If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?

If You Chose An Angle, How Are The Construction Steps You Completed Similar To The Steps You Would Have

Answers

Answer 1

There are different ways to construct an angle. The steps used in making a line segment are; First, you have to put the compass at one specific end of the line segment. Then you shift the compass slowly a little bit so it will be longer than half the length of the line segment. Then you have to draw arcs up and down the line. while using the same compass width, you then draw arcs from one specific end of the line. and thereafter you put your ruler at the point where the arcs cross, and you then draw the line segment. The difference is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in the construction of a line segment, there are differences in length. What is the construction process of Angles? This entails a good construction process in making angles. They are step-by-step processes used to produce detailed and exact geometric figures.


Related Questions


After descending 8.25 feet, a bird is now
at a height of 16.5 feet. What was the initial
height of the bird?

Answers

24.75 feet was the initial height of the bird. We can use definitions and corresponding addition here:

The word descending is denoted as something or someone that moves or slopes downward. Our equation will look like so, with x representing the initial height of the bird:

x - 8.25 = 16.5 (or in other words, 16.50)

Now that we have our equation set up, we can use inverse operations to solve.

16.50 + 8.25 = 24.75

Since doing addition gave us a total of 24.75, we know that the initial height of the bird is 24.75 feet. To check our work, we can plug this number in for x:

24.75 - 8.25 = 16.50

When calculating, this equation is true. Therefore, the initial height of the bird is 24.75 feet. If you need extra help, do not hesitate to let me know and I will gladly assist you.

What is the simplified form of i^86?
A. 1
B. i
C. -1
D. -i

Answers

A is the answer because it’s the simplified form of i^86

Teresa earns a weekly salary of $825 and a 6% commission on her total sales.
Ramón earns a weekly salary of $1,350 and a 2% commission on sales. What
amount of sales, x, will result in each of them earning the same amount for the
week?

Answers

To estimate the amount of sales, x, will result in each of them earning the same amount for the week and we can set up the following equation:

T = R

825 + 0.06x = 1350 + 0.02x

Simplifying the equation, we get

x = 13125

We require a total of 13125 for the number of sales to maintain the same amount for Ramon and Teresa at the end of the week.

How to estimate the number of sales, x, that will result in each of them gaining the exact amount for the week?

For this case, we can assume that the total salary for Teresa T is given by T = 825 + 0.06x

Where x represents the number of sales. And similarly the total salary of Ramon we have:

R = 1350 + 0.02x

We want to estimate the amount of sales, x, will result in each of them earning the same amount for the week and we can set up the following equation:

T= R

825 + 0.06x = 1350 + 0.02x

Multiply both sides by 100

[tex]$825 \cdot 100+0.06 x \cdot 100=1350 \cdot 100+0.02 x \cdot 100$[/tex]

82500 + 6x = 135000 + 2 x

Subtract 82500 from both sides

82500 + 6x - 82500 = 135000 + 2x - 82500

6x = 2x + 52500

Subtract 2x from both sides

6x - 2x = 2x + 52500 - 2x

4x = 52500

Divide both sides by 4

[tex]$\frac{4 x}{4}=\frac{52500}{4}$[/tex]

x = 13125

So then we require a total of 13125 for the number of sales to maintain the same amount for Ramon and Teresa at the end of the week.

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Show that the function f(x)=sin3x + cos5x is periodic and it’s period.

Answers

The period of [tex]f(x)[/tex] is [tex]\boxed{2\pi}[/tex].

Recall that [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] both have periods of [tex]2\pi[/tex]. This means

[tex]\sin(x + 2\pi) = \sin(x)[/tex]

[tex]\cos(x + 2\pi) = \cos(x)[/tex]

Replacing [tex]x[/tex] with [tex]3x[/tex], we have

[tex]\sin(3x + 2\pi) = \sin\left(3 \left(x + \dfrac{2\pi}3\right)\right) = \sin(3x)[/tex]

In other words, if we change [tex]x[/tex] by some multiple of [tex]\frac{2\pi}3[/tex], we end up with the same output. So [tex]\sin(3x)[/tex] has period [tex]\frac{2\pi}3[/tex].

