You are looking at buying a gym membership. Total Gym has a starting fee of $100 and costs $20 every month. Fitness Plus Elite costs $25 each month with an initial membership cost of $35. At what month will both memberships cost the same? Write and solve an equation to answer the problem. Explain what the answer means for the problem.

The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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Answer:

y = 9

Step-by-step explanation:

since opposite sides are congruent and opposite angles are conguent, we use an equal sign

2y + 9 = 27

Step 1: Subtract 9 from both sides.

2y+9−9=27−9

2y=18

Step 2: Divide both sides by 2.

2y/2 = 18/2

y = 9

The p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year is 0.0060 and the value of test statistic is - 2.51

54% of business owners gave a holiday gift to their employees. a survey of business owners conducted this year indicates that 32 of them plan to provide a holiday gift to their employees.

The survey results are based on a sample of 80 business owners

We need to find the value of test statistic.

Expected number = np  = 32

80 x p = 32

p = 0.4

This is a left tailed test

test statistic is (p^ - p)/√(pq/n)

= (0.40 - 0.54)/√(.54 - (1 - 0.54) / 80)

= 0.14/√((0.54 - 0.46)/80)

= -2.51

p value = P(z < - 2.51)

= 0.00060366

= 0. 0060

Therefore, the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year is 0.0060 and the value of test statistic is - 2.51

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Answer:

An urban area would be New York City, a rural area would be a small town in western Kansas.

Step-by-step explanation:

The particle crosses the origin at a time of 2.346 seconds.

To find the time at which the particle crosses the origin, we need to determine the value of t when x(t) is equal to zero, since the particle will be at the origin when its position is zero.

Using the given position function x(t) = 5.42 m - 2.31 m/s t, we can set x(t) equal to zero and solve for t:

x(t) = 0

5.42 m - 2.31 m/s t = 0

Subtracting 5.42 m from both sides, we get:

-2.31 m/s t = -5.42 m

Dividing both sides by -2.31 m/s, we get:

t = 5.42 m / 2.31 m/s

t = 2.346 s

Therefore, the particle crosses the origin at a time of 2.346 seconds.

In summary, we find the time at which the particle crosses the origin by setting the position function equal to zero and solving for the corresponding value of t. This method works for any one-dimensional motion along a straight line.

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First, find the slope of the two points.

y2-y1/x2-x1

3+2/8-4

slope=5/3

Then use the point slope formula to create an equation

y-y1=m(x-x1)

y-3=5/3(x-8)

y-3=5/3x-40/3

y= 5/3x - 31/3

The equation of the line that passes through the points (4, -2) and (8, 3) is

y = (5/4)x - 7.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Points:

(4, -2) and (8, 3)

The equation of a line is y = mx + c.

m = (3 + 2)/(8 - 4)

m = 5/4

Now,

(4, -2) = (x, y)

-2 = 5/4 x 4 + c

-2 = 5 + c

c = -2 - 5

c = -7

Thus,

The equation of a line is y = (5/4)x - 7.

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Answer:

It was 3

Step-by-step explanation:

This is because its the one clóset to 0

I hope this help you out

Answer: 10

Step-by-step explanation: if you multiply the 11 gallons of gasoline times 2 to get 22 gallons of gaso line then you have to multiply the 5 oz of oil times 2 to get 10 oz of oil

You are buying bottles of a sports drink for a softball team. Each bottle costs 1.19  Then the  total cost of purchasing 15 bottles of the sports drink is $17.85.

The function rule that models the total cost of a purchase is given by:

Total cost = Cost per bottle × Number of bottles

In this case, the cost per bottle is $1.19, and the number of bottles is the variable, which we can denote as "x." Therefore, the function rule can be written as:

Total cost = 1.19x

To evaluate the function for 15 bottles, we substitute the value of 15 for "x" in the function:

Total cost = 1.19 × 15

Total cost = $17.85

Therefore, the total cost of purchasing 15 bottles of the sports drink is $17.85.

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If we take t as total paid amount

x as the amount before adding tip

Then, the bill before adding tip would be

x = 31.29(1 - 0.196)

x = 25.15

If we take t as total paid amount

x as the amount before adding tip

We give our servers tips to show our appreciation for their helpfulness. As a statement that the service was subpar, we can also leave a very little tip or none at all.

However, how did tipping begin in the first place? Why don't businesses simply pay their staff a standard salary and raise their pricing to cover the difference? They do in certain areas, but many of us, particularly in the United States, are so used to tipping for good service and unsure of protocol that we end up tipping our servers regardless.

There are numerous theories as well.

