Which explains how to find the quotient of the division below? Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction Write Negative 3 and one-third as Negative StartFraction 13 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 13 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 9 and three-fourths. Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 7 and StartFraction 6 over 12 EndFraction = Negative 7 and one-half. Write Negative 3 and one-third as Negative StartFraction 9 over 3 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 9 over 3 EndFraction times StartFraction 4 over 9 EndFraction. The quotient is Negative 1 and one-third. Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 4 over 9 EndFraction. The quotient is Negative 1 and StartFraction 13 over 27 EndFraction = Negative 1 and StartFraction 13 over 27 EndFraction.

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

Answer: (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Step-by-step explanation:

From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch

Then, the volume of the container would be [tex]11\times6\times3= 198 \ in^3[/tex]

Then, the ratio of cubic inches per cookie would be

[tex]=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}[/tex]

So, the the ratio of cubic inches per cookie would be [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Hence, the correct option is (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Answer:

48%

Step-by-step explanation:

12 out o 25 are broken

so, 12/25 = .48 * 100 = 48%

Hope this helps!

Answer:

The answer to this question is 48% is broken

Answer:

  none

Step-by-step explanation:

We assume you intend positive rational bases.

[tex]663_b[/tex] is divisible by 3, so cannot be prime.

Answer:

x>3

Step-by-step explanation:

2x + 10 < 5x + 1

Add -5x and -10 on both sides of the inequality.

2x + 10 -10 -5x < 5x + 1 -5x -10

2x -5x < 1 -10

Subtract like terms.

-3x < -9

Multiply -1 and reverse the inequality.

3x>9

Divide 3 into both sides of the inequality.

3x/3>9/3

x>3

Answer: x > 3

Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.

Next, put your numbers together on the right by

subtracting 10 from both sides and we have -3x < -9.

To get x by itself, divide both sides by -3, but watch out.

If you multiply or divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

Please give this idea your full attention.

Even the most advanced algebra students will sometimes forget to

switch the direction of the inequality sign when multiplying or

dividing both sides of an inequality by a negative.

So we have x > 3 as our answer.

I have graphed the solution below.

Answer:

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.

hope that helps love!

Answer:

D

Step-by-step explanation:

Answer:

6^21 = B

Step-by-step explanation:

[tex][6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\[/tex]

Answer:

B

Step-by-step explanation:

When solving exponents with parenthesis around the base + sub exponent, always multiply the two exponents. Basically, when the two exponents are right next to each other, you multiply them. When you multiply 7 and 3, you get 21; therefore, the answer is 6 to the power of 23.

Answer:

Given expression is [tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}[/tex] = 2tan²A

We have to prove this identity.

[tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}=\frac{(\text{cosecA+1})-(\text{cosecA-1})}{(\text{cosecA-1})(\text{cosecA+1})}[/tex]

                              = [tex]\frac{(\text{cosecA}-\text{cosecA})+(1+1)}{cosec^2A-1}[/tex]

                              = [tex]\frac{2}{cosec^{2}A-1}[/tex]

                              = [tex]\frac{2}{cot^{2}A}[/tex] [From the identity, (cosec²A - 1) = cot²A]

                              = 2tan²A [From the identity, cotA = [tex]\frac{1}{\text{tan}A}[/tex]]

Hence the given equation is proved.

Answer:

Step-by-step explanation:

f(x)=4x+1

g(x) = x^2-5

(f*g)(x) = 4x^3+x^2-20x-5

Answer:

B

Step-by-step explanation:

Answer:

Edge length of the cube = 27 m

Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

Step-by-step explanation:

The box contains 15 identical cubes therefore, we have

Edge length of cube = Side, s, of cube

15 × s³ = 295245 m³

∴ s³ = 295245/15 = 19683 m³

s = ∛19683 = 27 m

Hence the edge length of the cube = 27 m

The dimension of the box is length =  5 × 27 = 135 m

Width = 3 × 27 = 81 m

height = 27 m.

