the number $n$ is a multiple of 7. the base 2 representation of $n$ is \[10110101010101abc110.\]compute the ordered triple of digits $(a,b,c)$.

Answer:

muy bien ami si me funciono la pregunta

Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

Answer:

x=9

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

x* (x+1) = 10*9

Distribute

x^2 +x = 90

Subtract 90 from each side

x^2 +x-90 =0

Factor

(x-9)(x+10) =0

Using the zero product property

x-9=0  x+10=0

x=9  x=-10

Since we cannot have a negative length

x=9

The circle is made up of 2 lines, this means that they will equal each other.

x(x + 1) = 10 * 9

~Simplify

x² + x = 90

~Subtract 90 to both sides

x² + x - 90 = 90 - 90

~Simplify

x² + x - 90 = 0

~Factor out

(x - 9)(x + 10) = 0

~Set both factors to equal 0

x - 9 = 0

x + 10 = 0

~Solve for x in [ x - 9 = 0 ]

x - 9 + 9 = 0 + 9

x = 9

~Solve for x in [ x + 10 = 0 ]

x + 10 - 10 = 10 - 10

x = -10

Since -10 is negative, we can't use it.

Therefore, x = 9

Best of Luck!

An odd number can be written as \(2n+1\) where n is an integer.

If \(2n+1\) is our first odd number, the next consecutive odd number will be 2 more than that. The third one will be 4 more.

If we only add 1, we'd get an even number, so we need to add 2.

First number:

\(2n+1\)

Second number (2 more than the first number):

\(2n+1+2=2n+3\)

Third number (4 more than the first number):

\(2n+1+4 = 2n+5\)

The sum is these 3 numbers added together. Let's do that now:

\((2n+1) + (2n+3) + (2n+5)\)

\(2n + 2n + 2n + 1 + 3 + 5\\6n + 9\)

The sum is, thus, \(6n+9\). We know this sum is equal to -27:

\(6n+9 = -27\)

Subtract 9 from both sides:

\(6n = -36\)

Divide both sides by 6:

\(n = -6\)

Now that we know n, we can find our 3 numbers.

For the first number, we can use its expression in section 2.

\(2n +1 = 2*(-6)+1 = -12+1 = -11\)

For the second number, we can just use the fact that it's 2 more than our first number, -11. If you're wondering why this is, review section 1.

\(-11 + 2 = -9\)

Same for our third number, it's 4 more than our first number or 2 more than our 2nd number:

\(-11 + 4 = -7\\or\\-9 + 2 = -7\)

Our three consecutive numbers are -11, -9, and -7. As we can see, the largest of these three is -7.

Answer: -7

In the data table of the credit score of department collected by Will has no repeating value, so the mode of the data set does not exist.

Mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.

The data for the credit score of department collected by Will is,

634 667 644 892 627 821 857 703 654

The above values shows the complied credit scores of Will's department.The mode of  the given credit score has to be find out.

As we know that the mode of a data set is the value, which occurs most times for that data set. Thus the mode of the above data set, will be the number or credit score which occurs most of the times.

Arrange the above values in ascending order, to find the mode of it as,

627, 634, 644, 654,  667, 703, 821,  857,  892  

As in the above arranged values, there is no repeating term. Thus the mode of the data set does not exist.

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Answer:

D. there is no mode in this group

Step-by-step explanation:

no number repeats

The research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals is False.

Emotional intellect is the capacity to recognize and regulate a person's emotions and comprehend the emotions the others. A high EQ helps you to build connections, lower team stress, defuse battles and improve job fulfillment.

It can help a graduate evolve the best at what they do, be the best coworker possible, and achieve professional victory. Communication, partnership, and relationship-building skills are enhanced by higher levels of emotional intelligence. It also enables best focus on the work.

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The complete question is-

research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals.

a. True

b. False

Answer:

27

Step-by-step explanation:

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

The value of angle x is 36°

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

The sum of angles on a straight line is 180° . therefore if angles on a straight line are A, B, C

A + B + C = 180°

Similarly since the angles on the line are all x, then,

x+x +x +x + x = 180°

5x = 180

divide both sides by 5

x = 180/5

x = 36

This means the value of each angle is 36°

Therefore the value of x is 36°

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Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

Answer:

Step-by-step explanation:

It’s 2

Answer:

\(1 + 1 = 2\)

\(espero \: haberte \: ayudado\)

Answer:

The area of the shape is 84cm squared.

Step-by-step explanation:

-The area for a rectangle is A=l*w.

-The area for a triangle is 1/2*b*w.

-The area for the rectangle is 12cm*6cm=72cm.

-The area for the triangle is 1/2*8cm*3cm=12cm.

-Now you add 72cm+12cm=84cm.

Do not forget:

You must add the small 2 or put squared because it is a 2D figure.

Given that the initial height of the launcher was above ground, the function

created by the student should be transformed upwards.

Reasons:

The function created by the student = h(r), a model of the path of a T-shirt cannon

The part of the equation left out in the function = The initial height of the cannon

The given initial height of the cannon = 4 feet

Required:

The method of correcting the function to model the path of the T-shirt correctly

Solution:

Given that the function created by the student gives the height of the

cannon, and the initial height of the launcher is 4 feet above the ground

The initial function h(r) should be transformed 4 feet in the upward

direction.

