Complete the net worth statement. What is the net worth of the individual?
A) $171,645
B) $19,950
C) $21,000
D) $26,595

Answers

Answer 1

Considering it's concept, it is found that the net worth of the individual is given by:

D) $26,595.

What is the net worth of an individual?

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

Researching the problem on the internet, we have that:

The sum of the assets, in dollars, is of 545 + 165000 + 6100 = 171645.The sum of the liabilities, in dollars, is of 144000 + 1050 = 145050.

Hence, his net worth is given by:

N = 171645 - 145050 = $26,595.

More can be learned about net worth at https://brainly.com/question/12371230

Answer 2

The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.

What is the net worth?

The net worth is the value of assets less the value of liabilities.

The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.

Data and Calculations:

Assets = $171,645

Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)

Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.

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Related Questions

Jeff had $20 he spent 1/5 of his money on lunch how much money does Jeff have left

Answers

Answer:

4

Step-by-step explanation:

had to look it up but do 20 x 0.2 (1/5) and u get 4

He had 4 left if you just multiply 20 and .2 you get your answer

Find the measure of the following arc.

mJH = ____

Answers

Step-by-step explanation:

the inner angle of 2 crossing segment lines is half of the sum of the 2 arc angles.

55 = (arc angle IG + arc angle JH)/2 = (76 + JH)/2

110 = 76 + JH

arc angle JH = 34°

The required arc angle JH measures 34 degrees.

What is a chord?

In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.

Given the problem, we are given that the inner angle measures 55 degrees. Thus, we can set up an equation using the formula and solve for the unknown value.

The equation is given as follows:

55 = (arc angle IG + arc angle JH)/2

We know that the arc angle IG measures 76 degrees, so we can substitute this value into the equation:

55 = (76 + arc angle JH)/2

Multiplying both sides of the equation by 2 yields:

110 = 76 + arc angle JH

Subtracting 76 from both sides of the equation gives:

arc angle JH = 34°

Therefore, the arc angle JH measures 34 degrees.

Learn more about chords here:

https://brainly.com/question/30009947

#SPJ2

can you show me how to do this problem 11/5 + 23/10 =​

Answers

Answer:

The answer to the problem is 4 1/2

Answer:

9/2

Step-by-step explanation:

the answer is 9/2 or 4.5,

the solution for that I have attached below

MARK ME AS BRAINLIST

3 times the age of Felicia is 4 more than the age of Asare.in 3 years,the sum of their ages will be 30 years,find their present age​

Answers

Answer:

Asare is 17 and Felicia is 7.

Step-by-step explanation:

let x be felicia's current age and y be asare's age. The equation for their age is y=3x-4. If 3x-1 + x+3 = 30, that means that 4x+2=30, so 4x=28. If 4x=28, x=7. Felicia is 7 and 3*7-4=17.

What is the sum of 1/4 and 5/12 ?

Answers

Answer: 8/12

Step-by-step explanation:

1/4 times 3 will give you 3/12 and add 5/12

Find the area
Can someone pls help me?

Answers

If I’m correct the area is 48

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width

Answers

Answer:

Width: 11.5 inches; Length: 16.5 inches

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=56

4w=46

w=11.5, l=16.5

Answer:

Length = 16.5 inches

Width = 11.5 inches

Step-by-step explanation :

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 56 in and we are to find the length and width of the rectangle. So,

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

Now, According to the Question :

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 56 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 56 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 56 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x = 56 - 10}}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x = 46}}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{46}{4} }}}}[/tex]

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 11.5}} }}} }\: \: \bigstar[/tex]

Therefore,

The width of the rectangle is 11.5 inches .

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 11.5 + 5 }}}}}[/tex]

[tex]{\longrightarrow \qquad{\underline{\boxed { \frak{\pmb{Length = 16.5}}}}}} \: \: \bigstar[/tex]

Therefore,

The length of the rectangle is 16.5 inches .

