At a little-know vacation spot, taxi fares are bargain. A 28 mile tail ride takes 32 minutes and cost $22.40. You want to find the cost of a 35 minute taxi ride. What unit price do you need

Answer:

the number is 9

Step-by-step explanation:

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

I think it is 0.5

Step-by-step explanation:

32²×8²×16² = 16777216

64²×4³×128 = 33554432

16777216 ÷ 33554432= 0.5

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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Answer:

$10,0090 dolar

Step-by-step explanation:

hope it's help!

Answer:

I belive the answer would be 4ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf.  : ) ahaha

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Answer:

325 km

Step-by-step explanation:

we are given the average speed of Moana's motorcycle and we want to figure out her total distance to do so convert hours to minutes so,

therefore,

\( \begin{array}{ccc} \rm 60\: minutes \implies 50kph \\ \displaystyle\rm1 \: minutes \implies \frac{50}{60} kph \\ \\ \displaystyle \rm390 \: minutes \: \implies \frac{50}{60} \times 390kph \\ \xrightarrow{ \rm reduce \: fraction} \displaystyle \frac{5}{6}\times 390 \\ \displaystyle \xrightarrow{ \rm \: reduce\: fraction}5 \times 65 \\ \xrightarrow{ \rm \: simplify\: multiplication}325\end{array}\)

hence,

she travels 325 km in total

Answer:

1/6

Step-by-step explanation:

hope this helps :)

1/6

divide both by 2 and you get 1/6

The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011

In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.

To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.

Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.

Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.

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The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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a) 2.7% of mayflies live at least 26.8 hours.

b) 85% of the mayflies die after approximately 26.2 hours.

a) We can begin by standardizing the value of 26.8 hours:

\(z = \frac{26.8 - 23.7}{1.6} = 1.9375\)

Using a standard normal table or a calculator, we can find that the probability of a standard normal random variable being greater than 1.9375 is approximately 0.027, or 2.7%. Therefore, about 2.7% of mayflies live at least 26.8 hours.

b) We want to find the value of x such that 85% of the mayflies have a lifespan less than x. To do this, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution:

\(z = \text{invNorm}(0.85) \approx 1.04\)

Then we can solve for x:

\(x = \mu + z\sigma = 23.7 + 1.04(1.6) \approx 26.2\)

Therefore, 85% of the mayflies die after approximately 26.2 hours.

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The answer is 406 apples.

2436 apples divided by 6 boxes gives you the number of apples in each box.

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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Answer:

Estimated cost = $120

Exact cost = $134.075

Step-by-step explanation:

Estimated cost :

Trip distance = 1200

Miles per gallon = 30

Cost per gallon of gas = $3

Cost of gasoline for the trip:

(trip distance / miles per gallon) * cost per gallon of gas

= (1200 / 30) * $3

= 40 * $3

= $120

Exact cost :

Trip distance = 1211

Miles per gallon = 28

Cost per gallon of gas = $3.10

Exact Cost of gasoline for the trip:

(1211 / 28) * $3.10

43.25 * $3.10

= $134.075

Answer:

Confidence interval for the population mean is between 15 homes and 19 homes

Step-by-step explanation:

Given that:

Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98

α = 1 - C = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01.

The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33

The margin of error (E) is:

\(E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2\)

The confidence interval = μ ± E = 17 ± 2 = (15, 19)

Confidence interval for the population mean is between 15 homes and 19 homes

Answer:

1 meter of rise over 3 meters distance

Step-by-step explanation:

Slope is the rise / run ratio

1/3 slope means 1 meter of rise over 3 meters long section (or other unit of length)

The expression 3log28 4log21 2 − log32 is equivalent to 3log2 + 4log2 + 2 − log3.

