Simplify (h³)^7
Please

Answers

Answer 1

Answer:

[tex]\sf \bf h^{21}[/tex]

Step-by-step explanation:

Exponent law:

  We have to multiply the powers.

[tex]\sf \boxed{\bf (a^m)^n=a^{m*n}}[/tex]

       [tex]\sf (h^3)^7=h^{3*7}[/tex]

                [tex]\sf = h^{21}[/tex]


Related Questions

Please hekp! the value of FG the drawing is not a scale.

EF equals 11 and EFequals 21 what is FG?

Answers

Answer:

yo cant help u good do

Which of the following tables shows a rate greater than 1 kilometer per hour? A Kilometers 1··51··41··31··2Hours7··57··47··37··2B Kilometers 3··46··49··412··4Hours3··86··89··812··8C Kilometers 2··34··36··38··3Hours4··38··312··316··3D Kilometers 1··41··23··43··2Hours3··43··29··49··

Answers

Based on the calculations, table B shows a rate that is greater than 1 kilometer per hour.

What is the average rate of change?

The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the average rate of change can be calculated by using this formula;

Average rate of change = Δy/Δx = Change in kilometer/Change in hour

For table A, we have:

Rate = kilometer/hour

Rate = (1/5)/(7/5)

Rate = 1/5 × 5/7

Rate = 1/7 kilometer per hour.

For table B, we have:

Rate = (3/4)/(3/8)

Rate = 3/4 × 8/3

Rate = 2 kilometer per hour.

For table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometer per hour.

For table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometer per hour.

For table D, we have:

Rate = (1/4)/(3/4)

Rate = 1/4 × 4/3

Rate = 1/3 kilometer per hour.

Therefore, table B shows a rate greater than 1 kilometer per hour.

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Which statements are true about the function represented by the graph? select all that apply.
a) The function is negative over the interval (-♾️, -5).
b) The function has zeros at -5,3.
c) The function is negative over the interval (-16,0).
d) The function is positive over the interval (-♾️, -5).
e) The function has zeros at -3,5.
f) The function is positive over the interval (-5,3)
g) The function is positive over the interval (3,♾️)
h) The function is negative over the interval (-5,3)

Answers

Choice B) The function is negative over the interval (−5,3).

Choice C) The function is positive over the interval (3,∞).

Choice D) The function is positive over the interval (−∞,−5).

====================================================

Explanation:

The portion below the x axis is when f(x) is negative. This happens on the interval -5 < x < 3−5<x<3 . Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when -5 < x < 3−5<x<3 we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.

----------

The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.

The x < -5 portion converts to the interval notation (−∞,−5)

The x > 3 portion converts to the interval notation (3,∞)

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What is the x -intercept of f(x)=x³-x²+1 ? Round the answer to the nearest hundredth.

Answers

The x -intercept of f(x)=x³-x²-1 is x=1.46557.

What are Cubic polynomials?Cubic polynomials are polynomials with the highest degree of three. A cubic polynomial can only have three roots or solutions. We must find the X intercept for the given cubic polynomial in the given example.

So, to find the x-intercept of f(x)=x³-x²-1:
To find the x-intercept, substitute y = 0.

y = f(x)x³-x²-1 = 0

Using the long division method, we obtain:

x³-x²-1/x-1.46557 = x²+0.46557x+0.68232x = 1.46577 and  x²+0.46557x+0.68232 = 0x = -0.2328 ± 0.7925i ∉ R

Therefore, the x -intercept of f(x)=x³-x²-1 is x=1.46557.

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The correct question is given below:
What is the x-intercept of f(x)=x³-x²-1? Round the answer to the nearest hundredth.

During breakfast, the school cafeteria sells half of the milk they have. they sell twice as much milk as orange juice. by the end of breakfast, they have sold 3 gallons of orange juice. write and explain how to find how much milk the cafeteria had at the beginning was f the day.

Answers

Solving The problem with the help of a linear equation, we can say that the cafeteria had 1.5 gallon of milk at the beginning of the day.

A linear equation refers to an algebraic equation where when the graph plotted with an equation gives a straight line.

First of all we have to assume the amount of the milk is x gallon .

As per the question the amount of sold orange juice is twice as much milk as . So the orange juice was 2x gallon .

They sold 3 gallon of orange juice .

∵ we can generate an equation,

2x = 3

or, x = 3/2

or, x = 1.5

Now we can conclude , the amount of the sold milk is 1.5 gallons.

