ILL MARK BRAINLIEST AND 20 POINTS FOR THE FIRST TO HELP! ITS DUE IN 10! PLEASE AND THANKS

ILL MARK BRAINLIEST AND 20 POINTS FOR THE FIRST TO HELP! ITS DUE IN 10! PLEASE AND THANKS

Answers

Answer 1

Answer:

7/30

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer 2
it’s a 14 out of 60 chance he draws a yellow. so 14/60 & in simplest form it’s 7/30

Related Questions

Complete this sequence.
30, 21, 12, 3, [?], [ ]

Answers

Answer:

-6, -15

Step-by-step explanation:

Each term is 9 less than the previous term.

A roll of aluminum for you measure 76.2 m long by 304 m wide what is the length in millimeters

Answers

Answer:

76,200 mm

Step-by-step explanation:

1 meter = 1000 mm, by definition.  Make that a conversion factor:

(1 meter)/(1000 mm), or (1000 mm)/(1 meter).  Both are equal to 1, since 1 meter = 1000 mm.  We can multiply anything by 1, so take the original measurement of length of 76.2 meters, and multiply it by (1000 mm)/(1 meter).

(76.2 meters)*((1000 mm)/(1 meter)) = 76,200 mm.  The meters cancels, leaving just mm, the desired unit.

triangle properties help

Answers

A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.

There are 3 pieces of glass that are cracked. if a rock is thrown by a lawn mower hits the window, what is the probability, that the rock hits a piece of glass that is cracked?

Answers

The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore,  0.20.

Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.

The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.

The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.

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PLEASE HELP ME I NEED HELP I'LL GIVE YOU BRAINLEST PLEASE I BEG YOU NICELY.

Can some one help me with this. This isn't school work this is math that I am doing at home on prodigy the app. I will mark you brainlest if you get this correct. Also look at both of the pictures one of them has a hint for you.

Answers

The perimeter of a rectangle is the sum of its side lengths.

A rectangle is special in that sides opposite one another have equal length. So if [tex]x[/tex] is the length of the horizontal sides, the total perimeter of the rectangle is

[tex]4\,\mathrm{cm} + 4\,\mathrm{cm} + x\,\mathrm{cm} + x\,\mathrm{cm} = (8+2x)\,\mathrm{cm}[/tex]

We're given the perimeter is actually 18 cm, so

[tex]8+2x = 18[/tex]

Solve for [tex]x[/tex].

[tex](8 + 2x) - 8 = 18 - 8[/tex]

[tex]2x = 10[/tex]

[tex]\dfrac12 \cdot 2x = \dfrac12 \cdot 10[/tex]

[tex]\boxed{x = 5}[/tex]

Please help with the bonus! Thank you:)

Answers

a. The function that models the situation is  F(t) = 48(1.08)ˣ

b. The price of the stock 6 years from now is $76.17

c. Find the graph in the attachment

d. I receive a dividend of $0.026.

a. Write a function f(t) that models the situation.

Since the stock price increases at a rate of 8% every year, and is initially $48, it follows exponential growth.

So, the current price [tex]F(t) = A(1 + r)^{t}[/tex] where

A = price at current moment = $48, r = rate of growth = 8% = 0.08 and t = number of years

So,  [tex]F(t) = A(1 + r)^{t}[/tex]

[tex]F(t) = 48(1 + 0.08)^{t} \\= 48(1.08)^{t}[/tex]

So, the function that models the situation is F(t) = 48(1.08)ˣ

b. Determine the price of the stock 6 years from now?

The price of the stock 6 years from now is gotten when t = 6.

So,

[tex]F(t) = 48(1.08)^{t} \\= 48(1.08)^{6} \\= 48(1.5869)\\= 76.17[/tex]

So, the price of the stock 6 years from now is $76.17

c. Sketch a graph of the price of the function vs time in years

Find the graph in the attachment

d. Bonus

Since every quarter, the company pays a dividend of 1.5 %, the rate per year would be r = 1.5 % ÷ 1/4 year = 1.5 % × 4 = 6 % per year.