1. Match the picture of the triangle to the correct name for its center,

Answers

Answer:

1. d    2. a     3. c     4. b

Step-by-step explanation:

[tex]1.d\ \{The\ intersection\ of\ three\ high\ lines\}[/tex]

[tex]2.\ a[/tex]

[tex]3.\ C[/tex]

[tex]4.\ b\ \{The\ intersection\ of\ three\ angular[/tex]

       [tex]bisectors\}[/tex]

I hope this helps you

:)

Answer:

dbca

Step-by-step explanation:

Various centers are defined for a triangle, depending on how they're constructed. Here, you're asked to match the construction with the name.

__

Orthocenter

The orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.

Figure D depicts the intersection of altitudes.

__

Incenter

The incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.

Figure B depicts the intersection of angle bisectors.

__

Centroid

The centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.

Figure C depicts the intersection of medians.

__

Circumcenter

The circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.

Figure A depicts the intersection of perpendicular bisectors of the sides.

Suppose that f(x)=6/x^7 find the following

F’(2)
F’(-1)

Answers

Answer:

f’(2) = -21/128

f’(-1) = -42

Step-by-step explanation:

We are given a function:

[tex]\displaystyle \large{f(x)=\frac{6}{x^7}}[/tex]

We want to evaluate f’(2) and f’(-1). Keep in mind that f’(x) denotes or means the derivative of f(x). So what we are going to do first is to find the derivative of given function.

Derive the function, there are two ways to derive it, either using power rules or quotient rules. For this, I’ll demonstrate two methods.

Power Rules

If [tex]\displaystyle \large{f(x)=x^n}[/tex] then [tex]\displaystyle \large{f\prime (x)=nx^{n-1}}[/tex] where n is any real numbers.

Since the function is written in a fraction form, we’ll have to convert it to the x^n form using law of exponent.

[tex]\displaystyle \large{f(x)=\frac{6}{x^7} \to f(x)=6\cdot \frac{1}{x^7}}[/tex]

Law of Exponent I

[tex]\displaystyle \large{\frac{1}{a^n} = a^{-n}}[/tex]

Therefore:

[tex]\displaystyle \large{f(x)=6x^{-7}}[/tex]

Then derive the function using power rules:

Property of Differentiation I

[tex]\displaystyle \large{y=kf(x) \to y\prime = kf\prime (x)}[/tex] where k is a constant.

[tex]\displaystyle \large{f\prime (x)=6\cdot -7x^{-7-1}}\\\displaystyle \large{f\prime (x)=6\cdot -7x^{-8}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]

Quotient Rules

[tex]\displaystyle \large{y=\frac{f(x)}{g(x)} \to y\prime = \frac{f\prime (x)g(x)-f(x)g\prime (x)}{[g(x)]^2}}[/tex]

If f(x) = k or a constant then:

Property of Differentiation II

[tex]\displaystyle \large{y=k \to y\prime = 0}[/tex] for k is a constant.

[tex]\displaystyle \large{y=\frac{k}{g(x)} \to y\prime = \frac{0\cdot g(x)-kg\prime (x)}{[g(x)]^2}}\\\displaystyle \large{y\prime = \frac{-kg\prime (x)}{[g(x)]^2}}[/tex]

Therefore:

[tex]\displaystyle \large{f\prime (x)=\frac{-6\cdot 7x^{7-1}}{[x^7]^2}}\\\displaystyle \large{f\prime (x)=\frac{-42x^6}{x^{14}}}\\\displaystyle \large{f\prime (x)=-42x^{6-14}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]

Laws of Exponent used above:

[tex]\displaystyle \large{(a^n)^m = a^{nm}}\\\displaystyle \large{\frac{a^n}{a^m} = a^{n-m}}[/tex]

Therefore the derivative of function is:

[tex]\displaystyle \large{f\prime (x) = -42x^{-8}}[/tex] or [tex]\displaystyle \large{f\prime (x)=-\frac{42}{x^8}}[/tex]

Next is to substitute x = 2 and x = -1 in the derivative.

