Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.

How much space does Lacey's mom cover in frosting?

The complex number in rectangular form z = (5√3 / 4) - i 5/4 is equivalent to the complex number in polar form z = 5/2 · (cos 11π/6 + i sin 11π/6). (Correct choice: C)

Complex numbers are elements of the form z = a + i b, where [tex]a, b \in \mathbb{R}[/tex]. In other words, represents a generalization from real numbers. The polar form of a complex number is shown below:

[tex]z = r\cdot (\cos \theta + i \,\sin \theta)[/tex]     (1)

Where:

The norm is determined by Pythagorean theorem and the direction by inverse trigonometric reason. If we know that z = (5√3 / 4) - i 5/4, then its polar form is shown below:

Norm

[tex]r = \sqrt{\left(\frac{5\sqrt{3}}{4} \right)^{2}+\left(-\frac{5}{4} \right)^{2}}[/tex]

r = 5/2

Direction

[tex]\theta = \tan^{-1} \left[\frac{\left(-\frac{5}{4} \right)}{\left(\frac{5\sqrt{3}}{4} \right)} \right][/tex]

θ = 11π/6 rad

Thus, the complex number in rectangular form z = (5√3 / 4) - i 5/4 is equivalent to the complex number in polar form z = 5/2 · (cos 11π/6 + i sin 11π/6).

To learn more on complex numbers: https://brainly.com/question/10251853

#SPJ1

Answer:

x=4

Step-by-step explanation:

Based on the given conditions, formulate: 

x+8=3×x

Rearrange unknown terms to the left side of the equation:

x-3x=-8

Combine like terms:-2x=-8

Divide both sides of the equation by the coefficient of variable:x=-8/-2

Rewrite the fraction:8/2

Cross out the common factor:x=4

get the result:x=4

Answer: 4

The language arts function has the greater slope. Then the correct option is C.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.

The table is shown below.

The slope of math will be

Slope of math = (207 - 87)/ (65 - 25)

Slope of math = 120/40

Slope of math = 3

The slope of language arts will be

Slope of language arts = (248 - 88)/(60 - 20)

Slope of language arts = 160/40

Slope of language arts = 4

The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:D-The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

so you basically make an equation like this:

4*4(5+7)

4*4(12)

4*48

=192

The following recurring decimal as a rational number are 1/2, 13/100 and 341 / 1000

A rational number is a number that is expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator such as;

3/4. where,

Therefore,

0.5

= 5/10

= 1/2

0.13

= 13/100

0.341

= 341 / 1000

Learn more about rational number:

https://brainly.com/question/12088221

#SPJ1

Answer:

(3, 5) (3, 2) , (5, 2)

Step-by-step explanation:

Analysis:

(1) Translate square A two squares right

(a, b) ⇒ ( a + 2, b)

{ (1, 4)          {(3, 4)

{ (1, 1)   ⇒   { (3, 1)

{ (3, 1)         {  (5, 1)

(2) ... one square up:

(a, b) ⇒ (a, b + 1)

{ (3, 4)           { (3, 5)

{ (3, 1)    ⇒    {  (3, 2)

{   (5, 1)       {      (5, 2)

Answer:

I think the greatest x- intercept is f(x)=3x-9

Answer:

Point Q best represents the square root of 10.

Answer:

second 0ne

Step-by-step explanation:

3×-1+-2 ×0

3×0+-2×3

Answer:

4x+2

Step-by-step explanation:

a= 2x - 3 and b= 2x+5

a+b = 2x-3 + 2x+5

Combine like terms

a+b = 4x+2

Answer:

a + b = 4x + 2

Step-by-step explanation:

a = 2x - 3

b = 2x + 5

a + b = (2x-3) + (2x+5)

a + b = 2x + 2x - 3 + 5

a + v = 4x + 2

Answer:

2.7m

Step-by-step explanation:

1.0m

0.5m

+1.2m

2.7m - answer

Answer:

Step-by-step explanation:

Find out the  how much chlorine is in the pool .

To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

The pool has 2.5 milligrams of chlorine per liter of water.

i.e

2.5 milligrams of chorine = 1 litre of water

There are 8000 gallons of water in the swimming pool.

As 1 gallons = 3.78541 litre (Approx)

Now convert 8000 gallons of water in litres.

8000 gallons = 8000 × 3.78541 litre

                     = 30283.28 litres

Now calculate chlorine in the pool for 30283.28 litres  of waters.

As

2.5 milligrams of chlorine = 1 litre of water

2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water

75708.2 milligrams of chlorine for 30283.28 litre of water .

Answer:

Negative correlation

Step-by-step explanation:

As one value increases when the other one decreases, we can say the correlation is a negative correlation.

Answer:

(p -3q )(p -3q  )

Step-by-step explanation:

p'2 - 6pq + 9q'2

(p -3q )(p -3q  )

find two values that add to give 6 and multiply to 9

p x p =p'2

-3q x p = -3pq   -3 x pq = -3pq    ...... -3pq - 3pq = -6pq

-3q x - 3q = 9q'2

Answer:

It would be 30.

