Phil started a taco stand. it cost him $500 to open the taco stand. He sells the tacos all at the same price. The taco stand Break Even $0 profit when he sells 200 tacos. Graph a line that represents the taco stands profit as a function of the number of tacos Phil...

I assume you're talking about finding the square roots of 2i.

We have

• modulus: |2i| = √(2²) = 2

• argument: arg(2i) = π/2

so that the polar form of 2i is

2i = 2 exp(i π/2)

By DeMoivre's theorem,

√(2i) = √2 exp(i (π/2 + 2πk)/2)

where k = 0 or k = 1.

For k = 0,

√(2i) = √2 exp(i (π/2)/2)

… = √2 exp(i π/4)

… = √2 (cos(π/4) + i sin(π/4))

… = √2 (1/√2 + 1/√2 i)

… = 1 + i

For k = 1,

√(2i) = √2 exp(i (π/2 + 2π)/2)

… = √2 exp(i 5π/4)

… = √2 (cos(5π/4) + i sin(5π/4))

… = √2 (-1/√2 - 1/√2 i)

… = -1 - i

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

9514 1404 393

Answer:

  351.48 cm²

Step-by-step explanation:

Heron's formula can be used to find the area from three side lengths.

  A = √(s(s -a)(s -b)(s -c)) . . . . where s=(a+b+c)/2

  s = (30 +30 +26)/2 = 43

  A = √(43(43-30)(43-30)(43-26)) = √(43(13)(13)(17)) = √123,539

  A ≈ 351.48 . . . square centimeters

The percent of the original price you end up paying is 42%.

Let's assume that the original price of an item is $100

The first discount of 25% off would reduce the price by:

25% of $100 = $25

So the sale price after the first discount is:

$100 - $25 = $75

Then, the store is offering an additional discount of 45% off on the clearance items.

The discount is removed from the sale price after the first discount:

45% of $75 = $33

So the final sale price after both discounts is:

$75 - $33 = $42

Therefore, you end up paying $42 for an item that originally cost $100. This is equivalent to paying:

($42 / $100) x 100% = 42% of the original price.

Hence, the percent of the original price you end up paying is 42%.

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The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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Answer:

answer C

Step-by-step explanation:

hello

because this is not allowed to divide by 0 I would take x real different from 0 and from -5/4

\(\dfrac{8x^3-10x^2-25x}{4x^2+5x}=\dfrac{x(8x^2-10x-25)}{x(4x+5)}=\\\dfrac{8x^2-10x-25}{4x+5}=\dfrac{(4x+5)(2x-5)}{4x+5}=2x-5\)

indeed if we develop

\((4x+5)(2x-5)=8x^2-20x+10x-25=8x^2-10x-25\)

hope this helps

do not hesitate if you have any question

Answer:

C. 2x-5

Step-by-step explanation:

8x^3−10x^2−25x

4x^2+5x

=

8x^3−10x^2−25x

4x^2+5x

=

8x^2−10x−25

4x+5

=

(4x+5)(2x−5)

4x+5

=2x−5

QRST is a Rhombus, then:

Rhombus is a parallelogram with all congruent sides. Rhombus' diagonals are perpendicular and bisects its angles. Rhombus has 4 congruent right angles created from its perpendicular diagonals and form 2 pairs of two congruent isosceles triangle.

RT bisects of QRS because every diagonals on rhombus bisect their repsective angles.

QS is perpendicular to RT because both QS and RT are rhombus' diagonals and diagonals in rhombus are perpendicular with each other.

QS bisects RT because QS divide rhombus QRST into 2 congruent triangles, QRS and QTS. Since both triangles' height are half of RT, then QS bisects RT.

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\(\sf{\sqrt{5}(\sqrt{10}+3\sqrt{15}) }\)

Use the distributive property to multiply √5 by 2√10 + 3√15.

2√5√10+3√5√15

Factor 10=5×2. Rewrite the square root of the product √5×2 as the product of the square roots √5√2.

2√5√5√2+3√5√15

Multiply √5 and √5 to get 5.

2×5√2+3√5√15

Multiply 2 and 5 to get 10.

10√2+3√5√15

Factor 15=5×3. Rewrite the square root of the product √5×3 as the product of the square roots √5√3.

10√2+3√5√5√3

Multiply √5 and √5 to get 5.

10√2+3×5√3

Multiply 3 and 5 to get 15.

10√2+15√3

The graphs of the two linear functions can be seen at the end of the answer.

To graph linear equations, we first need to find two points that belong to the line, and then we just need to connect them with a line.

A) Here we have:

y - 2x = 0

Isolating y we get:

y = 2x

Now we just evaluate it, I will use x = 0 and x = 1.

for x = 0:

y = 2*0 = 0

Then we have the point (0, 0)

For x = 1:

y = 2*1 = 2

Then we have the point (1, 2)

Now we just need to plot these two points and connect them with a line.

B) We do the same thing than before, evaluate in x = 0 and x  = 1

for x = 0:

y = -2*0 = 0

We have the point (0, 0)

For x = 1

y = -2*1 = -2

We have the point (1, -2)

Now that we have all the needed points we can graph both functions, the graphs can be seen below, where the green line is the one from point A, and the blue line is the one from point B.