Similarly, [tex]\cos(5x)[/tex] has a period of [tex]\frac{2\pi}5[/tex],

[tex]\cos(5x + 2\pi) = \cos\left(5 \left(x + \dfrac{2\pi}5\right)\right) = \cos(5x)[/tex]

We want to find the period [tex]p[/tex] of [tex]f(x)[/tex], such that

[tex]f(x + p) = f(x)[/tex]

[tex] \implies \sin(3x + p) + \cos(5x + p) = \sin(3x) + \cos(5x)[/tex]

On the left side, we have

[tex]\sin(3x + p) = \sin(3x + 2\pi + p - 2\pi) \\\\ ~~~~~~~~ = \sin(3x+2\pi) \cos(p-2\pi) + \cos(3x+2\pi) \sin(p-2\pi) \\\\ ~~~~~~~~ = \sin(3x) \cos(p-2\pi) + \cos(3x) \sin(p - 2\pi)[/tex]

and

[tex]\cos(5x + p) = \cos(5x + 2\pi + p - 2\pi) \\\\ ~~~~~~~~ = \cos(5x+2\pi) \cos(p-2\pi) - \sin(5x+2\pi) \sin(p-2\pi) \\\\ ~~~~~~~~ = \cos(5x) \cos(p-2\pi) - \sin(5x) \sin(p-2\pi)[/tex]

So, in terms of its period, we have

[tex]f(x) = \sin(3x) \cos(p - 2\pi) + \cos(3x) \sin(p - 2\pi) \\\\ ~~~~~~~~ ~~~~+ \cos(5x) \cos(p - 2\pi) - \sin(5x) \sin(p - 2\pi)[/tex]

and we need to find the smallest positive [tex]p[/tex] such that

[tex]\begin{cases} \cos(p - 2\pi) = 1 \\ \sin(p - 2\pi) = 0 \end{cases}[/tex]

which points to [tex]p=2\pi[/tex], since

[tex]\cos(2\pi-2\pi) = \cos(0) = 1[/tex]

[tex]\sin(2\pi - 2\pi) = \sin(0) = 0[/tex]

Which of the following is the equation of the line that passes through the point (-5,-7) and has a slope of 2/5?

No multiple choice

Answers

Answer is y = 2/5x -9.

Step by step.

The equation of the straight line y = m x +b.
We need to find y intercept, or “b”.

Substitute (-5,-7) and slope 2/5 into the equation y= mx + b.
So
-7 = 2/5 (-5) + b
-7 = -2 + b
b= -7-2
b = -9

By using slope intercept form, the equation of the line that passes through the point (-5, -7) and has a slope of 2/5 is
y = 2/5x -9.

The equation of the line passing through the point (-5, -7) with a slope of 2/5 is y = (2/5)x - 5.

How did we get the values?

To find the equation of a line, we can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁),

where (x₁, y₁) is the given point on the line and m is the slope.

In this case, the given point is (-5, -7) and the slope is 2/5. Substituting these values into the equation, we have:

y - (-7) = (2/5)(x - (-5)).

Simplifying further:

y + 7 = (2/5)(x + 5).

Distributing the 2/5:

y + 7 = (2/5)x + 2.

Subtracting 7 from both sides:

y = (2/5)x - 5.

Therefore, the equation of the line passing through the point (-5, -7) with a slope of 2/5 is y = (2/5)x - 5.

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Solve:
55) A pool is filling at 3 pts per min. How many gallons per hour is that?

Answers

Conversion factors:
2 pints = 1 quart
4 quarts = 1 gallon
60 minutes = 1 hour

15 pints/minute x 60 minutes/hour x 1 quart/2 pints x 1 gallon/4 quarts = 112.5 gallons/hour

In the circle below, O is the center and mGl= 145°. What is the measure of the central angle ZGOR? H G 0 145° I​

Answers

The measure of the central angle is 290 degrees

How to determine the measure of the central angle?

The measure of arc GI is given as:

mGI = 145 degrees

The measure of the central angle is calculated as:

Central angle = 2 * mGI

Substitute the known values in the above equation

Central angle = 2 * 145

Evaluate the product

Central angle = 290

Hence, the measure of the central angle is 290 degrees

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Solve the inequality
21≥t+10

Answers

The answer is t ≤ 11.

Subtract 10 from each side.21 - 10 ≥ t + 10 - 10t ≤ 11

need heeeelp please ​

Answers

Answer: [tex]\Large\boxed{x=-\frac{4}{5} }[/tex]

Step-by-step explanation:

Given equation

[tex]-9+log_{4}(-5x)=-8[/tex]

Add 9 on both sides

[tex]-9+log_{4}(-5x)+9=-8+9[/tex]

[tex]log_{4}(-5x)=1[/tex]

Simplify the logarithm

[tex]-5x=4^1[/tex]

[tex]-5x=4[/tex]

Divide -5 on both sides

[tex]-5x\div-5=4\div-5[/tex]

[tex]\Large\boxed{x=-\frac{4}{5} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

1. Assuming that the company sells all that it produces, what is the profit function?

2. What is the domain of P(x) ?

3. The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose? Profit when producing 50 items? Profit when producing 60 items?