Since they pay at a rate, r = 6 % = 0.06 of the stock price, F(t) as dividend.

After n years, the dividend is D = (r)ⁿF(t)

= (0.06)ⁿF(t)

So, [tex]D = (0.06)^{t}F(t) \\= (0.06)^{t}[4.8(1.08)^{t}][/tex]

So, after 3 years when t = 3,

[tex]D = (0.06)^{t}[4.8(1.08)^{t}]\\D = (0.06)^{3}[4.8(1.08)^{3}]\\D = 0.000216 \times 48 \times 1.2597\\D = 0.013[/tex]

Since there are 3 shares, the total dividend would be D' = 3D

= 3 × 0.013

= 0.026

So, i receive a dividend of $0.026

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Quick algebra 1 question only for 5 points :(
I would give more but people have been stealing my 100 point questions :(

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

1)

[tex]x = y + 5 \\ y = x - 5[/tex]

2)

[tex]x = \frac{3}{8} y \\ y = \frac{8}{3}x [/tex]

3)

[tex]x = - y - 2 \\ y = - 2 - x[/tex]

4)

[tex]x = 6y + 1 \\ 6y = x - 1 \\ y = \frac{x - 1}{6} [/tex]

5)

[tex]x = y - 11 \\ y = x + 11[/tex]

6)

[tex]x = 8y \\ y = \frac{x}{8} [/tex]

7)

[tex]x = \frac{ - 1}{3} y \\ y = - 3x[/tex]

[tex]basically \: flip \: x \: and \: y \: then \: solve \: for \: y[/tex]

Picture vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Answers

Answer:

pretzel: 2

hotdog: 3

Step-by-step explanation:

Let h be the hotdog price and p the pretzel price.

We know that:

h + p = 5

and

2h + 3p = 12

We can solve this system of equations:

h = 5-p

2(5-p) + 3p = 12

So the second eq. becomes:

10 - 2p + 3p = 12

10 + p = 12

p = 2

Sub in the first:

h = 5 - p = 5-2 = 3

So p = 2, h = 3

Answer: $3 / hot dog

Step-by-step explanation:

Given information:

1 hot dog + 1 pretzel = $5

2 hot dogs + 3 pretzels = $12

Set variables:

Let x be the price per hot dog

Let y be the price per pretzel

Set system of equations:

x + y = 5

2x + 3y = 12

Multiply the first equation by 3:

3x + 3y = 15

2x + 3y = 12

Subtract the second equation from the first equation (Elimination):

(3x + 3y) - (2x + 3y) = 15 - 12

3x + 3y - 2x - 3y = 3

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

0 + x = 3

[tex]\boxed{x=3}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Solve for x when [tex]x^{yz} =y^{2}[/tex]

Answers

The value of x in x^yz = y^2 is [tex]x = \sqrt[yz]{y^2}[/tex]

How to solve for x?

The equation is given as:

x^yz = y^2

Rewrite the equation properly as follows

[tex]x^{yz} = y^2[/tex]

Take the yz root of both sides

[tex]\sqrt[yz]{x^{yz}} = \sqrt[yz]{y^2}[/tex]

Apply the law of indices

[tex]x^{\frac{yz}{yz}} = \sqrt[yz]{y^2}[/tex]

Divide yz by yz

[tex]x = \sqrt[yz]{y^2}[/tex]

Hence, the value of x in x^yz = y^2 is [tex]x = \sqrt[yz]{y^2}[/tex]

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Answer:

e

Step-by-step explanation:

Using euler's identity we can see that e^ipi=-1 and considering that i=y and  i^2=-1 we can conclude that x=e

The graph of the function f(x) = -(x+6)(x + 2) is shown below. 46 £ Mark this and return 6+ 4 2 1-2- 4 2 ++ 4 6 X Which statement about the function is true? The function is increasing for all real values of x where O The function is increasing for all real values of x where -6 < x < -2. O The function is decreasing for all real values of x where x -2. O The function is decreasing for all real values of x where X​

Answers

The correct statements regarding the behavior of a quadratic function are:

The function in increasing for all real values of x where -6 < x < -2.The function is decreasing for all real values of x where x < -6 or x > -2.

