An airline company does not charge an extra fee if the weight of a passenger's luggage is less than 55 pounds.

Part A
On the number line, represent the values when the airline company does not charge an extra fee.

Part B
Create an inequality that represents this situation. Let p represent the weight of a passenger's luggage

Answer:

{-5,-2,0,2,5,-1,1,8}

Step-by-step explanation:

The union of two sets contains all elements that are in set A or in set B (possibly both).

{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}

Answer:

Angle = 59.03 degrees

Length = 58.3 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of servings Stephen can achieve with 1/10 kilograms of tofu at 2/25 kilograms per serving is 5/4 servings

Number of servings = Total tofu Stephen has ÷ Tofu per serving

= 1/10 ÷ 2/25

= 1/10 × 25/2

= (1×25) / (10 × 2)

= 25/20

= 5/4 servings

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Answer:

slope is -1

Step-by-step explanation:

Slope of the line is changes in y over changes in x. It can also be referred as rise over run.

We can express mathematically as:

[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where m is slope.

Let (-2,5) be [tex]\displaystyle{(x_2,y_2)}[/tex] and (6,-3) be [tex]\displaystyle{(x_1,y_1)}[/tex]. Hence, apply the slope formula:

[tex]\displaystyle{m=\dfrac{5-(-3)}{-2-6}}\\\\\displaystyle{m=\dfrac{5+3}{-8}}\\\\\displaystyle{m=\dfrac{8}{-8}}\\\\\displaystyle{m=-1}[/tex]

Therefore, the slope is -1

Using proportions, it is found that a force of 22 lb stretches the spring 18 inches.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The measures are direct proportional, hence the rule of three is:

11 lb - 9 inches

22 lb - n inches

Applying cross multiplication:

11n = 9 x 22

n = 9 x 2

n = 18 inches.

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The  difference in total loan repayments between the two mortgage payment option is 771.12

The requirement here is to determine the difference between total loan repayments when the period of loan is 36 months and the total repayments when the period of loan is 24 months instead.

Note the loan amount is the excess of  purchase price over the down payment required.

loan amount=12,500-3,000

loan amount=9,500

The monthly payment in each case can be determined using the present value formula of an ordinary annuity.

PV=monthly payment*(1-(1+r)^-N/r

36-month loan month payment

PV=loan amount=9,500

monthly payment=X

r=monthly interest rate=14.5%/12=0.0120833333333333

N=number of monthly payments=36

9,500=X*(1-(1+0.0120833333333333)^-36/0.0120833333333333

9,500=X*(1-(1.0120833333333333)^-36/0.0120833333333333

9,500=X*(1-0.6489543809903260)/0.0120833333333333

9,500=X*0.3510456190096740/0.0120833333333333

9,500=X*29.0520512283869000

X=9,500/29.0520512283869000

X=327.00

Total month repayments=327.00*36

Total month repayments=11,772.00

24-month loan month payment

PV=loan amount=9,500

monthly payment=X

r=monthly interest rate=14.5%/12=0.0120833333333333

N=number of monthly payments=24

9,500=X*(1-(1+0.0120833333333333)^-24/0.0120833333333333

9,500=X*(1-(1.0120833333333333)^-24/0.0120833333333333

9,500=X*(1-0.7495652524008220/0.0120833333333333

9,500=X*0.2504347475991780/0.0120833333333333

9,500=X*20.7256342840700000

X=9,500/20.7256342840700000

X=458.37

Total month repayments=458.37*24

Total month repayments=11,000.88

Difference in total payments=11,772.00-11,000.88

Difference in total payments=771.12

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Answer:

just 771.21

Step-by-step explanation:

to make it shorter credits to the og person who said the awnser 771.21

Answer:

8 2/5

Step-by-step explanation:

42/5

to find the improper fraction, divide the numerator by the denominator

and then find the remainder

42 / 5 = 8  ( 5*8)  the remainder is 42-40 = 2

Put the remainder over the denominator

8 2/5

Hey there!

Question reads….

Which mixed number is equivalent to the improper fraction 42/5?

EQUATION:

42/5

The one that is equivalent to the fraction is:
8 2/5

Reason:

8 2/5

= 8 * 5 + 2 / 5

= 40 + 2 / 5

= 42 / 5

Therefore, your answer should be:

Option C. 8 2/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The given expression is undefined when x = 5 OR x = -5

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x²  = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

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The second term of sequence is 200

Geometric sequence are sequence that differs in their term by a common ratio. The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

where

a is the first term

n is the number of term

If 1st and 4th term of G.P is 500 and 32 respectively, hence;

T1 = ar^0 = 500

T3 = ar^3 = 32

From both expressions, the first term a = 500

Substitute into equation 2

ar^3 = 32

500r^3 = 32

r^3 = 32/500

r = ∛32/500
r = 0.4

Determine the second term

T2 = 500(0.4)

T2 = 200

Hence the second term of sequence is 200

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Answer:

it's answer came 20000o

Using the normal distribution, the probability that x is of at most 40, represented by option B, is given as follows:

[tex]P(X \leq 40) = 0.1587[/tex]

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of the distribution are given, respectively, by:

[tex]\mu = 51, \sigma = 11[/tex]

The probability that x is of at most 40 is the p-value of Z when X = 40, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 51}{11}[/tex]

Z = -1

Z = -1 has a p-value of 0.1587.