Answer: B

[tex]=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}1&3\\ -2&5\end{pmatrix}\begin{pmatrix}-2&1\\ 3&4\end{pmatrix}=\begin{pmatrix}1\cdot \left(-2\right)+3\cdot \:3&1\cdot \:1+3\cdot \:4\\ \left(-2\right)\left(-2\right)+5\cdot \:3&\left(-2\right)\cdot \:1+5\cdot \:4\end{pmatrix}=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]

[tex]\frac{3-5x}{-4}[/tex]

[tex]\frac{3+-5x}{-4}[/tex]

[tex]\frac{-5x+3}{-4}[/tex]

[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]

[tex]\frac{5x-3}{4}[/tex]

Step-by-step explanation:

For instance, though not like terms, subtract

5-3/4= 2/4= 1/2

3-5/-4= -2/-4, -ve plus -ve hence +ve

+ve 1/2

They are the same

Answer:

Surface area of the given prism = 63 square feet

Step-by-step explanation:

Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles

Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)

                                        = 3 × 3

                                        = 9 square ft

Area of one vertical rectangular face = (Length × Width)

                                                             = (3 × 6)

                                                             = 18 square feet

Area of all vertical sides = 3 × 18 = 54 square feet

Total surface area = 9 + 54 = 63 square feet

Answer:

2.25 +3/4x = y

Step-by-step explanation:

2.25 +3/4x = y

Solution,

Principal (P)=$200

Time(t)=3 years

Rate(R)=7.5%

Now,

Simple Interest=PTR/100

=200*3*7.5/100

=4500/100

= $45

Hope it helps

good luck on your assignment

Answer:

u = 9  and u = -9

Step-by-step explanation:

u^2 = 81

Take the square root of each side

sqrt(u^2) =± sqrt(81)

u = ±9

Answer:

Brainliest!!!

Step-by-step explanation:

[tex]\sqrt{81}[/tex] or ±9

they both equal the equation u^2 = 81

Answer:

x = 52y

Step-by-step explanation:

Answer:

x = -6/7

Step-by-step explanation:

5 – 6x = 8x + 17

-5                 - 5           Subtract 5 from both sides

-6x = 8x + 12

-8x   - 8x                     Subtract 8x from both sides

-14x = 12                      Divide both sides by -14

x = -12/14                     Simplify

x = -6/7

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

Answer:

The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.

Answer:

-9s2 + 4s -2

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)=

(-6s2-3s2) +12s-8s -8+6=

-9s2 + 4s -2

Answer:

[tex]-9s^2+4s-2[/tex]

Step-by-step explanation:

Answer:

The possible y-coordinate of point C is 6

Step-by-step explanation:

The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.

Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.

The area of a triangle = 1/2 × base × height

6 = 1/2 × 3 × height

height = (2 × 6) / 3 = 4 units

Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2

The coordinate of point C is either (-1, 6) or (-1, -2)

The coordinate of point C is either (-1, 6) or (-1, -2)

The formula for calculating the area of a rectangle is expressed as;

where:

Get the height of the triagle:

6 = 0.5(3)h

6 = 1.5h

h = 6/1.5

h = 4 units

Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2

Hence the coordinate of point C is either (-1, 6) or (-1, -2)

Learn more on area of triangle here: https://brainly.com/question/17335144

[tex]364 \times 3[/tex]

[tex]= 1092[/tex]

Answer:

4 mujeres en la empresa

Step-by-step explanation:

Answer: c - 10

Step-by-step explanation:

Feom the question, we are told to wrote an expression that can be used to represent the following situation: 10 dollars less than catilian.

The first thing that we need to do is to represent catilian by an alphabet.

Let catilian be denoted by c.

Since we are told that 10 dollars is less than catilian. The expression will be:

= c - 10

Answer:

f(x)=2e^x

Step-by-step explanation:

graphic calculator