When is a quadratic function increasing or decreasing?

A quadratic function with roots [tex]x_1[/tex] and [tex]x_2[/tex] is defined by:

[tex]y = a(x - x_1)(x - x_2)[/tex]

In which a is the leading coefficient.

The coefficient influences the behavior, as follows:

If a < 0, the function is increasing between the roots, and decreasing otherwise.If a > 0, the function is decreasing between the roots, and increasing otherwise.

In this problem, the function is:

f(x) = -(x + 6)(x + 2).

The roots are x = -6 and x = -2, and the leading coefficient is of a = -1 < 0, hence:

The function in increasing for all real values of x where -6 < x < -2.The function is decreasing for all real values of x where x < -6 or x > -2.

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Which monomials are perfect squares? Select three options.

6x2
9x8
17x9
25x12
36x16

Answers

The monomials that are perfect square are :
36*16 that is 576

Answer: B, D, E

Step-by-step explanation:

One day, eleven babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the probability that at most nine of the eleven babies are girls?

Answers

The probability of having, at most, 9 girls, is 0.9515

How to get the probability?

The probability that a random baby is a girl is:

p = 0.5

And the probability that a random baby is a boy is:

q = 0.5

Then the probability that, at most, 9 out of 11 babys are girls, is given by:

1 - p(10) - p(11)

Where P(10) is the probability that 10 of the babies are girls and p(11) is the probability that the 11 babies are girls.

p(10) = C(11, 10)*(0.5)^10*(0.5)^1 = C(11, 9)*(0.5)^11

Where C(11, 10) is the combinations of 10 elements that we can make with a set of 11 elements, such that:

C(11, 10)=  11!/(11 - 10)!*10! = 11

Replacing that, we get:

P = 11*(0.5)^11 = 0.0054

p(11) = C(11, 11)*0.5^11 = 1*0.5^11 = 0.0005

Then the probability is:

P = 1 - 0.0054 - 0.0005 = 0.9515

The probability of having, at most, 9 girls, is 0.9515

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A plane flies 452 miles north and then 767 miles west. What is the magnitude and direction of the plane's resultant vector?

Answers

Answer:

The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.

Step-by-step explanation:

• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

where:

a ⇒ hypotenuse (= resultant vector = ? mi)

b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).

Using the formula:

resultant² = [tex]452^2 + 767^2[/tex]

⇒ resultant =  [tex]\sqrt{452^2 + 767^2}[/tex]

⇒ resultant = 890.3 mi

• To find the direction, we can find the angle (labeled x in diagram) that the resultant makes with the north direction:

[tex]tan (x) =\frac{767}{452}[/tex]

⇒ [tex]x = tan^{-1} (\frac{767}{452} )[/tex]

⇒ [tex]x = \bf{59.5 \textdegree}[/tex]

∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .

Answer:

[tex]\displaystyle Approximately\:59°\:at\:a\:magnitude\:of\:approximately\:890\:miles[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:\theta \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:\theta \\ \frac{OPPOCITE}{ADJACENT} = tan\:\theta \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:\theta \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:\theta \\ \frac{ADJACENT}{OPPOCITE} = cot\:\theta[/tex]

We must use trigonometry to help us find the direction of the aeroplane's resultant vector. Do as I do:

[tex]\displaystyle \frac{452}{767} = cot\:x \hookrightarrow cot^{-1}\:\frac{452}{767} = x; 59,488772482...° = x \\ \\ \boxed{59° \approx x}[/tex]

Now, we will use the Pythagorean Theorem to find the magnitude of the aeroplane's resultant vector. Do as I do:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 767^2 + 452^2 = c^2 \\ \sqrt{792593} = \sqrt{c^2}; 890,27692321... = c \\ \\ \boxed{890 \approx c}[/tex]

Therefore, the direction and magnitude of the aeroplane's resultant vector are approximately eight hundred ninety miles at an angle of elevation of fifty-nine degrees.