4. Can you explain, from our model, why the company makes less profit when producing 10 more units?

Answers

The  profit function is R(x) = -0.5 (x - 50²) + 1150

The domain of P(x)  is:  0 ≤ x ≤ 150 Profit when producing 50 items = 1150 Profit when producing 60 items =  1100 What is the profit function about?

Note that:

1. Profit  = Revenue - cost

P (x) =  0.5 ( x - 90²) + 4050 - 40x - 100  

= 0.5 ( x² - 180 + 8100 + 4050 - 40x - 100  

=0.5 x² - 50x - 100  

=0.5( x² - 100x) - 100  

=  -0.5 (x - 50²) + 1150

2.  Since the minimum unit is 50.

Then   x ≤ 150

X = describe the item so it need to be a negative number

x ≥ 0

Hence the domain of P(x)  is:  0 ≤ x ≤ 150

3. Assume x = 50 , 60

R(50) = 1150 , R (60 ) = -0.5 (60-50)² + 1150 = 1100

4. R (x) = -0.5 (x-50)² + 1150  then 50 more unit is removed hence, Profit when producing 60 items =  1100

Therefore, The  profit function is R(x) = -0.5 (x - 50²) + 1150

The domain of P(x)  is:  0 ≤ x ≤ 150 Profit when producing 50 items = 1150 Profit when producing 60 items =  1100

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Question
Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.
x-intercept - 5 and y-intercept = 4

Answers

Answer:

y=(−2)x−-6

Step-by-step explanation:

Use the slope −2 and the point (−5,4) to find the y-intercept.

y=mx+b

⇒4=(−2×−5)+b

⇒−4=10+b

⇒b=−6

Write the equation in slope intercept form as:

y=mx+b

⇒y=(−2)x−-6

2/3 of Ram money = 1/2 of Hari money. They have altogether 1400. Find the amount of money each.

Answers

Solving a system of equations we will see that Hari has 800 and Ram has 600.

How much money does each have?

Let's define the variables:

R = money that Ram has.H = money that Hari has.

We know that:

(2/3)*R = (1/2)*H

We also know that in total they have 1400, then:

R + H = 1400.

So we have the system of equations:

(2/3)*R = (1/2)*H

R + H = 1400.

In the first equation we can isolate R.

R = (3/2)*(1/2)*H = (3/4)*H

Now we can replace that in the other equation:

(3/4)*H + H  =1400

H*(7/4) = 1400

H = (4/7)*1400 = 800

So Hari has 800, and:

R + H = 1400

R = 1400 - H = 1400 - 800 = 600

Hari has 800 and Ram has 600.

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2) Find the perimeter and area of the figures:
a)
P =
A =
8
8 ft.
b)
P =
A =
12
5m

Answers

Answer:

8+8+12+5= 33

Step-by-step explanation:

8+8+12+5=33

In the parallelogram below,
y = [? ]°
2
Z
1240
33%

Answers

Answer:

y = 33

Step-by-step explanation:

Angle y and 33 are alternate interior angles since the figure is a parallelogram and alternate interior angles are equal

y = 33

Answer:

y = 33°

Step-by-step explanation:

The diagonal of the parallelogram (a transversal) intersects two opposite and parallel sides of the parallelogram  

Then

The angles of measures y° and 33° are Alternate interior angles

Then

they are congruent.

In other words , y = 33°

please help urgently ​

Answers

Answer: no real solution

Thus, the function has no x- intercept

Step-by-step explanation:

33. First you would make 3(2)^2= 36 - 2(2) = 32 +1 is 33

The large rectangle was reduced to create the small rectangle.

A large rectangle has a length of 18 inches and width of 12 inches. A smaller rectangle has a length of 6 inches and width of x inches.
Not drawn to scale

What is the missing measure on the small rectangle?
2 inches
3 inches
4 inches
5 inches

Answers

Answer:

4 inches

Step-by-step explanation:

large rectangle - 18:12 ratio = 3:2

small rectangle - 6:4 = 3:2

Option 3 (C) would be correct

Fill in the missing amounts. July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275

Answers

July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165

This is further explained below.

What is Cumulative Balance?

