Analyze the table showing the number of days and cost of the trip.
What is the cost per day?
Eternal City Bike Tours
Length of Trip (days) Cost (euros)
3
75
4
100
5
125
6
150
?
euros per day
DONE

T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log

This statement is true.

Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.

For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.

In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.

Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.

For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.

Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.

Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.

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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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In a case whereby After watching baking shows on T.V., Suzie signs up for a cake-decorating class.  Suzie puts 3 sugar flowers on each cupcake. In all, Suzie puts 36 sugar flowers on the cupcakes. The equation can you use to find the number of cupcakes c Suzie decorates is 3c= 36.

Based on the condition that is been given from the question, the formula can be written as 3c= 36

If we divide both sides by 3, we have (C= 12) which implies that  Suzie puts 3 sugar flowers on each cupcake.

Therefore, the equation is 3c= 36

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if there are 6 squares and 9 triangles, the ratio of squares to triangles would be 6:9 or simplified as 2:3. This means that for every 2 squares, there are 3 triangles.

A part-to-part ratio that compares the number of squares to triangles could be:

Number of squares : Number of triangles

We can use ratio language to describe this ratio relationship as "the ratio of the number of squares to the number of triangles." This means that we are comparing the quantity of squares to the quantity of triangles, and expressing this comparison in the form of a ratio. For example, if there are 6 squares and 9 triangles, the ratio of squares to triangles would be 6:9 or simplified as 2:3. This means that for every 2 squares, there are 3 triangles.

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Step-by-step explanation:

a and b may be the correct answer

Answer:

0.21875

Step-by-step explanation:

if the common ratio is 0.5 keep multiplying till the eight term

3.5 ×0.5=1.75 fifth term

1.75×0.5=0.875 sixth term

0.875×0.5=0.4375 seventh term

0.4375×0.5=0.21875 eight term

Therefore the eight term is 0.21875

Answer:

23

Step-by-step explanation:

\(3m^{2} - 4 = 3 * (-3)^{2} - 4 = 3 * 9 - 4 = 27 - 4 = 23\)

In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?

Answer:

yes

Step-by-step explanation:

540 X 2.5 = 1350 calories burned at soccer.

1350 + 800 = 2150 total calories burned.

2150 > 2000.

yes, more energy was used than consumed

Answer:

10 i think

Step-by-step explanation:

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Step-by-step explanation:

x= -2,

(x - 5) / 2= -6

( (-2) - 5) / 2= -6

(-7) / 2 = -6

-3.5 = - 6

right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.

x=2,

(x - 5) / 2= -6

(2 - 5) / 2= -6

(-3) / 2= -6

-1.5 = - 6

right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.

x= -17

(x - 5) / 2= -6

( ( -17) - 5) / 2= -6

(- 22) / 2= -6

-11 = -6

right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.

x= -7,

(x - 5) / 2= -6

( ( -7) -5) / 2= -6

(-12) / 2= -6

-6= -6

right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.

1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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Answer:

5+9+13+17+21+25+29+33= 152

Answer:

5+9+13+17+21+25+29+33=148

Answer:

The answer is 9

Step-by-step explanation:

for the equation:

move the -6x

x^2 + c - 6x

To find c :

c = (b/2)^2

this means you have to divide the coefficient of x by 2 then square the result

If you dont understand I put a picture of all the steps

Answer:

16+c=25

Step-by-step explanation:

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Based on the data, the probability that Rayanna lands on the section marked "win a second spin" is 0.066.

To find the probability that Rayanna lands on the section marked "win a second spin" we must divide the number of squares we have per turn (1) into the number of square possibilities we have (15).

Based on the above, we can infer that the probability that Rayanna lands on the section marked "win a second spin" is 0.066.

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Answer:

first you do 11-3 to get 8. then you multiply 8 and 6 to get 48

Answer:

z'(8, 12)

Step-by-step explanation:

Multiply each coordinate by the scale factor of the dilation.

z(2, 3) -----> z'(8, 12)

Less than half of the surveyed internet users have posted photos or videos online. To determine if less than half of internet users have posted photos or videos online based on the poll, we can follow these steps:

1. Calculate the proportion of users surveyed who have posted photos or videos online.
2. Compare the proportion to 0.5 (which represents half).

Step 1: Calculate the proportion
The poll surveyed 1,765 internet users, and 865 of them posted a photo or video online. To calculate the proportion, we can divide the number of users who posted (865) by the total number of users surveyed (1,765):

Proportion = 865 / 1,765 ≈ 0.49

Step 2: Compare the proportion to 0.5
Since 0.49 is less than 0.5, it appears that less than half of the surveyed internet users have posted photos or videos online.

However, we cannot conclude that this is true for all internet users, as the poll surveyed a limited sample size of 1,765 users. A larger, more representative sample may be needed to draw a more accurate conclusion.

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Complete Question:

a poll surveyed 1765 internet users and found that 865 of them had posted a photo or video online. can you conclude that less than half of internet users have posted photos or videos online? use the ∝ = 0.01 level of significance and the P value method with the TI-84 calculator.