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Step-by-step explanation:

distance / rate = time                s = plane speed    w = wind speed

Flying with wind       1053 / ( s+ w) = 1.75

                                   solve for s = 601.714 -w

Flying against wind  1053 / (s-w) = 2.75       sub in for s (above)

                                  1053 / ( 601.714 - w   -w )  = 2.75

                                          solve for w = 109.27 mi/hr  

sub this 'w'  into one of the equations to solve for 's'

          1053 / ( s + 109.273) = 1.75      shows   s = 492.44  mi/hr

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

Hope this helps you

Answer:

3\(\frac{1}{6\\}\)

Step-by-step explanation:

Answer:

this is not a strong suit

Step-by-step explanation:

yes

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Answer:

Increasing interval is for all values of x that the function is defined by, in other words x is greater or equal to 0.

And there are not decreasing intervals.

Increasing interval is when the slope of the tangent at the function is positive.

Decreasing interval is when the slope of the tangent at the function is negative.

Answer:

x=3 because 5-2=3 meaning 3+2=5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x+2-2=5-2

x=3

subtract 2 from both sides of the equation

The square root of the quotient of the product of 64 and 5, and one-tenth the sum of 12 and 4 is 14.14. Therefore, option D is the correct answer.

We need to find the square root of the quotient of the product of 64 and 5, and one-tenth the sum of 12 and 4.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Now, the product of 64 and 5 is 64 × 5=320

and one-tenth the sum of 12 and 4 = 1/10 (12+4) = 16/10

=1.6

Quotient of 320 and 1.6 is 320/1.6 = 200

So, √200 = 14.14

The square root of the quotient of the product of 64 and 5, and one-tenth the sum of 12 and 4 is 14.14. Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following represents the square root of the quotient of the product of 64 and 5, and one-tenth the sum of 12 and 4? Select one answer

A 282.8

B 141.4

C 28.28

D 14.14

E 14. ¯14

Answer:

3592

Step-by-step explanation:

interest

Step-by-step explanation:

I dont no because I cannot try 2 counting like that money

Answer:

2,080calories

Step-by-step explanation:

1569/75 = x/100 (cross multiplication)

(1560 * 100) / 75

= 2,080

The average daily requirement of calories is 2080

We have:

Cheesecake = 1560 calories

Content = 75% average daily requirement

Let the average daily requirement be x.

So, we have:

75% * x = 1560

Divide both sides by 75%

x = 2080

Hence, the average daily requirement of calories is 2080

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Let $abcd$ and $bedf$ be two $2 \times 3$ rectangles that overlap, the area of the overlap is 6 square unit.

The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units.

Given that we have to assume to rectangles

ABCD and BEDF

both have dimensions 2×3.

So the area of rectangles-

A=2(3)=6 square unit

Also given that both the rectangles overlap each other.

Since both the rectangle are of the same dimension so the overlapping area will be equal to their original area.

So the area of overlap- A=6 square unit.

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Answer:

x-intercept: (2,0), (-2,0)

Answer:

Check out the graph below the explanation.

Step-by-step explanation:

1. x ≥ 9 means that x is more than or equal to 9.

Here's the graph!

Answer:

$23.52

Step-by-step explanation:

Because we have five different bills, we'll add up all the bills and divide by 5 for an average (the mean)

22.32 + 24.18 + 19.31 + 25.86 + 25.94 = 117.61

117.61 divided by 5 = 23.522

Rounded to the nearest that is $23.52

Answer:

Slope (m) =  

ΔY

ΔX

=  

1

2

= 0.5

θ =  

arctan( ΔY )

ΔX

= 26.565051177078°

ΔX = 5 – 1 = 4

ΔY = 8 – 6 = 2

Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996

Equation of the line:

y = 0.5x + 5.5

or

y =  

1 x

2

+  11

2

When x=0, y = 5.5

When y=0, x = -11

Answer:

y2 - y1 = Δy, or vertical change, while x2 - x1 = Δx, ... Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline: m = 8 - 4. 6 - 3. = 4. 3. d = √(6 - 3)2 + (8 - 4)2 = 5 ...

Step-by-step explanation:

The simplified expression of (4⁴)⁻¹  is one over four raised to the fourth power

The expression can be simplified as follows:

(4⁴)⁻¹

Therefore, the expression can be simplified using laws of indices.

\((a^{c} )^{b} = a^{cb}\)

and

\((a^{-b} )^{c} = \frac{1}{a^{bc} }\)

Therefore, using the laws of indices, the expression can be simplified below:

(4⁴)⁻¹  = 4⁻⁴

Hence,

4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴

Hence,

(4⁴)⁻¹  = 1 / 4⁴ = (1 / 4)⁴

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Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

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The probability that one has a dog allergy when tested positive will be 0.3311.

What do you mean by probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

According to the given question,

We have the given information:

1% of the population has an allergy to dogs.

This will be:

= 1% × 100000

= 1000

So, 1000 people have an allergy to dogs.

The number of people who doesn't have allergy to dogs will be:

= 100000 - 1000

= 99000

Those that have allergies = 2% × 1000 = 20

So, the probability that one has dog allergy will be:

= P(has allergy and test positive)

= (0.01 × 0.98) + (0.098 + 0.0198)

= 0.0098/0.0296

= 0.3311

Therefore, the probability is 0.3311.

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Answer:

-0.5

Step-by-step explanation:

We know that b is 12.5, and 12 - b will give us the answer, so

12 - 12.5 = -0.5

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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