Expand.
This question is worth 50 points!

Expand. This Question Is Worth 50 Points!

Answers

Answer 1

Answer:

the answer is (a) x² - 2hx + h²

Step-by-step explanation:

(x-h)² = (x-h)(x-h) = x(x-h)-h(x-h)

x² - hx -hx + h²

= x² - 2hx + h²

Answer 2

Answer:

A) x² - 2hx + h²

-----------------------------

Use the identity:

(a - b)² = a² - 2ab + b²

Substitute a = x, b = h to get:

(x - h)² = x² - 2hx + h²

This is the option A.


Related Questions

Use the quadratic formula to find the solutions to the equation y = 5x² - 9x + 3.
What are the zeros of the equation?

Answers

On solving the provided question, we can say that the quadratic equation is  y = 5x² - 9x + 3 this quadratic equation can not factorized further

What is quadratic equation?

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is

y = 5x² - 9x + 3

this quadratic equation can not factorized further

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Question content area top Part 1 Without using paper and​ pencil, how would you find the sum of 8.8 and 5.5 and ​?

Answers

The sum of 8.8 and 5.5 is 14.3

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

To find the sum of 8.8 and 5.5 without using pen and pencil:

First, we break the term in simple manner.

8.8 = 8 + 0.3 + 0.5

And 5.5 = 5 + 0.5

And now adding the terms one by one,

0.5 + 0.5 = 1.0

0.3 = 0.3

8 + 5 = 13

Addition,

13 + 1 + 0.3 = 14.3

Therefore, the value is 14.3

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What are the 15 types of angles?

Answers

There are various classifications of angles, some of which include: Acute angles, Right angles, Obtuse angles, Straight angles, Reflex angles,  Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles, Alternate interior angles, Alternate exterior angles, Corresponding angles, Conjugate angles, and Explementary angles.

It's important to note that this is not an exhaustive list and the classification may vary depending on the context.

Acute angles which measure less than 90 degrees, Right angles that measure exactly 90 degrees, Obtuse angles that measure more than 90 degrees but less than 180 degrees.

There is also Straight angles that measure exactly 180 degrees, Reflex angles that measure more than 180 degrees but less than 360 degrees, Complementary angles which add up to 90 degrees, Supplementary angles which add up to 180 degrees.

Then there is Adjacent angles that share a common vertex and a common side but no common interior points, Linear pair which add up to 180 degrees and share a common side, Vertically opposite angles that are formed by two intersecting lines and are opposite to each other, Alternate interior angles that are formed by two intersecting lines on opposite sides of a transversal and inside parallel lines, Alternate exterior angles that are formed by two intersecting lines on opposite sides of a transversal and outside parallel lines, Corresponding angles that are formed by two intersecting lines in the same relative position.

Conjugate angles are angles which are supplementary but non-adjacent, and Explementary angles are angles which add up to 90 degrees.

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How does the value of a number change when you divide by 10 100 1000?

Answers

Answer: It gets smaller

Step-by-step explanation: When you divide something by anything, the place value of the digits decreases. The digits move to the right since the number gets smaller, but remember, the decimal point does not move.

What type of graph is absolute value?

Answers

On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. f has absolute minimum value is 0, and it also has the same relative minimum value (0,0).

What does an absolute value graph look like?

On the graph, you are able to see a "open circle" at it when x< 0. (0, 0).

This is due to the fact that, as we've previously demonstrated, the points at y = x approaching (0, 0) as the x-values approach 0.Since x needs strictly be less than zero on only this stretch, the open circle being drawn in its place.When x ≥  0, a point in (0, 0) is plugged in, thus "plugging" the hole shown by either open circle.Therefore, we get:On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. Function f absolute minimum value is 0, and it also has the same relative minimum value (0,0).F has absolute minimum value is 0, and it also has the same relative minimum value (0, 0). F's highest relative value is zero.

There consequently no absolute maximum value of f due to the graph's infinitely high y values.

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highschool algebra:
combine like terms-

Answers

-1a^m , 2a^n


hope this helps :)

Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. If you created a label for this product. What is the length of this label?


2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?


suppose the price of each vial is $5.00. What is the cost of a box?

Answers

1: 2cm. ‎
2: 2cm ‎
3: 12cm

108% of 75.5 is what number

Answers

Answer:

81.54

Step-by-step explanation:

% of a # = (% * #)/100

% = 108
# = 75.5

(108 * 75.5)/100

8,154/100

81.54

OR

% of a # = (%/100) * #

% = 108
# = 75.5

(108/100) * 75.5 = 1.08 * 75.5

81.54

How do you find the asymptotes and zeros of a function?

Answers

The process to find the asymptote and zeros of the function is explained below.

The term asymptote is referred as a horizontal/vertical/slant line to which the curve is very close to but the curve doesn't touch the asymptote.

