Dr. Ochoa's team attached a beam to the International Space Station creating a right angle. If the height of the International Space Station is 110 kilometers and the length of the attached beam is 75 kilometers, how far is the end of the beam from top of the International Space Station? Round your answer to nearest tenth of a kilometer.

Answer:

-54x+18X2

Step-by-step explanation:

-9x(6-2x)

The answer is -54x+18x2

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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The first part of the graph is Casho going to the store at 1 block per minute:

The next part is the time she spent at the store, therefore the time increased but the number of blocks did not:

The following part is Casho going to the bank at a speed of 3 blocks every 2 minutes for a distance of 6 blocks:

Now, we consider the time she spent at the bank:

Finally, Casho drove back home at a speed of 2 blocks per minute.

Answer:

The graph of the whole trip is as follows:

Answer:

y = (2/3)x

Step-by-step explanation:

Note that (0, 0) and (3, 2) are both points on this line.  The change in y as we go from  (0, 0) to (3, 2) is +2 and the change in x is +3.  

The slope of this line is this m = rise/run = 2/3

and so the desired equation is y = (2/3)x

Answer:

16,000

Step-by-step explanation:

16,000 - answer

Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approx b). 0.9428.

The intelligence quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. The standard deviation of the mean of a sample of 50 adults can be calculated as the population standard deviation divided by the square root of the sample size, or 15/√50 = 1.58.

Using a standard normal distribution table, the probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 can be calculated as the area under the standard normal curve between the z-scores corresponding to 98 and 103. These z-scores can be calculated using the formula z = (x - mean) / standard deviation, where x is the value of interest and mean is the population mean. The z-score for 98 is (98 - 100) / 1.58 = -1.27, and the z-score for 103 is (103 - 100) / 1.58 = 2.53.

The area under the standard normal curve between -1.27 and 2.53 can be found using a standard normal distribution table or a calculator with normal distribution functions. The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approximately 0.9228, which is closest to the answer choice b. 0.9428.

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The length of the straw in a rectangular box of dimensions 9 by 6 by 8 inches is the diagonal of the box, which can be found using the Pythagorean theorem. The length of the diagonal is sqrt(181) inches or about 13.4536 inches.

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Based on the given information, we know that Mr. Habib bought 8 gifts and spent between $2 and $5 on each gift. To find a reasonable total amount that Mr. Habib spent on all of the gifts, we can start by finding the minimum and maximum amounts he could have spent.

If Mr. Habib spent $2 on each gift, then the total amount he spent would be 8 x $2 = $16.
If Mr. Habib spent $5 on each gift, then the total amount he spent would be 8 x $5 = $40.

Therefore, the reasonable total amount that Mr. Habib spent on all of the gifts would fall somewhere between $16 and $40. It could be closer to the lower end of the range if he mostly bought gifts for $2 each, or closer to the higher end of the range if he mostly bought gifts for $5 each. Without more information about how much he spent on each gift, it is difficult to give a more precise estimate.

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The 10 stars chosen were: Sirius, Canopus, Vega, Alpha Centauri, Procyon, Archernar, Altair , Antares, Deneb and Regulus.

How do you measure distance between Earth & stars?

The distance between stars is found using parallax angle.

1)The star which is the largest among the 10 chosen stars is Antares as its size is 680 times that of the Sun.

2)The star which is brightest among the 10 chosen stars is Sirius.

3)The star that we would be able to view without telescope is Pollux.

4)Apparent magnitude of star is the brightness of that star observed from the Earth and it doesn't depend on the size of star. Apparent magnitude depends on the distance of star from the Earth. Lesser the distance,more is the apparent magnitude.

5)Stars can be classified also on the basis of: Temperature, Distance from Sun, mass, absolute magnitude etc.

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Find the required chart attached below.

Answer:

0.24 ounces for 3 teabags.

Step-by-step explanation:

Since this is a 1 digit number, we should find out how much each teabag weighs. We can do this by dividing 8 by 100, which gives us 0.08.

Now we can multiply that by 3, which gives us 0.24, so 3 teabags are 0.24 ounces.

The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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The period of the oscillation is 1/7 seconds

From the question, we have the following statement that can be used in our computation:

Frequency = 7 hertz

The period of the oscillation is calculated as

Period =1/Frequency

Substitute the known values in the above equation, so, we have the following representation

Period =1/7

Hence, the period is 1/7

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Answer:

:( we will all be here for you m :)

Step-by-step explanation:

Answer:

Ong she woulda had to see the hand.

Step-by-step explanation:

...

Answer:

27 square units

3x2+

3x2+

3x2+

3x3

Answer:

30 in

Step-by-step explanation:

3 in × 8 in +2 in × 3 in

=24 in +6in

=30 in

The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).