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solve each equation,with work shown
-6 = a/13
m/11 =19
p -1 = -17
3= 3/5n
31/10= r+ 2⅗
-6/5 =⅘k
-12/5 = 1+a
p+ ½ = 5/2​

Answers

The values of the variables in the equation will be:

1. a = -78

2. m = 209

3. p = -16

4. n = 1/5

5. r = 1/2

6. k = = -3/2

7. a = -13.5

8. p = 2

How to illustrate the information?

-6 = a/13

Cross multiply

a = 13 × -6

a = -78

m/11 =19

Cross multiply

m = 19 × 11

m = 209

p -1 = -17

p = -17 + 1

p = -16

3= 3/5n

5n = 3/3

5n = 1

Divide

n = 1/5

31/10= r+ 2⅗

r = 31/10 - 2 3/5

r = 31/10 - 13/5

r = 5/10

r = 1/2

-6/5 =⅘k

Divide

k = -6/5 × 5/4

k = -3/2

-12/5 = 1+a

a = -12.5 - 1

a = -13.5

p+ ½ = 5/2

p = 5/2 - 1/2

p = 2

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George’ family is preparing backpacks filled with school supplies to donate to children in

need. They have 60 pencils and 80 notebooks. If they want to make all backpacks the same,

with no school supplies left over, what is the greatest number of backpacks they can fill?

A. 480 B. 240 C. 20 D. 40

Answers

The greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20

What is the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over?

The given parameters are

Pencils = 60

Notebooks = 80

Express 60 and 80 as the products of their factors

So, we have

Pencils = 2 * 2 * 3 * 5

Notebooks = 2 * 2 * 2 * 2 * 5

Multiply the common factors

Common factor = 2 * 2 * 5

Evaluate the product

Common factors = 20

Hence, the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20

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A toy helicopter flies forward with a force of 15 N into an oncoming wind of 10 N. The force of gravity pulls the helicopter down
with a force of 5 N, but the propeller is providing an upward force of 10 N.
Which of the following accurately describes the helicopter's force?
(1 point)
O The toy helicopter is flying forward with a force of 15 N.
O The toy helicopter is flying forward with a force of 10 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 15 N and upward with a force of 10 N.

Answers

The statement which accurately describes the helicopter's force is: C. the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

What is Newton's Third Law of Motion?

Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces acting on the two interacting objects.

Next, we would determine the resultant forces in the two scenarios as follows:

Resultant force A = Forward force - Wind force

Resultant force A = 15 N - 10 N

Resultant force A = 5 Newton.

Resultant force B = Upward force - Force of gravity

Resultant force B = 10 N - 5 N

Resultant force B = 5 Newton.

In this context, we can reasonably infer and logically deduce that the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

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What is the quotient of negative 192 over negative 16?

Answers

Answer:

12

Step-by-step explanation:

[tex]Borrow\:2\:from\:"-192"\\|16| \times 1 = 16\\= 16 - 19\rightarrow Remember\:we\:borrowed\:2\\= 3\\Drop\:the\:borrowed\:2\\= 32\\|16| \times 2 = 32\\= 32 - 32\\= 0\\\\= 12\:\sf R0[/tex]

Answer:

12 (please use a calculator next time)

Step-by-step explanation:

When I have to simplify a tough fraction, I like to constantly divide both the numerator and the denominator by 2 until I can no longer do so, as it's a lot easier to divide most numbers by 2.

[tex]\frac{-192}{-16}\\ \\\to \frac{96}{8} \\ \\\to \frac{48}4 \\ \\\to \frac{24}2 \to 12[/tex]

How to simplify it as a fraction?

Answers

0.7 bar can be expressed as 7/9 in fraction.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Part of a whole number and a means of dividing a number into equal parts are represented by fractions. The numerator, also known as the number of equally divided parts, is how it is written.

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URGENT! homework due tmrw!!

Answers

Answer: donut no

Step-by-step explanation:

12345

I need assistance; on question #1

Answers

Answer:150 minutes

Step-by-step explanation: divide 30 x 5 = 6 and multiply 6 x 25 = 105 minutes

PLEASE HELP! NEED THIS ASAP! HELP PLSS!!!!!
Kevin has a pitcher that holds 2.75 quarts of juice. How many 1.4 quart cups can he fill up with one pitcher of juice?

Answers

Based on the quarts of juice that are in the pitcher that Kevin has, the number of 1.4 quart cups that can be filled up by one pitcher of juice is 1.96 cups.

How to find the number of cups?

