ASAP! exponent rules.

ASAP! Exponent Rules.

Answers

Answer 1

The error occurs in Litas work is in step 3 and step 4.

What is Exponential Function?

An exponential function is a mathematical function of the following form:

f ( x ) = aˣ where x is a variable, and a is a constant called the base of the function.

The given expression is

25⁻⁴/(5⁻²)²

The given steps are

Step 1,

25⁻⁴/(5⁻²)²

Step 2,

(5²)⁻⁴/(5⁻²)²

Step 3,

(5²⁻⁴)/(5⁻²⁺²)

The step 3 is wrong because the exponents should be multiplied but not added.

The actual step should be

(5⁻⁸)/(5⁻⁴)

Hence the error occurs in Litas work is in step 3 and step 4.

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Related Questions

emma estimated the
first digit in the quotient of 2,183 ÷ 42 as 4. She adjusted the quotient to 3. What did she do wrong? Explain how Emma can avoid her mistake.

Answers

Quotient is 51.97 by dividing 2,183 by 42. A quotient is the amount that results from dividing two numbers.

How to divide a number ?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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The mistake she done is that the acutal quotient is 51.97.

How to divide a number ?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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A sports ball has a diameter of 10 cm. Find the volume of the ball.
cm.3
Round your answer to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

take the radius which is 5 square it 5^2 and divide by 3 then round hope it helps

Answer: 8,33333333333333333

Step-by-step explanation: 5^2 =25 divided by 3 is 8,33333333333333333

Steven's birthday party will cost $168 if he invites 14 guests. If there are 59 guests, how much will Steven's birthday party cost? Solve using unit rates.

Answers

Calculated using unit rates, Steven's birthday party will cost him $ 708 if he were to invite 59 guests.

If the party will cost him $168 for him to invite 14 guests, then we will need to calculate the cost for each guest using unit rates.

if 14 guests = $168,

1 guest = 168/14 = $12

so it will cost him $12 per guest he invites

Knowing that each guest will cost him $12, then if Steven wants to invite 59 guests to his birthday party, he will be spending:

59 × $12 = $708

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1. A revenue of $2000 is obtained from the sales of item A at $40 each and item B at $35 each. Write an
equation that shows the relationship between the numbers of items sold.
2. A revenue of $3000 is obtained from the sales of item A at $50 each and item B at $80 each. Write an equation that shows the relationship between the numbers of items sold.

Answers

Answer:

Step-by-step explanation:

Hi vengefull,  :0  like that show on Netflix about revenge, huh  :0 anyway, back to math.

the equation 1):

40*A+ 35*B=2000

the equation 2):

50*A + 80*B=3000

Which of the following is true of prime numbers?
A.
A prime number may be an even number or an odd number.
B.
A prime number is always an even number.
C.
A prime number is always an odd number.
D.
A composite number may be an even number or an odd number.

Answers

Answer:

C

Step-by-step explanation:

Prime numbers are only divisible by themselves and 1  ....all even numbers are divisible by '2' ,  so all primes are odd numbers

Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. Which ball rolled at a greater rate of speed?
Question 3 options:



A: white ball



B: green ball



C: The white and green ball rolled at the same rate of speed.



D: red ball

Answers

If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.

How to find the speed?

Using this formula to find the fastest and the slowest speed

Speed for white ball :

Speed for white ball = 143 centimeters /4 seconds

Speed for white ball = 34.75

Speed for green ball:

Speed for green ball = 112 centimeters /3 seconds

Speed for green ball= 37.33

37.33 is greater than 34.75 which means that green ball is the fastest.

Therefore the correct option is B.

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Select the correct answer.
Which graph is the graph of f(x) = x³ - 10x² + 16x?
OA.
B.
-5
4
-3 -2
-3
-2
-3
-4
-5
2
-3
5

Answers

The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below

Graph of Cubic equation

From the question, we are to determine graph of the given cubic equation.