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Answer:

50°

Step-by-step explanation:

In a parallelogram, opposite angles are equal and all angles sum up to 360°.

So, 2x + 2x + x + 30 + x + 30 = 360

6x + 60 = 360

6x = 300

x = 50°

I think this is the answer.

The slope of a function is the average rate of change of the function.

The meaning of the slope is that: Kayla's charges per child is #2

The function is given as:

\(\mathbf{f(x) = 2x + 4}\)

A linear function is represented as:

\(\mathbf{f(x) = mx + c}\)

Where:

m represents the slope of the function.

By comparison,

\(\mathbf{m = 2}\)

From the question, we understand that:

The function models the average money charged to babysit children

So, the interpretation of the slope is that:

Kayla's charges per child is #2

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Given:

Simplife:

The given simplifies equation is:

After the compare the both inequality:

a=2

b=2

c=2

d=6

e=1

f=9

The term q^2 in the Hardy-Weinberg equation represents the frequency of homozygous recessive individuals in a population.

In the Hardy-Weinberg equation, the term q^2 is used to calculate the frequency of homozygous recessive individuals in a population. The equation is based on the principle that in the absence of evolutionary forces, such as mutation, migration, selection, and genetic drift, the allele frequencies in a population remain constant from one generation to the next.

In the equation, q represents the frequency of the recessive allele, and q^2 represents the frequency of individuals who are homozygous for the recessive allele. By squaring q, we obtain the proportion of individuals who carry two copies of the recessive allele. This is because in a population in Hardy-Weinberg equilibrium, the probability of an individual inheriting the recessive allele from both parents (represented by q * q) is q^2.

To understand this better, let's consider an example. Suppose we have a population in which the frequency of the recessive allele (q) is 0.3. To calculate the frequency of homozygous recessive individuals (q^2), we square q: (0.3)^2 = 0.09. This means that 9% of individuals in the population would be expected to be homozygous for the recessive allele.

The Hardy-Weinberg equation and its components are valuable tools in population genetics. They help us understand how genetic variation is maintained or changes over time in populations and provide a baseline against which we can compare real-world data to detect deviations that may indicate evolutionary processes at work.

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Answer:

16A.) C

16B.) x=6; the students each paid $6 for their concert tickets.

Step-by-step explanation:

[Note: I know that this answer is lengthy, but the explanation is very simple and is worth reading]

16A.)

First, let's "figure out" the amount of money spent by the students. Each student paid $x for a ticket and $4 on parking. That means that the cost for one student would be $x + $4. To figure out how much it would cost 12 students, we can take the amount it costs 1 student and multiply it by 12. Again, since x + 4 is the cost for 1 student, 12( x + 4 ) would be the cost of 12 students. Next, let's figure out how much the adults paid for their tickets.

Now, let's find the cost the adults paid for the ticket. If the students paid $x and the adults paid four times as much for each of their tickets, then the cost of the ticket for the adults must have been $4x. Now, we know each adult paid $4x for a ticket and $6 on parking. That means that the cost for one adult would be $4x + $6. To figure out how much it would cost 4 adult , we can take the amount it costs 1 adult and multiply it by 4. Again, since 4x + 6 is the cost for 1 adult, 4( 4x + 6 ) would be the cost of 4 adults.

Since the 12 students paid 12(x+4) dollars for the concert and the 4 adults paid 4(4x+6) and since we know they spent the same amount of money, we can set 12(x+4) and 4(4x+6) equal to each other. This gives us the answer 12(x+4)=4(4x+6), or C, for question 16A.

16B.)

To solve the equation 12(x+4)=4(4x+6) means to solve for x. So, let's solve for x:

12 ( x + 4 ) = 4 ( 4x + 6 )   [Distribute the 12 on the left side]

12x + 48 = 4 ( 4x + 6 )   [Distribute the 4 on the right side]

12x + 48 = 16x + 24   [Subtract 12x from both sides]

48 = 4x + 24   [Subtract 24 from both sides]

24 = 4x   [Divide both sides by 4 to get the value of x]

6 = x

Now, for the second half of the question, what does x=6 mean? Well, if we look at the previous problem, x was the amount of money spent by the students for the concert ticket. So, the answer x=6 tells us that the students paid $6 for their concert tickets.

[Note: They didn't ask for the price of the adults' tickets, but if they did, we would have plugged in x=6 into the equation 4x to find that the cost of the adults' tickets were $24.]

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The percentage of Hospital A patients that died is 3% and the percentage of Hospital B patients that died is 2%. Hospital B is potentially safer based on the provided data.