I am joyous to assist you at any time.

Select the correct answer. which equation is correctly rewritten to solve for x?

Answers

The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.

How to rewrite an equation?

A linear equation given in the form ax + b = c can be rewritten to solve for x as below:

ax + b = c

⇒ ax = c - b

∴ x = (c - b)/a

So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.

Calculation:

Given equation is -fx - g = h

Step 1: Adding 'g' on both sides

-fx - g + g = h + g

⇒ -fx = h + g

Step 2: Dividing by '-f' on both sides

-fx = h + g

⇒ -fx/-f = (h + g)/-f

x = (h + g)/-f

Therefore, the rewritten equation to solve for x is x = (h + g)/-f.

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Disclaimer: The given question was incomplete in the portal. Here is the complete question.

Question: Select the correct answer. which equation is correctly rewritten to solve for x?

Equation: -fx = h + g

A. x = (g - h)/f

B. x = (h - g)/-f

C. x = (h + g)/-f

D. x = (h + g)/f

What is the probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm

Answers

The probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm is 0.0418.

There are several sorts of mean in arithmetic, in particular in statistics. each implies serves to summarize a given institution of information, often to better recognize the general fee of a given record set.

They imply (aka the mathematics mean, extraordinary from the geometric imply) of a dataset is the sum of all values divided with the aid of the entire variety of values. it is the maximum commonly used a degree of crucial tendency and is regularly referred to as the “average.”

Common can truely be described as the sum of all of the numbers divided by means of the entire quantity of values. An average is described as the mathematical common of the set of or more statistics values. common is commonly described as implying or arithmetic mean. mean is really a method of describing the average of the sample.

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In a bag of 10 marbles, there are 4 blue, 3 red, 2 green,
and 1 yellow. What is the probability that you draw one
marble that is blue, replace it, and draw another marble
that is red?
Enter your answer as a fraction in lowest terms. Do not add
spaces to your answer. (EX: 1/2)

Answers

Answer: 1/8

Step-by-step explanation:

what is the temperature in Celsius? (LOOK AT PIC)

Answers

Answer:

21

Step-by-step explanation:

(69.8-32)×(5/9)=21

Can someone help me on these problems and show work please !

Answers

Answer:

1. 3 terms; degree 5

2. 2 terms; degree 3

3. 9mn³ + 14mn²

4. 9a^4b^3

Step-by-step explanation:

Problems 1 - 2:

Each product of a number and variables is a term. The number may be 1, so it is not written. Also, a term may not have a variable.

The degree of a term is the sum of the exponents of all the variables of the term. A plain variable, such as x has an exponent of 1 which is not written but must be added to determine the degree.

The degree of the polynomial is the same as the degree of the term with the highest degree.

1.

3 terms

degree 5

2.

2 terms

degree 3

Problems 3 - 4:

Combine like terms. Like terms have the same variables and exponents.

3.

6mn³ - mn² + 3mn³ + 15mn² =

= 6mn³ + 3mn³ - mn² + 15mn²

= 9mn³ + 14mn²

4.

a^4b^3 + 8a^4b^3 =

= 1a^4b^3 + 8a^4b^3

= 9a^4b^3

Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.



Sam buys milk from a different shop. He writes an equation for the amount he spends on milk, p = 3.4g, where p is the cost and g is the gallons of milk bought. Who buys milk at a lower rate, and what is the price?

Answers

Using a proportional relationship, it is found that Sam buys milk at a lower rate, of $3.4 per gallon.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, Edwin's graph goes through (2,7), hence the price is:

p = (7/2)g = 3.5g.

3.5 > 3.4, hence Sam buys milk at a lower rate, of $3.4 per gallon.

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help me I need help now!!