The given cubic function is

f(x) = x³ - 10x² + 16x

To graph the equation, we will determine the value of f(x) for certain values of x

When x = 0

f(x) = x³ - 10x² + 16x

f(x) = (0)³ - 10(0)² + 16(0)

f(x) = 0

When x = 2

f(x) = x³ - 10x² + 16x

f(x) = (2)³ - 10(2)² + 16(2)

f(x) = 0

When x = 5

f(x) = x³ - 10x² + 16x

f(x) = (5)³ - 10(5)² + 16(5)

f(x) = -45

When x = 8

f(x) = x³ - 10x² + 16x

f(x) = (8)³ - 10(8)² + 16(8)

f(x) = 0

When x = 10

f(x) = x³ - 10x² + 16x

f(x) = (10)³ - 10(10)² + 16(10)

f(x) = 160

Using the determined points above, the graph of the cubic equation is shown below

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-4(5x - 3) + 12

equation answer pls

Answers

Answer:

72

Step-by-step explanation:

Answer: -4(5x-6)

If you add the numbers you will get -20x + 24 and then you distribute and get -4(5x-6) as your answer

Reduce 4hours 20minutes by 12%

Answers

Step-by-step explanation:

by 12 % seconds

So turn 4hours and 20 minutes into minutes is (60x4)+20 = 280 minutes
1% of 280 is 2.8
12% of 280 is 33.6
So 280 - 33.6 = 246.4 minutes or 4 hours 10 minutes

Find the ending balance :
Principal: $600
Interest rate :5%
Time : 6 years

Answers

Answer:

3816

Step-by-step explanation:

A line that includes the point (5, –10) has a slope of 0. What is its equation in slope -intercept form?

Answers

Answer:

0

Step-by-step explanation:

Slope = (y-y1)/(x-x1)

0

What is the equation of the line that passes through the point (-1,5) and has a slope of -3

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-1)}) \implies y -5= -3 (x +1) \\\\\\ y-5=-3x-3\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}[/tex]

use your knowledge of angle relationship to solve for X in the diagram below. By your solution by name in the geometric relationship.

Answers

Answer:

Solution

Here ,

5x +7 = 9x-63 (Corresponding angle)

or, 5x-9x =-63-7

or, -4x =-70

or, X=17.5

Hence the value of X is 17.5 degree.

2 ( X + 9 ) - 15 = -3

Answers

Answer:

x = -2

Step-by-step explanation:

2(x + 9) - 15 = -3  Distributive property

2(x) + 2(9) -15 = -3

2x +18 - 15 = -3  Combine like terms

3x + 3 = -3   Subtract 3 from both sides

3x = -6  Divide both sides by 3

x = -2

x=-3
The other person did all the steps correctly, they just accidentally wrote 3x instead of 2x in one of the steps

SOME HELP FAST!! What is the slope of this line?

Answers

Answer:

-2/3

Step-by-step explanation:

Answer = -2/3

Slope of the line = rise/run

The U.S. Bureau of the Census
predicted that the population of
Florida would be about 17.4 million in
2010 and then would increase by
about 0.22 million per year until 2015.
Which of the following linear models
predicts the population, y, of Florida
(in millions) in terms of x, the number
of years since 2010.
A. y = 17.4x + 0.22
B. y = -0.22x + 17.4
C. y = 0.22x + 17.4
D. y = -17.4x + 0.22

Answers

The linear model that predicts the population, y, of Florida (in millions) in terms of x, the number of years since 2010 is y = 17.4+0.22x.

According to the question,

We have the following information:

The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015.

Now, y is the population.

So, we will have the total population in 2010 and 0.22 times the number of years.

So, the expression will be:

y = 17.4+0.22x

Hence, the correct option is C.

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based on the results of the simulation, is there convincing statistical evidence at the significance level of 0.05 that the event of audrey selling at least 7 of the 30 selected tickets is unlikely to have occurred by chance alone? responses yes, because the distribution of the trials in the simulation is skewed to the right. yes, because the distribution of the trials in the simulation is skewed to the right. yes, because the number in the histogram with the greatest frequency is 4, not 7. yes, because the number in the histogram with the greatest frequency is 4, not 7. yes, because 7 appears in the right tail of the distribution, indicating that it is more than 2 standard deviations away from the mean. yes, because 7 appears in the right tail of the distribution, indicating that it is more than 2 standard deviations away from the mean. no, because the simulation suggests that it is likely that audrey could sell anywhere from 0 to 11 of the selected tickets. no, because the simulation suggests that it is likely that audrey could sell anywhere from 0 to 11 of the selected tickets. no, because the simulation suggests that audrey selling at least 7 of 30 selected tickets would occur about 13.8% of the time.

Answers

No, there isn't any statistical proof because, according to the simulation, Audrey would sell at least 7 out of the 30 chosen tickets roughly 13.8% of the time.

What exactly is statistical proof?

A type of explanation known as statistical evidence is one that is based on information that has been gathered and then assessed using a mathematical model.

Based on the information provided, the students created the following simulation:

Choose 88 red chips and the rest 600 blue chips.

30 chips are chosen at random, with no replacements.

When choosing the 30 chips, keep track of and record the amount of red chips.