Step-by-step explanation:

If we make a list of all the sums that we can get, we have:

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.

That gets us to 15x2 which is 30.

The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

I have a bag with 6 marbles numbered from 1 to 6.

Mathew has a bag with 12 marbles numbered from 1 to 12.

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways,

Since order matters, and we could do 2+1 instead of 1+2.

15 x 2 which is 30.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

Answer:

first 2 options and 5th option are true

Step-by-step explanation:

locate y = - 4 on the y- axis. then a horizontal line through y = - 4 intersects the curve at x = - 2 and x = 1

----------------------------------------------------------

the axis of symmetry is a vertical line through the vertex with equation

x = c ( c is the value of the x- coordinate of the vertex )

vertex = ( - [tex]\frac{1}{2}[/tex], - 6 )

equation of axis of symmetry is x = - [tex]\frac{1}{2}[/tex]

------------------------------------------------------------

the minimum value is the y- coordinate of the vertex

that is the minimum value of f(x) is - 6

------------------------------------------------------------

given a parabola in standard form

ax² + bx + c ( a ≠ 0 )

• if a > 0 then graph opens up

• if a < 0 then graph opens down

Here the graph opens up , then coefficient of f(x) is positive

-------------------------------------------------------------

the solutions to f(x) = 0 are the values of x on the x- axis where the graph crosses.

the solutions are x = 2 and x = - 3

Answer:

the answer is 32,768 hopes this helps

Step-by-step explanation:

8^5 = 8x8x8x8x8 = 64x8x8x8= 64x64x8 = 4096x8= 32,768

Answer:

1 quart is equal to 4 cups

Step-by-step explanation:

4 cups is equivalent to __1__ quart

Answer:

55 minutes

Step-by-step explanation:

add 35 to 11:25 should equal to 12AM then add 20 to it should give you the answer of 12:20AM combining the 35 and 20 should give you 55

Answer:

55 Minutes

Step-by-step explanation:

Assuming the start time is on the previous day, the time between 11:25:00 PM and 12:20:00 AM is:

0 hour, 55 minutes, and 0 second

0.917 hour

55 minutes

3,300 seconds

Hope this helps!

The probability that a student, chosen at random, does not study chemistry is 20/41.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Here, Total number of student = 41

         Student who does not study chemistry = 20

So, the probability = favorable outcome / total outcomes

             P(not studying chemistry) = 20 / 41

Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.

Learn more about Probability from:

https://brainly.com/question/11234923

#SPJ1

Answer:

Answer C is correct

Step-by-step explanation:

1. We replace x as (a + 2)

2. Then we just rewrite this function with the new value

3. Result: 3(a+2) + 5/(a+2)

The area of this trapezoid is A = 55

We know that the application formula for calculating the area of a trapezoid is given by:

[tex] \boxed{ \large \sf A = \dfrac{(b + b) \times h}{2} } \\ \\ [/tex]

⚘ Then, the resolution will be:

[tex]{ \large \sf A = \dfrac{(7 + 15) \times 5}{2} } [/tex]

[tex]{ \large \sf A= \dfrac {22 \times 5}{2} } [/tex]

[tex]{ \large \sf A= \dfrac {110}{2} } [/tex]

[tex]\pink{ \boxed{ \purple{ \boxed{ \large \sf A= 55 }}}} \\ \\ [/tex]

Therefore, the area of this trapezoid will be, A = 55

Answer: 200 pi

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

(33/60) * 100

leave a comment if u need further explanation

Answer:

Slope is 1

Step-by-step explanation:

use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]

m= [tex]\frac{-5+4}{0-1}[/tex]

[tex]\frac{-1}{-1}=1[/tex]

m=1

Hope this helps!

If not, I am sorry.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of

[tex]\star\mathrm{(1,-4)}[/tex]

[tex]\star\mathrm{(0,-5)}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's the slope formula:

[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

Input the values, which are:

y2=-5

y1=-4

x2=0

x1=1

[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]

Simplify!

[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]

[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]

[tex]\star\boxed{\mathrm{1}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]

Answer:

whos courtney

Step-by-step explanation:

whos courtney??

A larger error variance making it difficult to estimate the partial effect of any of the independent variables on the dependent variable is True.

This is used to measure how far a data is spread out and the effect independent variables has on the dependent ones.

When there is an error in the variance, the effect calculated is inaccurate which brings about difficulty in ascertaining it.

Read more about Variance here https://brainly.com/question/15707019

#SPJ1

[tex]~~~~\dfrac{d}{dx} \left( \sqrt[5]{1+x} \right)\\\\\\=\dfrac{d}{dx} (1+x)^{\tfrac 15}\\\\\\=\dfrac 15 \left(1 + x\right)^{\tfrac 15 -1} \cdot \dfrac{d}{dx}(1+x)\\\\\\=\dfrac 15 (1+x)^{-\tfrac 45} \cdot(0+1)\\\\\\=\dfrac{1}{5(1+x)^{\tfrac 45}}[/tex]