Here we need to find the way to identify the asymptotes and zeros of a function.

The process of finding the asymptote is defined as,

If you want to find the horizontal asymptotes, then apply the limit x→∞ or x→ -∞.

Where as if you want to find the vertical asymptotes, then apply the limit y→∞ or y→ -∞.

Finally, if you want to find the slant asymptote, then divide the numerator by the denominator.

The process of finding the zero of the function is defined as the way to find the values of x where f(x) = 0.

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How do you find an inverse?

Answers

Answer:

by using 1 to divide the value

Step-by-step explanation:

the inverse of 5/8 is 8/5.

Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. Add: 3a 3 8a - 6 and 4a 2 - 9a 11

Answers

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.

The answer in descending powers of a is 3a³ + 4a² - a + 5.

A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11                                        

(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5

The coefficients of  a³, a², a and 1 is 3, 4, -1 and 5 respectively.                      

Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.

--The question is incomplete, answering to the question below--

"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.

Add: 3a³ + 8a - 6 and 4a² - 9a + 11"

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Write the equation of the line that passes through the points (6, 1) and
(6, -8). Put your answer in fully simplified point-slope form, unless it
is a vertical or horizontal line.

Answers

something noteworthy is that the x-coordinate is the same for each point, so Check the picture below.

What is the horizontal line on a graph?

Answers

The horizontal line of the graph is known as x axis,

The term graph in math is defined as the visual representation of data or the function in math.

Here we have to find the definition for the horizontal line on a graph.

Here we know that the straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.

On the other hand, we all also know that the straight line that does not make any intercept on the X-axis and it can have an intercept on Y-axis is called horizontal line.

And we all also know that the straight line that is parallel to the x-axis and where all the points on the line have the same y-coordinate and basically all horizontal lines are parallel to each other.

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What is the additive inverse of 6 /- 5 of Class 8?

Answers

The additive inverse of 6 /- 5 is 6/5

We know that for any real number 'a' an additive inverse is a number 'b' such that a + b = 0

i.e., b = -a

An additive inverse of 'a' is -a.

The means, an additive inverse is nothing but changing sign + to - OR - to +

Here we have been given a rational number 6/(-5)

Let m be the additive inverse of number 6/(-5)

From the definition of additive inverse,

6/(-5) + m = 0

[6/(-5) + m] - 6/(-5) = -6/(-5)            

[6/(-5) - 6/(-5)] + m= -6/(-5)       ...........(associative property of addition)

0 + m =  6/5

m = 6/5

Hence, the additive inverse is 6/5

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Mark purchased 3 hotdogs and 2 pretzels for $7.50. Mary’s purchased 2 hotdogs and 4 pretzels for $7. How much is each item

Answers

Answer:

Hotdog costs $2 and pretzel costs $0.75

--------------------------

Let the cost of a hotdog be h and pretzel be p.

Set up equations as per question:

3h + 2p = 7.52h + 4p = 7

Divide the second equation by 2, then subtract from the first one:

3h + 2p - 2h/2 - 4p/2 = 7.5 - 7/23h - h = 7.5 - 3.52h = 4h = 2

Now find the value of p:

3*2 + 2p = 7.56 + 2p = 7.52p = 1.5p = 0.75

Hotdog costs $2 and pretzel costs $0.75.

please help it's for a test Which is an x-intercept of the graph of the function y=tan(x-5 pie/6)?

Answers

Answer:

5pie/6,0

Step-by-step explanation:

i graphed it

Which is equivalent to the ratio 35 : 100?

Answers

Answer: 7:20

Step-by-step explanation:

It seems like there are no options to choose from, but if that is one of the options, here's how:

You can simplify ratios by finding if there is a common multiple.

For 35 and 100, there is a common multiple of 5, so you can divide both sides by 5 to simplify the equation.

That leaves us with 7:20. Since one is a prime number, we can't simplify this further.

Answer:

The ratio equivalent to 35:100 is 7:20

Step-by-step explanation:

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,

Given ratio,

= 35 / 100

= 5× 7 / 20 × 5

= 7 / 20

(NEED HELP ASAP!!)

What are the coordinates of the focus of the parabola?


A: (8, 6)

B: (-8, 6)

C: (-8, 2)

D: (8, 2)

Answers

Answer:

C:  (-8, 2)

Step-by-step explanation:

Given parabola:

[tex]y=-\dfrac{1}{8}x^2-2x-4[/tex]

For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.  

Therefore, the x-value of the vertex of the given parabola is:

[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8[/tex]

To find the y-value of the vertex, input x = -8 into the given equation:

[tex]\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4[/tex]

Therefore, the vertex (h, k) of the parabola is (-8, 4).

