A scientist walking through a forest recorded as integers the heights of 5 trees standing in a row. She observed that each tree was either twice as tall or half as tall as the one to its right. Unfortunately some of her data was lost when rain fell on her notebook. Her notes are shown below, with blanks indicating the missing numbers. Based on her observations, the scientist was able to reconstruct the lost data. What was the average height of the trees, in meters?

To find the number of five-digit integers that have exactly two distinct digits, we can approach this by counting the number of possible arrangements for the two distinct digits in a five-digit number.

The first digit cannot be 0 since we are looking at numbers between 10000 and 99999. So, there are nine choices for the first digit. There are also nine choices for the second digit since it cannot be equal to the first digit. We can choose the positions of the two digits in 5C2 ways (since we are choosing two positions from five). Once we have placed the two digits in the chosen positions, we have no choice for the remaining three digits since they must be the same as one of the two distinct digits. So, there are two choices for the remaining three digits.Consequently, the total number of such five-digit integers is:9 × 9 × 5C2 × 2 = 2430. In the question, we are asked to find the number of five-digit integers that have exactly two distinct digits. We can solve this problem by considering the possible arrangements of the two distinct digits in a five-digit number. Since the first digit cannot be 0, we have nine choices for the first digit. Similarly, we have nine choices for the second digit since it cannot be equal to the first digit. We can choose the positions of the two digits in 5C2 ways (since we are choosing two positions from five). Once we have placed the two digits in the chosen positions, we have no choice for the remaining three digits since they must be the same as one of the two distinct digits. So, there are two choices for the remaining three digits. Therefore, the total number of such five-digit integers is 9 × 9 × 5C2 × 2 = 2430.

Thus, there are a total of 2430 five-digit integers that have exactly two distinct digits.

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Answer: 127

Step-by-step explanation:

Answer:

This question is incomplete

Step-by-step explanation:

Answer:

I may not know the answer but from what I. seeing we taking the same test TwT

The pressure at the depth of 5 meters will be 333.34 N / cm ²

Pressure is defined as the normal force acting at the per unit area of any object.

Given that:-

The pressure at the 5 m below sea level will be:-

3  m  =  200

1  m   =  200 / 3

5 m =  200/3  x   5

5m  =  333.34  N / cm²

Therefore the pressure at the depth of 5 meters will be 333.34 N / cm ²

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Answer:

Step-by-step explanation:

All you need do is set up a table with three points

x         y

2        3- 0.5*2 = 2

0        3

6        0

Now plot the 3 points. You should get something that looks like the graph I downloaded for you.

Answer:

B

Step-by-step explanation:

Answer:

h=

\( \frac{15}{4} \)

Step-by-step explanation:

Divide both sides by 8:

\(2 - 7 + 4h = \frac{80}{8} \)

Divide 80 by 8 to get 10:

\(2 - 7 + 4h = 10\)

subtract 7 from 2 to get -5:

\( - 5 + 4h = 10\)

add 5 to both sides:

\(4h = 10 + 5\)

Add 10 and 5 to get 15:

\(4h = 15\)

divide both sides by 4.:

\(h = \frac{15}{4} \)

Hopefully this helps! :)

If Arianna decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

The gain basis for Arianna's converted personal residence to rental property can be calculated by determining the lower value between the adjusted basis and the fair market value.

In this case, the adjusted basis is $300,450 and the fair market value is $270,405.

The gain basis is the lower of the two values, which in this case is $270,405. This means that the gain basis for Arianna's rental property is $270,405.

The gain basis is important for tax purposes as it is used to calculate the taxable gain or loss when the property is eventually sold.

If the property is sold for a higher price than the gain basis, there will be a taxable gain.

On the other hand, if the property is sold for a lower price than the gain basis, there will be a deductible loss.

In Arianna's case, if she decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

It is important to note that there may be additional factors and adjustments that could affect the final tax calculations, such as depreciation deductions and any improvements made to the property.

Consulting a tax professional would provide more accurate and detailed information regarding the tax implications of selling the rental property.

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Given two functions f and g, the denoted fog, is defined by fog(x) = f(g(x)).

The notation fog represents the composite function of f and g. In this notation, fog(x) means applying the function g to x first, and then applying the function f to the result of g(x). In other words, fog(x) = f(g(x)).

The composition of two functions, f and g, is a new function where the output of g becomes the input of f. In other words, we evaluate g(x) first and then use the result as the input for f. This is denoted as fog(x) = f(g(x)).

The denoted fog is defined by fog(x) = f(g(x)), representing the composite function of f and g. The composition of functions, denoted fog, is defined by fog(x) = f(g(x)), where the output of g(x) is used as the input for f.

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Answer: Plug in x=6 and x=2. If you get the same answers for x=6 and x=2, we know that the equations are equal.

Step-by-step explanation:

To determine if the two equations are equivalent, we can plug in x=6 and x=2 to both equations and see if you get the same result.

2x+4-1            [plug in x=6]

2(6)+4-1         [multiply]

12+4-1            [add and subtract]

15

For x=6, we get 15 for 2x + 4-1.

3+x+x            [plug in x=6]

3+6+6           [add]

15

Since we plugged in x=6 for both equations and got 15 for both answers, we know that the two equations are equivalent.

--------------------------------------------------------------------------------------------------------------

Let's plug in x=2 to make sure we are correct.

2x+4-1            [plug in x=2]

2(2)+4-1         [multiply]

4+4-1            [add and subtract]

7

For x=2, we get 7 for 2x + 4-1.