Therefore, we may say that there is no statistical proof that the occurrence happened by chance alone at = 0.05.

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HELP ASAP PLEASE!!!!

and if you can pls tell the steps on how you get the answer

Answers

The answers on the y side are -1, 4,9,14

7.34 the gpas of all students enrolled at a large university have an approximate normal distribution with a mean of 3.02 and a standard deviation of .29. find the probability that the mean gpa of a random sample of 20 students selected from this university is

Answers

The probability that the mean GPA of a random sample of 20 students selected from this university  is 3.10 or higher is 10.93%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score methods.

We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:

                              Z = X - μ/σ

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem:

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the p- value of Z when X = 3.10. So

By the Central Limit Theorem:

             Z = X - μ / s

       ⇒  Z = 3.1 - 3.02/ 0.0648

       ⇒ Z = 1.23

The Z = 1.23 has a P- value of 0.8907

∴ 1 - 0.8907 = 0.1093

Now, for  getting the percentage,

0.1093 × 100% = 10.93%

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

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Express this equation:

Answers

Answer:

(14x +49)^2

Step-by-step explanation:

PLEASE GIVE BRAINLIEST THANK YOU!!!

Sophie and Addison work at a dry cleaners ironing shirts. Sophie can iron 20 shirts per hour, and Addison can iron 30 shirts per hour. Sophie and Addison worked a combined 11 hours and ironed 260 shirts. Determine the number of hours Sophie worked and the number of hours Addison worked.

Answers

The number of hours Sophie worked and the number of hours Addison worked are 7 and 4 hours respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x and y be the number of hours for Sophie and Addison:

x + y = 11

20x + 30y = 260

After solving the above two linear equations by substitution:

x = 7 hours

y  = 4 hours

Thus, the number of hours Sophie worked and the number of hours Addison worked are 7 and 4 hours respectively.

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What is the rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction? x − y = 0 x − y = 1 x + y = 0 x + y = 1

Answers

The rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction is x + y = 0.

What are polar coordinates?

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

This is about converting polar coordinate to rectangular form.

Relationship between coordinates is:

x = r cosθ

y = r sinθ

then;

y/x = sinθ/cosθ

y/x = tanθ

We have θ = 5π/6, finding the value of tan:

tan 5π/6 = tan (π - π/6)

= - 1/√3

= - √3/3

Now Substitute tan with its value:

y/x = -√3/√3

√3y = -√3x

y + x = 0

x + y = 0

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Answer:

c on edge

Step-by-step explanation:

Here is a scatterplot showing the relationship between the number of turnovers and the number of points scored for players in a recent NBA season. The correlation for these data is r = 0.92.

Interpret the correlation

Answers

Yes.There is a strong , positive association,so an increase in turnovers causes an increase in points for NBA players..

Given that,

This scatterplot illustrates the correlation between a player's turnover rate and their points scored during a recent NBA season. 3000 2500 2000 Points 1500 and  r= 0.92

r = 0.92 A strong positive (upward sloping) linear relationship

While a correlation of 0.10 would be a modest positive correlation, a correlation of 0.97 is a significant negative correlation.

Hence, Yes. Because there is a significant positive correlation, more turnovers result in more points for NBA players.

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a machine makes 36 trophies every hour. The machine makes trophies for 8 and a half hours each day, on 5 days of the week. The trophies are pack into boxes. Each box holds 8 trophies.
How many boxes are needed for all the trophies made each week?

Answers

Answer: 1530

Step-by-step explanation: First, you would want to calculate how many are made in one day. 36 trophies are made per hour, for 8 1/2 hours. 36 x 8.5(8 and a half) is 306, so in one day, 306 are made. Then, all you have left is to multiply it by 5, for five days, and that would be 1530. Hope This Helps.

On a map with a scale 1: 100,000, the distance between two cities is 12 cm. What would be the distance between these two cities on a different map with a scale 1:300,000?

Answers

The distance between these two cities on a different map with a scale 1:300,000 is 4vm

How to calculate the distance?

From the information, on the map with a scale 1: 100,000, the distance between two cities is 12 cm.

In this case, the distance between these two cities on a different map with a scale 1:300,000 will be:

= (100000 / 300000) × 12

= 1/3 × 12

= 4cm

The distance is 4cm.

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If an additional worker can produce an additional 20 units of output which can be sold for $4 per unit, what is the maximum wage that this perfectly competitive firm should pay to hire this worker?.

Answers

The maximum wage that this perfectly competitive firm should pay to hire this worker = $80

The options for this question

A) $80 minus the firm's profit markup

B) It depends on what the going wage rate is in the labor market.