Given the expression 3log28 4log21 2 − log32

To find an equivalent expression for this, let's simplify each term one by one. 3log28 can be simplified as follows

:3log28 = log28³= log2 (2³)⁴log21 can be simplified as follows:

4log21 = log21⁴= log2 (2¹)⁴= log2 2⁴= 4 (log22)2 can be simplified as follows:

2 = log2 232 can be simplified as follows:log32 = log2 2⁵= 5 (log22)

Now substituting these simplified terms in the expression given:3log28 4log21 2 − log32 = log2 (2³)⁴ + 4 (log22) + 2 − 5 (log22)= 3log2 + 4log2 + 2 − log3

Thus, the expression 3log28 4log21 2 − log32 is equivalent to 3log2 + 4log2 + 2 − log3.

Given the expression 3log28 4log21 2 − log32, we have to find an equivalent expression for this expression.

Let's simplify each term one by one.3log28 can be simplified as follows

:3log28 = log28³= log2 (2³)⁴= 12 log22⁴log21 can be simplified as follows:

4log21 = log21⁴= log2 (2¹)⁴= log2 2⁴= 4 (log22)2 can be simplified as follows:

2 = log2 232 can be simplified as follows:

log32 = log2 2⁵= 5 (log22)

Now substituting these simplified terms in the expression given:

3log28 4log21 2 − log32 = log2 (2³)⁴ + 4 (log22) + 2 − 5 (log22)= 3log2 + 4log2 + 2 − log3

Thus, the expression 3log28 4log21 2 − log32 is equivalent to 3log2 + 4log2 + 2 − log3.

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Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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According to the graph:

There is a local minimum at (2,2)

Local maximum at (-1,4) and (5,5)

The function is decreasing in the interval:

The function is increasing in the interval:

Answer:

Local minimum: (2,2)

Local maximum: (-1,4) and (5,5)

Decreasing: [-1, 2] and [5, ∞]

Increasing: [ - ∞, - 1] and [2, 5]

To find the average rate of change of the function g(x) = -8x + 6 between x = a and x = a + h, we need to calculate the slope of the line passing through these two points.

The formula for average rate of change is (g(a + h) - g(a)) / h, where g(a + h) represents the value of the function at x = a + h, g(a) represents the value of the function at x = a, and h is the change in x.

Substituting the values into the formula, we have ((-8(a + h) + 6) - (-8a + 6)) / h.

Simplifying this expression, we get (-8a - 8h + 6 + 8a - 6) / h.

Cancelling out the -8a and 6 terms, we are left with -8h / h.

Finally, the average rate of change of the function g(x) = -8x + 6 between x = a and x = a + h simplifies to -8.

Therefore, the average rate of change of the function is -8.

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Answer:

Step-by-step explanation:

The vorticity of the flow field is zero everywhere. This means that the flow is irrotational.

The vorticity of a flow field is given by the curl of the velocity vector. Therefore, we can calculate the vorticity of the given flow field as follows:

v = -xy^3 y^4

Let's first express the velocity vector in terms of its component functions:

vx = -xy^7

vy = 0

vz = 0

Now, let's calculate the curl of the velocity vector:

curl(v) = (d(vz)/dy - d(vy)/dz)i + (d(vx)/dz - d(vz)/dx)j + (d(vy)/dx - d(vx)/dy)k

Since vz and vy are both zero, we can simplify this expression to:

curl(v) = (d(vx)/dz)j + (d(vy)/dx)k

Taking partial derivatives, we get:

(d(vx)/dz) = 0

(d(vy)/dx) = 0

Therefore, the vorticity of the flow field is zero everywhere. This means that the flow is irrotational.

In summary, the expression for the vorticity of the flow field described by v=-xy^3 y^4 is zero everywhere, indicating that the flow is irrotational.

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Type fish A are 8 inches long and Type B fish are 7 inches long.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Marta's aquarium holds 38 gallons of water

and Hank's aquarium hold 52 gallons of water.

let length of fish A be x

and, the length of type B be y.

So, 3x+ 2y = 38

and, 3x+ 4y = 52

Solving above equation

2y = 52-38

2y = 14

y=7

and, 3x+ 2(7) = 38

3x = 38-14

3x= 24

x= 24/3

x= 8

Hence, Type fish A are 8 inches long and Type B fish are 7 inches long.

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