Suppose that your foot length L in inches is related to your height h in inches by L=(3/4)h^0. 5


In one (non-leap) year, you have a growth spurt in which you grow from 64 inches to 69 inches. For simplicity of modeling, assume that your height changes at a constant rate throughout the year. What was the fastest rate of growth that your foot experienced during this time?


Answer for inch/year. Three digits after the decimal points after round off.

Answer:

C'(2, 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of C by \(\frac{1}{3}\) , that is

C(6, 3 ) → C'( \(\frac{1}{3}\) (6), \(\frac{1}{3}\) (3) ) → C'(2, 1 )

True. A confidence interval is a range of values within which we are confident that the true population parameter lies.

Although it doesn't give us the exact value of the parameter, we can be sure (with a certain level of confidence, usually expressed as a percentage) that the true population parameter is included in the confidence interval.

A confidence interval is a range of values that is calculated from a sample of data, and it is used to estimate an unknown population parameter.

Although a confidence interval doesn't tell us the exact value of the true population parameter, it does provide valuable information about the precision and accuracy of our estimate. Specifically, a confidence interval tells us the range of values within which the true population parameter is likely to fall, based on the sample data and the level of confidence chosen.

In other words, we can be reasonably confident that the true population mean falls within the range of values provided by the confidence interval.

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Step-by-step explanation:

shifts up and down are easy. we only need to adjust the original functional value by the constant of the shift.

the whole curve of the function stays optically the same, but as every calculated functional value is increased or decreased by the same value, the whole curve simply shifts up or down.

shift down 3 units means "f(x) - 3".

so, just for the shift down we would have

g(x) = 2×sqrt(x) - 3

but we also need to shift right by 5 units.

what does that mean ?

it means that we want to have every functional value as before, but ... 5 units of x "later" (to the right) than before.

so, e.g.

f(0) = 2×sqrt(0) = 2×0 = 0

so, we still want that 0 as functional value, but it should happen now at x = 5 instead of x = 0.

in other words

g(5) = f(0)

and further on

g(6) = f(1)

g(7) = f(2)

...

but also

g(4) = f(-1)

...

g(0) = f(-5)

and so on.

now look at the structure :

this means

g(x) = f(x-5)

and so,

g(x) = 2×sqrt(x-5) - 3

this function is now exactly like f(x), just shifted 5 units right and 3 units down.

Answer:

e or f

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

Hopes this helps please mark brainliest

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.

Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)

Step-by-step explanation:

Answer:

-14, -4.5, -2, 0, 5.7, 6

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

i think its b

ejjdkdodid

Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.

In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.

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Answer:

The measurement for x is 80°

Step-by-step explanation:

In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.

Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.

180 - 100 = 80

So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°

x = 80°

Answer:

the sculpture melts 2 inches per hour.

If you have to select two that apply it will be the sculpture melts 2 inches per hour and the initial height of the sculpture is 24 inches.

Step-by-step explanation:

not 100% sure but try it

The initial height of the sculptor is 24 inches and it melts at a rate of 2 inches per hour.

A linear equation is in the form:

y = mx + b

Where m  is the rate of change (slope) and b is the initial value of y.

Given the equation:

h = -2t + 24

Where h is the height of the sculpture after t hours.

From the equation, the initial height of the sculptor is 24 inches and it melts at a rate of 2 inches per hour.

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The probability of guessing the 4-digit code correctly on the first try is 1/24.

Since there are 4 unique digits (1, 3, 5, and 7) and the code has 4 digits, there are a total of 4! (4 factorial) possible sequences for the code.

The calculation for 4! is 4 x 3 x 2 x 1 = 24.

Therefore, there are 24 different sequences.

Since you are trying to guess the code correctly on the first try, there is only one correct sequence out of the 24 possible sequences.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes), the number of favorable outcomes is 1 (correct sequence), and the total number of possible outcomes is 24.

So, the probability is 1/24.

Hence, Given the 4 unique digits 1, 3, 5, and 7 in a 4-digit code, there are 24 possible sequences for the code. The probability of guessing the code correctly on the first try is 1/24.

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The expected value of the total number of tosses is 1/(p + q).

Let's break down the problem step by step:

First, we toss coin A until we obtain heads for the first time. The expected number of tosses for this is 1/p, where p is the probability of obtaining heads with coin A.

Once we obtain heads with coin A, we move on to tossing coin B until we obtain heads for the first time. The expected number of tosses for this is 1/q, where q is the probability of obtaining heads with coin B.

Since the tosses of coin A and coin B are independent, we can sum up the expected number of tosses for each coin to find the total expected number of tosses.

Therefore, the total expected number of tosses is 1/p + 1/q.

In the given exercise, the probabilities of obtaining heads with coin A and coin B are not specified, so we cannot provide a specific numerical answer. However, the general formula for the expected value of the total number of tosses is 1/(p + q).

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Answer: $50,750

Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!

Answer:

45

Step-by-step explanation:

if they're both the same number and complimentary (adding up to 90) it'd be 90/2, which is 45.

The measure of each angle is 45 degrees.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If two angles are complementary, it means that they add up to 90 degrees.

Let the measure of angle A be x degrees.

Then, the measure of angle B is also x degrees since they are equal.

Now,

Angle A + Angle B

= x + x

= 2x

The sum of the two angles is equal to 90 degrees.

So,

Angle A + Angle B = 90

Substituting this into the previous equation,

2x = 90

Dividing both sides by 2.

x = 45

Therefore,

The measure of each angle is 45 degrees.