[tex]\displaystyle \large{f\prime (2)=-\frac{42}{2^8}}\\\displaystyle \large{f\prime (2) = -\frac{42}{256}}\\\displaystyle \large{f\prime (2)= -\frac{21}{128}}[/tex]

And:

[tex]\displaystyle \large{f\prime (-1)=-\frac{42}{(-1)^8}}\\\displaystyle \large{f\prime (-1) = -\frac{42}{1}}\\\displaystyle \large{f \prime (-1) = -42}[/tex]

Therefore, f’(2) = -21/128 and f’(-1) = -42.

What is the philtrum?
A. The creases in your lips
B. Centered and above your top lip where it dips down
C. Parts of your eyelids
D. The space between your nostrils

Answers

Answer:

Center and above your top lip where it dips down....

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

Answers

Answer:

Width = 12in, Length = 17in

Step-by-step explanation:

We can create two expressions from the given statements:

1) L (length) = 5 + W (width)

and

2) 58 = 2L + 2W (the equation for rectangular perimeter)

Substituting L from the first equation into the second equation yields:

58 = 2(5+W) + 2W

Distributing the 2 and solving for W yields:

12in = W

Plug this back into the first expression,

L = 5 + 12

L = 17in

Answer:

width = 12 in

length = 17 in

Step-by-step explanation:

Let width of rectangle = x

⇒ length of rectangle = x + 5

Given:

Perimeter = 58 in

Perimeter = 2 × width + 2 × length

⇒ 58  = 2x + 2(x + 5)

⇒ 58  = 2x + 2x + 10

⇒ 58  = 4x + 10

⇒ 48  = 4x

⇒ x = 12

Therefore,

width = x = 12 in

length = x + 5 = 12 + 5 = 17 in

                 

Help help help ASAP sap

Answers

Answer:

132

Step-by-step explanation:

since they are 180 degrees subtract

Answer:

132

Step-by-step explanation:

since this is a 180 degree angle ABC will be

180-48

132

5. Gavin makes a homemade cleaner using į cup vinegar
for every 2 quarts of water.

Answers

Answer:

For every 2 quarts of water, ¹/₂ cup of vinegar is used.

⇒ To find the amount of vinegar, divide the number of quarts by 4.

⇒ To find the number of quarts, multiply the amount of vinegar by 4.

4 qt water = 4 ÷ 4 = 1 cup vinegar

1¹/₂ cups vinegar = 1¹/₂ x 4 = 6 qt water

8 qt water = 8 ÷ 4 = 2 cup vinegar

Plot the points on the graph (see second attached image).

Draw a line through the points.

Find 3 along the x-axis and trace up to the line. Trace along to the y-axis.

Therefore, Gavin would need to use 12 quarts of water with 3 cups of vinegar.

HELP ME! PLEASE!

Help me!j

Answers

Answer:

C is the correct answer hope i helped

Step-by-step explanation:

Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.
Select all the batches that will create the same colors as the first batch.
A. Batch 2
B. Batch 3
C. Batch 4
D. Batch 5
E. Batch 6

Answers

Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

Step-by-step explanation:

D batch 5

c. batch 4

so d and c

I'm stuck on this...

Answers

Answer:

A. 65

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is always 180 degrees. This means that j+k+l = 180. j is equal to l, so I can rewrite this as k+2j = 180. k is 50, so 50+2j is 180, and 2j is 130. This means that j is 65.

Answer:

A. 65°

Step-by-step explanation:

We are given that <J ≅ <L  

We know that all angles in a triangle = 180°

K + J + L = 180

50 + 2J = 180

2J = 130

<J = 65°

I hope this helps!

Sam has a small paper delivery business. His parents require him to to save $1 every $5 he earns. If he made $200, how much would he need to save

Answers

I believe it would be $40
If not message me and i’ll try to help

There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 red?

