An exponential function is a function of the form y = axⁿ where a and n are constants

Since y = axⁿ where a and n are constants, passes through the points (2.25, 27), (4, 64) and (6.25, p), substituting these points into the equation, we have

y = axⁿ

27 = a(2.25)ⁿ  (1)

64 = a(4)ⁿ        (2)

P = a(6.25)ⁿ     (3)

Dividing (2) by (1), we have

64/27 = a(4)ⁿ/a(2.25)ⁿ

4³/3³ = (4 ÷ 2¹/₄)ⁿ

4³/3³ = (4 ÷ ⁹/₄)ⁿ

4³/3³ = (4 ×  4/9)ⁿ

4³/3³ = (16/9)ⁿ

4³/3³ = (4²/3²)ⁿ

(4/3)³ = (4/3)²ⁿ

Equating exponents, we have

2n = 3

n = 3/2

The value of n is 3/2

Using equation (2)

64 = a(4)ⁿ        

a = 64/(4)ⁿ        

substituting n = 3/2 into the equation, we have

[tex]a = \frac{64}{4^{\frac{3}{2} } } \\= \frac{64}{(\sqrt{4 } )^{3} } \\= \frac{64}{2^{3} } \\= \frac{64}{8} \\= 8[/tex]

So, the value of a is 8.

Using equation (3), we have

P = a(6.25)ⁿ     (3)

substituting the values of a and n into the equation,we have

[tex]P = 8(6.25)^{\frac{3}{2} } \\= 8(\sqrt{6.25}) ^{3} \\= 8(2.5}) ^{3} \\= 8(15.625})\\= 125[/tex]

The value of p is 125

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The equation for the variable 'c' is c = d(q² + 1)/(q² - 1). By using simple arithmetic operations on the original equation, the required equation can be obtained.

An equation is a relationship between two expressions given by a mathematical statement.

There are different types of equations. They are linear equations, quadratic, polynomial, etc.

The given equation is

q = √((c + d)/(c - d))

Squaring on both, root gets canceled out

⇒ q² = (c + d)/(c - d)

⇒ q²(c - d) = (c + d)

⇒ cq² - dq² = c + d

Separating like terms  aside,

cq² - c = d + dq²

⇒ c(q² - 1) = d(q² + 1)

⇒ c = d(q² + 1)/(q² - 1)

Therefore, the required equation is c = d(q² + 1)/(q² - 1).

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Answer:

A is the answer

[tex]x = \frac{1}{48} [/tex]

The total surface area is 1308 meters square

From the question, we have the following dimensions

Length = 19 m

Width = 16 m

Height = 10 m

The total surface area is then calculated as:

Total surface area = 2 * (Length * Width + Width * Height + Length * Height)

Substitute the known values in the above equation

Total surface area = 2 * (19 * 16 + 16 * 10 + 19 * 10)

Evaluate the expression

Total surface area = 1308

Hence, the total surface area is 1308 meters square

The question is incomplete, and the resources cannot be found online.

So, I used the attached figure to answer the question

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Answer:1,238yd squared

Step-by-step explanation:

Answer:

9/50

Step-by-step explanation:

We simply divide the pizza we have (9/10) by the number of friends (5):

9/10 : 5 = 9/50

Answer:

4

Step-by-step explanation:

The part of the function that is (2x - 1)² has a minimum value of 0. The reason is that any real number you for x will give you a positive, negative, or zero value for 2x - 1. When you square it, you must get a non-negative answer.

Then you add 4, and you get a value that is greater than or equal 4.

Answer:

y=1

Step-by-step explanation:

Since you already found x,

We will only be needing one equation to find y..

I will take equation two: 3(2)+2y=8

Step Two: 6+2y=8 (then you minus 6 on each side)

Step Three: 2y=2 (divide)

y=1

The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x  - 4x³√10x

The complete question is added as an attachment

From the attached figure, the product expression is:

2√8x³(3√10x⁴ - x√5x²)

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) =  2 *2x√2x(3x²√10 - x²√5)

Evaluate the products

2√8x³(3√10x⁴ - x√5x²) =  4x√2x(3x²√10 - x²√5)

Open the bracket

2√8x³(3√10x⁴ - x√5x²) =  12x³√20x  - 4x³√10x

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 24x³√5x  - 4x³√10x

Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x  - 4x³√10x

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Answer:

Second option

Step-by-step explanation:

edge

Answer:

is 54, 45, 36, 27, 18

Step-by-step explanation:

Recursive formulas give us two pieces of information:

1. The first term of the sequence

2. The pattern rule to get any term from the term that comes before it

In the formula given,

n is any term number

f(n) is the nth term

This means

f(1) is the first term

f(f-1) is the term before the nth term

To find the first five numbers in this arithmetic sequence, we know the formula has given us these two pieces of information:

1. The first term is 54

2. The rule to get any term from its previous term is -9

So, we know the sequence for this formula is 54, 45, 36, 27, 18 because starting off with 54, then minus 9 from every sum gives us the following equations

54-9=45

45-9=36

36-9=27

27-9=18

Eliminate [tex]y[/tex].

[tex]u + v = (3x - 4y) + (x + 4y) = 4x \implies x = \dfrac{u+v}4[/tex]

Eliminate [tex]x[/tex].