C) $80

D) There is insufficient information to answer the question.

now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker

given that

the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit

maximum wage = additional units × sold per unit

                          = 20 × 4 = 80

the maximum wage = $80

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HELP ME PLS!!!!!!!!!

Answers

Answer:

It's a positive correlation.

Step-by-step explanation:

It's gradually going up, even if there's a few points that are a bit uncorrelated.

100 Points Please help ASAP

Question 1(Multiple Choice Worth 1 points)
(04.07 LC)

Data were collected and showed an increase in ice cream sales as the weather gets warmer.

Which of the following best describes this situation?

Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.

Question 2(Multiple Choice Worth 1 points)
(04.07 MC)

Trey believes there is a correlation between the number of texts sent in class and GPA. He collected data and found that the line of best fit for the data can be modeled by the equation y = 3.9 − 0.3x.

Identify the slope and the type of association.

The slope is −3.9, which indicates a negative correlation.
The slope is 3.9, which indicates a positive correlation.
The slope is 0.3, which indicates a positive correlation.
The slope is −0.3, which indicates a negative correlation.

Question 3(Multiple Choice Worth 1 points)
(04.07 MC)

The average daily profit of an electronics store is $31,435. The company estimates that 15% is lost each day to returns, with a margin of error of ±4%. What is the maximum the company can expect for returned items?

$3457.85
$4621.13
$5972.65
$6638.22

Question 4(Multiple Choice Worth 1 points)
(04.07 MC)

Based on the time recorded for 700 attendees at an amusement park, the average amount of time spent at the park was 7.25 hours with a margin of error of ±1.65 hours. If 3,000 people attended the park on a given day, what is the estimated range of total hours the attendees spent in the park?

8,375 to 16,800 total hours spent in the park
16,800 to 21,785 total hours spent in the park
16,800 to 26,700 total hours spent in the park
16,800 to 35,885 total hours spent in the park

Question 5(Multiple Choice Worth 1 points)
(04.07 MC)

Data regarding fuel efficiency of an airliner were collected. The graph shows the correlation between the distance traveled (in thousands of miles) and the altitude (in thousands of feet):

image of a scatter plot with Distance Traveled on the x axis and Altitude on the y axis with 2 comma 2, 3 comma 10, 5 comma 15, 10 comma 20, 15 comma 15, 18 comma 10, and 19 comma 2

Estimate the average rate of change from x = 15 to x = 19.

−3.25
4
−4
−0.31

Question 6(Multiple Choice Worth 1 points)
(04.07 MC)

An observational study determined that there is a strong correlation between sitting close to the television and poor eyesight. Can it be determined that sitting too close to the television causes poor eyesight? Explain.

Causation cannot be proven because everyone watches television.
Causation can be proven because it is well known that sitting close to the television causes poor eyesight.
Causation can be proven because an experiment was used to prove this hypothesis.
Causation cannot be proven because poor eyesight can occur for other reasons, such as genetics.

Question 7(Multiple Choice Worth 1 points)
(04.07 LC)

Aretha wanted to gather data about the cost of local bowling leagues in her area. She plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20.

Identify and interpret the y-intercept in this model.

The y-intercept is 20. This is the cost per month.
The y-intercept is 20. This is the cost of registration.
The y-intercept is 15. This is the cost of registration.
The y-intercept is 15. This is the cost per month.
Question 8(Multiple Choice Worth 1 points)
(04.07 MC)

Analyze the following statement:

Marcus notices that he runs faster in the mornings rather than the evenings.

Is the statement an example of correlation or causation?

Correlation, because time of day doesn't cause a person to run faster or slower
Causation, because Marcus has noticed this over several trials
No relationship, because time of day has nothing to do with how fast a person runs
There is not enough information to make a conclusion

Question 9(Multiple Choice Worth 1 points)
(04.07 MC)

A new streaming service sent out a survey to 350 households to see who would be interested in its service. The company found that it could charge $55 per month, with a margin of error of ±1.3. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?

$52,815
$53,700
$54,915
$56,300

Question 10(Multiple Choice Worth 1 points)
(04.07 MC)

The price of milk has been increasing over the last month. Audrey believes there is a positive correlation between the number of predicted storms and the price of milk.


Number of Storms Predicted Milk Price
1 $2.70
3 $2.89
4 $3.50
6 $3.88
7 $3.91


Use the table to determine the average rate of change from 3 to 6 storms.
3
0.98
1.21
0.33

Answers

Answer:

1.Based on the data, this is an example of correlation and causation.

2.The slope is −0.3, which indicates a negative correlation.