Answers

Answer:

1/4 is the correct answer

Step-by-step explanation:

Even after replacing the marble the propability will not chance.

Drag each figure to show if it is similar to the figure shown or why it is not similar.

Answers

1st one - not similar diff ratio2nd- similar3rd- not similar diff shape4- not similar diff ratio5- similar6- not so sure but i would go w either not similar diff shape or similar

SOMEONE PLSSS HELP ME FAST
WILL MARK BRAINLIEST

Answers

Answer:

D. 45

Step-by-step explanation:

To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.

2 people gets 1 games

+1                    +2

3 people get 3 games

+1                    +3

4 people get 6 games

So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.

6 people get 15 games

+1                   +6

7 people get 21 games

+1                   +7

8 people get 28 games

+1                    +8

9 people get 36 games

+1                   +9

10 people get 45 games

Please help

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Solve for x.

7.5x11=4.85

Enter your answer as a decimal in the box.

x =

Answers

7.5x11 = 4.85

82.5x = 4.85

*divide 82.5 on both sides*

x = 4.85 ÷ 82.5

x = 0.058788

Answer:

0.058787879

Step-by-step explanation:

(7.5)(x)(11)=4.85

82.5(x)=4.85

x=4.85÷82.5

x= 0.058787879

50 points

Maya puts groceries into bags. The terms and their weights in kilograms are given below.

Bread 0.27

Bananas 49/100

Cheese 75/100

Carrots 0.49

Grapes 27/100

Eggs 0.75

Plot the weight in kilograms of each item on the number line below
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖​

Answers

Answer:

  see attached

Step-by-step explanation:

The values are plotted on the number line attached.

__

Each value is represented on the list both as a fraction and as a decimal. Equal values map to the same point on the number line.

  0.27 = 27/100

  0.49 = 49/100

  0.75 = 75/100

The location on the number line is found by effectively dividing the distance between 0 and 1 into 100 parts, then locating the point on the corresponding division. The attached number line shows the interval divided into 50 parts, so the given values will lie halfway between the grid marks on this number line.

Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70

Answers

Answer:

3t - t.t.t +3(-2t) + t

3t - t³ - 6t + t

3t - 6t + t - t³

-2t - t³

Option A is correct

Look at the image below. What is the area of the parallelogram? by Middle School

Answers

Apply Pythagorean theorem

[tex]\\ \rm\rightarrowtail B^2=2.2^2-2^2[/tex]

[tex]\\ \rm\rightarrowtail B^2=5-4[/tex]

[tex]\\ \rm\rightarrowtail B^2=1[/tex]

[tex]\\ \rm\rightarrowtail B=1[/tex]

Base=1+3=4

Area:-

Base×Height4(2)8units^2

Answer:6

Step-by-step explanation:

I did the test

Find the mass of an object that has a weight of 910kg

Answers

Answer:

91kg

Step-by-step explanation:

weight= mass × gravitational force

910kg = m× 10ms^-2

m= 910÷ 10

m= 91

A cube has an edge of 2 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube(third power) of the length of a side.

v(m)=???? feet^3

Answers

Answer:

V(m) = [tex](4m+2)^3[/tex]

Step-by-step explanation:

The edge of the cube is increasing by 4 feet every minute

V(m) = [tex](4m + 2)^3[/tex]

Two is the starting sidelength of the cube, and 4m is how many feet the side of the cube has grown, depending on the number of minutes that have passed

Write the equation of the trigonometric graph.


Answers

Answer(s):

[tex]\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = 4cos\:2x[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{1}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{\pi}{4}, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Find the values of x for which the denominator is equal to zero for 3x+5/x-6 .

x = 6

none

x = −5

x = −6

Answers

Answer:

x=6

Step-by-step explanation:

please mark me as brainlest

If total assets increased $150,000 during the year and total liabilities decreased $60,000, what is the amount of owner’s equity at the end of the year?