3+x+x            [plug in x=2]

3+2+2           [add]

7

Since we plugged in x=2 for both equations and got 7 for both answers, we know that the two equations are equivalent.

--------------------------------------------------------------------------------------------------------------

With the confirmation of plugging in both x=6 and x=2, and getting the same answers, we know that the two equations are equivalent.

Answer:

hope this helps

Step-by-step explanation:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.          

Using the theory  of the Fundamental Theorem of Calculus, the derivative of the function given in the question as calculated is f'(x) = -(7 + sec (4t).

The given question is incomplete , I am answering it as my general knowledge.

The differential of g(x); g'(x) = f(x).

As a result , the function f'(x)'s derivative is '

f' ( x ) = - √(7 + sec(4t) .

The derivative of a function means the rate of change of function as per the given limits .

It tells us about the sensitivity of the function's value (output value) to changes in its argument .

Derivations are an important part of calculus . The velocity of an item, for instance, is the derivative of its position with respect to time, it tells us how quickly the object's position varies as time passes.

When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable. The function closest to that input value is best approximated linearly by the tangent line.

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The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Answer:

Your answer is $34.75

Step-by-step explanation:

plz mark me brainliest

Answer:

6

Step-by-step explanation:

Answer:

y=6/5+6

Step-by-step explanation:

To determine which proposal(s) to select, we need to compare the present worth or net present value (NPV) of each proposal. The NPV represents the difference between the present value of cash inflows and outflows for each proposal.

For independent proposals at MARR = 15.5% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 15.5%.

Select the proposal(s) with a positive NPV. Positive NPV indicates that the project's expected cash inflows exceed the initial investment and the MARR.

For mutually exclusive proposals at MARR = 10% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 10%.

Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.

For mutually exclusive proposals at MARR = 14% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 14%.

Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.

It's important to note that the specific details of the proposals, including cash inflows, outflows, and timing, are needed to calculate the NPV accurately. Without this information, it is not possible to provide a definitive answer.

Answer:

30

Step-by-step explanation:

To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use

\(\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right]\) and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get

\(\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right]\). The determinant is equal to

\(-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30\)

Answer:

1. 3, 12, 48, 192, 768               Ratio: x4

2. 8, 16, 32, 64, 128                Ratio: x2

3. 120, 60, 30, 15, 7.5             Ratio: ÷2

4. 5, 10, 20, 40, 80, 160          Ratio: x2

5.  1.3?, 4, 12, 36, 108, 324      Ratio: x3

Hope this helps!

I'm not sure about the first one on question 5 though.

Answer:

0.29x

Step-by-step explanation:

let x be the number of oranges Levi bought

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

4y4 the 1st one

may this help you

Answer:

0.535

Step-by-step explanation:

The place value when rounded to 2 significant figure of this number is hundredth ( 0 . 5 3 )

Find the half of a hundredth.

0.01 ÷ 2 = 0.005

Now add 0.005 to 0.53

0.53 + 0.005 = 0.535

Upper bound = 0.535

Answer and Step-by-step explanation:

Haven't done this in a while, so here we go:

The rule (I'm not really sure) would have to be negative number and negative number.

This means that:

(4, 0) would become (-4, 0) A'

(6, -2) becomes (-6, 2) B'

(8, -7) becomes (-8, 7) C'

and (0, -5) becomes (0, 5) D'

#teamtrees #WAP (Water And Plant)

Add the times for each group together and divide by the quantity to find the averages and compare:

Average for green group is: 4.317

Average for blue group is 4.298

The blue group has a lower (faster) average .

Answer: the blue group

This hypothesis test is testing the proportion of commuting students who walk to school.

Hence, you perform a one-sample proportion test.

The alternative hypothesis has a "less than" symbol in it and both of the hypotheses compare the parameter to the value 0.5.

The value of your test statistic is -1.885, which results in a p-value of 0.030.

You could also find the critical value, which is -1.645.

Using the p-value or the critical value, you determine that you reject the null hypothesis.

This means that there is significant evidence to say that the proportion of commuting students that walk is less than half at the 10% level of significance.

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Answer:

1180 miles

Step-by-step explanation:

590 x 2. If 590 miles in 5 hours then in ten it would be double. 590x2=1180.

So 1180 miles

Hope this helps

The expected value of the sample mean of mpg derived from a random sample of four passengers is 30.5 mpg.

The expected value of the sample mean can be calculated using the formula

E(x) = μ

where x is the sample mean, and μ is the population mean.

In this case, the population mean is given as 30.5 mpg. The standard deviation of the population is also given as 4.1 mpg.

The standard deviation of the sample mean can be calculated using the formula

σx = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

σx = 4.1/√4 = 2.05

So the expected value of the sample mean is

E(x) = μ = 30.5 mpg.

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The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\(\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}\)

\(\displaystyle S= \frac{3}{2} \cdot J\)

Therefore;

\(\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}\)

Which gives;

\(\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500\)

\(\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579\)

The number of bottles of apple juice sold, J ≈ 77,579 bottles

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The quadratic function is C(t) = - t² + 5.

We know the equation of the parabola will be given as,

y = a(x - h)² + k

From the table, the coordinate of the vertex will be at (0, 5).

So, the equation can be

C(t) = a(t - 0)² + 5

C(t) = at² + 5

Since, the equation is passing through the point (1, 4)

4 = a (1²) + 5

4 = a + 5

a = - 1

Thus, the required equation is C(t) = - t² + 5.

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