Generally, The term "cumulative balance" refers to the total amount of money left over at the end of a fiscal year after all surplus amounts have been subtracted from deficit amounts. If there is a negative amount in the Cumulative Balance at the conclusion of a fiscal year, then that balance will be carried forward and used as the opening balance for the next fiscal year.

The term "cumulative account" refers to the total amount of an employee's account under a defined contribution plan (for an unaggregated plan) or the total amount of an employee's account under all defined contribution plans included in an Aggregation Group (for aggregated plans), both of which are determined as of the most recent plan valuation date within the most recent 12-month period that ends on the...

In conclusion, for the following data  July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165

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P: 2,012
1) El volumen de un cubo de arista 1 es Vc = 1³ y el
Volumen de una esfera de radior es
JE
V₁ = πr ²³ Entonces si en un cubo de arista 4cm
3
y se introduce una pelota de diametro 4 cm, al Calcular
aproximación con cuatro cifras decimales, por exceso.
Calcular el volumen que queda entre la esfera y el cubo.
(toma π =
3,141592654)

Answers

El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

¿Cuál es el volumen remanente entre una caja cúbica vacía y una pelota?

En esta pregunta debemos encontrar el volumen remanente entre el espacio de una caja cúbica y una esfera introducida en el elemento anterior. El volumen remanente es igual a sustraer el volumen de la pelota del volumen de la caja.

Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:

Cubo

V = l³

V = (4 cm)³

V = 64 cm³

Esfera

V' = (4π / 3) · R³

V' = (4π / 3) · (2 cm)³

V' ≈ 33.5103 cm³

Segundo, determinamos la diferencia de volumen entre los dos elementos:

V'' = V - V'

V'' = 64 cm³ - 33.5103 cm³

V'' = 30.4897 cm³

El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

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evaluate the following using powers of ten rules: 10 to the 4th times the square root of 1.042

Answers

The value of the given expression is approximate equal to 1.021 × 10⁴ OR 10207.8

Evaluating an expression

From the question, we are to determine the value of the given expression

The given expression is

10 to the 4th times the square root of 1.042

That is,

10⁴ × √1.042

The expression can be evaluated as shown below

10⁴ × √1.042

= 10⁴ × 1.02078

= 1.02078 × 10⁴

1.021 × 10⁴

OR

= 1.02078 × 10⁴ = 10207.8

Hence, the value of the given expression is approximate equal to 1.021 × 10⁴ OR 10207.8

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Will mark brainliest

Answers

[tex]x^3[/tex] is strictly increasing on [0, 5], so

[tex]\max\{x^3 \mid 0\le x\le5\} = 5^3 = 125[/tex]

and

[tex]\min\{x^3 \mid 0 \le x\le5\} = 0^3 = 0[/tex]

so the integral is bounded between

[tex]\displaystyle \boxed{0} \le \int_0^5x^3\,dx \le \boxed{125}[/tex]

A student says that 3% is equal to 0.3 when written as a decimal. Is their thinking correct? Explain.

Answers

The answer is no.

Always remember when converting from percent to decimal, divide by 100%.

3% ÷ 100%0.03 ≠ 0.3

Hence, the student's thinking is not correct.

Answer:

no

Step-by-step explanation:

0.3 = 30% not 3%

to change a percentage to a decimal fraction, divide by 100

3% = [tex]\frac{3}{100}[/tex] = 0.03

s−3(s+6)= ASAP I NEED ANSWER PLEASE

Answers

Answer: −2(

Answer:

Simplified: −2s − 18

Step-by-step explanation:

Simplify the expression.

If 2/3x − 1 = 4, then x=

Answers

Answer: 15/2 or 7.5

Step-by-step explanation:

2/3x = 5

5 divided by 2/3 or 5 x 3/2

= 15/2 or 7.5

Answer: 15/2

Step-by-step explanation:

[tex]\frac{2}{3} x-1=4\\\\\frac{2}{3}x=5\\ \\x=5(\frac{3}{2})\\\\x=\frac{15}{2}[/tex]

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 39 ounces and a standard deviation of 5 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

Answers

The answer to these questions are

Option A: This is in the attachmentOption B : 24 and 54Option C: 97.59%Option D: 84.13%

How to find the point where the distribution lies at 99.7%. The data is 3 sd from mean

Hence

39 - 3*(5) = 24

39 + 3*(5) = 54

The widget lies between 24 and 54

c. P(29.0 < x < 54.0)

= 29 - 39 / 5 and 54 - 39 / 5

= -2.0 and 3.0

We have to find P(Z < 3.0) - P(Z < -2.0)

= 0.9987 - 0.0228

= 97.59%

d. x = 44

= 44 - 39/ 5

= 1

We are to find P(z < 1.0)  = 84.13%

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Which of the following are polynomials?

