Question Number 16 You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?

Answer:

[tex]2x^2\\\\[/tex]

Step by step explanation:

[tex]y=\displaystyle \int_{0}^x 2t^2 dt=\dfrac 23\left[t^3\right]^{x}_0=\dfrac 23 x^3\\\\\ y'= \dfrac 23 \cdot 3x^2 = 2x^2[/tex]

Answer:

ok

Step-by-step explanation:

Answer:

y = -2x + 16

hope this helped :)

Given:

To find:

Solving:

Using triangle inequality theorem.

[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]

Range = difference < x < Sum

[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]

[tex]\large \tt \implies3 < x < 15[/tex]

[tex]~~~~x^4+4x^3 +4x^2 +4x +3=0\\\\\implies x^4 +x^3 +3x^3 + 3x^2 +x^2+x+3x+3=0\\\\\implies x^3(x+1) +3x^2(x+1) + x(x+1) +3(x+1)=0\\\\\implies (x+1) (x^3+3x^2 +x +3)=0\\\\\implies (x+1) \textbf{[} x^2(x+3)+(x+3)\textbf{]}=0\\\\\implies (x+1)(x+3)(x^2+1)=0\\\\\implies x = -1 ,~~ x = -3,~~ x = \pm i[/tex]

Step-by-step explanation:

a. the zeroes of the function :

x = 2 or x = -2

b. the y-intercept :

g(0) = -3(0-2)(0+2)

= -3(-2)(2) = 12

the coordinates => (0, 12)

c. the g(x) = g(-x) => this is the even function

d. the leading of coefficient is negative

e. the end of behaviour is toward down

Answer:

a. 21.95 or abt 22

b. Length of the ladder

Step-by-step explanation:

pythagorean theorem - a^2 + b^2 = c^2

[c is slope/hypoteneuse] [a and b are sides]

11^2 + 19^2 = c^2

121 + 361 = c^2

482 = c^2

sqrt(482) = c

c = 21.954 or abt 22

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

#2

Dilation of scale factor 2

#3

reflection across x axis rule (x,y)—»(x,-y)

#4

Rule for given translation (x-5,y+2)

Answer:

Given points:

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

Answer:

68/100=17/25

Step-by-step explanation:

Since there are 2 digits in 68, the very last digit is the "100th" decimal place. So we can just say that 68 is the same as 68/100. terms by dividing both the numerator and denominator by 4. :D

Answer:

0.68=17/25

Step-by-step explanation:

first, turn it into a regular number which is as simple as dividing by 100, then you want to find a fraction which you first convert 0.68 into 68/100 and simplifying it gives you 17/25.

The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

Read more about Frequency Distribution Table at:

https://brainly.com/question/1094036

Answer:

D. Subtract 4 from both sides

Step-by-step explanation:

When you're solving a quadratic equation you want to use the quadratic formula [tex]\frac{-b+ \sqrt[]{b^{2} -4ac } }{2a}[/tex].
To get the quadratic equation into this form, you first need to convert it into [tex]ax^{2} +bx+c=0[/tex] which means the first step would be to subtract 4 on both sides.

Answer:

no solution

Step-by-step explanation:

6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis

10x - 1 = 10x + 8 ( add 1 to both sides )

10x = 10x + 9 ( subtract 10x from both sides )

0 = 9 ← not possible

this indicates the equation has no solution

Answer:

[tex] I = \frac{1}{8} e^{4x^2} + C [/tex]

Step-by-step explanation:

This can be solved using substitution method. Let us work it out.

[tex] Let \: I = \int xe^{4x^2} dx[/tex]

[tex] \implies \: I = \int e^{4x^2} xdx[/tex]

[tex] Put \:4x^2 = t [/tex]

[tex] \implies 8x dx = dt [/tex]

[tex] \implies x dx = \frac{1}{8}dt [/tex]

[tex] \implies \: I = \int e^{t} \frac{1}{8}dt [/tex]

[tex] \implies \: I = \frac{1}{8} \int e^{t}dt [/tex]

[tex] \implies \: I = \frac{1}{8} e^{t} + C [/tex]

[tex] \implies \: I = \frac{1}{8} e^{4x^2} + C [/tex]

[tex] \implies \: \int xe^{4x^2} dx = \frac{1}{8} e^{4x^2} + C [/tex]

Answer:

3 days

Step-by-step explanation:

Answer:

2854.5 in^3

Step-by-step explanation:

4/3 π(8.8)^3

4/3π(681.472)

908.63π = 2854.5 in^3

The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)

Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,

[tex]P(A)=\dfrac{4}{14}[/tex]

Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,

[tex]P(B)=\dfrac{3}{13}[/tex]

The probability of happening both event is,

[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]

The probability that the two candies selected by Laura from the box are taffy is,

[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]

Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

Learn more about probability here:

brainly.com/question/1210781

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The base of the ladder and the wall forms a right triangle

The horizontal distance between the base of the ladder and the wall is 9.3 feet

The given parametes are:

Angle = 69 degrees

Length of the ladder (l) = 26 feet

The horizontal distance (h) is calculated using the following cosine ratio

cos(θ) = h/l

Substitute known values

cos(69) = h/26

Make h the subject

h = 26 * cos(69)

Evaluate the product

h = 9.3

Hence, the horizontal distance between the base of the ladder and the wall is 9.3 feet

Read more about right triangles at:

https://brainly.com/question/2437195

Answer:

50% or 1/2

Step-by-step explanation:

The probability of grabbing either colored block from the bag is 50% or 1/2.

Answer:

Step-by-step explanation:

Answer:

(6 ± 3i)/5

Step-by-step explanation:

12x = 9 + 5x²

5x² - 12x + 9 = 0

Method 1

Factors that add to = b (-12) and multiply to = ac (45):  3 and -15

5x² + 3x - 15x + 9 = 0

5x(x - 3) + 3(x + 3) = 0

(x-3) and (x+3) do not match !!!!

Method 2 - Quadratic Formula

-b ± √(b² - 4ac)/2a

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √(144 - 180)/10

12 ± √-36/10

(12 ± 6i)/10

(6 ± 3i)/5

I hope this helps!

Answer:

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

Step-by-step explanation:

Answer:

Step-by-step explanation:

perp. -8/3

y + 2 = -8/3(x - 8)

y  + 2 = -8/3x + 64/3

y + 6/3 = -8/3x + 64/3

y = -8/3x + 58/3

y + 2 = -3/8(x - 8)

y + 2 = -3/8x + 3

y = -3/8x + 1

Answer:

$30

Step-by-step explanation:

Since the $130 has everything except the 3 premium movies, i subtracted 160 with 130 to get $30.

Answer:

$6.08 per pound

Explanation:

30 ounce ⇒ $11.40

conversions:

solve:

Answer:

$6.08

Step-by-step explanation:

Mohsin purchased a 30-ounce bag of dried Turkish figs for $11.40.

⇒ 30 ounces of dried Turkish figs = $11.40

Finding the cost per ounces:

30 ounces of dried Turkish figs/30 = $11.40

⇒ 30 ounces of dried Turkish figs/30 = $11.40/30

⇒ 1 ounce of dried Turkish figs = $0.38

Finding the cost per pounds:

1 pound ↔ 16 ounces

⇒ 1 ounce of dried Turkish figs = $0.38

⇒ 1 ounce of dried Turkish figs × 16 = $0.38 × 16

⇒ 16 ounces of dried Turkish figs = $6.08

Answer:

1.25 feet to the nearest hundredth.

Step-by-step explanation:

Voilume = π r^2 h

Here V = 48π , and area of the base = π r^2 = 121.

So  48π = 121h

h =  48π / 121

= 1.25 feet to the nearest hundredth.

Answer:

Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.

Step-by-step explanation:

Answer:

8 packages

Step-by-step explanation:

First, let's subtract.

#1) Remove the cost of the notebook.

#2) Remove the amount that needs to be saved.

#3) Make the inequality.

Answer:

in the first one: BMC is equilateral triangle, because BM divides AC into equal sections, and because of that MC is 3.5 so it equals to BC.

Since angle BMC is 60° (because the triangle is equilateral), angle AMC will be 120°.

Since angle A + angle C should be 90°, if amgle C is 60°, then angle A will be 30.

In triangle AMB, angle ABM will be 30° (180°-120°(angle AMB) - 30°(angle BAM)).

As we calulated, angle A is 30° and angle ABM is 30° too, that means in BAM triangle AM=BM.

Step-by-step explanation:

that is totally simple.

the area of a parallelogram is

baseline × height

basically the same as for a rectangle, just that in this more general form the height is no longer the other side.

in our case here

18×13 = 234 cm²