To find the percentage of Hospital A patients who died, we need to divide the number of patients who died by the total number of patients in Hospital A and multiply by 100 to get a percentage. The same process applies for Hospital B.

For Hospital A:
- Number of patients who died = 63
- Total number of patients = 2100
- Percent of patients who died = (63/2100) x 100 = 3%

For Hospital B:
- Number of patients who died = 16
- Total number of patients = 800
- Percent of patients who died = (16/800) x 100 = 2%

Therefore, 3% of Hospital A patients died and 2% of Hospital B patients died.

Based on this data, Hospital B has a lower percentage of patients who died after surgery, making it potentially safer in terms of patient outcomes. However, it is important to consider other factors as well, such as the types of surgeries performed and the overall health of the patients before making a final decision about which hospital is safer.

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The phase angle between the current and voltage in a pure resistive circuit is 0 radians.

How to determine the answer:In a pure resistive circuit, the phase angle between current and voltage is \(0\) radians.

This is because a pure resistive circuit has a voltage and a current in the same phase, which implies that the two are in phase.

To understand this, let's look at the two main parts of the question: a pure resistive circuit and the phase angle between current and voltage.

A pure resistive circuit is a circuit in which the only element is a resistor.

This means that the circuit does not contain any inductors or capacitors and, as a result, does not have any phase shift in the current or voltage.

The phase angle between current and voltage is the angle between the current and voltage waveforms in a circuit.

The angle is measured in radians and is positive for capacitive circuits and negative for inductive circuits.

In conclusion, the phase angle between current and voltage in a pure resistive circuit is \(0\) radians.

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Answer:

3x-70

Step-by-step explanation:

(3y+40 ) 120x is the answer of that question answer

Answer:

it is -5 if I'm not mistaking

Answer:

Baboom

Step-by-step explanation:

7.7/3.6 = 2.3b

b= 2.3 × 3.6/7.7

b= 2.3 × 0.47

b=

1.081

________________________________________

v

=

4.3377

_______________________________

x = 22.88672035

Answer:

No, I don't think so.

Step-by-step explanation:

The sample space of the experiment of rolling three fair coins consists of all possible outcomes when three coins are tossed simultaneously. Therefore, there are 2 x 2 x 2 = 8 possible outcomes in the sample space.

In this experiment, we are rolling three fair coins. To find the number of elementary events in the sample space, we need to consider all possible outcomes.

An elementary event is an individual outcome in the sample space. The sample space is the set of all possible outcomes for an experiment. In this case, each coin can have 2 possible outcomes: heads (H) or tails (T).
Each outcome in the sample space is an elementary event, which is an outcome that cannot be further broken down into simpler outcomes. Therefore, there are 8 elementary events in the sample space of this experiment.

Since there are three coins, we can determine the number of elementary events in the sample space by multiplying the number of outcomes for each coin: 2 (for the first coin) x 2 (for the second coin) x 2 (for the third coin) = 8.

So, there are 8 elementary events in the sample space of this experiment. The correct answer is c. 8.

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Answer:

166

Step-by-step explanation:

1) the area of triangles on the left and right sides: 2*13

2) the area of triangles on top and bottom sides: 10*12

3) the area of the rectangle in the middle: 10*2

4) Altogether: 2*13+10*12+10*2=166

The hexadecimal number 1F2D.3B7 can be converted to an octal number by grouping the hexadecimal digits and converting them to their equivalent octal representation. The octal representation of 1F2D.3B7 is X3474.63.

To convert the hexadecimal number 1F2D.3B7 to octal, we can break it down into two parts: the whole number part and the fractional part.

First, let's convert the whole number part, 1F2D, to octal. Each hexadecimal digit can be represented by four binary digits, and each octal digit can be represented by three binary digits. So we can convert the hexadecimal digits to binary and then group them into sets of three binary digits.

1F2D in binary is 0001 1111 0010 1101. Grouping them into sets of three binary digits, we get 001 111 100 010 110 110 1.

Converting each group of three binary digits to octal, we get 1742631.

Next, let's convert the fractional part, 3B7, to octal. We can do this by converting each hexadecimal digit to its binary representation and then grouping them into sets of three binary digits.

3B7 in binary is 0011 1011 0111. Grouping them into sets of three binary digits, we get 011 110 110 111.

Converting each group of three binary digits to octal, we get 3467.

Therefore, the octal representation of the hexadecimal number 1F2D.3B7 is X3474.63.

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Answer:

102 cups

Step-by-step explanation:

314-212=102

102 cups of sugar.

Hope this helps

Step-by-step explanation:

Because when we have 2 negatives there's no way to end up with a positive, its like mixing oil with water hope this helped