In order to find the number of 1.4 quart cups that Kevin would be able to fill up with the pitcher, you should divide the number of quarts that the pitcher can hold, by the number of quarts that each cup can hold.

The number of 1.4 quart cups that can be filled with one pitcher of juice is therefore:

= Number of quarts in pitcher / Number of quarts per cup

= 2.75 / 1.4

= 1.96 cups

In conclusion, the pitcher that Kevin has can fill up 1.96 cups.

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on Arya birthday about 20 chocolate Her friends finished 7/10 chocolates How many chocolates were left​

Answers

Answer:

6

Step-by-step explanation:

She had 20 chocolate pieces and her friends ate 7/10 of them.

20 x 0.7 = 14

20 - 14 = 6 pieces left over

Hope this helps <3

Evaluate 3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power. 1 3.5 7 12.25

Answers

The value of given expression is 12.25.

From the given statement, the required expression is = ((3.5)⁷/(3.5)⁶)²

Since, the numerator and denominator of the expression are same.

Hence, their power will get subtracted

[tex] {({3.5}^{7 - 6} )}^{2} [/tex]

= 3.5²

= 12.25

∴ The value of the expression ((3.5)⁷/(3.5)⁶)² is equal to 12.25

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Stefan and Kendrick both walk to work each day. It takes them the same amount of time, even though Stefan lives farther away. One morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. Who will likely get to the coffee shop in less time?

Answers

If one morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. The person that will likely get to the coffee shop in less time is: Stefan.

Speed

If it takes both of them the same amount of time to walk to work per day. The person  that will likely get to the coffee shop in less time is Stefan based on the fact that despite Stefan live a great distance away he still get to work at the same as Kendrick.

Since the coffee shop is the same distance from both of their apartments there is likelihood or tendency that Stefan get to the coffee shop in less time.

Therefore the person that will likely get to the coffee shop in less time is: Stefan.

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Factor ab + bc + b 2 + ac.

Answers

The factor of the terms ab + bc + b² + ac is ( a + b ) ( b + c ).

Given ab + bc + b² + ac

A factorization is a mathematical object of multiplying several factors usually smaller or simpler objects of the same kind.

To factor the terms we need to write like terms on one side as below

= ab + ac + bc + b²

Separating the common terms as

= a ( b + c ) + b (c + b )

= a ( b + c ) + b ( b + c )

= ( a + b ) ( b + c )

Therefore, the factor of the given terms ab + bc + b² + ac is ( a + b ) ( b + c ).

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Makayla is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday and flips a coin?

Answers

The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-

So, there are are total 10 outcomes of  flipping a coin

A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.

There is  a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.

On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.

So there are two events flipping a coin and spinning a spinner.

possible outcomes are

(Head, Monday)   (Tail , Monday)     (Head, Tuesday)  (Tail, Tuesday)

(Head, Wednesday)    (Tail , Wednesday)  (Head, Thursday)  (Tail, Thursday)

(Head, Friday)  (Tail, Friday)

So, there are are total 10 outcomes.

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what is a word phrase i could use for this algebraic expression 7x-2?

Answers

A word phrase that can be used for 7x - 2 would be as follows:

“Two less than the product of seven and a number”

The keyword “two less” means to subtract 2 from a number.

The keyword “product” means to multiply. When there is a coefficient represented by a number alongside a variable, they are multiplied.

The word phrase that is useable for the algebraic expression could be “two less than the product of seven and a number.”

0.96 x 0.12 what is it but step by step

Answers

You normally multiply 96 and 12 without the decimal point which makes 1152, and then you have 2 places after the decimal point in each number so you add the 2 of the decimal places and that makes 4. Finally, you move the decimal point to the left 4 times, which makes 0.1152.

Answer: 0.1152

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?.

Answers

Probability of having at least one boy and at least one girl is 0.75

There are two possibilities of a child, it could be a girl or a boy.

Since, the family plans to have 3 children.

∴ Total outcomes are = 2³

Total outcomes are = 8 outcomes

The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG

So, there are 8 possible outcomes.

Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)

Probability of having all girls i.e., GGG = 1/8

Probability of having all boys i.e., BBB = 1/8

P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)

= 1 - (2/8)

= 6/8

= 0.75

∴ P(at least one boy and at least one girl) = 0.75

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PLUMBING Raven is deciding between two plumbing services. Service Provider A multiplies the average number of hours spent at a residence by $50, where the average number of hours spent at a residence is 1.5 hours for a new house and 3.75 hours for an old house. Service Provider B multiplies the exact number of hours spent at a residence by $60. Suppose Raven has a new house and needs a plumber for 1.75 hours. Find the cost of service charge using both methods.