Answers

Answer:

$710,000

Step-by-step explanation:

The computation of the owner’s equity at the end of the year is given below:

We know that

The accounting equation equals to

Total assets = Total liabilities + owners equity

where,

Total assets = $800,000 + $150,000 = $950,000

And, the total liabilities = $300,000 - $60,000 = $240,000

So, the owners equity at the end of the year would be

= $950,000 - $240,000

= $710,000

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Because business writing focuses so much on form, we call itO unifiedO specificO formalo informal Help picture below problem 15 Which verb form correctly completes this sentence? Jean a achet une robe pour sa copine afin quelle ________ heureuse.A. estB. seraC. soitD. sois If troponin is a component of both cardiac and skeletal muscle, why is an elevated plasma troponin level useful in diagnosing myocardial damage?. simplify 1/2+3/4-2/7(1/3+2) Read the passage.A Flag with 50 StarsThe first American flag to have red and white stripes and white stars on a blue field was flown in 1776, shortly after the United States declared its independence from Great Britain. Legend has it that a Philadelphia seamstress named Betsy Ross was hired by George Washington himself to create this flag. There is no evidence that this legend is true, and no one knows for certain who made the first flag, which had 13 stars and 13 stripes. However, we know for a fact that the first flag to have 50 starsthe one we have todaywas designed by a high school student. In 1958, Bob Heft was a 17-year-old student at Lancaster High School in Ohio. At that time, the United States had only 48 states but was on the verge of accepting two more: Alaska and Hawaii. The U.S. flag at the time had six neat rows of eight stars each. What would be the best way to add two more stars while keeping the arrangement neat and orderly? This was the question that Bobs history teacher posed to the class. The teacher gave the students an assignment: design a flag with 50 stars. Bob spent hours in the attic of his house, cutting up a 48-star flag and rearranging the stars until they fit just right. He was pleased with his solution to the problem, but his teacher found it less than perfect and gave him a B minus. Outraged, Bob told his teacher that he was going to send his design to his member of Congress, Walter Moeller. His teacher replied that if Bobs design was accepted as the new flag, he would be more than happy to change the grade to an A. A year later, Bob had graduated and was working as a draftsman when he received a call at work. He never would have imagined a call from President Eisenhowerbut that's who it was! Now that Alaska and Hawaii had been admitted as states, Congressman Moeller had succeeded in having Bob's design chosen as the new U.S. flag. Bob Heft was invited to Washington, D.C., for a ceremony during which his design was officially adopted as the new flag of the United States.Which statement best describes the authors viewpoint toward Bob Heft in A Flag with 50 Stars?Bob should not have contacted a member of Congress about a trivial matter.Bob was not a very good student at Lancaster High School.Bob should not have spent so much time on his project.Bob's grade did not reflect the outcome of the story. A chemistry assignment has a student conduct a single replacement reaction by adding 7.5g of sodium metal to 20.0g of aluminum chloride. How much aluminum in moles would precipitate out as a result of the reaction if a new baseball is labeled $36 what would the new price be if the sign above said 41% off Can I Get Some Help PLEASEEEE i Will Give Brainliest if you tell how to do it after you answer it correctly3. Summarize patient A's history: Chromosomes obtained from a nearly full term fetus of a 40 year old female.Which chromosome set has an extra? _diagnosis______What diagnosis would you give this patient (what abnormality)? ______________Summarize patient B's history:Summarize the history of patient: Find the smallest side of APQR, given that mZP = 46, mZR = 97, and m2Q =37, Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?A. A square is both a rhombus and a parallelogram.B. A pentagon has five sides but is not a parallelogram.C. A rectangle is a parallelogram.D. A rhombus is a parallelogram but is not a rectangle. A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 secondsWhat is the acceleration?- 13 m/s-6m/s6 m/s13 m/s