[tex]u - 3v = (3x - 4y) - 3 (x + 4y) = -16y \implies y = \dfrac{3v-u}{16}[/tex]

The Jacobian for this change of coordinates is

[tex]J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} \dfrac14 & \dfrac14 \\\\ -\dfrac1{16} & \dfrac3{16} \end{bmatrix}[/tex]

with determinant

[tex]\det(J) = \dfrac14\cdot\dfrac3{16} - \dfrac14\cdot\left(-\dfrac1{16}\right) = \dfrac1{16}[/tex]

By applying Pythagoras theorem, the missing segment lengths of this triangles include:

Since triangle ACD is a right-angle triangle, we would use Pythagoras theorem to find the missing segment lengths of this triangles as follows:

c² = a² + b² ≡ AD² = CD² + AC²

Next, we would use cos trigonometric ratio to find side CD,

cos45 = adjacent/hypotenuse

cos 45 = CD/20

1/√2 = CD/20

CD = 1/√2 × 20

CD = (20√2)/2

CD = 10√2

For side AC, we have:

AD² = CD² + AC²

AC² = AD² - CD²

AC² = 20² - (10√2)²

AC² = 400 - 100(2)

AC = √200

AC = 10√2

From triangle ABC, we have:

cos45 = BC/10√2

BC = 10√2 × cos45

BC = 10√2 × 1/√2

BC = (10√2)/√2

BC = 10

For side AB, we have:

AB² = (10√2)² - 10²

AB² = 200 - 100

AB² = 100

AB = 10.

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The coordinates of point F are (15/4 , -5/2)

From the image attached:

AB divided into 4 similar parts, hence

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1)  and B (x2 , y2), Then  x = (x1 + x2)/2 and that of  y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then  E =[(-3 + 6)/2, (-1 + -3)/2]

         = (3/2 , -2)

Since  F is the mid-point of EB,

         E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

       = (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then  D = [(-3 + 3/2)/2 , (-1 + -2)/2]

           = (-3/4 , -3/2)

Note also that:

 BC is said to be an  horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then  y-coordinate of G is =  -3

Since DG ⊥ BC

Then DG =  vertical segment

So  G has similar x-coordinate of D

Then  The x-coordinate of G = -3/4

The  G = (-3/4 , -3)

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The correct statement regarding the logarithmic functions is:

C The x-intercept of k(x) is greater than the x-intercept of j(x).

A composite logarithmic function f(x) = log(g(x)) has the domain of g(x) > 0.

For the function j(x), we have that it is at:

x + 5 = 0

x = -5.

For the function k(x), we have that it is at x = 5 from the graph.

For the function j(x), we have that:

log(x + 5) - 1 = 0

log(x + 5) = 1

10^[log(x + 5)] = 10^1

x + 5 = 1

x = -4.

For k(x), from the graph, it is at x = 6, hence option C is correct.

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Answer:

(6, 1)

(1, 3)

(-7, 6)

Step-by-step explanation:

To have a function, each value used for x can appear only once.

The first set of points has as x: 1, -7, -3.

The only choice without 1, -7, or -3 for x is (6, 1)

The second set of points has as x: 2, 6, -7.

The only choice without 2, 6, or -7 for x is (1, 3)

The third set of points has as x: 1, -3, 6.

The only choice without 1, -3, or 6 for x is (-7, 6)

Answer:

8.5 g/cm^3

Step-by-step explanation:

Density = mass/volume

          = 34 g / 4 cm^3 =  8.5 g/cm^3

Answer:

8.5 grams per cubic centimeter.

Step-by-step explanation:

Density = mass / volume

             =  34 / 4

             = 8.5 grams / cubic centimeter.

Answer:

y-intecept: (0,14), x-intercept: (-8,0)

Step-by-step explanation:

Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.

[tex]-7x+4y=56\\4y=56+7x\\y=14+\frac{7}{4}x\\y=\frac{7}{4}x+14\\[/tex]

Now we have our y-intercept, 14

To solve for the x-intercept, all we have to do is set y to 0 and solve for x:

[tex]0=\frac{7}{4}x+14\\-14=\frac{7}{4}x\\-56=7x\\-8=x[/tex]

Therefore our x-intercept is -8.

To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).

For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)

Answer:

Below in bold.

Step-by-step explanation:

Minimum 24

Lower quartile 29

Median  43

Upper quartile = (49 + 51) / 2 =  50

Maximum = 56

Interquartile range =  50-29 = 21.

Answer:

8.5

Step-by-step explanation:

4 + (6)(6)/8=

17/2 = 8.5

Answer:

8.5

Step-by-step explanation:

6 x 6 = 36/8 = 4.5 + 4 = 8.5

Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

The five-number summary and the interquartile range for the data set are given as follows:

In this problem, we have that:

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The steps to solve the inverse variation will be:

The example will be y varies inversely with x and y = 2 when x = 5. Find y when x = 30

Step 1: Write the variation equation: y = k/x or k = xy:

k = xy

Step 2: Substitute in for the given values of x and y:

k = (2)(5) = 10

Step 3: Rewrite the variation equation: y = k/x with the known value of k (10):

y = 10/x

Step 4: Substitute the remaining values and find the unknown:

y = 10/30

y = 1/3

Therefore, y is 1/3 when x is 30.

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Answer:

67

Step-by-step explanation:

All triangles have three angles. The sum of the three angles should equal up to 180 degrees.

108-104-37= 67