The focus of the parabola is (h, k+p) where:

(h, k) is the vertex[tex]p=\dfrac{1}{4a}[/tex]

Therefore:

[tex]\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)[/tex]

man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip

Answers

Answer:1881 6040mph 18x

James is building a doll house that is proportional to his own house. He is using a scale of 0. 5inch = 1foot. If the doll house is 12. 3inches tall, how tall is his house. ?

Answers

James's house is 24.6 feet tall because he is using a scale of 0.5 inch per 1 foot. To get this measurement, he multiplied 12.3 inches (the height of the doll house) by 2.

1. Take the height of the doll house (12.3 inches).

2. Multiply 12.3 inches by 2.

3. The result is 24.6 feet which is the height of James's house.

James is building a doll house that is proportional to his own house. He is using a scale of

0.5 inch = 1 foot,

which means that for every 0.5 inch in the doll house, 1 foot is represented in his house. To calculate how tall his house is, we need to figure out how many inches the doll house is. The doll house is 12.3 inches tall. To get the height of James's house, we need to multiply this by 2. Thus, 12.3 inches multiplied by 2 equals 24.6 feet, which is the height of James's house. This is because for every 0.5 inch in the doll house, 1 foot is represented in his house. Therefore, with the scale of 0.5 inch = 1 foot, the height of James's house is 24.6 feet.

1. Determine the scale of the doll house (0.5 inch = 1 foot).

2. Measure the height of the doll house (12.3 inches).

3. Multiply 12.3 inches by 2.

4. The result is 24.6 feet which is the height of James's house.

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Find the lengths of the diagonals of rectangle WXYZ
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.

Answers

A rectangle is a four-sided geometric shape where opposite sides are parallel and congruent. The diagonals of a rectangle are two lines that connect the opposite corners of the rectangle, and they bisect each other at 90 degrees.

Briefly defined, what is rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Given the sides of rectangle WXYZ are WY = 14x + 10 and XZ = 11x + 22. We can find the length of the diagonals using the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the rectangle) is equal to the sum of the squares of the other two sides (the sides of rectangle)

Diagonal WX: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)

Diagonal YZ: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)

So, the lengths of the diagonals of rectangle WXYZ are √(317x^2 + 940x + 584) units.

Note that the diagonals of a rectangle are congruent and the value of x is not a known, the diagonal of rectangle is the value of the square root of the expression.

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Answer: 66

Step-by-step explanation:

I skipped it to see the answer hope this helps

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

( 8 + 27) + 52 and 8 + (27 + 52)

Which one is correct

yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent

Answers

Answer:

yes, it uses the Associative Property

Step-by-step explanation:

The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.

What do you call two angles whose measures have a sum of 180?

Answers

Answer:

supplementary angles

Step-by-step explanation:

for instance, 50 + 130 = 180.

Mariana spent $166.50 on games played at a laser tag arena
last year. If the laser tag arena charges $4.50 per game, how
many games did Mariana play at the arena last year?

Answers

Answer: 37

Step-by-step explanation:

divide the total that she spent over how much each game is (166.50/4.50). this will give you the number of games that she played.

A water sample must be taken from water at least 20 feet deep. Find the depth of the water feet from shore

Answers

The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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Please help! ;)
The vectors VN−→{−8;3} and MT−→{2;10} are given. Calculate: 7⋅VN−→3⋅MT−→ =
Answer: { ; }.

Answers

Answer:

Step-by-step explanation:

To calculate 7⋅VN−→3⋅MT−→, we need to perform scalar multiplication on the two vectors. Scalar multiplication is simply multiplying each of the components of the vector by the scalar value.

So for the first vector, we have: 7⋅VN−→ = {7⋅(-8); 7⋅3} = {-56; 21}.

For the second vector, we have: 3⋅MT−→ = {3⋅2; 3⋅10} = {6; 30}.

Then to add the two vectors, we simply add the corresponding components: {-56; 21} + {6; 30} = {-50; 51}.

Therefore, the final result is {-50; 51}.

Compute the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4.

Answers

The smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.

To compute this, first convert 5 to binary and base-4:

5 in binary: 101

5 in base-4: 11

Since 11 is the same in both bases, the next number that would be a palindrome in both bases is 11.

To find the base 10 number of this palindrome, we convert 11 from binary and base-4 to base 10:

11 in binary: 1011

11 in base-4: 111

Therefore, the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.