A. x^2 + x + 1/x^2 + 1

B. 2/x^3 + x + 1/2

C. 2/3x^2 + x + 1

D. x^2/3 + 0x + 1

E. x^3 + 2x + square root of 2

Answers

Answer: C, E

Step-by-step explanation:

These are polynomials by the definition of a polynomial.

A kite is flying 95 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Find the length of the string. Round your answer to the nearest tenth.

Answers

If a kite is flying 95 ft. off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Then the length of the string will be 110.8 ft.

Given information constitutes the following,

The distance of the flying kite from the ground, length AB (refer the figure) = 95 ft.

The angle of elevation of the kite, ∠ACB = 59°

We have to find the length of the string, that is the length AC. For that, we can apply Trigonometry as shown in the next steps of the solution.

In ΔABC, as shown in the attached figure,

sin (∠ACB ) = AB / AC

⇒ sin (59°) = 95 / AC

0.8572 = 95 / AC

AC = 95 / 0.8572

AC = 110.814

AC ≈ 110.8 ft.                [After rounding off to the nearest tenth]

Hence, the length of the string comes out to be 110.8 ft.

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√₂º · Va This can be transformed into a basic integral by letting Consider the indefinite integral U= x' +9 ✓ and du = 7x6 ✓dx · √x + 9 dx: Performing the substitution yields the integral​

Answers

Answer:

[tex]u = x^{7} +8[/tex]     [tex]du = 7x^{6} dx[/tex]   result is [tex]\frac{1}{7} \sqrt[4]{u}[/tex]

Step-by-step explanation:

(1 point) Find y as a function of x if
y" - 12y" + 32y' = 0,
y(0) = 5, y'(0) = 2, y" (0) = 1.
0
y(x) =

Answers

y’’(x)= 6x + 1
y’(x)= 3x^2 + x + 2
y(x)= x^3 + 1/2x^2 + 2x + 5

compare the discounts you would receive with a 10% off coupon versus a 510 off coupon. Which one is better? Are there situations in which the other one is better? Will they get you the same amount of discount? Show All the work.

Answers

1. To determine the better option between a 10% off coupon versus a $10 off coupon, it is necessary to determine the coupon price.

2. On the other hand, the $10 off coupon becomes better when the coupon price is less than $100.

3. The 10% off coupon and the $10 off coupon do not give the same amount of discount unless the coupon or list price is $100 in both situations.

What is a discount?

A discount is a monetary reduction in the cost of a good or service offered to customers to increase trade.

Offering discounts enhances sales but not profitability.  So, there is a trade-off that must be considered properly.

Calculations:

Ordinarily, if the coupon price is more than $100, the 10% off coupon becomes better than the $10 off coupon.

For instance, if the coupon price is $110, the 10% off coupon will yield a discount amount of $11 ($110 x 10%), which is more than $10.

For instance, if the coupon price is $99, the discount amount will be $9.90, which is less than $10.

Thus, a 10% off coupon and a $10 off coupon do not offer the same discount amount unless the list price is $100, no more, no less.

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Question Completion:

Compare the discounts you would receive with a 10% off coupon versus a $10 off coupon.

4 1/3 - 1 2/3 how to solve this please

Answers

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

1) Convert [tex]4\frac{1}{3}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].

[tex]\frac{4\times3+1}{3} -1\frac{2}{3}[/tex]

2) Simplify 4 * 3 to 12.

[tex]\frac{12+1}{3}[/tex]

3) Simplify 12 + 1 to 13.

[tex]\frac{13}{3} -1\frac{2}{3}[/tex]

4) Convert [tex]1\frac{2}{3}[/tex]   to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].

[tex]\frac{13}{3} -\frac{1\times3+2}{3}[/tex]

5) Simplify 1 * 3 to 3.

[tex]\frac{13}{3} -\frac{3+2}{3}[/tex]

6) Simplify 3 + 2 to 5.

[tex]\frac{13}{3} -\frac{5}{3}[/tex]

7) Join the denominators.

[tex]\frac{13-5}{3}[/tex]

8) Simplify.

[tex]\frac{8}{3}[/tex]

9) Convert to mixed fraction.