Hence the probability is:

[tex]P(X \leq 40) = 0.1587[/tex]

Which is the part to the left of X = 40 of the distribution, hence option B is correct.

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The given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

The given expression is:

[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )[/tex]

Note that:

[tex]sin(A+B)=sinAcosB+cosAsinB[/tex]

Applying the addition principle to the given expression, we have:

[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

Therefore, the given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

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Answer:

yes i help yes of course he help

The two colors can be chosen in 3 different ways.

If we have a set of N elements, the number of different sets of K elements (such that the order of the K elements does not matter) is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this case, we have 3 colors, so N=3, and we want to choose 2, then K=2.

Replacing that we get:

[tex]C(3, 2) = \frac{3!}{(3- 2)!*2!} = \frac{3*2*1}{1*2*1} = 3[/tex]

The two colors can be chosen in 3 different ways.

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The greatest or maximum value for the given function = -8.25

The minimum or smallest value for the given function =-4

The maximum value of a function is the highest value of that function. To calculate the greatest function, the following equation is used,

Formula max = c - (b2 / 4a)

Where,

a = 2

b = 5

C = -7

Therefore maximum function

= -7 -(5*2/4*2)

= -7-(10/8)

= -7 - 1.25

= -8.25

The minimum value of a function is the least value of that function.

Formula for the minimum = c - b^2/4a.

= -7-5^2/4*2

= -32/8

= -4

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Answer:

hundred million is the place value of 4 in 483800000

Answer:

Step-by-step explanation:

x is the number of students

(x+5) is the number of students and chaperons

$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have

2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)

The inequality "90 greater-than 2.50 (x + 5) "

90 > 2.50(x+5) is an error becase it excludes the possibility that the trip can cost exact $90 so we need not just greater than > , yet greater and equal than ≥ sign

90 ≥ 2.50(x+5)

-13, or +11, because they are both 12 places away from -1.

Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.

Step-by-step explanation:

The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.

The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.

For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.

Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

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A  function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

A horizontal asymptote of a graph can be defined as a horizontal line at  y = b where the graph tend to approach the line as an inputs approach to infinity ( ∞ or –∞).

A slant asymptote of a graph is known as a slanted line y = mx + b where the graph approaches the line as the inputs approach the positive infinity ∞ or  to the infinity –∞.

Thus, a function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

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Answer:

62 inches

Step-by-step explanation:

Since we need to leave 2 cm of room on both sides, the maximum width of TV is 136 - 2 - 2 = 132 cm. Next, use the Pythagorean Theorem, a^2 + b^2 = c^2, to find the diagonal.

132^2 + 86^2 = c^2

c^2 = 17424 + 7396

c^2 = 24820

c = 157.543644746 cm

Finally, convert the value to inches using the given conversion factor.

157.543644746/2.54 = 62.0250569868 inches

The information that can be collected to make an insurance policy will be information regarding the drivers.

It should be noted that the probability simply means the likelihood of the occurence of an event.

In this case, when choosing a car insurance policy, we can use the probability to determine the likelihood for the need to file a claim.

The course of action is to survey a number of drivers to get information from them.

Also, the benefit of this approach is that the food drivers can pay less premium while the disadvantage can be the cost that's involved.

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1. A situation that can use probability to make an informed decision is when deciding on an insurance policy to take.

2. The information that you would collect for an insurance policy decision includes insurance:

3. An understanding of probability helps the policyholder to:

Using probability, the insurance policyholder enjoys these benefits:

However, the limitations of probability in measuring insurance risks become prominent under the following situations:

Thus, probability analyzes insurance policies to determine the best plans and their deductible amounts.

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Answer:

68

Step-by-step explanation:

Lets first find the quantity of tape the computing center is purchasing/month.

3/5 Of their 1600 dollar spending is on the heavy duty tapes, meaning they are spending 960 dollars/month on heavy duty tape, if we divide that by the original price, 40, it will give us the original quantity of heavy tape they are purchasing, 24/month.

The other 2/5 of their money, 640 dollars, are spent on regular tape, meaning they purchase 20 rolls of regular tape/month.

Given they are purchasing 24 rolls of heavy tape and 20 rolls of regular tape every month, we can simply multiple those by the new prices and sum the results.

24*38=912

20*31=620

912+620=1532

Then to find the money they are saving we subtract the new price from the original price.

1600-1532=68

The radius of the circle exists approximately 4.95 feet.

Given the area of the square as A = 98 ft²

The side length of the square choice is equivalent to the diameter of the circle.

First, we must obtain the length of the square.

Area of a square [tex]= L^2[/tex]

98 = L²

L = √98

L = 9.89 ft

Thus the diameter of the circle exists at 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Therefore the radius of the circle exists approximately 4.95 feet.

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66.90% of the total bankruptcy fillings are not chapter 13 fillings.

What is bankruptcy?

This is a situation where the management of a company declares that it could no longer pay its debt obligations as it does have the cash resources to do so.

In this case, the total number of bankruptcy fillings is 936,795, out of which 310,061 are chapter 13 filings

fillings that were not chapter 13=936,795-310,061

fillings that were not chapter 13=626,734

fillings that were not chapter 13 as % of total fillings=626,734/936,795

fillings that were not chapter 13 as % of total fillings=66.90%

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