Answers

The cost of service charge using service provider A and service provider B is $58.33 and $105 respectively.

The cost of service of each service provider

Service provider A:

Cost of plumbing service = $50

Average number of hours spent at a residence for a new house = 1.5 hours

Average number of hours spent at a residence for a old house = 3.75 hours

Service provider B:

Cost of plumbing service = $60

Since Raven has a new house

Cost of service charge using service A:

Cost of plumbing : average hours spent

50 : 1.5 = x : 1.75

50/1.5 = x/1.75

cross product

50 × 1.75 = 1.5 × x

87.5 = 1.5x

x = 87.5 / 1.5

x = $58.33

Cost of service charge using service B:

multiplies the exact number of hours spent at a residence by $60.

= 1.75 × 60

= $105

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O
An escalator runs from the first floor of a shopping mall to

Answers

Answer: D.) the hypotenuse

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Question:

What is the longest side of a right triangle?

Answer:

The answer would be D. hypotenuse

Step-by-step explanation:

Leg A and B would be the legs remember pythagorean theorem. Pythagorean theorem would be a2 + b2 = c2, a is a side of right triangle b is also a side of right triangle and c is the hypotenuse.

I hope it helps you!

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Answers

The equation is y = 2x.

Reason is because when I saw the number 4 on the x-axis, I saw that it was multiplied by 2 to make 8. It also works with the other numbers.

Answer:

y=2x

Step-by-step explanation:

The gradient is 2 which gives the 2x

The lines crosses the y-axis at 0

Hope this helps! Have a great day!

ps. i answered the previous question

a) The ratio 20 minutes to 1 hour can be written in the form 1: n.
Find the value of n.
n =
b) The scale on a map is 1 : 25 000
How many kilometres on the ground is represented by 9 cm on the map?

Answers

The result for the given ratio are-

Part a: The value of n = 3.

Part b: For 9 cm on map there are 225,000 km on ground.

What is defined as the ratio?A ratio in mathematics is a comparable of two or more numbers that shows their sizes in regards to each other. A ratio compares two quantities by dividing them, with the dividend or number divided referred to as the antecedent as well as the divisor or number divided referred to as the consequent.A ratio can be expressed as a part-to-part or part-to-whole comparison.

Now, as per the given question;

Part a: The value of 'n'.

The ratio 20 minutes to 1 hour can be written in the form 1: n.

20 minutes/1 hour = 1/n

We know that; 1 hour = 60 minutes.

20 minutes/60 minutes = 1/n

Cross multiplying;

20n = 60

n = 60/20

n = 3

The value of n is found to be 3.

Part b: kilometres on the ground.

The scale on a map is 1 : 25 000

It means;

1 cm on map = 25,000 km on grounds.

Thus, for 9 cm om map.

Multiplying both side of ratio with 9.

9 : 9 × 25 000

9 : 225,000

Thus, 9 cm on map there are 225,000 km on ground.

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Which answer choice below is not a correct way to show the answer to a division problem?

A) 913 ÷ 29 = 31 r 14
B) 913 ÷ 29 = 31 14/29
C) 913 ÷ 29 = 31.14
D) 913 ÷ 29 = 31

Answers

Answer:

option D

Step-by-step explanation:

it is the incomplete answer

HELP ME PLS
Use f(x) = |x|
f(x) is shifted left 5 and shifted up 2 to create
te g(x). Write the equation g(x)

Answers

Answer:

g(x) = | x + 5 | + 2

Step-by-step explanation:

given f(x) then f(x ± h ) represents a horizontal translation of f(x)

• if x > 0 then a shift to the left of h units

• if x < 0 then a shift to the right of h units

here f(x) is shifted left by 5 units , then

g(x) = | x + 5 |

given f(x) then f(x) + k represents a vertical translation of f(x)

• if k > 0 then a shift up of k units

• if k < 0 then a shift down of k units

here f(x) is shifted up 2 units , then

g(x) = | x + 5 | + 2

5. If the cost of two tires is $130,56, how much will it cost

Answers

Answer:6528

Since there are 2 tires, both of which are $130,056 you would need to divide by 2 to get the price of the tires separately.

Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3.Calculate the value of k​

Answers

In the area of the rectangle the value of the k is 6.

According to the statement

We have to find that the value of the k in the area of rectangle.

So, For this purpose, we know that the

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

From the given information:

Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3 and the measurements of the second rectangle is k+3 by 6.