3.$5972.65

4.16,800 to 26,700 total hours spent in the park.

5. -3.25

6.Causation cannot be proven because poor eyesight can occur for other reasons, such as genetics.

7.The y-intercept is 20. This is the cost of registration.

8.Correlation, because time of day doesn't cause a person to run faster or slower

9.$53,700

10.0.33

Please mark as brainliest :)))

Comment if u need explanation of any answer

compare adding and subtracting to multiplying and dividing bases with different exponents.​

Answers

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

Define exponents.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.

Given,

Adding and subtracting to multiplying and dividing bases with different exponents.​

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

The exponents and variables must match in order to add exponents. The exponents are left constant while the variable coefficients are added. The addition only includes terms with the same variables and powers. Exponents can be multiplied and divided according to this rule.

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Can you help me, please?

Answers

Answer: 19

Step-by-step explanation:

(3x-5)+2x=90
X=31
Add back the 31 in place of the x and u get 90
Other Questions
PLEASE HELP ASAP! 2 QUESTIONSThe average high temperatures in degrees for a city are listed.58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57If a value of 80.4 is added to the data, how does the range change?The average high temperatures in degrees for a city are listed.58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57If a value of 60 is added to the data, how does the median change? Which of the following is NOT included in finance charges?A: Change of address feesB: Overdraft feesC: Annual feesD: Late fee charges Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with 3/4 yard of fabric. The fabric costs $8 per yard.You'll apply properties of multiplication in the following steps to find the total cost of the fabric.1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings.2. Multiply the amount of fabric by the price per yard to find an expression for the total cost.3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with.4. Simplify your expression to find the total cost. Show your work. What is the most likely reason Wangari Muta Maatthai encouraged East African women to plant 20 million trees? 1. Nationalist groups in the Balkans in the late 1800s believed they had the right to___________or the ability to choose their own government. The Missing PatentWilbur and Orville Wright's official patent for their "flying machine," submitted in 1903, is an important slice of American history. The patent was supposed to be stored in the National Archives, where historical treasures are housed. However, in 2000, officials discovered that it seemed to have vanished. Researchers looked through storage vaults, filing cabinets, and archives around the country, to no avail. Some wondered whether the document had been stolen. Finally, Chris Abraham, newly assigned to the National Archives' document recovery program, volunteered to solve the puzzle. Abraham suspected that the patent might have been mistakenly sent to a huge storage facility in Kansas where other, less important patent documents were kept. Abraham was right: after searching through boxes and boxes of documents, he found the patent on March 22, 2016.What is the main idea of the passage? The wholesale price for a pair of shoes is $4.50. A certain department store marks up the wholesale price by 50%. Find the price of the pair of shoes in thedepartment store.Round your answer to the nearest cent, as necessary. Why can you not selectively epoxidize an alkene with mcpba in the presence of a ketone?. Find the y-intercept of the line. If needed use "/" for a fraction. b= y=10+4x .. If the president, vice president, and leaders of congress were all unable to hold office, who would assume the office of president?. 1.5 devided by 2.5 rounded to the nearest tenth Sanjay's class was studying the water cycle. Their teacher asked them: "Where in the room will the most evaporation take place?" In small groups the children collected the following materials: ~zip lock bag ~soil ~water in a spray bottle ~tape Each group added soil to fill the bottom 1/4 of the bag. Next they sprayed the soil with water. They sealed the bags and taped them in a sunny window. The next day, at 11:00 am, the students checked their bags. Here is a photograph of one of the bags; the student models all looked similar. Is this a fair test? Explain. A) No. The students did know if any evaporation took place. B) Yes. All of the students followed the same steps when setting up their model. C) No. The students should tape bags in different places to get different temperatures. D) Yes. The students could see that the water in the soil evaporated and then condensed on the bag. which selection best explains how hitler was able to take over the western europe ? Judy has been suffering from depression for several years. Medication worked at first, but it has not been effective for the last two years, even though judy has tried several different drugs. Judy is willing to try a different type of biological treatment, but she does not want any part of her brain physically altered. What treatment might her psychiatrist recommend?. A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 1700 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week? Christine knits 22 centimeters of scarf each night. Write an equation that shows the relationship between the nights xx and the length knitted y. What is the name given to the process by which a parent cell becomes two identical daughter cells?. Why were the Caribbean islands not as united as the mainland colonies you are purchasing a used car and will make 5 annual payments of $3,500 starting one year from today. if your funds could be invested at 9%, what is the present value of the care? (round answer to nearest dollar) $20,946 $13,614 $14,839 $17,500