[tex]2\frac{2}{3}[/tex]

(Decimal Form: 2.666667)

Thank you,
Eddie

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#6 pls quick answer!!! The ______ is an example of a black swan event.a. 2008 global financial crisis b. duty to file taxes c. start of the academic year d. annual flu season A completed voucher is sent to an authorized person who does all of the following except: multiple choice enters information on both the inside and outside of the voucher performs a final review approves the accounts and amounts authorizes recording of the voucher Which white blood cell phagocytizes microorganisms and becomes a macrophage in the tissue? A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. what is the area of the hexagon? square inches Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. if the circle has a radius of 5 yards and the angle subtended by the arc measures 1.5 radians, what is the length of the curved border? Write a 250- to 500-word argumentative essay on one of the listed topics. choose a topic that you find interesting or is somehow relevant to you: why are there laws limiting the freedom of speech? The water usage at a car wash is modeled by the equation w(x) = 4x3 6x2 11x 7, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 4x3 4x2 11x 8 c(x) = 3x3 4x2 11x 8 c(x) = 3x3 4x2 11x 8 c(x) = 4x3 4x2 11x 8 !!!!!URGENT PLEASE HELP!!!! 6. Read each brief synopsis and identify the kind of irony it shows.a. verbal irony b. situational irony c. dramatic irony1. In Finding Nemo, when Dory asks Marlin if hes her conscience, he goes along and says he is.2. In Aladdin, one of the three wishes is used to become a prince in order to be rich enough to marry Princess Jasmine. However, she was repulsed by his riches and did not want to marry Aladdin.3. In The Little Mermaid, Eric was saved from a shipwreck by the mermaid Ariel. She trades her voice for legs, and finds Eric. But without her voice, he doesnt recognize her as the love of his life. find the volume of the tire with dimensions Tire diameter: 26 Tube width diameter: 2.125 write three disadvantages of hard water. If $2,000,000 of 10% bonds are issued at 97, the amount of cash received from the sale is. In a city of 56,000 people, there are 21,000 people under 25 years of age. What percent of the population is under 25 years of age? Regarding respiratory changes at birth, changes in blood flow that occur lead to the closure of the ________, the embryonic interatrial connection Natalie observes these characteristics in the model of an atom. (i) includes positive charge (ii) contains electrons (iii) explains the photoelectric effect (iv) suggests the probable location of electrons For there lay The Combs--the set of combs, side and back, that Della had worshipped long in a Broadway window. Beautiful combs, pure tortoise shell, with jewelled rims--just the shade to wear in the beautiful vanished hair. They were expensive combs, she knew, and her heart had simply craved and yearned over them without the least hope of possession. And now, they were hers, but the tresses that should have adorned the coveted adornments were gone.But she hugged them to her bosom, and at length she was able to look up with dim eyes and a smile and say: "My hair grows so fast, Jim! And them Della leaped up like a little singed cat and cried, "Oh, oh!" Jim had not yet seen his beautiful present. She held it out to him eagerly upon her open palm. The dull precious metal seemed to flash with a reflection of her bright and ardent spirit."Isn't it a dandy, Jim? I hunted all over town to find it. You'll have to look at the time a hundred times a day now. Give me your watch. I want to see how it looks on it."Instead of obeying, Jim tumbled down on the couch and put his hands under the back of his head and smiled."Della," said he, "let's put our Christmas presents away and keep 'em a while. They're too nice to use just at present. I sold the watch to get the money to buy your combs. And now suppose you put the chops on."The magi, as you know, were wise men--wonderfully wise men--who brought gifts to the Babe in the manger. They invented the art of giving Christmas presents. Being wise, their gifts were no doubt wise ones, possibly bearing the privilege of exchange in case of duplication. And here I have lamely related to you the uneventful chronicle of two foolish children in a flat who most unwisely sacrificed for each other the greatest treasures of their house. But in a last word to the wise of these days let it be said that of all who give gifts these two were the wisest. O all who give and receive gifts, such as they are wisest. Everywhere they are wisest. They are the magi.What inference can the reader make about Jims feelings based on his actions at the end of the passage?Jim feels contentment with knowing that, although their gifts are useless, their love for each other is strong.Jim feels helpless to provide a better life for Della.Jim feels indifference about the outcome since his gift was not costly.Jim feels frustration because of the ruined gift. What equation represents a line that passes through points (-1,2) and (3,1) 4x - y = -6X + 4y = 7X - 4y = -94x + y = 2 Which is abiotic?tree sapinsectsunlighttree stump Glycogen is defined as a storage form of glucose, manufactured and stored in the bodys? pls help best u canWhat is the range of possible sizes for side x?