Answers

what help? how can i help you?

l=10m,b=8m,h=5m
Please answer​

Answers

Step-by-step explanation:

we have given

l=10m

b=8m

h=5m

volume =?

area=?

volume =l*b*h

= 10*8*5

=400

area=2(lb+lh+bh)

=2(10*8+10*5+8*5)

=2(80+50+40)

=2(170)

=340

hope this is helpful please make me brainliest

If a = √3-√11 and b = 1 /a, then find a² - b²​

Answers

If [tex]b=\frac1a[/tex], then by rationalizing the denominator we can rewrite

[tex]b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8[/tex]

Now,

[tex]a^2 - b^2 = (a-b) (a+b)[/tex]

and

[tex]a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8[/tex]

[tex]a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8[/tex]

[tex]\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}[/tex]

Triangle A B C. Side A B is 4, B C is 5, A C is 3. Triangle A prime B prime C prime.

If the scale factor for the dilation shown is 3, which is the length of B'C'?
5/3
8
12
15

Answers

Answer:

The correct answer is 15.

Step-by-step explanation:

We are given that the original sides BC is 5.  To find the length of B'C' we take the side of BC and multiply it by the scale factor.

5 (original BC) x 5 (the given scale factor) = 15

Answer:

15

Step-by-step explanation:

correct on edge 2023

How could the relationship of the data be classified? (1 point)

(see photo)

A fairly strong positive correlation

A fairly weak positive correlation

A fairly strong negative correlation

A fairly weak negative correlation

Answers

The relationship of the data can be classified as a fairly strong positive correlation.

What is positive correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Positive correlation is when two variables move in the same direction. If one variable increases, the other variable also increases. When there is a positive correlation, the graph of the variables is upward sloping

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A rectangle is 2 feet long and
x+10) feet wide. What is the area?
A. (2x + 10) ft²
C. (22x) ft²
B. (2x + 20) ft²
D. (20x) ft²

Answers

Answer:

(2x + 20) ft^2.

Step-by-step explanation:

Area  = length * width

         =   2 * (x + 10)

         = (2x + 20) ft^2.

A surveyor measures the angle of elevation of the top of a mountain from a point at
sea level as 20◦. She then travels 1000 m along a road that slopes uniformly uphill
towards the mountain. From this point, which is 100 m above sea level, she measures
the angle of elevation as 23◦. Find the height of the mountain above sea level, correct to
the nearest metre.
(use sin rule/ cos rule)

Answers

The height of the mountain from a point a sea level is approximately 1496.650 meters.

What is the height of mountain from sea level?

First, we construct the geometric diagram of the situation and find all needed angles and sides to determine the height of the mountain. First, we determine the missing side x by the law of sines:

Law of sines

1000 m/sin 3° = x/sin 14.261°

x ≈ 4706.886 m

Now we determine the height of the mountain by trigonometric functions:

h = 100 m + (4706.886 m) · sin 17.261°

h ≈ 1496.650 m

The height of the mountain from a point a sea level is approximately 1496.650 meters.

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TRUE OR FALSE: No matter the population distribution from which a sample of size n is taken, we can use the normal distribution to approximate the distribution of the sample mean as long as n is large enough.

Answers

Answer:

true

Step-by-step explanation:

mean we show up the distribution

Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?

Answers

The angle between their paths to the nearest degree is 68⁰.

Displacement of each boats after 45 minutes

first displacement, a = 15 km/h  x (45/60)

first displacement, a = 11.25 km

second displacement, b = 18 km/h  x (45/60)

                                     b = 13.5 km

Angle between their paths to the nearest degree

c² = a² + b² - 2ab(cosθ)

2ab(cosθ) = a² + b² - c²

cosθ =  (a² + b² - c²)/(2ab)

cosθ = (11.25² + 13.5² - 14²) / (2 x 11.25 x 13.5)

cosθ = 0.371

θ = arc cos(0.371)

θ = 68.22 ⁰

Thus, the angle between their paths to the nearest degree is 68⁰.

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The perimeter of square JKLM is 48 units.

Square J K L M is shown. The length of J K is x + 3.