The student should add 4 feet to the function by replacing h(r) with h(r) + 4, to account for the increase in all heights by 4 feet;

The correct option is; The student should replace h(r) with h(r) + 4

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Answer:

A 3.14159.......

Step-by-step explanation:

We need a non rational number

3.14159 is pi which is an irrational number

1/7, .27(repeating) and .83333(repeating) can be written in the form

a/b where a and b are integers, which makes them rational

Answer:

its a

Step-by-step explanation:

....

=======================================================

Work Shown:

f(x) = (-1/3)x+8 is the same as y = (-1/3)x+8

Compare this to y = mx+b. The slope is m = -1/3

Flip the fraction to get -1/3 turn into -3/1 = -3. Then flip the negative to positive getting m = 3 as the perpendicular slope.

Side note: the original slope and perpendicular slope multiply to -1.

We want this new equation to go through (x,y) = (-2,6) due to the notation f(-2) = 6

So,

y = mx+b

y = 3x+b ... plug in the perpendicular slope

6 = 3(-2)+b ... plug in the given point's coordinates

6 = -6+b

6+6 = b ... add 6 to both sides

12 = b

b = 12

Therefore the equation y = mx+b becomes y = 3x+12 which is equivalent to f(x) = 3x+12

When we measure a ECG waveform the large boxes represents 0.2 seconds.

To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.

In most ECG papers, the standard calibration is as follows:

These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.

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Answer:

30

Step-by-step explanation:

9r+16=pi5

9r+16=22/7*5

9r+16=15.7

16-15.7=9r

0.3=9r

9r=0.3

r=30

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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\(\huge\fbox{Answer ☘}\)

when x = 3 ; y = 2

\(\bold\blue{✯\:\:\:2x + y}\)

substitue x = 3 and y = 2 in the given equation !

\(\bold{2(3) + 2 = 6 + 2 } \\ \bold{ = > 8}\)

We've to divide 328 in the ratio of 1 : 3

let the respective distribution be x and 3x.

Then ,

\(\bold{x + 3x = 328} \\\bold{ 4x = 328 }\\ \bold{x = \cancel\frac{328}{4} } \\ \\ \bold{x = 82}\)

the respective shares are :

x = $82

3x = $246

6 pens cost $90

therefore ,

cost of 1 pen =

\(\cancel \frac{90}{6} = 15 \\ \)

further ,

cost of 9 such pens = $15 × 9 = $135

0.5 of a pound = 113.398 grams

hope helpful~

The probability of randomly picking 3 red marbles in a row is:

P = 0.0315

If all the marbles have the same probability of being randomly selected, then the probability of selecting at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.

There are 6red ones and (6 + 8 + 5 = 19) 19 marbles in total, then the probability is:

P = 6/19

And we want to do this thing 3 time (when we get the red marble we return it to the bag).

Then we will have the probabilities:

q = 6/19

k = 6/19

The joint probability of these 3 events is the product between the individual probabilities, we will get:

P = (6/19)*(6/19)*(6/19) = 0.0315

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The predicted weight of a girl who is 11 years old, if B0 equals 3, and B1 equals 7, is 80. The correct option is 80.

To find the predicted weight of an 11-year-old girl using the given model, follow these steps:

1. Plug in the given values for B0, B1, and Age into the equation: Weight = B0 + B1*Age + E
2. In this case, B0 = 3, B1 = 7, and Age = 11: Weight = 3 + 7*11 + E
3. Calculate the product of B1 and Age: 7 * 11 = 77
4. Add the result to B0: 3 + 77 = 80
5. Since E represents the error term and is not provided, we will assume it to be zero for this prediction. Thus, the predicted weight is 80.

So, the predicted weight of an 11-year-old girl is 80 (choice A).

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Answer:

8 boys for every 10 girls

Step-by-step explanation:

The required first step Landon should s=150/(1-0.96).

Here,
The distance that the weight travels before it comes to rest can be found using the formula for the sum of an infinite geometric series:

S = a/(1 - r)

where S is the total distance traveled, a is the distance of the first swing, and r is the ratio of the distance of each subsequent swing to the distance of the previous swing.

In this case, a = 150 inches and r = 144/150 = 0.96 (since the return swing is slightly shorter than the previous swing). So the equation that represents the total distance the weight travels before it comes to rest is:

S = 150/(1 - 0.96) = 3750 inches.

Therefore, the correct equation is s=150/(1-0.96).

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The probability that none of the 4 light bulbs work is 0.0256, or approximately 2.56%.

Since each light bulb works independently of the others, we can treat the outcome of each bulb as a Bernoulli trial with a probability of success (working) p = 0.6 and a probability of failure (not working) q = 0.4.

To find the probability that none of the 4 light bulbs work, we need to find the probability of having 0 successful trials out of 4. This can be calculated using the binomial distribution:

P(X=0) = (4 choose 0) * (0.6)^0 * (0.4)^4 = 0.4^4 = 0.0256

Where (4 choose 0) is the number of ways to choose 0 successful trials out of 4, which is 1.

In summary, we can use the binomial distribution to find the probability that none of the 4 light bulbs work, since each bulb works independently of the others. Using this method, we find that the probability is 0.0256 or approximately 2.56%.

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Answer:

This is pretty obvious, the answer is A, 2/3

Step-by-step explanation:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).

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Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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