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The complement rule states that (C) P(A) = 1 - P(A')

The complement rule states that the probability of an event A occurring is equal to 1 minus the probability of the event A not occurring (the complement of A).

Mathematically, the complement rule is represented as:

P(A) = 1 - P(A')

where:

P(A) is the probability of event A,

P(A') is the probability of the complement of event A (not A).

The complement rule is based on the fact that the sum of the probabilities of an event and its complement must equal 1. In other words, if there are only two possible outcomes (A and not A), then the probability of A happening plus the probability of not A happening should equal 1.

By using the complement rule, we can determine the probability of an event indirectly by finding the probability of its complement and subtracting it from 1. This can be useful when calculating probabilities, especially when it is easier to calculate the probability of the complement of an event rather than the event itself.

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Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Step-by-step explanation:

Let the Zach's age be Z years.

6 times older than Zach = 6Z

Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)

Now,

\(6Z=3(Z+8)\)

\(6Z=3Z+24\)

\(6Z-3Z=24\)

\(3Z=24\)

Divide both sides by 3.

\(Z=\dfrac{24}{3}\)

\(Z=8\)

Therefore, the required equation is \(6Z=3(Z+8)\) and Zach's age is 8 years.

The formula for the arithmetic sequence of hours from 1 P.M. to midnight is: aₙ = 13 + (n - 2) * 1

Arithmetic sequence for the positive whole numbers less than 100:

To find the formula for an arithmetic sequence, we need to determine the common difference (d) between consecutive terms.

In this case, the first term (a₁) is 1, and the last term (aₙ) is the largest positive whole number less than 100, which is 99. Since the common difference between consecutive terms is 1, we can use the formula:

aₙ = a₁ + (n - 1) * d

Substituting the values:

99 = 1 + (n - 1) * 1

Simplifying the equation:

n - 1 = 99 - 1

n - 1 = 98

Adding 1 to both sides:

n = 99

Therefore, the formula for the arithmetic sequence of positive whole numbers less than 100 is:

aₙ = 1 + (n - 1) * 1

Arithmetic sequence for the hours of the day from 1 P.M. to midnight:

In this case, the first term (a₁) is 1 P.M., which is equivalent to 13 hours. The last term (aₙ) is midnight, which is equivalent to 12 hours. The common difference (d) between consecutive terms is 1 hour.

Using the same formula as above, we can write:

aₙ = a₁ + (n - 1) * d

Substituting the values:

12 = 13 + (n - 1) * 1

Simplifying the equation:

n - 1 = 12 - 13

n - 1 = -1

Adding 1 to both sides:

n = 0

However, since we're looking for the hours from 1 P.M. to midnight, we want to exclude 1 A.M., which would be n = 0. Therefore, we need to adjust the formula slightly:

aₙ = a₁ + (n - 2) * d

So, the formula for the arithmetic sequence of hours from 1 P.M. to midnight is:

aₙ = 13 + (n - 2) * 1

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Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer: 6x10°+97

Step-by-step explanation:

6x10°-4-10-1+30-3+7x10+2x10-5

6x10°-4-10-1+30-3+70+2x10-5

6x10°-4-10-1+30-3+70+20-5

6x10°+97

Answer:

.

Step-by-step explanation:

Answer:

2.4%

Step-by-step explanation:

79.20/0.6=132

132/5500*100=24%

Answer:

y=-3.5x+9

Step-by-step explanation:

the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9

Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.

1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.


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39.8 mol of Ar gas would occupy approximately 1.32 x 10^5 mL under the same temperature and pressure.

To find out how many mL 39.8 mol of Ar gas would occupy under the same temperature and pressure, we can use the concept of molar volume.

Molar volume is the volume occupied by one mole of a gas at a specific temperature and pressure. At standard temperature and pressure (STP), which is 0 degrees Celsius (273.15 Kelvin) and 1 atmosphere (atm) pressure, the molar volume is known to be 22.4 liters.
Given that 21.5 mol of Ar gas occupies 71.4 L, we can calculate the molar volume as follows:

Molar volume = Volume / Number of moles
Molar volume = 71.4 L / 21.5 mol
Molar volume = 3.323 L/mol

Now, we can use the molar volume to find the volume occupied by 39.8 mol of Ar gas.
Volume = Number of moles x Molar volume
Volume = 39.8 mol x 3.323 L/mol
Volume = 131.8974 L

To convert this volume to milliliters (mL), we can use the conversion factor 1 L = 1000 mL:
Volume in mL = Volume in L x 1000
Volume in mL = 131.8974 L x 1000
Volume in mL = 131,897.4 mL

Finally, we need to express the answer in scientific notation with 3 significant figures.
131,897.4 mL can be written as 1.32 x 10^5 mL (rounded to 3 significant figures).

Therefore, 39.8 mol of Ar gas would occupy approximately 1.32 x 10^5 mL under the same temperature and pressure.

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Answer:

2a+50=5a-4

5a-2a=50+4

3a=54

a=18

Answer:

\(a=18\)

Step-by-step explanation:

\(2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3a}{-3}=\frac{-54}{-3}\\Simplify\\\frac{-3a}{-3}=\frac{-54}{-3}\\\mathrm{Simplify\:}\frac{-3a}{-3}:\quad a\\\frac{-3a}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3a}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\)

\(=a\\\mathrm{Simplify\:}\frac{-54}{-3}:\quad 18\\\frac{-54}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{54}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{54}{3}=18\\=18\\a=18\)