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15. Jess Norton stopped at an ATM location to deposit 2 one hundred-dollar
bills and checks for $474.85 and $321.15. He received $50.00 in cash.
16. Olive Baker, Spirit club treasurer, deposits the club's receipts. She has 4
checks for $10.00 each, 12 for $7.50, and cash consisting of six 20-dollar
bills, five 10-dollar bills, and 18 one-dollar bills.
17. Cyndi Winer deposits three checks for $425.22, $883.99, and $57.05. She
also deposits cash of 45 one-dollar bills, 15 five-dollar bills, and 12 ten-
dollar bills. The change deposited includes 28 quarters, 16 dimes, 19
nickels, and 65 pennies. She would like to receive $60.00 in cash.
18. Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.
His cash consists of 75 one-dollar bills, 78 five-dollar bills, 33 ten-dollar
bills, 80 quarters, 32 dimes, 95 nickels, and 5 pennies. He would like to
receive $40.00 in cash.

Answers

The total cost of Jess Norton is $995.85 and the total cost of Olive Baker is $678 .

What is total cost ?

The total cost formula is used to total up the variable and constant expenses associated with providing commodities. Total cost = (Average Fixed Cost x Average Variable Cost) x Units Produced is the formula.

In economics, total cost is the total of all expenses a company incurs to produce a particular level of output.

The average cost, or the typical sum of money required to create a unit, can be determined using the cost function. The average cost function is A(x)=C(x)x, where x > 0 and C is the constant. Calculating the average cost per unit requires dividing the total cost by the quantity of units produced.

For Jees Norton,                    

 2 one hundred dollar bills = 2 x $100

                                                   = $200                

 Total deposits = 2 one hundred dollar bills + Checks

                                = $200 + $474.85 + $321

                                = $995.85          

                     

For Olive Baker,                    

 Checks amount = $100 x 4

                                   = $400                  

 12 for $7.5

       = 12 x $7.5

       = $90                  

 Six 20-dollar bills = 6 x $20

                                     = $120                  

 Five 10-dollar bills = 5 x $10

                                      = $50                  

 Eighteen 1-dollar bills = 18 x $1

                                            = $18                

 Total deposits = $400 + $90 + $120 + $50 + $18

                                = $678

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Which planets have surface features (e.g., mountains, canyons, volcanoes, etc.)?

Answers

Answer:

The answer is Terrestrial planets

Help quickly this is for a final!

The polygons are similar.

The perimeter of pentagon RSTPQ is ___ units.

Answers

Answer:

unidentified

Step-by-step explanation:

could you please send the other polygon or send an attachment of the whole question because this information is not enough

Other Questions
Hi,please help ! I need help on question b) ( see image) Whats the gcf of 18 and 36 Melissa made pancakes using a circlemold. The circumference of the moldis 8 centimeters. Which measurementis closest to the area of the mold incentimeters?A 50.24 cmB 200.96 cmC 25.12 cmD 100.48 cm 1. The president is given the power to enforce judicialimplementation,which isA.the ability to interpret lawB.the right to approve judicial nomineesC.the authority to decide whether to enforce judicialdecisionsD.the ability to vote on who becomes a Supreme Courtjustice How do you know if its logarithmic or exponential? describe how shakespeare managed to transpire time with his works, and argue how, he might have been the first rapper of our time if your license is suspended it means that A 2.0-kg block of wood is on a level surface where and A 13.7-N force is being applied to the block parallel to the surface. (a) If the block was originally at rest, then (A) it will remain at rest, and the force of friction will be about 15.7 N. (B) it will remain at rest, and the force of friction will be about 13.7 N. (C) it will remain at rest, and the force of friction will be 11.8 N. (D) it will begin to slide with a net force of about 1.9 N acting on the block. What does Mercutio accuse Romeo of doing in Act II, Scene IV of Romeo and Juliet?A. Abandoning them at the feastB. Being too scared to attempt to woo JulietC. Disgracing his family by talking to a CapuletD. Cheating on Rosaline Before you can take a lesson exam, you must:A. Complete all required laboratory exercises.OB. Listen to all of the audio in the lesson.C. Review all materials in the course Library.D. None of these. 6. What does the phrase "Prussia is not a state which possesses an army, but anarmy which possesses a state" mean? What does this say about Prussia's values? help! thanks !!! asap tho- How did Mendel's pea plants help us understand genetics? Using traditional methods it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 21 students and observed that they had a mean of 8.8 hours with a variance of 1.21. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses A balloon originally has 0.100 moles of helium and has a volume of 0.500 L. If 0.670 grams of He are added to the balloon, what will the new volume be, in L (6 10^3) (3 10^2) need helpIn which of these situations would an author most likely use a first person narrator? (5 points)Group of answer choicesA song in which the lyrics speak of long-forgotten friendsA compare and contrast article about the work of two organizationsA story that has the purpose of teaching an important lessonA narrative in which the author describes personal reactions to an event The quality of African Americans lives was affected by the relationship between their labor and the economy of the region in which they lived. Compare and contrast life for African Americans in New England, Middle Colonies, and the Southern Colonies. Is 10 12 15 a right triangle? How many atoms are in 1.4 moles of Cadmium?