The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.

The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).

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Ordered pair{(−6,−1),(−8,4),(−5,4),(3,−9)} from the given set of ordered pairs represents the function.

As given in the question,

Given set of ordered pairs following is the one which represents the function :

In the given set of ordered pair for input value 3 there are two outputs 3 and -4 , therefore it is not a function.

In the given set of ordered pair for input value -5 there are two outputs 7 and 8 , therefore it is not a function.

In the given set of ordered pair each input has unique single output. Therefore it is a function.

In the given set of ordered pair for input value -1 there are two outputs 0 and -4 , therefore it is not a function.

Therefore, ordered pair{(−6,−1),(−8,4),(−5,4),(3,−9)}  from the given set of ordered pairs represents the function.

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Answer:

C.

Step-by-step explanation:

The answer is C. Square root 4 and square root 9.

We have three equations with three unknowns: \(y[0]\), \(y[1]\), and \(y[2]\). By solving this system of equations, we can find the output signal \(y[n]\).

To determine the output of the LTI system, we can substitute the given values of the input signal \(x[n]\) into the difference equation:

\(y[n] + \frac{1}{2} y[n-2] = x[n] - \frac{1}{4} x[n-1]\)

Given \(x[n] = \{2, 0, 1\}\), we can substitute these values into the equation:

For \(n = 0\):

\(y[0] + \frac{1}{2} y[-2] = x[0] - \frac{1}{4} x[-1]\)

\(y[0] + \frac{1}{2} y[-2] = 2 - \frac{1}{4} \cdot x[-1]\)

\(y[0] + \frac{1}{2} y[-2] = 2 - \frac{1}{4} \cdot x[-1]\)

For \(n = 1\):

\(y[1] + \frac{1}{2} y[-1] = x[1] - \frac{1}{4} \cdot x[0]\)

\(y[1] + \frac{1}{2} y[-1] = 0 - \frac{1}{4} \cdot 2\)

\(y[1] + \frac{1}{2} y[-1] = -\frac{1}{2}\)

For \(n = 2\):

\(y[2] + \frac{1}{2} y[0] = x[2] - \frac{1}{4} \cdot x[1]\)

\(y[2] + \frac{1}{2} y[0] = 1 - \frac{1}{4} \cdot 0\)

\(y[2] + \frac{1}{2} y[0] = 1\)

We have three equations with three unknowns: \(y[0]\), \(y[1]\), and \(y[2]\). By solving this system of equations, we can find the output signal \(y[n]\).

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Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

Answer:

140.4

Step-by-step explanation:

Answer:

$141.01 and if it is the nearest whole number it would be $141

Step-by-step explanation:

first you have to do 94 divided by 6. you do this to see how much 1 meal cost.

then you get: 15.67

now you take 15.67x3=47.01

cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.

now we take 47.01+94=141.01

we just need to add 3 to the 6 we have to make 9 meals.

so your answer would be $141.01

plz give brainliest!

The area of pentagon ABCDE is 36 times the area of pentagon PQRST.

Any five-sided polygon or 5-gon is referred to as a pentagon. The area of pentagon ABCDE is 36 times the area of pentagon PQRST.

We have,

Any five-sided polygon or 5-gon is referred to as a pentagon. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting.

We know the formula for the area of a pentagon, therefore, the area of the pentagon PQRST can be written as,

A = 1/4 * √5(5+25)*a²

Given that the side of the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, therefore, the area of the pentagon ABCDE can be written as,

ABCDE = 1/4 * √5(5+25)* 6a²

ABCDE = 36 * A

Hence, The area of pentagon ABCDE is 36 times the area of pentagon PQRST.

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complete question:

Pentagon ABCDE is similar to pentagon PQRST. If the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, which

statement is true?

A.

The area of pentagon ABCDE IS 6 times the area of pentagon PQRST.

B.

The area of pentagon ABCDE is 12 times the area of pentagon PQRST.

C.

The area of pentagon ABCDE is 36 times the area of pentagon PQRST.

D.

The area of pentagon ABCDE IS 216 times the area of pentagon PQRST.​

Answer:

y=-1/3x-5

Step-by-step explanation:

Answer: -14

Step-by-step explanation: Hope this helps!!

Answer:

His average speed for the whole trip is 5km/hr

Step-by-step explanation:

Answer:

4.8 km/hr

Step-by-step explanation:

Assume that the distance is 24 km (evenly divisible by 4 & 6)

then the A-B time would be 24/4 or 6 hrs.

on the return the time would be 24/6  or 4 hrs.

total time 10 hrs total distance 48 km....

48/10 = 4.8 km/hr

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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