Then

The area of the first rectangle = 3k*3

The area of the first rectangle = 9k

And

The area of the second rectangle = 6(k+3)

The area of the second rectangle = 6k+18

Then

Compare the both values of the area

6k+18 = 9k

9k - 6k = 18

3k = 18

k = 18/3

k = 6.

So, In the area of the rectangle the value of the k is 6.

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San diego San Diego California is about 2,683,824 feel away from san francisco.los Los angeles is about 700000 feet closer to san francisco then san diego is. Which of the following cold be the actual distance between los angeles and san francisco

Answers

The actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

Given that,

The distance between San Diego and San Francisco = 2,683,824 feet,

And,

Los Angeles is about 7,00,000 feet closer to San Francisco than San Diego,

Now,

Distance is the total movement of an object without any regard for direction i.e. the distance covered by the object.

So,

Now,

According to the question,

To find the actual distance,

The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco) - (The difference in the distance)

i.e.

The actual distance between Los Angeles and San Francisco = 2,683,824-700,000

On solving we get,

The actual distance between Los Angeles and San Francisco = 19,83,824

Hence we can say that the actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

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Suppose naoh standardization of khp determined that a volume of 25. 00 ml naoh has a concentration of 0. 049 m. Suppose 22. 20 ml of khp was used to get to the endpoint in this standardization. What is the mass of khp dissolved in 50. 00 ml of the standardization khp titrant?. steve drafts several typical business messages that follow the direct strategy. which of these is an advantage of this style of writing? it breaks the components into subpoints. it gets to the main point quickly. it minimizes the effects of frontloading. it addresses sensitive subject that will upset the reader. Why did the Roman people demand a new legal code?(1 point)O They were concerned that Roman Law did not extend to technological issues.O They wanted to become a republic and needed new laws in place to do so.O They were worried that older Roman Law hadn't yet been translated into Latin.O They felt that their interests were secondary to those of priests and patricians. may anyone help me with these About how much farther did she bike on Wednesday than Thursday? Find the inverse of each function. Is the inverse a function? f(x)=2x /5 +1 Identifying one's competencies, customers, and competitors helps an organization answer what important question in setting a strategic direction? Consider the reaction, 2 C3H8O(g) + 9 O2(g) 6 CO2(g) + 8 H2O(g).a. When 12 mol O2(g) react, how many moles of CO2(g) form? How do both of these works represent the culture they were created in? be sure to address how the subject matter and stylistic elements connect them to their culture. What would happen to a monthly payment if the interest rate increased?OA. The payment would go up.B. The payment would go down.OC. The payment would remain the same.OD. None of the above Selection of assessment tools is largely determined by the patients symptoms, age, and medical status. One other factor may be the. if the quantity demanded of a good is greater than the quantity supplied of that good, then the price of the good the equilibrium price. a. is greater than b. is less than c. is equal to d. could be either greater than or less than i need all 3 im confused on them x/a=y/b solve for x please help my homework is due today ashley drove 605 miles in 11 hours at the same rate how long would it take her to drive 495 miles 1. Based on Ponyboy's description, what can the reader infer about the Socs thatappeared at the park the night Pony and Johnny decided to run away? Ultraviolet radiation and radiation of shorter wavelengths can damage biological molecules because they carry enough energy to break bonds within the molecules. A carbon-nitrogen bond requires 305 kj/mol to break. What is the longest wavelength of radiation with enough energy to break carbon-nitrogen bonds?. At the local movie theatre, there are 115 boys, 92 girls, and 28 adults.a. Write the ratio of the number of boys to the number of girls.115:92b. Write the same ratio using another form (: vs. to ).115 to 92c. Write the ratio of the number of boys to the number of adults.115:28d. Write the same ratio using another form.115 to 28 PLS HELP ME I REALLY NEED THIS DONE QUICK PLS HELPDuring the week, September 6 - 9, we will be applying what we have learned so far. Here's your work for the week:1. Read the short story, "My Favorite Chaperone" by Jean Davies Okimoto.2. As you read, take notes on the stages of plot and identify a theme.3. TYPE a two paragraph reading response on this story.a. The first paragraph is a retell that summarizes the stages of plot.b. The second paragraph identifies and explains a theme from the short story.c. Don't forget to use transitions in your writing and have someone check your spelling, punctuation and grammar. a student uses a flash drive to store assignments/homework. the student plugs in the flash drive, reboots the computer, and it displays a message indicating the operating system is not found. what are two possible ways of fixing the problem relatively quickly?