Answer:

length of the photograph will be 4.2 in. after pressing the button 5 times.

Step-by-step explanation:

By pressing the button, every time size of the photograph gets reduced by 12%.

Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,

L = \(l(1-\frac{12}{100})^{n}\)

Where l = Actual length of the photograph

L = length of the reduced image

n = Number of times the button has been pressed

For l = 8 in. and n = 5

L = \(8(1-0.12)^{5}\)

  = \(8(0.88)^{5}\)

  = 4.22 in

L ≈ 4.2 in.

Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.

The length of the photograph's copy when the button is pressed the 5th times is 4.2 inches

The question is an illustration of an exponential function.

An exponential function is represented as:

\(y = ab^x\)

Where:

So, the function becomes

\(y = 8 \times (1 - 12\%)^x\)

Express 12% as decimal

\(y = 8 \times (1 - 0.12)^x\)

This gives

\(y = 8 \times 0.88^x\)

When the button is pressed the 5th times, we have:

\(y = 8 \times 0.88^5\)

\(y = 4.2\)

Hence, the length of the photograph's copy is 4.2 inches

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Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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Answer:

Step-by-step explanation:

Given the algebraic equation of a line, we are able to graph it in a number of ways. In this section, we will be given a geometric description of a line and be asked to find the algebraic equation. Finding the equation of a line can be accomplished in a number of ways, the first of which makes use of slope-intercept form,  

y

=

m

x

+

b

. If we know the slope, m, and the y-intercept, (0, b), we can construct the equation.

Example 1: Find the equation of a line with slope  

m

=

−

5

8

and y-intercept (0, 1).

Solution: The given y-intercept implies that  

b

=

1

. Substitute the slope m and the y-value of the y-intercept b into the equation  

y

=

m

x

+

b

.

Answer:  

y

=

−

5

8

x

+

1

Answer:

Step-by-step explanation:

1/2a+20=50

1/2a=30

a=10

Answer:

a= 60

Step-by-step explanation:

1/2a+2/3b=50, when b=30

Let's first subsitute 30 into b:

1/2a+2/3(30)=50

According to the order of operations, we must multiply 2/3 and 30 first.  So:

2/3 times 30 equals 20.

2/3 times 30/1.  3 goes into 30 ten times, so 2 times 10= 20.

Now we got:

1/2a+20=50

Since 20 and 50 are like terms, you want to geth those two together.  So, move the positive 20 to the other side where 50 is.  Since 20 got moved to the opposite side, it changes signs and becomes negative.

So:

1/2a=50-20        

50-20= 30

1/2a=30

Multiply each side by 2 because 2 is the only number that'll make the variable a just 1a.

1/2a times 2= 1a

30 times 2= 60, so:

1a= 60, which is also a= 60.

So a= 60.

The probability that a person prefers tea given that they prefer both coffee and tea is 0.9975 or 99.75%.

The probability that a person prefers tea given that they prefer both coffee and tea can be found using the conditional probability formula:

P(Tea|Coffee and Tea) = P(Coffee and Tea|Tea) * P(Tea) / P(Coffee and Tea)

where P(Coffee and Tea|Tea) is the probability that a person prefers both coffee and tea given that they prefer tea, P(Tea) is the probability that a person prefers tea, and P(Coffee and Tea) is the probability that a person prefers both coffee and tea.

From the survey results, we know that 40% of the people prefer both coffee and tea, which means that P(Coffee and Tea) = 0.4. Also, 35% of the people prefer tea, which means that P(Tea) = 0.35.

To find P(Coffee and Tea|Tea), we can use the fact that everyone who prefers both coffee and tea also prefers tea, so:

P(Coffee and Tea|Tea) = P(both Coffee and Tea)/P(Tea) = 0.4/0.35 = 1.14

Now, we can substitute these values into the conditional probability formula:

P(Tea|Coffee and Tea) = 1.14 * 0.35 / 0.4 = 0.9975

Therefore, the probability that a person prefers tea given that they prefer both coffee and tea is 0.9975 or 99.75%.

In other words, almost all people who prefer both coffee and tea also prefer tea.

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The statement "when conducting a two-tailed test for the population proportion "p," we reject the null hypothesis if the hypothesized value falls outside the confidence interval" is false because confidence interval provides a range of plausible values for the population proportion.

A confidence interval provides a range of plausible values for the population proportion "p" based on the sample data. It quantifies the uncertainty associated with estimating the true proportion. Typically, a 95% confidence interval is used, which means that if we were to repeat the sampling process multiple times, we would expect 95% of the confidence intervals to contain the true population proportion.

When conducting a two-tailed test, we reject the null hypothesis if the hypothesized value (in this case, 0.5) falls outside the confidence interval. In other words, if the hypothesized value is not within the range of plausible values for the population proportion based on the confidence interval, we reject the null hypothesis.

The reason behind this is that if the hypothesized value falls within the confidence interval, it implies that the null hypothesis is still plausible. On the other hand, if the hypothesized value falls outside the confidence interval, it suggests that the null hypothesis is unlikely to be true, and we have evidence to support the alternative hypothesis.

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