What is the value of x?
6
9
12
15

Answers

Perimeter = 4 x sides
48 = 4 (x + 3)
48 = 4x + 12
36 = 4x
x = 9

Check:
x + 3 = 9 + 3 = 12
12 x 4 = 48

Answer:

9

(Correct On Edgen)

Do you do boblox if so send me a request my acc is ravenonperks.

Answers

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all of these are legal c statements; which of them uses the c dereferencing operator? int a = 3, b = 4; Use your calculator to find the trigonometric ratios sin 79, cos 47, and tan 77. Round to the nearest hundredth Brainstorm how human activity can have a beneficial,neutral, or detrimental effect on plants On Jan. 1, 2016 Johnson Consulting purchased a truck for $12,000. The truck was expected to last 60 months and have no salvage value. Calculate the book value of the truck after two years?A.) $4,800B.) $7,200C.) $11,600D.) $12,000 Which of the following words in the Iliad refer to Greeks? Choose all correct answers.-Danaans-Argives-Achaeans test the series for convergence or divergence. 6/7 6/9 + 6/11 6/13 + 6/15 .... PromptUsing complete sentences post a detailed response to the following. Imagine that you are a celebrity who is Deaf (you can choose whether you are a movie star, singeranything, really!), and you are being interviewed on the red carpet about your experience as a Deaf person in the public eye. The nations (and maybe even the worlds!) eyes are on you. Consider and explain if and what you would share about your experience being Deaf so that others might better understand what it is like, what challenges you face, and the overall impact it has had on your life which statement would a frederalist be most likely to agree with mark is spearheading an important project for his firm. every day he receives countless emails from his direct supervisor, the managers of three other departments, and numerous colleagues with suggestions and guidelines regarding features the project must include, budget requirements, and scheduling needs. what can mark do to regulate the information flow and reduce the overload he is experiencing? a.he could not pass too much information through the system at one time. b.he could call attention to the fact that he is being asked to do too many things at once. c.he could try to understand why so many people are sending him information. d.he could respond to the messages in a way that would establish his credibility. 2.Who was Medgar Evers? Arican American Civil3. Who was Bobby De Laughter?4. What was the southern (white) reaction to the assassinationof Medgar Evers in 1963?.5. What is a hung jury?________6. Where did Bobby De Laughter discover the rifle thatkilled Medgar Evers?_7. What was missing from the original trial?8.How did Beckwith's first 2 trials end?who was bobby de laughter find the minimum diameter of a 49.5-m-long nylon string that will stretch no more than 1.49 cm when a load of 71.9 kg is suspended from its lower end. assume that ynylon = 3.51109 n/m2. If we choose to focus on the 7 "dramatis personae" of a fairy-tale, we would be following which interpretive approach? Structuralist Psychoanalytic Feminist Ritualistic explain the purpose of a juvenile waiver and discuss why they are controversial. The Romans believed every human being deserved rights, even slaves. Ammonium metavandate reacts with sulfur dioxide in acidic solution as follows (hydrogen ions and H2O omitted):xVO3 + ySO2 xVO2+ + ySO42The ratio x : y isa.1 : 3b.3 : 1c.2 : 1d.1 : 2e.1 : 1 jay and amile go trick-or treating. initially, jay gets skittles and amile gets a kit-kat. neither of them has to pay anything for this candy. their valuation of each good is given in the table below. they decide to trade. what is the new total economic surplus? The marginal cost of producing a certain commodity is C'(q)=11q+4 dollars per unit when "q" units are being produced.a) What is the total cost of producing the first 6 units?b) What is the total cost of producing the next 6 units? other than credit card usage, what are some other reasons people say they are in debt? do their reason for carrying debt seem valid to you? find the area of the region. y2 = x2(1 x2) A vertical, 1.24-m length of 18-gauge (diameter of 1.024 mm) copper wire has a 160.0-N ball hanging from it.a. What is the wavelength of the third harmonic for this wire?b. A 500.0 N ball now replaces the original ball. What is the change in the wavelength of the third harmonic caused by replacing the light ball with the heavy one?